Education 09 09 2017

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F + B : 448 :: C + D : &&&&&&&? ¥˘ÕMʸ Á≥»Ñʸ 1.

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–˛*yÊ˛Ãå˝ & 3 I : 72 :: K : &&&&&&&&& G) 121 º) 132 Ì‹) 110 yÏ˛) 144 Á‹–ö˛*´ßëØ˲Ö: Ì‹ —–ö˛ΔÊˇ◊˝: I AÖsÙ˝ 9–ö˛ AÑʸΔÊˇÖ 92 & 9 = 81 & 9 = 72 AÃÍVÛ¸ K AÖsÙ˝ 11–ö˛ AÑʸΔÊˇÖ. 112 & 11 = 121 &11 = 110 Á‹–ö˛*´ßëØ˲–ö˛$–ö˛#ô˲$Ö® 25 : 343 :: 36 : &&&&&&&&& G) 512 º) 216 Ì‹) 384 yÏ˛) 337 Á‹–ö˛*´ßëØ˲Ö: G —–ö˛ΔÊˇ◊˝: 25 AØÛ˛® 52. 5+ 2 = 7. 7 Mϸ Áú$ØË˛Ö AÖsÙ˝ 73= 343 AÃÍVÛ¸ 36 AÖsÙ˝ 62. 6 + 2 = 8. 8 Mϸ Áú$ØË˛Ö AÖsÙ˝ 83 = 512 Á‹–ö˛*´ßëØ˲–ö˛$–ö˛#ô˲$Ö®. U : 216 :: R : &&&&&&&& G) 676 º) 729 Ì‹) 576 yÏ˛) 625 Á‹–ö˛*´ßëØ˲Ö: º —–ö˛ΔÊˇ◊˝: U AØÛ˛® Z Ø˲$Ö_ 6–ö˛ AÑʸΔÊˇÖ. 6 Mϸ Áú$ØË˛Ö 63 = 216 AÃÍVÛ¸ R AØÛ˛® Z Ø˲$Ö_ 9–ö˛ AÑʸΔÊˇÖ. 9Mϸ Áú$ØË˛Ö 93 = 729 Á‹–ö˛*´ßëØ˲–ö˛$–ö˛#ô˲$Ö®. 56 : 72 :: 90 : &&&&&&&&&&&&& G) 110 º) 132 Ì‹) 144 yÏ˛) 121 Á‹–ö˛*´ßëØ˲Ö: G —–ö˛ΔÊˇ◊˝: 82 & 8 = 64 & 8 = 56 8 + 1 = 9. 92 & 9 = 81 & 9 = 72 AÃÍVÛ¸ 102 & 10 = 100 & 10 = 90 10 + 1 = 11. 112 & 11 = 121 & 11 = 110 Á‹–ö˛*´ßëØ˲–ö˛$–ö˛#ô˲$Ö®. 8 : 68 :: 12 : &&&&&&&&& G) 176 º) 150 Ì‹) 180 yÏ˛) 164 Á‹–ö˛*´ßëØ˲Ö: º —–ö˛ΔÊˇ◊˝: 82, 8 ÃZ AΔÊˇ¶ øÍVÊ¸Ö 4Ø˲$ Mʸ*yÏ˛ôÛ˛ 68 –ö˛Á‹$¢Ö® 82 + 4 = 64 + 4 = 68 AÃÍVÛ¸ 122 , 12 ÃZ AΔÊˇ¶ øÍVÊ¸Ö 6 MʸÕÌ≥ôÛ˛ 150 –ö˛Á‹$¢Ö® 122 + 6 = 144 + 6 = 150 Á‹–ö˛*´ßëØ˲–ö˛$–ö˛#ô˲$Ö® F +B : 448 :: C + D : &&&&&&& G) 294 º) 492 Ì‹) 364 yÏ˛) 463 Á‹–ö˛*´ßëØ˲Ö: G —–ö˛ΔÊˇ◊˝: F AÖsÙ˝ 6–ö˛ AÑʸΔÊˇÖ. B AÖsÙ˝ 2–ö˛ AÑʸΔÊˇÖ. F + B = 6+2 = 8. 83 & - 82 = 512 &- 64 - = 448 AÃÍVÛ¸ C AÖsÙ˝ 3–ö˛ AÑʸΔÊˇÖ. D AÖsÙ˝ 4–ö˛ AÑʸΔÊˇÖ C + D = 3+ 4 = 7. 73 & - 72= 343 & 49 = 294 Á‹–ö˛*´ßëØ˲–ö˛$–ö˛#ô˲$Ö®. 14 : 189 :: 12 : &&&&&&&&& G) 150 º) 138 Ì‹) 144 yÏ˛) 118 Á‹–ö˛*´ßëØ˲Ö: º —–ö˛ΔÊˇ◊˝: 142 & 7(14 ÃZ AΔÊˇ¶ øÍVʸÖ) = 196 & 7 = 189 AÃÍVÛ¸ 122 & 6(12ÃZ AΔÊˇ¶øÍVʸÖ) = 144 &6 =138 Á‹–ö˛*´ßëØ˲–ö˛$–ö˛#ô˲$Ö® 225 : 121 :: 81: &&&&&&&&&&& G) 36 º) 49 Ì‹) 25 yÏ˛) 16 Á‹–ö˛*´ßëØ˲Ö: Ì‹ —–ö˛ΔÊˇ◊˝: 225 AØÛ˛® 152. 121 AØÛ˛® 112. ΔˇÖsÏ˝ –ö˛$´ßÊ˛≈ øÙ˝ßÊ˛Ö 15 & 11 = 4 AÃÍVÛ¸ 81 AØÛ˛® 92. 25 AØÛ˛® 52 D ΔˇÖsÏ˝ –ö˛$´ßÊ˛≈ øÙ˝ßÊ˛Ö 9 & 5 = 4 Á‹–ö˛*´ßëØË˛Ö 25 A–ö˛#ô˲$Ö®. 8 : 64 :: 27 : &&&&&&&&& G) 512 º) 343 Ì‹) 729 yÏ˛) 216 Á‹–ö˛*´ßëØ˲Ö: yÏ˛ —–ö˛ΔÊˇ◊˝: 8 AØÛ˛® 23. 64 AØÛ˛® 43. 2 Mϸ ΔˇsÏ˝tÖÁ≥# 4. AÃÍVÛ¸ 27 AØÛ˛® 33 216 AØÛ˛® 63. 3Mϸ ΔˇsÏ˝tÖÁ≥# 6. M>∫sÏ˝t Á‹–ö˛*´ßëØË˛Ö 216 A–ö˛#ô˲$Ö®

Panditi Meenakshi Pavan Senior Faculty

Competitive Exams Special 10. 38 : 66 :: 102 : &&&&&&&& G) 146 º) 184 Ì‹) 162 yÏ˛) 198 Á‹–ö˛*´ßëØ˲Ö: G —–ö˛ΔÊˇ◊˝: 38 AØÛ˛® 62+ 2 = 36 + 2 = 38 66 AØÛ˛® 82 + 2 = 64 + 2 = 66 6, 8 –ö˛$´ßÊ˛≈ Ú≥ΔÊˇ$VʸVʸ$ßÊ˛À +2 AÃÍVÛ¸ 102 AØÛ˛® 102 + 2 = 100 + 2 = 102 146 AØÛ˛® 122 + 2 -= 144 + 2 = 146 10, 12 À –ö˛$´ßÊ˛≈ Ú≥ΔÊˇ$Vʸ$ßÊ˛À + 2 M>∫sÏ˝t Á‹–ö˛*´ßëØË˛Ö 146 A–ö˛#ô˲$Ö® 11. G : 56 :: K : &&&&&&&& G) 156 º) 132 Ì‹) 182 yÏ˛) 110 Á‹–ö˛*´ßëØ˲Ö: º —–ö˛ΔÊˇ◊˝: G AØÛ˛® 7–ö˛ AÑʸΔÊˇÖ. 7 2+ 7 = 49 + 7 = 56 AÃÍVÛ¸ K AØÛ˛® 11–ö˛ AÑʸΔÊˇÖ. 112 + 11 = 121 + 11 = 132 Á‹–ö˛*´ßëØ˲–ö˛$–ö˛#ô˲$Ö® 12. 2 : 32 :: 3 :&&&&&& G) 729 º) 81 Ì‹) 243 yÏ˛) 326 Á‹–ö˛*´ßëØ˲Ö: Ì‹ —–ö˛ΔÊˇ◊˝: 2 x 2 x 2 x 2 x 2 = 32 AÖsÙ˝ 25 = 32 AÃÍVÛ¸ 3 x 3 x 3 x 3x 3 = 35 = 243 Á‹–ö˛*´ßëØ˲–ö˛$–ö˛#ô˲$Ö®. 13. 81 : 95 :: 72 : &&&&&&&&&& G) 86 º) 90 Ì‹) 96 yÏ˛) 104 Á‹–ö˛*´ßëØ˲Ö: G —–ö˛ΔÊˇ◊˝: 81+ 14 = 95 AÃÍVÛ¸ 72 + 14 = 86 Á‹–ö˛*´ßëØ˲–ö˛$–ö˛#ô˲$Ö® 14. 27 : 65 :: 64 : &&&&&&&&&&& G) 124 º) 125 Ì‹) 126 yÏ˛) 128 Á‹–ö˛*´ßëØ˲Ö: Ì‹ —–ö˛ΔÊˇ◊˝: 3 Áú$ØË˛Ö 27, 4 Áú$ØË˛Ö 64 + 1= 65 3Mʸ$ ô˲ßÊ˛$Á≥« Á‹ÖQ≈ 4 AÃÍVÛ¸ 4 Áú$ØË˛Ö 64 4Mʸ$ ô˲ßÊ˛$Á≥« Á‹ÖQ≈ 5. M>∫sÏ˝t 53 + 1 = 125 + 1 = 126 Á‹–ö˛*´ßëØ˲–ö˛$–ö˛#ô˲$Ö® 15. 2 : 6 :: 5 : &&&&&&&& G) 55 º) 45 Ì‹) 65 yÏ˛) 35. Á‹–ö˛*´ßëØ˲Ö: yÏ˛ —–ö˛ΔÊˇ◊˝: 2Mʸ$ ô˲ßÊ˛$Á≥« {Á≥´ßëØ˲ Á‹ÖQ≈ 3 ^Û˛ Vʸ$◊Ï˝Ö^˲V> 2 x 3 = 6. AÃÍVÛ¸ 5Mʸ$ ô˲ßÊ˛$Á≥« {Á≥´ßëØ˲ Á‹ÖQ≈ 7 ^Û˛ Vʸ$◊Ï˝Ö^˲V> 5 x 7 = 35 Á‹–ö˛*´ßëØ˲–ö˛$–ö˛#ô˲$Ö® 16. 144 :13 :: 196 : &&&&&&&&& G) 15 º) 17 Ì‹) 19 yÏ˛) 18 Á‹–ö˛*´ßëØ˲Ö: G —–ö˛ΔÊˇ◊˝: 144 AØÛ˛® 122. 12 Ø˲Mʸ$ ô˲ßÊ˛$Á≥« Á‹ÖQ≈ 13. AÃÍVÛ¸ 196 AØÛ˛® 142. 14Ø˲Mʸ$ ô˲ßÊ˛$Á≥« Á‹ÖQ≈ 15 Á‹–ö˛*´ßëØ˲–ö˛$–ö˛#ô˲$Ö® 17. 10 : 50 :: 12 : &&&&&&&&&& G) 80 º) 72 Ì‹) 84 yÏ˛) 96 Á‹–ö˛*´ßëØ˲Ö: º —–ö˛ΔÊˇ◊˝: 10 x 10 = 100, 100/ 2 = 50 AÃÍVÛ¸ 12x12 = 144, 144/ 2 = 72 Á‹–ö˛*´ßëØ˲–ö˛$–ö˛#ô˲$Ö®. 18. 2 : 30 :: 3 : &&&&&&&&&& G) 150 º) 120 Ì‹) 140 yÏ˛) 180 Á‹–ö˛*´ßëØ˲Ö: º —–ö˛ΔÊˇ◊˝: 24 + 23 + 22 + 2 = 16 + 8 + 4 +

2 = 30 AÃÍVÛ¸ 34 + 33 + 32 + 3 = 81 + 27 + 9 + 3 = 120 Á‹–ö˛*´ßëØ˲–ö˛$–ö˛#ô˲$Ö®. 19. 8 : 76 :: 10 : &&&&&&&& G) 110 º) 120 Ì‹) 115 yÏ˛) 130 Á‹–ö˛*´ßëØ˲Ö: Ì‹ —–ö˛ΔÊˇ◊˝: 82 + 8 + 4(8ÃZ AΔÊˇ¶øÍVʸÖ) 64 + 8 + 4 = 76 AÃÍVÛ¸ 102 + 10 + 5(10ÃZ AΔÊˇ¶øÍVʸÖ) 100 + 10 + 5 = 115 Á‹–ö˛*´ßëØ˲–ö˛$–ö˛#ô˲$Ö® 20. 16 : 64 :: 25 : &&&&&&&&&&& G) 150 º) 216 Ì‹) 180 yÏ˛) 125 Á‹–ö˛*´ßëØ˲Ö: yÏ˛ —–ö˛ΔÊˇ◊˝: 16 AØÛ˛® 42. 64 AØÛ˛® 43 AÃÍVÛ¸ 25 AØÛ˛® 52. M>∫sÏ˝t 53 = 125 Á‹–ö˛*´ßëØ˲–ö˛$–ö˛#ô˲$Ö® 21. 6 : 108 :: 8 : &&&&&&&&& G) 128 º) 256 Ì‹) 324 yÏ˛) 412 Á‹–ö˛*´ßëØ˲Ö: º —–ö˛ΔÊˇ◊˝: 6 Áú$Ø˲ÖÃZ Á‹VʸøÍVÊ¸Ö 108. AÖsÙ˝ 63 = 216 CÖßÊ˛$ÃZ Á‹VÊ¸Ö 108. AÃÍVÛ¸ 8 Áú$ØË˛Ö 83 = 512 CÖßÊ˛$ÃZ Á‹VÊ¸Ö 256. 22. 7 : 98 :: 9 : &&&&&&&& G) 156 º) 172 Ì‹) 162 yÏ˛) 184 Á‹–ö˛*´ßëØ˲Ö: Ì‹ —–ö˛ΔÊˇ◊˝: 7 –ö˛Δ>Y∞≤ 2 ô¯ Vʸ$◊Ï˝ı‹¢ 98 –ö˛Á‹$¢Ö®. 72 x 2 = 49 x 2 = 98 AÃÍVÛ¸ 9 –ö˛Δ>Y∞≤ 2 ô¯ Vʸ$◊Ï˝ı‹¢ 92 x 2 = 81 x 2 = 162 Á‹–ö˛*´ßëØ˲–ö˛$–ö˛#ô˲$Ö®. 23. 6 : 180 :: 5 : &&&&&&&& G) 100 º) 120 Ì‹) 140 yÏ˛) 160 Á‹–ö˛*´ßëØ˲Ö: G —–ö˛ΔÊˇ◊˝: 6 Áú$ØË˛Ö & 6 –ö˛ΔÊˇYÖ = 180 63 & 62 = 216 & 36 = 180 AÃÍVÛ¸ 5 Áú$ØË˛Ö & 5 –ö˛ΔÊˇYÖ = 53 & 52 = 125 & 25 = 100 Á‹–ö˛*´ßëØ˲–ö˛$–ö˛#ô˲$Ö®. 24. 3 : 54 :: 4 : &&&&&&&& G) 156 º) 180 Ì‹) 174 yÏ˛) 128 Á‹–ö˛*´ßëØ˲Ö: yÏ˛ —–ö˛ΔÊˇ◊˝: 3 Áú$ØÈ∞≤ 2 ô¯ Vʸ$◊Ï˝ı‹¢ 54 –ö˛Á‹$¢Ö® 33 x 2 = 27 x 2 = 54 AÃÍVÛ¸ 4 Áú$ØÈ∞≤ 2 ô¯ Vʸ$◊Ï˝ı‹¢ 43 x 2 = 64 x 2 = 128 Á‹–ö˛*´ßëØ˲–ö˛$–ö˛#ô˲$Ö®. 25. F : 252 :: H : &&&&&&& G) 512 º) 538 Ì‹) 612 yÏ˛) 576 Á‹–ö˛*´ßëØ˲Ö: yÏ˛ —–ö˛ΔÊˇ◊˝: F AÖsÙ˝ –ö˛ΔÊˇ~–ö˛*À {Á≥M>ΔÊˇÖ 6–ö˛ AÑʸΔÊˇÖ. 6 Áú$ØË˛Ö + 6 –ö˛ΔÊˇYÖ = 63 + 62 = 216 + 36 = 252 AÃÍVÛ¸ H AÖsÙ˝ –ö˛ΔÊˇ~–ö˛*À {Á≥M>ΔÊˇÖ 8–ö˛ AÑʸΔÊˇÖ. 8 Áú$ØË˛Ö + 8 –ö˛ΔÊˇYÖ = 83 + 82 = 512 + 64 = 576 Á‹–ö˛*´ßëØ˲–ö˛$–ö˛#ô˲$Ö®. 26. 6 : 174 :: 8 : &&&&&& G) 508 º) 506 Ì‹) 440 yÏ˛) 512 Á‹–ö˛*´ßëØ˲Ö: Ì‹ —–ö˛ΔÊˇ◊˝: 6 Áú$ØË˛Ö & (6 –ö˛ΔÊˇYÖ + B AÖM¸(6)) 63 & (62 + 6) = 63 & 42 = 216 & 42 = 174 AÃÍVÛ¸ 83 & (82 + 8) = 512 &(64 + 8) = 512 & 72 = 440 Á‹–ö˛*´ßëØ˲–ö˛$–ö˛#ô˲$Ö®. 27. 6 : 258 :: 8 : &&&&&&&&& G) 384 º) 584 Ì‹) 372 yÏ˛) 416 Á‹–ö˛*´ßëØ˲Ö: º —–ö˛ΔÊˇ◊˝: 6 Áú$ØË˛Ö + 6 –ö˛ΔÊˇYÖ + 6 = 258 63 + 62 + 6 = 216 + 36 + 6 = 258 AÃÍVÛ¸ 8 Áú$ØË˛Ö + 8 –ö˛ΔÊˇYÖ + 8 = 83 + 82 + 8 = 512 + 64 + 8 = 584 Á‹–ö˛*´ßëØ˲–ö˛$–ö˛#ô˲$Ö® 28. 3 : 81 :: 4 : &&&&&&& G) 196 º) 240 Ì‹) 128 yÏ˛) 256 Á‹–ö˛*´ßëØ˲Ö: yÏ˛ —–ö˛ΔÊˇ◊˝: 3 x 3 x 3x 3 = 81 4 x 4 x 4 x 4 = 256 Á‹–ö˛*´ßëØ˲–ö˛$–ö˛#ô˲$Ö®.

‘Ë ∞–ÈΔÊ Ö 9 Ú‹Ú≥tÖ∫ΔÊˇ$ 2017

E߯≈V>À$ Gã‹Gب˛Ì‹Ì‹GãúGÃå˝ ÚflO˝ßÊ˛Δ>ªÍßä˛ÃZ∞ Ô‹à ∞´® {M¸yÏ˛så˝ M¯ BÁ≥ΔÛˇsÏ˝–í˛ ÚúyÊ˛ΔÛˇÁŸØ¨˛ Õ—$sÒ˝yä˛(Gã‹Gب˛Ì‹Ì‹GãúGÃå˝)& ô˛ÀÖV>◊˝ hÃÍœÃZœ M>Ö{sÍMä¸t {¥ÎÜÁ≥®MʸØ˲ AÌ‹Ú‹tÖså˝ –Û˛$ØÛ˛fΔäˇ(–ö˛*∞r«ÖVä¸) ¥˘Á‹$tÀ øÊ˝»¢MϸV>Ø˲$ –ö˛$Ìfl˝‚Ê˝À Ø˲$Ö_ ßÊ˛ΔÊˇRÍÁ‹$¢À$ M¯ΔÊˇ$ô¯Ö®. –˛$$ô˲¢Ö R͉À$: 77 hÃÍœÀ–È» R͉À$: B®ÃͪÍßä˛ 2, øÊ˝{ßë{® 3, fWôÈ≈À 4, fØ˲V>Ö 3, fƒÊ˝$‘Ë˝ÖMʸΔäˇ 1, gZVʸ$ ÃÍÖ∫ 1, M>–ö˛*ΔˇyÏ˛z 3, Mʸ»ÖØ˲VʸΔäˇ 4, Q–ö˛$√Ö 4, Mˆ–ö˛$ΔÊˇÖ ¡Ö 1, –ö˛$Áfl˝∫*ªÍªÍßä˛ 2, –ö˛$Áfl˝∫*ªå˝ Ø˲VʸΔäˇ 3, –ö˛$Ö_Δ>≈À 3, –˛$ßÊ˛Mä¸ 2, –Û˛$yÊ˛aÃå˝& –ö˛$ÃÍPhW« 1, ØÈVʸΔäˇMʸΔÊˇ*≤À$ 1, Ø˲ÃüYÖyÊ˛ 6, ∞ΔÊˇ√Ãå˝ 2, ∞gÍ–ö˛*ªÍßä˛ 3, Ú≥ßÊ˛™Á≥Õœ 3, Δ>fØ˲≤ 2, ΔÊˇÖV>ΔˇyÏ˛z 2, Á‹ÖV>ΔˇyÏ˛z 3, Ì‹®™ı≥r 3, Á‹*Δ>≈ı≥r 2, —M>Δ>ªÍßä˛ 1, –ö˛Ø˲Á≥«¢ 1, –ö˛ΔÊˇÖVʸÃå˝ ΔÊˇ*ΔÊˇÃå˝ 4, –ö˛ΔÊˇÖVʸÃå˝ AΔÊˇæب˛ 4, ƒÊ˝*ßÊ˛W« øÊ˝$–ö˛Ø˲W« 3 –ö˛ƒÊ˝$Á‹$: BVʸÁ‹$t 31 ØÈsÏ˝Mϸ 25 Ø˲$Ö_ 35 H‚Ê˝œ –ö˛$´ßÊ˛≈ EÖyëÕ. AΔÊˇ·ô˲: Vʸ$«¢ÖÁ≥# ¥˜Ö®Ø˲ Á‹ÖÁ‹¶ Ø˲$Ö_ yÏ˛{X E°¢ ΔÊˇ$~ÃÒ˝O EÖyëÕ. ô˛À$Vʸ$, CÖXœãŸ øÍÁŸÀ$ ^˲ßÊ˛–ö˛yÊ˛Ö, Δ>ƒÊ˝$yÊ˛ÖÃZ {¥Î“◊˝≈Ö EÖyëÕ. Gã‹Úfl˝^¨˛h –˛$Ö∫ΔÊˇ$V> Mʸ±Á‹Ö BΔÊˇ$ Ø˛ÀÀ$ Á≥∞^Û˛Ì‹ EÖyëÕ. –Û˛ô˲Ø˲Ö: Ø˛ÀMʸ$ ΔÊˇ*.13,000 + GãúsÏ˝H MϸÖßÊ˛ ΔÊˇ*.3,500 + –˛Ìfl˝MϸÃå˝ AÀ–˛Ø¨˛fi MϸÖßÊ˛ ΔÊˇ*.700 C›Î¢ΔÊˇ$. {¥˜ªÒ˝ÁŸØ¨˛: BΔÊˇ$ Ø˛ÀÀ$ M>Ö{sÍMä¸t –ö˛≈–ö˛´®: AøÊ˝≈ΔÊˇ$¶À Á≥Δ>πΔˇ√ب˛fi B´ßëΔÊˇÖV> HsÍ M>Ö{sÍMʸ$t –ö˛≈–ö˛´®∞ Ú≥Ö^˲$ô˲$ÖsÍΔÊˇ$. GÖÌ≥Mʸ: Δ>ô˲ Á≥»Ñʸ, {Vʸ*ã≥ yÏ˛Á‹PÁŸØ¨˛ ßë”Δ> Δ>ô˲ Á≥»Ñʸ: AM¯t∫ΔÊˇ$ 8Ø˲ Á≥»Ñʸ MÛ¸Ö{ßÊ˛Ö: TSIPARD, Rajendranagar, Hyderabad.

Δ>ô˲ Á≥»Ñʸ —–ö˛Δ>À$: Á≥»Ñʸ Á‹–ö˛$ƒÊ˝$Ö VʸÖrØ˲≤ΔÊˇ. CÖßÊ˛$ÃZ 65 –ö˛*ΔÊˇ$PÀMʸ$ BªÒ˝jMϸt–í˛ sÒ˝Oã≥ {Á≥‘Ë˝≤À$, 10 –ö˛*ΔÊˇ$PÀMʸ$ yÏ˛{Ì‹PÌ≥t–í˛ sÒ˝Oã≥ {Á≥‘Ë˝≤À$, 5 –ö˛*ΔÊˇ$PÀMʸ$ M>Ö{Á≥Úfl˝Ø˲¤Ø¨˛ C›Î¢ΔÊˇ$. MʸΔˇÖså˝ AÚúOΔäˇfiá fØ˲ΔÊˇÃå˝ ØÈÃÒ˝yä˛j, fØ˲ΔÊˇÃå˝ CÖXœãŸ, AΔÊˇ¶–˛$sÏ˝Mä¸ á »f∞ÖVä¸, Gã‹Úfl˝^¨˛h á ÚúyÊ˛ΔÛˇÁŸØ¨˛fi, ªÙ˝Ì‹Mä¸ ØÈÃÒ˝yä˛j Bب˛ MʸÖÁ≥N≈rΔäˇfi Á‹Ö∫Ö´®ô˲ AÖ‘ÈÀØ˲$Ö_ {Á≥‘Ë˝≤À$ –ö˛›Î¢Δˇ$$. ßÊ˛ΔÊˇRÍÁ‹$¢Mʸ$ BQΔÊˇ$ ôÛ˛©: Ú‹Ú≥tÖ∫ΔÊˇ$ 22 –˛ªå˝Ú‹Oså˝: www.serp.telangana.gov.in www.streenidhi.telangana.gov.in www.tsipard.gov.in

IIsÏ˝ V¯–È V¯–ÈÃZ∞ CÖyÏ˛ƒÊ˝$ب˛ Cب˛Ì‹tr*≈så˝ Bãú sÒ˝M>≤Ài (IIsÏ˝)& Mϸ֮ ¥˘Á‹$tÀ øÊ˝»¢Mϸ ßÊ˛ΔÊˇRÍÁ‹$¢À$ M¯ΔÊˇ$ô¯Ö®. –˛$$ô˲¢Ö R͉À$: 21 ¥˘Á‹$tÀ$ & R͉À$: AÌ‹Ú‹tÖså˝ «h›ÎâΔäˇ 3, ÃÒ˝O{∫» BÔúÁ‹Δäˇ 1, –˛$yÏ˛MʸÃå˝ BÔúÁ‹Δäˇ 1, l∞ƒÊ˝$Δäˇ Á‹*Á≥«ÖsÒ˝Öy˛Öså˝ 5, Ì‹Á‹tÖ AyÏ˛√∞ı‹ârΔäˇ 1, l∞ƒÊ˝$Δäˇ CÖf±Δäˇ 2, l∞ƒÊ˝$Δäˇ ›Îtãú Ø˲Δäˇfi 1, l∞ƒÊ˝$Δäˇ AÌ‹Ú‹tÖså˝ 5, l∞ƒÊ˝$Δäˇ ÃÍ≈ªå˝ AÌ‹Ú‹tÖså˝ 2 ßÊ˛ΔÊˇRÍÁ‹$¢Mʸ$ BQΔÊˇ$ ôÛ˛©:Ú‹Ú≥tÖ∫ΔÊˇ$ 15 _ΔÊˇ$ØÈ–ö˛*: Recruitment Cell, Administration Section, Main Building, Indian Insti tute of Technology Goa, At Goa Engineer ing College Campus, Farmagudi, Ponda- 403401 –˛ªå˝Ú‹Oså˝:www.iitgoa.ac.in/staffrecruit.php

IIsÏ˝ V¯–È & Mϸ֮ —øÍV>ÃZœ AÌ‹Ú‹tÖså˝ {¥˜ÚúÁ‹Δäˇ, A›˘Ì‹ƒÙ˝$så˝ {¥˜ÚúÁ‹Δäˇ, {¥˜ÚúÁ‹Δäˇ ¥˘Á‹$tÀ øÊ˝»¢Mϸ —yÏ˛V> {Á≥MʸrØ˲ —yÊ˛$ßÊ˛À ^Û˛Ì‹Ö®. Ú‹Oب˛fi —øÍV>À$: ÌúhMä¸fi, M¸—$Ô‹â, –Û˛$£Ê˛–˛$sÏ˝Mä¸fi CÖf±«ÖVä¸ —øÍV>À$: MʸÖÁ≥N≈rΔäˇ Ú‹Oب˛fi, GÀMϸâMʸÃå˝, –˛$M>∞MʸÃå˝, Õ∫ΔÊˇÃå˝ BΔäˇtfi —øÍV>À$: Áfl˝ì≈–ö˛*∞sÓ˝ã‹, ›˘ÁŸÃå˝ Ú‹OØ˛fiã‹. AøÊ˝≈ΔÊˇ$¶À$ ô˲–ö˛$ ßÊ˛ΔÊˇRÍÁ‹$¢Ø˲$ C–˛$Δˇ$$Ãå˝Mϸ Á≥ÖÁ≥#M¯–ÈÕ. C-&–˛$Δˇ$$Ãå˝: faculty-recruitment@iitgoa.ac.in –˛ªå˝Ú‹Oså˝: www.iitgoa.ac.in/Faculty-rec.php


‘Ë˝∞–ÈΔÊˇÖ 9 Ú‹Ú≥tÖ∫ΔÊˇ$ 2017

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BÖ{´ßÊ˛gZ≈Ü

15

øÍΔÊˇô¨˛ÃZ –˛$$rt–˛$$ßÊ˛sÏ˝ fØ˲$≈–ö˛*«µyÏ˛ Á≥Ör? i–ö˛›ÎÖMÛ¸ÜMʸ ‘È{Á‹¢Ö & EÁ≥ƒÒ˝*V>À$ 1. {ªÒ˝yÊ˛$z ô˲ƒÊ˝*»ÃZ EÁ≥ƒÒ˝*WÖ^Û˛ Á‹*Ñʸ√i—? G) ªÍ≈MÓ¸t«ƒÊ˝* º) –˛OΔÊˇã‹ Ì‹) Dã‹t yÏ˛) ‘˝O–ö˛ÀÖ 2. ¥ÎÀØ˲$ Ú≥ΔÊˇ$Vʸ$V> –ö˛*ΔÛˇa ªÍ≈MÓ¸t«ƒÊ˝*? G) C.MˆÃÒ˝O º) ÃÍM¯t ªÍÌ‹ÃÒ˝ïœ Ì‹) Á‹*y¯–˛*ØÈã‹ yÏ˛) ›ÎÃZ√Ø˛ÃÍœ 3. –˛$$ÃÍÌ‹ã‹ Ø˲$Ö_ Mϸ◊˝”Ø˲ {Á≥{MϸƒÊ˝$ ßë”Δ> BÃÍP‡Ãå˝Ø˲$ Eô˲µÜ¢ ^Û˛ı‹ i—? G) ÃÍM¯t ªÍÌ‹ÃÒ˝ïœ º) ‘Ë˝RÍΔ¯–˛$OÌ‹ã‹ Ì‹) BÁ‹µΔäˇ hÀœã‹ yÏ˛) GÌ‹sZ ªÍMʸtΔäˇ 4. Mϸ◊˝”ØË˛Ö ßë”Δ> Ì‹{sÏ˝Mä¸ B–ö˛*œ∞≤ Eô˲µÜ¢ ^Û˛ı‹ i—? G) GÌ‹sZ ªÍMʸtΔäˇ º) ‘Ë˝RÍΔ¯–˛$OÌ‹ã‹ Ì‹) ÃÍM¯t ªÍÌ‹ÃÒ˝ïœ yÏ˛) BÁ‹µΔäˇ hÀœã‹ 5. Mϸ֮ –ÈsÏ˝ÃZ Mϸ◊˝”Ø˲ {Á≥{MϸƒÊ˝$ ßë”Δ> H® Eô˲µÜ¢ A–ö˛#ô˲$Ö®? G) {ªÒ˝yä˛ º) Ú≥ΔÊˇ$Vʸ$ Ì‹) BÀP‡Ãå˝ yÏ˛) Ú≥O–ö˛±≤ 6. Mϸ◊˝”Ø˲ {Á≥{MϸƒÊ˝$ÃZ Eô˲µÜ¢ AƒÙ˝$≈ –ÈƒÊ˝$$–ö˛#? G) BMϸfifب˛ º) M>ΔÊˇæب˛ y˛O BM¸Ofiyä˛ Ì‹) Á‹ÀπΔäˇ y˛O BM¸Ofiyä˛ yÏ˛) Ú≥O–ö˛±≤ 7. Mϸ֮ –ÈsÏ˝ÃZ Á‹*Ñʸ√i–ö˛ ØÈ‘Ë˝MÊ¸Ö H®? G) Ú≥∞fiÕب˛ º) CØ˲$fiÕب˛ Ì‹) {Ú‹t¥˘t–˛$Őب˛ yÏ˛) H©M>ßÊ˛$ 8. AÜ´£Û˛Δˇ$$ ‘Ë˝»ΔÊˇÖÃZ CÖrΔäˇÚúΔ>Ø˲œØ˲$ Eô˲µÜ¢ ^Û˛ı‹ –È≈´®M>ΔÊˇMʸ i—? G) –˛OΔÊˇã‹ º) ªÍ≈MÓ¸t«ƒÊ˝* Ì‹) ’ŒÖ{´ßÊ˛Ö yÏ˛) ‘˝O–ö˛ÀÖ 9. Mϸ֮ –ÈsÏ˝ÃZ ’ŒÖ{´ßÊ˛Öô¯ Eô˲µÜ¢ M>∞®? G) Ì‹{sÏ˝Mä¸ B–ö˛$œÖ º) Ú≥∞fiÕب˛ Ì‹) {Ú‹t¥˘t–˛$Őب˛ yÏ˛) Ú≥O–ö˛±≤ 10. Ú≥∞fiÕب˛Ø˲$ MʸØ˲$VˆØ˲≤ ‘È{Á‹¢–Û˛ô˲¢? G) GyÊ˛”Δäˇz gÒ˝Ø˲≤Δäˇ º) –ÈMä¸fi–ö˛$ب˛ Ì‹) ›ÎºØ¨˛ yÏ˛) AÃÒ˝V>jÖyÊ˛Δäˇ Úúœ—$ÖVä¸ 11. Mϸ֮ –ÈsÏ˝ÃZ ªÍ≈MÓ¸t«ƒÊ˝*ô¯ Eô˲µÜ¢ AƒÙ˝$≈ Á≥ßëΔÊˇ¶Ö? G) Ú≥ΔÊˇ$Vʸ$ º) {Ú‹t¥˘t–˛$Őب˛ Ì‹) –˛∞VʸΔäˇ yÏ˛) Ú≥O–ö˛±≤ 12. ØÛ˛ÀÃZ Ø˲{ô˲f∞ ‘ÈôÈ∞≤ Ú≥Ö^Û˛ ªÍ≈MÓ¸t«ƒÊ˝* H®? G) ΔˇOgZºƒÊ˝$Ö º) Á‹*y¯–˛*ØÈã‹ Ì‹) ªÍÌ‹Àœã‹ ô˲$«ÖgÒ˝Ø˛Ì‹Ø¨˛ yÏ˛) C.M¯ÃÒ˝O 13. "Á‹*Á≥Δäˇ ∫Vä¸' A∞ Ì≥Õ^Û˛ ªÍ≈MÓ¸t«ƒÊ˝* H®? G) C.MˆÃÒ˝O º) Á‹*y¯–˛*ØÈã‹ Ì‹) ΔˇOgZºƒÊ˝$Ö yÏ˛) AVÊ¸Δ¯ ªÍ≈MÓ¸t«ƒÊ˝$Ö 14. BCG AØÛ˛ –È≈Mϸfiب˛ H –È≈´®∞ ∞–È«Á‹$¢Ö®? G) ÑʸƒÊ˝$ º) ´ßÊ˛Ø˲$Δ>”ôË˛Ö Ì‹) M¯«Öô˲ ßÊ˛Vʸ$Y yÏ˛) M>≈Ø˲fiΔäˇ 15. Ú≥∞fiÕب˛Ø˲$ H Á‹*Ñʸ√i—ÃZ MʸØ˲$VˆØÈ≤ΔÊˇ$? G) ªÍ≈MÓ¸t«ƒÊ˝* º) –˛OΔÊˇã‹ Ì‹) ’ŒÖ{´ßÊ˛Ö yÏ˛) ‘˝O–ö˛ÀÖ

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øÍΔÊˇô¨˛ Á‹Ö^ÈΔäˇ ∞Vʸ–í˛$ Õ—$sÒ˝yä˛(ºGã‹Gب˛GÃå˝)& "y˛OΔˇMä¸t l∞ƒÊ˝$Δäˇ AM˙Öså˝fi BÔúÁ‹Δäˇfi' (yÏ˛BΔäˇ & gÒ˝GJ)& ¥˘Á‹$tÀ øÊ˝»¢Mϸ {Á≥MʸrØ˲ —yÊ˛$ßÊ˛À ^Û˛Ì‹Ö®. –˛$$ô˲¢Ö ¥˘Á‹$tÀ$: 996(BÖ{´ßÊ˛{Á≥ßÛ˛‘¨˝Mʸ$ 72 ¥˘Á‹$tÀ$, ô˛ÀÖV>◊˝Mʸ$ 19 ¥˘Á‹$tÀ$ MÛ¸sÍΔˇ$$Ö^ÈΔÊˇ$) AΔÊˇ·ô˲: fØ˲–ö˛« 1 ØÈsÏ˝Mϸ Vʸ$«¢ÖÁ≥# ¥˜Ö®Ø˲ Á‹ÖÁ‹¶ Ø˲$Ö_ GÖM>Ö/ Ô‹H/ IÌ‹yÊ˛∫$œ≈HI/ Ì‹Gã‹ Á≥N«¢^Û˛Ì‹ EÖyëÕ. –ö˛ƒÊ˝$Á‹$: fØ˲–ö˛« 1 ØÈsÏ˝Mϸ 20 Ø˲$Ö_ 30 H‚Ê˝œ –ö˛$´ßÊ˛≈ EÖyëÕ GÖÌ≥Mʸ: Bب˛ÃÒ˝Oب˛ M>ÖÌ≥sÙ˝sÓ˝–í˛ GV>j—$ØÛ˛ÁŸØ¨˛ 2017 ßë”Δ> Bب˛ÃÒ˝Oب˛ M>ÖÌ≥sÙ˝sÓ˝–í˛ GV>j—$ØÛ˛ÁŸØ¨˛ 2017 fΔÊˇ$VÛ¸ ôÛ˛©: Ø˲–ö˛Ö∫ΔÊˇ$ 5Ø˲ M>ÖÌ≥sÙ˝sÓ˝–í˛ GV>j–í˛$ —–ö˛Δ>À$: CÖßÊ˛$ÃZ ΔˇÖyÊ˛$ ı≥Á≥ΔÊˇ$œ EÖsÍΔˇ$$. {Á≥Ü ı≥Á≥ΔäˇMʸ$ 3 VʸÖrÀ Á‹–ö˛$ƒÊ˝$Ö C›Î¢ΔÊˇ$. –˛$$ßÊ˛sÏ˝ ı≥Á≥Δäˇ 150 –ö˛*ΔÊˇ$PÀMʸ$ EÖr$Ö®. 100 –ö˛*ΔÊˇ$PÀMʸ$ fØ˲ΔÊˇÃå˝ CÖXœãŸ {Á≥‘Ë˝≤À$, 50

G) VÛ¸ß˛ º) Vˆ{ΔˇÌ≥Àœ Ì‹) V>yÏ˛ßÊ˛ yÏ˛) HØ˲$Vʸ$ 16. Mϸ֮ H i—ÃZ {¥˘sÓ˝Ø˲$œ Á≥#ÁŸPÀÖV> 28. M¯œ∞ÖVä¸ Á≥ßÊ˛ÆÜ ßë”Δ> –˛$$ßÊ˛sÏ˝ VÛ¸ß˛Ø˲$ EÖsÍΔˇ$$? Á≥#sÏ˝tÖ_Ø˲ ßÛ˛‘Ë˝Ö? G) Ú‹OµΔÊˇ$ŒØ˲ º) ÃÍM¯t ªÍÌ‹Àœã‹ G) A–˛$«M> º) CÖVʸœÖyä˛ Ì‹) AVÊ¸Δ¯ ªÍ≈MÓ¸t«ƒÊ˝$Ö yÏ˛) Ú≥O–ö˛±≤ Ì‹) {∏Îب˛fi yÏ˛) øÍΔÊˇô¨˛ 17. H ªÍ≈MÓ¸t«ƒÊ˝*Ø˲$, ±sÏ˝ M>À$⁄Î≈∞≤ 29. M¯œ∞ÖVä¸ ßë”Δ> Á≥#sÏ˝tØ˲ –˛$$ßÊ˛sÏ˝ VÛ¸ß˛ ô˛À$Á‹$MˆØÛ˛ CÖyÏ˛MÛ¸rΔäˇ i—V> ı≥ΔÊˇ$? EÁ≥ƒÒ˝*W›Î¢ΔÊˇ$? G) yëŒ º) Á‹ÖΔÊˇ*Á≥ Ì‹) Ø˲*» yÏ˛) Á≥N«~–ö˛$ G) C‘Ë˝a»ÌŸƒÊ˝* MˆÃÒ˝O BΔä ˇ . Á ‹ $ΔÛ ˇ ã Ÿ 30. {Á≥Á≥Ö^˲ÖÃZ –˛$$ßÊ˛sÏ˝›Î« M¯œ∞ÖVä¸ º) ΔˇOgZºƒÊ˝$Ö Ô‹∞ƒÊ˝$Δäˇ ∏Î≈MʸŒt ßë”Δ> ¥Î’√Ø˲ –Û˛$MʸØ˲$ Á≥#sÏ˝tÖ_Ø˲ ßÛ˛‘Ë˝Ö? Ì‹) AVÊ¸Δ¯ ªÍ≈MÓ¸t«ƒÊ˝$Ö G) fΔÊˇ√± º) A–˛$«M> yÏ˛) Á‹*y¯–˛*ØÈã‹ Ì‹) CÖVʸœÖyä˛ yÏ˛) øÍΔÊˇô¨˛ 18. ›ÎMä¸, ›ÎºØ¨˛ AØÛ˛ ‘È{Á‹¢–Û˛ô˲¢À$ MʸØ˲$VˆØ˲≤ 31. "—$ÁŸØ¨˛ CÖ{ßÊ˛´ßÊ˛Ø˲$ãŸ' ßë”Δ> H –È≈´ßÊ˛$À –È≈Mϸfiب˛ H®? ∞–ÈΔÊˇ◊˝Mʸ$ –È≈Mϸfiب˛ C›Î¢ΔÊˇ$? G) BCG º) ¥˘ÕƒÒ˝* Ì‹) MʸÀΔ> yÏ˛) M¯«Öô˲ ßÊ˛Vʸ$Y G) yÏ˛Ôú¢«ƒÊ˝*, M¯«Öô˲ ßÊ˛Vʸ$Y, ´ßÊ˛Ø˲$Δ>”ô˲Ö, ÑʸƒÊ˝$, 19. i–ö˛MÓ¸rMʸ ØÈ’∞V> EÁ≥ƒÒ˝*VʸÁ≥yÛ˛ ªÍ≈MÓ¸t«ƒÊ˝*? ¥˘ÕƒÒ˝* G) ΔˇOgZºƒÊ˝$Ö º) ªÍÌ‹Àœã‹ ô˲$«ÖgÒ˝∞Ì‹ã‹ º) yÏ˛Ôú¢«ƒÊ˝*, M¯«Öô˲ßÊ˛Vʸ$Y, ´ßÊ˛Ø˲$Δ>”ôË˛Ö Ì‹) Á‹*y¯–˛*ØÈã‹ yÏ˛) C.MˆÃÒ˝O Ì‹) yÏ˛Ôú¢«ƒÊ˝*, M¯«Öô˲ ßÊ˛Vʸ$Y, ´ßÊ˛Ø˲$Δ>”ô˲Ö, ÑʸƒÊ˝$, ¥˘ÕƒÒ˝*, yÊ˛ƒÙ˝$«ƒÊ˝*, –ö˛$ÃÙ˝«ƒÊ˝* yÏ˛) yÏ˛Ôú¢«ƒÊ˝*, M¯«Öô˲ ßÊ˛Vʸ$Y, ´ßÊ˛Ø˲$Δ>”ô˲Ö, ÑʸƒÊ˝$, ¥˘ÕƒÒ˝*, Úfl˝Á≥sÒ˝OsÏ˝ã‹&º, “$hÃå˝fi 20. ¥Î‘Ë˝aΔˇOgÙ˝ÁŸØ¨˛Ø˲$ MʸØ˲$VˆØ˲≤ ‘È{Á‹¢–Û˛ô˲¢ G–ö˛ΔÊˇ$? 32. fØ˲$≈ CÖf±«ÖVä¸ Á≥ßÊ˛ÆÜ ßë”Δ> Úfl˝Á≥sÒ˝OsÏ˝ G) À*Δˇ$$ã‹ ¥Î‘Ë˝aΔäˇ º) GyÊ˛”Δäˇz gÒ˝Ø˲≤Δäˇ ã‹&º –È≈Mϸfiب˛Ø˲$ H i—ÃZ Eô˲µÜ¢ ^Û˛Á‹$¢ØÈ≤ΔÊˇ$? Ì‹) AÃÒ˝V>jÖyÊ˛Δäˇ Úúœ—$ÖVä¸ yÏ˛) M¯^¨˛ G) ªÍ≈MÓ¸t«ƒÊ˝* º) –˛OΔÊˇã‹ Ì‹) Dã‹t yÏ˛) ‘˝O–ö˛ÀÖ 21. ΔˇsÏ˝ØÈÃå˝ ÃZ¥Î∞≤ ∞–È«Ö^Û˛ fØ˲$≈ –ö˛*«µyÏ˛ 33. KΔÊˇÃå˝ ¥˘ÕƒÒ˝* –È≈Mϸfiب˛Ø˲$ G–ö˛ΔÊˇ$ MʸØ˲$VˆØÈ≤ΔÊˇ$? –˛$$MʸP? G) ›ÎMä¸ º) ›ÎºØ¨˛ Ì‹) À*Δˇ$*ã‹ ¥Î‘Ë˝aΔäˇ yÏ˛) gÒ˝Ø˲≤Δäˇ G) ΩsÓ˝ Á≥Ü¢ º) ΩsÓ˝ –ö˛ÖM>ƒÊ˝$ 34. –È≈Mϸfiب˛Ø˲$ –˛$$rt–˛$$ßÊ˛r G–ö˛ΔÊˇ$ MʸØ˲$VˆØÈ≤ΔÊˇ$? Ì‹) V¯ÃÒ˝zب˛ ΔˇOã‹ yÏ˛) Ú≥O–ö˛±≤ G) GyÊ˛”Δäˇz gÒ˝Ø˲≤Δäˇ º) Úúœ—$ÖVä¸ 22. H Á‹*Ñʸ√i— Ø˲$Ö_ CØ˲$fiÕب˛ ‡Δ¯√ب˛Ø˲$ Ì‹) Δ>∫Δäˇz M¯^¨˛ yÏ˛) M>ãú ¥Î«{‘È—$MʸÖV> Eô˲µÜ¢ ^Û˛Á‹$¢ØÈ≤ΔÊˇ$? 35. "ªÙ˝MʸΔäˇfi Dã‹t' A∞ ßÛ˛∞≤ Ì≥À$›Î¢ΔÊˇ$? G) C‘Ë˝a»ÌŸƒÊ˝* MˆÃÒ˝O º) —$£Ê˛Ø¯ M¯Mʸ㋠G) ‘Ë˝RÍΔ¯–˛$Őب˛ º) AV>«Mʸ㋠̋) Á‹*y¯ –˛*ØÈã‹ yÏ˛) {ªÙ˝— ªÍ≈MÓ¸t«ƒÊ˝* Ì‹) {ªÙ˝— ªÍ≈MÓ¸t«ƒÊ˝$Ö yÏ˛) Ú≥O–ö˛±≤ 23. fØ˲$≈ CÖf±«ÖVä¸ Á≥ßÊ˛ÆÜ ßë”Δ> Úfl˝Á≥sÒ˝O 36. "Áfl˝ì≈—$Õب˛' AÖsÙ˝? sÏ˝ã‹&º –È≈Mϸfiب˛Ø˲$ ô˲ƒÊ˝*ΔÊˇ$ ^Û˛Ì‹Ø˲ Á‹ÖÁ‹¶? G) fØ˲$≈ CÖf±«ÖVä¸ ßë”Δ> Eô˲µÜ¢ ^Û˛Ì‹Ø˲ CØ˲$fiÕب˛ G) ‘ÈÖôÈ ∫ƒÒ˝*sÒ˝Mä¸ º) øÍΔÊˇô¨˛ ∫ƒÒ˝*sÒ˝Mä¸ º) fØ˲$≈ CÖf±«ÖVä¸ ßë”Δ> Eô˲µÜ¢ AΔˇ$$Ø˲ ^˲M¸PΔÊˇ Ì‹) ∫ƒÒ˝*M>ب˛ yÏ˛) ΔˇyÓ˛zã‹ ÃÍ≈ªå˝ Ì‹) fØ˲$≈ –ö˛*«µyÏ˛ –˛$$MʸP 24. øÍΔÊˇô¨˛ÃZ –˛$$rt–˛$$ßÊ˛sÏ˝ Δ¯sÍ –˛OΔÊˇã‹ –È≈Mϸfiب˛Ø˲$ yÏ˛) M>≈Ø˲fiΔäˇ ∞Δ¯´ßÊ˛Mʸ –ö˛$ÖßÊ˛$ ô˲ƒÊ˝*ΔÊˇ$ ^Û˛Ì‹Ø˲ Á‹ÖÁ‹¶? G) ‘ÈÖôÈ ∫ƒÒ˝*sÒ˝Mä¸ º) øÍΔÊˇô¨˛ ∫ƒÒ˝*sÒ˝Mä¸ 37. øÍΔÊˇô˲ßÛ˛‘Ë˝ÖÃZ Áfl˝«ô˲ —Á≥œ–ö˛ Ì≥ôÈ–ö˛$Áfl˝ìyÊ˛$? G) Mʸ$«ƒÊ˝$ب˛ º) ØÈΔÊˇ√ب˛ ªZΔ>œVä¸ Ì‹) {Á≥ÜÁŸx ∫ƒÒ˝*sÒ˝Mä¸ yÏ˛) ∫ƒÒ˝*M>ب˛ Ì‹) ›Î”—$ØÈ£Ê˛Ø¨˛ yÏ˛) fVʸ©ãŸ ^˲Ö{ßÊ˛ªZã‹ 25. fØ˲$≈ CÖf±«ÖVä¸ {Á≥{MϸƒÊ˝$ÃZ DNAØ˲$ Mʸܢ«Ö ^˲yë∞Mϸ EÁ≥ƒÒ˝*WÖ^Û˛ GÖgÒ˝O–ö˛$$ÀØ˲$ 38. ¥Î«{‘È—$MʸÖV> kØ˲$≤Ø˲$ Eô˲µÜ¢ ^Û˛ƒÊ˝$yë∞Mϸ H GÖgÒ˝O–í˛$Ø˲$ EÁ≥ƒÒ˝*W›Î¢ΔÊˇ$? H–ö˛$ÖsÍΔÊˇ$? G) ÃÒ˝Oı≥gå˝ º) Δˇ∞ب˛ Ì‹) ΔˇØ˛≤så˝ yÏ˛) Ú‹À$≈ÃÙ˝gå˝ G) ÃÒ˝OVÛ¸gå˝ º) ¥ÎÕ–ö˛$ΔÛˇgå˝ 39. "{¥˜ ∫ƒÒ˝*sÏ˝Mä¸fi' AÖsÙ˝? Ì‹) A◊˝$ Mʸô˛¢ΔÊˇÀ$ yÏ˛) V¸OΔÛˇgå˝ G) ‡∞MʸΔÊˇ ªÍ≈MÓ¸t«ƒÊ˝* º) –ö˛$Ö_ ªÍ≈MÓ¸t«ƒÊ˝* 26. øÍΔÊˇô¨˛ÃZ –˛$$rt–˛$$ßÊ˛sÏ˝ fØ˲$≈–ö˛*«µyÏ˛ Á≥Ör? Ì‹) ªÍ≈MÓ¸t«ƒÊ˝*Ø˲$ ^˲Öı≥— G) ΩsÓ˝ –ö˛ÖM>ƒÊ˝$ º) ΩsÓ˝ ¥˜V>Mʸ$ yÏ˛) fØ˲$≈–ö˛*«µyÏ˛ i–ö˛#À$ Ì‹) ΩsÓ˝ r–ö˛*r yÏ˛) ΩsÓ˝ Á≥Ü¢ 27. M¯œ∞ÖVä¸ Á≥ßÊ˛ÆÜ ßë”Δ> Á≥#sÏ˝tØ˲ –˛$$ßÊ˛sÏ˝ ÑÓ¸ΔÊˇßÊ˛Ö? 40. Mϸ֮ H B‡ΔÊˇÖÃZ {¥˜ ∫ƒÒ˝*sÏ˝Mä¸fi GMʸ$P–ö˛V> EÖsÍΔˇ$$?

G) Ú≥ΔÊˇ$Vʸ$ º) kØ˲$≤ Ì‹) ƒÒ˝*V>Δäˇt yÏ˛) Ú≥O–ö˛±≤ 41. –˛$$MʸPÀØ˲$ Á≥»Ñʸ ØÈ„MʸÃZœ Ú≥Ö^Û˛ Á≥ßÊ˛ÆÜ∞ H–ö˛$ÖsÍΔÊˇ$? G) ı≥ÕØÈÀi º) y˛Ö{yëÀi Ì‹) JÃÙ˝» MʸÀaΔäˇ yÏ˛) sÏ˝ÁŸ*≈ MʸÀaΔäˇ 42. ı≥yÊ˛ Ø˲$Ö_ Mϸ◊˝”Ø˲ {Á≥{MϸƒÊ˝$ ßë”Δ> —$£Û˛Ø¨˛ –ÈƒÊ˝$$–ö˛#Ø˲$ Eô˲µÜ¢ ^Û˛ı‹®? G) —$£Ê˛Ø¯ M¯Mʸ㋠º) ΔˇOgZºƒÊ˝$Ö Ì‹) M>œ{Ô‹tyÏ˛ƒÊ˝$Ö yÏ˛) C.MˆÃÒ˝O 43. {Ú‹t¥˘t–˛$Őب˛Ø˲$ MʸØ˲$VˆØ˲≤ ‘È{Á‹¢–Û˛ô˲¢? G) AÃÒ˝V>jÖyÊ˛Δäˇ Úúœ—$ÖVä¸ º) –ÈMä¸fi–ö˛$ب˛ Ì‹) GyÊ˛”Δäˇz gÒ˝Ø˲≤Δäˇ yÏ˛) Á‹$ªÍæΔ>–ö˛# 44. Δ¯sÍ –˛OΔÊˇã‹ –È≈Mϸfiب˛ H –È≈´®∞ ∞–È«Á‹$¢Ö®? G) Vʸ–ö˛ßÊ˛ º‚Ê˝œÀ$ º) –ö˛$ÃÙ˝«ƒÊ˝* Ì‹) yÊ˛ƒÙ˝$«ƒÊ˝* yÏ˛) sÒ˝O∏ÎΔˇ$$yä˛ 45. Mϸ֮ H –ö˛ÖrMÊ¸Ö ô˲ƒÊ˝*»ÃZ Mϸ◊˝”ØË˛Ö fΔÊˇ$Vʸ$ô˲$Ö®? G) Á≥N« º) ߯‘Ë˝ Ì‹) Á≥#ÕÁflZΔÊˇ yÏ˛) Ú≥O–ö˛±≤ 46. À*Δˇ$*ã‹ ¥Î‘Ë˝aΔäˇMʸ$ Mϸ֮ –ÈsÏ˝ÃZ ßÛ˛∞ô¯ Á‹Ö∫Ö´ßÊ˛Ö EÖ®? G) Mϸ◊˝”ØË˛Ö º) ¥Î‘Ë˝aΔˇOgÙ˝ÁŸØ¨˛ Ì‹) ΔÛˇΩã‹ –È≈Mϸfiب˛ yÏ˛) Ú≥O–ö˛±≤ 47. Mϸ֮ –ÈsÏ˝ÃZ fØ˲$≈ CÖf±«ÖVä¸ Á≥ßÊ˛ÆÜ ßë”Δ> –È≈MϸfiØ˲œØ˲$ Eô˲µÜ¢ ^Û˛ı‹ Á‹ÖÁ‹¶? G) ∫ƒÒ˝*M>ب˛ º) øÍΔÊˇô¨˛ ∫ƒÒ˝*sÒ˝Mä¸ Ì‹) ‘ÈÖôÈ ∫ƒÒ˝*sÒ˝Mä¸ yÏ˛) Ú≥O–ö˛±≤ 48. –ö˛$Ìfl˝M¯ Á‹ÖÁ‹¶Mʸ$ Mϸ֮ –ÈsÏ˝ÃZ ßÛ˛∞ô¯ Á‹Ö∫Ö´ßÊ˛Ö EÖ®? G) –È≈MϸfiØ˲œ ô˲ƒÊ˝*» º) BÀP‡Ãå˝ ô˲ƒÊ˝*» Ì‹) fØ˲$≈Á≥«–ö˛ΔÊˇ¢Ø˲ —ô˲¢ØÈÀ ô˲ƒÊ˝*» yÏ˛) Ú≥O–ö˛±≤ 49. gÒ˝O–ö˛*Àh AÖsÙ˝? G) Mϸ◊˝”ØË˛Ö Vʸ$«Ö_Ø˲ A´ßÊ˛≈ƒÊ˝$ØË˛Ö º) ‡Δ¯√Ø˲œ A´ßÊ˛≈ƒÊ˝$ØË˛Ö Ì‹) –È≈MϸfiØ˲œ ô˲ƒÊ˝*» yÏ˛) —ô˲¢ØÈÀ A´ßÊ˛≈ƒÊ˝$ØË˛Ö 50. ΩsÓ˝ Á≥Ü¢ —ô˲¢ØÈÀÚ≥O ı≥sÒ˝Öså˝ Áfl˝Mʸ$PÀØ˲$ MʸÕW EØ˲≤ MʸÖÚ≥±? G) CŒœ&ÕŒœ º) –˛*ب˛‘ÈÖsZ Ì‹) ∫ƒÒ˝*M>ب˛ yÏ˛) –ö˛$Ìfl˝M¯

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Á≥N«¢^Û˛Ì‹ EÖyëÕ. 2015 lب˛ 30 ØÈsÏ˝Mϸ Hyë® –ö˛≈–ö˛´®VʸÀ ΔˆsZr» CÖrΔäˇ≤ÌŸã≥ Á≥N«¢^Û˛Ì‹ EÖyëÕ. —ßÛ˛÷ —ßë≈ΔÊˇ$¶À$ GãúGÖh GV>j–í˛$/ CÖrΔäˇ≤ÌŸã≥ Á≥N«¢^Û˛Ì‹ EÖyëÕ. …Ï˛Œœ –˛$yÏ˛MʸÃå˝ M˙Ø˛fiÃå˝ Vʸ$«¢ÖÁ≥# ¥˜Ö® EÖyëÕ –ö˛ƒÊ˝$Á‹$: 33 H‚Ê˝ìœ —$Ö^˲Δ>ßÊ˛$ CÖrΔÊˇ*”≈À$: Ú‹Ú≥tÖ∫ΔÊˇ$ 18, 25 –Û˛®Mʸ: Office of the Medical Director, DDU

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–ö˛ƒÊ˝$Á‹$: 30 H‚Ê˝ìœ —$Ö^˲Δ>ßÊ˛$ –Û˛ô˲Ø˲Ö: Ø˛ÀMʸ$ ΔÊˇ*.30,000 AøÊ˝≈ΔÊˇ$¶À$ ô˲–ö˛$ ßÊ˛ΔÊˇRÍÁ‹$¢Ø˲$ Mϸ֮ _ΔÊˇ$ØÈ–ö˛*Mʸ$ Á≥ÖÁ≥#M¯–ÈÕ. ßÊ˛ΔÊˇRÍÁ‹$¢ ^Û˛ΔÛˇÖßÊ˛$Mʸ$ BQΔÊˇ$ ôÛ˛©: Ú‹Ú≥tÖ∫ΔÊˇ$ 28 _ΔÊˇ$ØÈ–ö˛*: The Under Secretary(Estt), Natio nal Human Rights Commission, Manavadhikar Bhawan, C Block, GPO Complex, New Delhi110023 –˛ªå˝Ú‹Oså˝: http://nhrc.nic.in/Documents/Lawgraduates

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E…r$…¨. 糧ø {ç³Ô¶æ²ÌZ Æð‡…yýl$ ¿o†MýS Ô>{Ý뢰MìS, 11Ð]l {ç³Ô¶æ²ÌZ Æð‡…yýl$ Æý‡ÝëĶæ$¯]l Ô>{Ý뢰MìS çÜ…º…«¨…_¯]l {ç³Ô¶æ²Ë$ E…sêƇ¬. 12Ð]l {ç³Ô¶æ²ÌZ JMýSsìæ ¿o†MýS, Æð‡…yø¨ Æý‡ÝëĶæ$¯]l Ô>{Ý뢰MìS çÜ…º…«¨…_…¨. 13Ð]l {ç³Ô¶æ²ÌZ JMýSsìæ ¿o†MýS Ô>{Ý뢰MìS, Ð]l$ÆöMýSsìæ Æý‡ÝëĶæ$¯]l Ô>{Ý뢰MìS çÜ…º…«¨…_¯]l ç³sê˯]l$ XçÜ*¢ ÑÐ]lÇ…^ól {ç³Ô¶æ²Ë$ CÝë¢Æý‡$. D òÜMýSÛ¯ŒæÌZ 4 {ç³Ô¶æ²ËMýS$ JMöPMýSP {ç³Ô¶æ²MýS$ 4 Ð]l*Æý‡$PË ^öç³#µ¯]l 16 Ð]l*Æý‡$PË$ MóSsêƇ¬Ýë¢Æý‡$. 4×4= 16.

´ëÆŠæt &¼, ¼sŒæ õ³³ç ÆŠæÌZ 14 ¯]l$…_ 33 Ð]lÆý‡MýS$ 20 {ç³Ô¶æ²Ë$ ºçßæ$Oâñæ_eMýS Æý‡*ç³…ÌZ E…sêƇ¬. ÒsìæÌZ GMýS$PÐ]l ¿êVýS… ѧéÅ{ç³Ð]l*×æ… JMýSsìæMìS çÜ…º…«¨…_¯]lÑ. D òÜMýSÛ¯ŒæÌZ° 20 {ç³Ô¶æ²ËMýS$ {糆§é°MìS ½ Ð]l*Æý‡$P ^öç³#µ¯]l 10 Ð]l*Æý‡$PË$ MóSsêƇ¬Ýë¢Æý‡$. 20×½= 10. Ð]lÊÌêÅ…MýS¯]l…&IMìS EçÙ~…,

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¿êÆý‡™Œl çÜ…^éÆŠ‡ °VýSÐŒl$ ÍÑ$sñæyŠl (½G‹ÜG¯ŒlGÌŒæ).. §ólÔ¶æÐéÅç³¢…V> E¯]l² ™èl¯]l M>Æ>ÅËĶæ*ÌZÏ° 996 þ°Ä¶æ$ÆŠ‡ AMú…sŒæÞ BïœçÜÆŠ‡ (gôæHÐø) RêäË ¿¶æÈ¢MìS §ýlÆý‡RêçÜ$¢Ë$ BàÓ°Ýù¢…¨. G…M>ÐŒl$/ïÜH/IïÜyýlº*ÏÅH/ïÜG‹Ü E¡¢Æý‡$~OÌñæ, f¯]lÐ]lÇ 1, 2017 ¯ésìæMìS 20&30 Hâ¶æÏ ÌZç³# Ð]lĶæ$çÜ$ E¯]l² A¿¶æÅÆý‡$¦Ë$ AÆý‡$áË$. §ýlÆý‡RêçÜ$¢Ë$ D ¯ðlË 11 ¯]l$…_ {´ëÆý‡…¿¶æÐ]l$Ð]l#™éƇ¬. §ýlÆý‡RêçÜ$¢ËMýS$ _Ð]lÇ ™ól© AMøtºÆŠ‡ 15, 2017. ç³NÇ¢ ÑÐ]lÆ>ËMýS$ Ððl»ŒæOòÜsŒæ: www.bsnl.co.in, www.externalexam.bsnl.co.in

f¯]lÆý‡ÌŒæ çÜtyîl‹Ü: íœhMŠæÞ ● 糧ø ™èlÆý‡VýS†: íœhMýSÌŒæ OòܯŒæÞ ● »êÅ…MŠæ ï³Ðø‹Ü, MýSÏÆŠæPÞ: M>Ó…sìæsôæsìæÐŒæ Bí³tr*ÅyŠæ ●

Ô¶æ°ÐéÆý‡… 9-9-2017

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Ò$ çÜË-àË$, çÜ…§ól-àË$ ç³…´ë-ÍÞ¯]l D&Ððl$Ƈ¬ÌŒ sakshieducation@gmail.com

BRICS fights against Terrorism ❘ ❚Ex

Home Secretary R.K. Singh has been given the charge of Power and New and Renewable Ministry. ❘ ❚Former IAS officer Alphons Kannanthanam - Tourism Minister and Minister of State for Electronics and Information Technology. ❘ ❚Former Mumbai Police chief Satyapal Singh - Minister of State for Human Resource Development and the Minister of State for Water Resources. ❘ ❚Lok Sabha MP from Rajasthan Gajendra Singh Shekhawat Minister of State in the Ministry of Agriculture and Farmers Welfare. ❘ ❚Rajya Sabha MP from Uttar Pradesh Shiv Pratap Shukla Minister of State for Finance. ❘ ❚Lok Sabha MP from Madhya Pradesh Virendra Kumar is made Minister of State for Women and Child Development and Minister of State in Minority Affairs. ❘ ❚Lok Sabha MP from Karnataka Anant Kumar Hegde is new Minister of State for Skill Development and Entrepreneurship. ❘ ❚LokSabha MP from Bihar Ashwini Kumar Choubey has been made Minister of State for Health and Family Welfare.

INTERNATIONAL ■

BRICS fights against Terrorism Brazil, Russia, India, China, South Africa (BRICS) have decided to fight against terrorism. In its declaration BRICS has condemned terrorism in all its forms and manifestations and stressed that there can be no justification whatsoever for any act of terrorism. The 9th BRICS summit was held in Xiamen, from 3rd to 5th September. The theme of this summit was "BRICS: Stronger Partnership for a Brighter Future". BRICS leaders have signed four documents during the summit on Action Agenda on Economic and Trade Cooperation, Innovation, Customs Cooperation and MOU with Development Bank on Strategic Cooperation.

NATIONAL ■

Cabinet Reshuffled Prime Minister Narendra Modi reshuffled Cabinet. Four ministers were elevated to the rank of Cabinet. Nine new Ministers were inducted into the Cabinet. Ministers who were promoted are.. ❘ ❚Nirmala Sitharaman- Defence Minister. ❘ ❚Piyush Goyal - Railway Minister. ❘ ❚Dharmendra Pradhan- additional charge of Skill Development and Entrepreneurship (Petroleum and Natural Gas). ❘ ❚Mukhtar Abbas Naqvi - Minority Affairs.

Changes in Cabinet Prabhu is now Commerce and Industry Minister. ❘ ❚Nitin Gadkari has been given additional charge of Water Resources.

New Faces in Cabinet

India's first World Heritage City with UNESCO Director General Irina Bokova handing over the certificate in this regard to Chief Minister of Gujarat Vijay Rupani.The honour makes the walled city of Ahmedabad the first city in India, and the third in Asia, to be on the list. India now has a total of 36 World Heritage Inscriptions- 28 cultural, 7 natural and 1 mixed site.

❘ ❚Former

diplomat Hardeep Singh Puri will be the new Housing and Urban Affairs Minister.

India and Swiss agreement on Railways India and Switzerland have signed two Memorandum of Understandings (MoUs) for exchanging technical cooperation in the field of Railways. The first MoU is between Ministry of Railways and Federal Department of the Environment, Transport and Communications of the Swiss Confederation for technical cooperation in Railway Sector. The second MoU is between Konkan Railway Corporation Limited (KRCL) and Swiss Federal Institute of Technology (ETH) Zurich.

President lays foundation for SAUNI Yojana in Gujarat

Ahmedabad gets India's first World Heritage City certificate

September, both countries have entered an agreement on 11 issues, in a range of sectors, including one on maritime security cooperation, for sharing white shipping information to improve data sharing on nonclassified merchant navy ships or cargo ships, between the Election Commission of India and Union Election of Myanmar, the national level electoral commission of Myanmar. An MoU was also signed to organise cultural exchange programme for the period 2017-2020, according to a statement issued by Ministry of External Affairs.

BILATERAL

Indian President Ramnath Kovind on 4th September laid foundation stone for Link-4 of Saurashtra Narmada Irrigation SchemeSAUNI Yojana at Jasdan in Rajkot district of Gujarat. The Scheme aimed to fill up about 115 dams by the overflowing waters of Sardar Sarovar Dam on Narmada River. The entire project will benefit more than 2 lakh acres of farm land and more than 900 villages of 7 districts of Saurashtra.

❘ ❚Suresh

strategy envisages a framework wherein the four proximate determinants of nutrition - uptake of health services, food, drinking water & sanitation and income & livelihoods - work together to accelerate decline of under nutrition in India. Currently, there is also a lack of real time measurement of these determinants, which reduces our capacity for targeted action among the most vulnerable mothers and children.

Ahmedabad on 1st September was formally accorded the status of

11 MoUs between India and Myanmar Indian Prime Minister Narendra Modi visited Myanmar on 6th

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MýS×æ…ÌZ ÐéĶæ¬çÜíßæ™èl Ô>ÓçÜ{MìSĶæ$¯]l$ °Æý‡Óíßæ…^ól MýS×ê…VýS…? & OÐðl$sZM>…{yìlĶæ* Ô>ÈÆý‡MýS Ë„ýS×ê˯]l$ A«©¯]l…ÌZ E…^èl$MýS$¯ól {MøÐðl*gZÐŒl$Þ? & BsZgZÐŒl$Þ OÐðl$sZM>…{yìlĶæ*ÌZ° ÌZç³Í ™èlÓ^èl Ð]l¬yýl$™èl˯]l$ HÐ]l$…sêÆý‡$? & {MìSõÜt iÐ]lMýS×êÌZÏ° OÐðl$sZM>…{yìlĶæ* E°MìS° VýS$Ç¢…^ól AÀÆý‡…fMýS…? & gê¯]l‹Ü {X¯Œæ&¼ MýS×æMöÍÑ$ (Ìôæ§é) MýS×æÔ¶æM>¢ÅV>Æý‡… A° §ól°² í³Ë$Ýë¢Æý‡$? & OÐðl$sZM>…{yìlĶæ* "òÜË$ÅÌêÆŠæ MýSÆð‡±Þ' A° §ól°² í³Ë$Ýë¢Æý‡$? & Hsîæï³Ë¯]l$ Ððl¬MýSP ¿êV>ËMýS$ BMýSÆý‡Û×æ˯]l$ MýSÍW…^ól ´ëÏíÜtyýlϯ]l$ HÐ]l$…sêÆý‡$? & {MøÐðl*´ëÏ‹ÜtË$ (Ð]lÆý‡~Æó‡×æ$Ð]l#Ë$) M>ÅÆð‡sŒæ ÐólÆý‡Ï Æý‡…VýS$MýS$ M>Æý‡×æ…? & {MøÐðl*´ëÏ‹ÜtË$

➦ ➦

çßæÇ™èl Æó‡×æ$Ð]l# Ñ«¨? & ³í …yìl ³ç §éÆ>¦Ë Üç …ÔóæçÙÏ ×æ MýS×æ…ÌZ° ´ë„ìSMýS çÜÓĶæ$…{糆糆¢ VýSË MýS×ê…V>Ë$? & ´ëÏíÜtyŠæË$, OÐðl$sZM>…{yìlĶæ*Ë$ ÇMìS¢MýS¯]l$ BÐ]lÇ…_ E…yól ™èlÓ^èl…? & sZ¯ø´ëÏ‹Üt MýS×æ ¿ê…yéV>Æ>Ë$ (ÝùtÆŠæ çßogŒæ B‹œ ¨l òÜÌŒæ) A° Ðólsìæ° A…sêÆý‡$? & ÇMìS¢MýSË$ Ð]l–„ýSMýS×æ…ÌZ° ò³Æ>MîSÞÝùÐŒl$Ë ´ë{™èl HÑ$sìæ? & M>…† Ô>ÓçÜ{MìSĶæ$ °Æý‡Óçßæ×æ ç³…yìl¯]l çœÌêË MýS×æMýSÐ]l^éÌZÏ A«¨MýS…V> E…yól 糧éÆý‡¦…? & ò³MìSt¯Œæ ´ëÆ> Æý‡º¾ÆŠæ H Ððl¬MýSP ÌôæsñæMŠæÞ ¯]l$…_ ËÀçÜ$¢…¨? & ïßæÑĶæ* {»ñæhÌñæ°Þ‹Ü C…yìlĶæ$¯Œæ Æý‡º¾ÆŠæ H Ððl¬MýSP ÌôæsñæMŠæÞ ¯]l$…_l ËÀçÜ$¢…¨? & OòœMýS‹Ü CÌêíÜtM> MýS×æ °Æ>Ã×æ… Ìôæ° iÐ]l#Ë$? & OÐðlÆý‡‹ÜË$ ¸ë§ýlÆŠæ B‹œ OòÜsêËi A° GÐ]lDz A…sêÆý‡$? & Æ>ºÆŠæt çßæ$MŠæ OÐðl${Mø{V>íœÄ¶æ* {VýS…£ýlMýSÆý‡¢? & Æ>ºÆŠæt çßæ$MŠæ "{MøÐðl*gZÐŒl$Þ' A¯ól õ³Æý‡$ò³sìæt¯]l Ô>{çÜ¢Ðól™èl¢? & ÐéÌôæzĶæ$ÆŠæ {MìSĶæ*ÖË f¯]l$ÅÐ]l#˯]l$ MýSÍW¯]l {MöÐ]l*sìæ¯Œæ ¿êV>°² HÐ]l$…sêÆý‡$? & ĶæÊ{MöÐ]l*sì毌æ {MìSĶæ*ÖË f¯]l$ÅÐ]l#Ë$ Ìôæ° {MöÐ]l*sìæ¯Œæ ¿êV>°² HÐ]l$…sêÆý‡$? & òßæsìæÆø {MöÐ]l*sì毌æ A† ™èlMýS$PÐ]l çÜ…QÅÌZ {MøÐðl*gZÐŒl$Þ¯]l$ MýSÍW¯]l Ððl¬MýSPË$? & çßæ´ùÏ´ë糋Ü, {»êTMøÐŒl$

yé‘‘ yìl. çÜÐ]l$ÃĶæ$Å AíÜòÜt…sŒæ {´÷òœçÜÆŠ‡, {糿¶æ$™èlÓ yìl{X MýSâêÔ>Ë, çßæ$þÆ>»ê§Šl

India wins ODI and T-20 Series

India has won 5-0 ODI series against Sri Lanka and also India won the only one Twenty-20 match against host country. Earlier, India had won test series 3-0 against Sri Lanka. Dhoni record: Former India captain Mahendra Singh Dhoni on 3rd September became the first wicketkeeper in world cricket to effect 100 stumpings in One Day Internationals. Dhoni achieved the feat in his 301st ODI in Colombo on 3rd September when he whipped off the bails to remove Sri Lankan batsman Akila Dananjaya in off legspinner Yuzvendra Chahal's bowling.

Germany Unveils World's Most Powerful X-Ray Laser The world's most powerful X-ray laser called the European X-ray Free Electron Laser (XFEL) was officially inaugurated in Hamburg, northern city of Germany on 28th September. The 3.4 km-long European XFEL will act as a highspeed camera that can capture images of individual atoms in a few millionths of a billionth of a second. It will allow scientists to map atomic details of viruses, create films of chemical reactions, and study the processes deep within stars and planets.

ECONOMY Leader of the Green Revolution Dr. M.S Swaminathan and Dr. H Sudarshan, launched the National Nutrition Strategy, along with NITI Aayog Vice Chairman Dr. Rajiv Kumar and Member Dr. Vinod Paul on 6th September. The nutrition

constituted in September 2016 for the preparation of a comprehensive action plan, including short-term and medium to long-term measures for effective participation of Indian sportspersons in the next three Olympic Games to be held in 2020 (Tokyo), 2024 (Paris) and 2028 (Los Angeles).

SCIENCE & TECHNOLOGY

India and Japan Defence Agreement

National Nutrition Strategy launched

Current Affairs

NITI Aayog sets up task force on employment The Government has constituted a task force which will be headed by NITI Aayog Vice Chairman Rajiv Kumar to lay down the roadmap for employment generation through export promotion. The task force consisting of senior officials of a number of ministries and industry representatives will seek expansion of formal sector for creation of well paid jobs in the country.

India and Japan have agreed to collaborate in defence production, including on dual-use technologies. The two countries resolved to ramp up overall military engagement under the bilateral special strategic framework.

Competitive Guidance

SPORTS ■

Empowered steering committee constituted Ministry of Youth Affairs and Sports has approved the constitution of an Empowered Steering Committee (ESC) on the basis of the recommendations of the interim report of the Task Force. The Task Force was

Rajendra Sharma Current Affairs Faculty, Hyderabad.

M>…í³sîæsìæÐŒæ Mú¯ðlÞÍ…VŠæ ¿êÆý‡™èl BǦMýS Ð]lÅÐ]l-çܦ-&-çÜ-Ð]l$-çÜÅË$, çÜÐéâ¶æÏMýS$ çÜ…º…-«¨…-_¯]l A…Ô>-ËMýS$ GÌê íܧýl®-Ð]l$-ÐéÍ? & G….Æó‡×æ$MýS, Ð]lÆý‡…-VýSÌŒæ.

´ùsîæ-ç³-È-„ýS-ËMýS$ çÜ…º…-«¨…_ OòܯŒlÞ A…yŠl sñæM>²-Ëi ´ë{™èl, {糿êÐ]l… A…Ô>-ËMýS$ GÌê {í³õ³-Æý‡-ÐéÓÍ? & BÆŠæ.MìSÚùÆŠæ, Oòßæ§ýlÆ>»ê§Šæ.

¿êÆý‡™èl BǦMýS Ð]lÅÐ]l-çܦMýS$ çÜ…º…-«¨…_ gê¡Ä¶æ$ B§éĶæ$ °Æý‡Ó-^èl-¯éË$, ¿êÐ]l¯]lË$ MîSË-MýS-OÐðl$¯]l A…Ô>Ë$. gê¡Ä¶æ$ E™èlµ†¢, §ólÖĶæ$ E™èlµ†¢ ¿êÐ]l-¯]lË$, çÜ*¦Ë E™èlµ†¢, °MýSÆý‡ E™èlµ†¢ ¿êÐ]l-¯]l-˯]l$ çÜÒ$-MýS-Æý‡-×ê-Ë™ø çÜà AÐ]l-V>-çßæ¯]l ^ólçÜ$Mø-ÐéÍ. ■ gê¡Ä¶æ$ B§é-Ķæ$…™ø ´ër$ Ð]l–¨®& AÀ-Ð]l–¨® ¿êÐ]l-¯]l-˯]l$ MýS*yé A«§ýlÅĶæ$¯]l… ^ólĶæ*Í. ■ ¿êÆý‡-™èl-§ólÔ¶æ {ç³×ê-ã-MýSË$, Ë„>ÅË$, Ð]lNÅàË$, B {ç³×ê-ã-MýS-ËÌZ Ý뫨…-_¯]l Ñf-Ķæ*-˯]l$ A«§ýlÅ-Ķæ$¯]l… ^ólĶæ*Í. Ð]l¬QÅ…V> 12Ð]l ç³…^èl-Ð]lÆý‡Û {ç³×ê-ã-MýSÌZ °Æý‡~-Ƈ¬…-_¯]l Ë„>ÅË$, B Ë„>ÅË §éÓÆ> çÜÑ$Ã-ã-™èl-Ð]l–¨® GÌê Ý뫨…-^èl-Ð]l^èl$a? çÜÑ$Ã-ã™èl-Ð]l–¨® A…sôæ HÑ$sìæ? çÜÑ$Ã-ã™èl Ð]l–¨® §éÓÆ> BǦ-MýSÐ]l–¨® GÌê Ý뫨…-^èlÐ]l^èl$a A¯ól Mø×æ…ÌZ ÑÔóæÏ-íÙ…-^èl$-Mø-ÐéÍ. 2015, f¯]l-Ð]lÇ 1¯]l {´ëÆý‡…À…-_¯]l "±† BÄñæ*-VŠS' °Æ>Ã×æ…-&-Ë-„>ÅË$, Ñ«§ýl$Ë$ Ððl¬§ýl-OÌñæ¯]l A…Ô>˯]l$ ^èl§ýl-ÐéÍ. ■ ÑÑ«§ýl ç³…^èl-Ð]lÆý‡Û {ç³×ê-ã-MýSË M>ÌêÌZÏ {´ëÆý‡…-À…-_¯]l ç³£ýl-M>Ë$, Ðésìæ Ë„>Å˯]l$ MýS*yé A«§ýlÅ-Ķæ$¯]l… ^ólĶæ*Í. {ç³×ê-ã-MýS-ÌZÏ° çÜ…„óSÐ]l$ ç³£ýl-M>Ë$, õ³§ýlÇMýS, °Æý‡$-§øÅVýS °Æý‡*Ã-˯]l ç³£ýl-M>Ë VýS$Ç…_ ^èl§ýl-ÐéÍ. ■ õ³§ýl-ÇMýS…, °Æý‡$-§øÅVýS… A¯]l-V>-¯ólÑ$? Ðésìæ ¿êÐ]l-¯]lË$ HÑ$sìæ? õ³§ýl-ÇMýS…, °Æý‡$-§øÅ-W-™èl-ËMýS$ M>Æý‡-×êË$, °Ðé-Æý‡×æ ^èlÆý‡ÅË$. õ³§ýl-ÇMýS…, °Æý‡$-§øÅ-W-™èl-˯]l$ ™èlWY…-^ól…-§ýl$MýS$ {´ëÆý‡…-À…-_¯]l ç³£ýl-M>Ë$. ÒsìæÌZ çÜÓĶæ$… E´ë«¨ ç³£ýl-M>Ë$, Ðól™èl¯]l E´ë«¨ ç³£ýl-M>Ë VýS$Ç…_ A«§ýlÅĶæ$¯]l… ^ólĶæ*Í.

OòܯŒlÞ A…yŠl sñæM>²-Ëi A…Ô>Ë A«§ýlÅ-Ķæ$-¯]l…ÌZ ¿êVýS…V> §ólÔ¶æ…ÌZ {ç³çÜ$¢™èl… Ô>ç܈, Ýë…MóS-†MýS Æý‡…V>ÌZÏ ¯]lÐðl*-§ýl-Ð]l#-™èl$¯]l² AÀ-Ð]l–¨® M>Æý‡Å-{MýSÐ]l*-ËOò³ §ýl–íÙt-Ýë-Ç…-^éÍ. E§é-çßæ-Æý‡-×æMýS$ ™égê Eç³-{VýSçßæ {ç³Äñæ*-V>Ë$ & Ðésìæ §éÓÆ> MýSÍVóS çœÍ-™éË$ & AÑ ÝëÐ]l*-hMýS AÀ-Ð]l–-¨®MìS §øçßæ§ýl ç³yól ¡Æý‡$ Ð]l…sìæÑ. A§ól Ñ«§ýl…V> OòܯŒlÞ A…yŠl sñæM>²-Ëi Ñ¿ê-VýS…ÌZ ´ëÇ-{Ô>-Ñ$MýS AÀ-Ð]l–¨® A…Ô>-ËOò³ §ýl–íÙt-Ýë-Ç…-^éÍ. ● OòܯŒlÞ A…yŠl sñæM>²-Ëi Æý‡…VýS AÀ-Ð]l–¨® ¨Ô¶æV> {糿¶æ$™èlÓ… °Æý‡…-™èlÆý‡… ¡çÜ$-MýS$…-r$¯]l² ^èlÆý‡ÅË$, Ñ«§é-¯éÌZÏ AÐ]l-Ë…-¼-çÜ$¢¯]l² Ð]l*Æý‡$µ-ËOò³ AÐ]l-V>çßæ¯]l ò³…´÷…-¨…-^èl$-Mø-ÐéÍ. Ð]l¬QÅ…V> CsîæÐ]lË M>Ë…ÌZ ѧýlÅ, OÐðl§ýlÅ, ÝëÐ]l*-hMýS AÀ-Ð]l–¨®MìS G…™ø MîSË-MýS…V> Ð]l*Æý‡$-™èl$¯]l² C¯]l¹-Æó‡Ã-çÙ¯Œl A…yŠl MýSÐ]lÊÅ-°-MóS-çÙ¯Œl sñæM>²-Ëi Ñ«§é-¯]l…Oò³ çÜ…ç³NÆý‡~ AÐ]l-V>-çßæ¯]l AÐ]l-çÜÆý‡…. Òsìæ-™ø´ër$ C¯]l¹-Æó‡Ã-çÙ¯Œl sñæM>²-Ë-iÌZ {´ë£ýlÑ$MýS O¯ðlç³#-×êÅË$ A…¨…^ól MýS…ç³NÅrÆŠ‡ Ñ°-Äñæ*VýS… VýS$Ç…_ ™ðlË$-çÜ$-MøÐéÍ. A§ól Ñ«§ýl…V> Æø»Z-sìæMŠSÞ, ¯é¯ø sñæM>²-Ëi A…Ô>-Ë-Oò³¯é §ýl–íÙtÝë-Ç…-^éÍ. ● A¿¶æÅ-Æý‡$¦Ë$ §ýl–íÙt ÝëÇ…-^é-ÍÞ¯]l Ð]l$Æø Ð]l¬RêÅ…Ô¶æ….. ¿êÆý‡™èl A…™èl-Ç„ýS Ñ«§é¯]l…. D ¨Ô¶æV> ¿êÆý‡™Œl ^ólç³-yýl$-™èl$¯]l² Mö™èl¢ Eç³-{VýSçßæ {ç³Äñæ*-V>Ë$, Mö™èl¢ M>Æý‡Å-{MýS-Ð]l*Ë çÜÐ]l*-^é-Æ>°² ™ðlË$-çÜ$-Mø-ÐéÍ. ● A…™èl-Ç„ýS Ýë…MóS-†-MýS™èl B«§é-Æý‡…V> ÝëÐ]l*-hMýS AÀ-Ð]l–¨® ¨Ô¶æV> ^ólç³-yýl$-™èl$¯]l² ^èlÆý‡ÅË$ Ð]l¬QÅ…V> ѧýlÅ, Ð]lÅÐ]l-ÝëĶæ$…, ´ëÇ-{Ô>-Ñ$MýS AÀ-Ð]l–¨®, Ð]lÆý‡-§ýlË$, ™èl$´ë¯]l$Ï, çÜ$¯é-Ò$Ë$, Ðé™é-Ð]l-Æý‡×æ Ð]l*Æý‡$µ-ËMýS$ çÜ…º…-«¨…-_-¯]lÑ ™ðlË$-çÜ$-Mø-ÐéÍ. ● Ô¶æMìS¢ Ð]l¯]l-Æý‡$Ë A«§ýlÅ-Ķæ$-¯]l…ÌZ ¿êVýS…V> fË, A×æ$ Ô¶æMìS¢ Ð]l¯]l-Æý‡$Ë$ Ðésìæ Ñ°-Äñæ*VýS… ¨Ô¶æV> {糿¶æ$™èlÓ… ^ólç³-yýl$-™èl$¯]l² ^èlÆý‡ÅË VýS$Ç…_ ™ðlË$çÜ$-Mø-ÐéÍ. Ð]lÅÆ>¦Ë B«§é-Ç™èl C…«§ýl¯]l E™èlµ†¢; ÝûÆý‡, ç³Ð]l¯]l ѧýl$Å™Œl Æý‡…V>Ë$, Ðésìæ MøçÜ… HÆ>µr$ ^ólíܯ]l çÜ…çܦË$; A¯]l$-OÐðl¯]l {´ë…™éË VýS$Ç…_ çÜÐ]l*-^éÆý‡… ™ðlË$-çÜ$-Mø-ÐéÍ.


OÐðlG‹ÜBÆŠæ hÌêÏ l Ô¶æ°ÐéÆý‡… l òÜò³t…ºÆŠæ l 9 l 2017

14 ѧýlÅ

What will be the mother's age.. a) 5390 b) 5560 c) 5950 d) 6250 e) None of these 3. What is the overall percentage of candidates short listed over the total number of candidates eligible for post I from all the states together? a) 8% b) 7% c) 12% d) 15% e) None of these 4. What is the ratio of the number of candidates short listed for all the posts together from Goa state to that from Tamil Nadu state? a) 71:140 b) 71:145 c) 73:140 d) 71:130 e) None of these

N. Vinaykumar Reddy Director, IACE, Hyderabad.

Model Questions Directions (Q.No.1-5): Study the following table carefully to answer the questions that follow. Number of Candidates found Eligible and Number of Candidates Shortlisted for Mains Exam of a recent Recruitment Process for Six Posts from different states. Post

I

State

II

III

IV

V

VI

Eligible Short Eligible Short Eligible Short Eligible Short Eligible Short Eligible Short Listed Listed Listed Listed Listed Listed

Bihar

2800

68

7500

250 5200

85

4500

75

6200

120

4500

165

Jharkhand

3500

230

8500

450 8200

185

5600

52

4200

155

5500

145

Rajasthan

2500

320

5500

360 7200

180

3500

45

7200

140

6500

120

Punjab

3200

90

6400

200 2400

65

9400

60

8600

95

7500

110

Goa

2400

140

5200

260 3600

75

6800

75

9500

75

8500

85

Kerala

5200

350

6400

340 4500

240

5400

120

6600

65

9500

45

Tamil Nadu

6800

650

8000

180 6500

340

4800

160

5200

45

3500

25

1. From Jharkhand state, which post had the highest percentage of candidates short listed for mains exam? a) I b) III c) IV d) V e) None of these 2. What is the average number of candidates found eligible for Post III from all states?

5. What is the ratio of the total number of candidates short listed for post V to that for post VI from all states together? a) 1:2 b) 3:2 c) 3:5 d) 3:7 e) None of these Directions (Q.No. 6 - 10): What will come in place of question Number of candidates short listed for post I = (68 + 230 + 320 + 90 +140 + 350 + 650) = 1848

Key & Solutions 1. Percentage of candidates short listed for Post I =

230 ×100 =6.57% 3500

Percentage of candidates short listed for Post II =

450 ×100 =5.29% 8500

Percentage of candidates short 185 ×100 =2.25% 8200

listed for Post III =

Percentage of candidates short listed for Post IV =

52 ×100 =0.92% 5600

Percentage of candidates short listed for Post V =

155 ×100 =3.69% 4200

Percentage of candidates short listed for PostVI =

145 ×100 =2.63% 5500

So post I had the highest percentage of candidates short listed for mains exam. Ans: a 2. Req. Average = (5200 + 8200 + 7200 +2400 + 3600 + 4500 + 6500) / 7 =

37600 = 5371.42 ≈ 5370 7

Ans: e 3. Number of candidates eligible for post I = (2800 + 3500 + 2500 + 3200 + 2400 + 5200 + 6800) = 26400

Req. % =

1848 ×100 = 7% 26400 Ans: b

4. Number of candidates shortlisted from Goa state for all the posts = (140 + 260 + 75 + 75 + 75 + 85) = 710 Number of candidates shortlisted from Tamil Nadu state for all the posts = (650 + 180 + 340 + 160 + 45 + 25) = 1400 Req. ratio =

710 = 71:140 1400 Ans: a

5. Total candidates shortlisted post V = (120 + 155 + 140 + 95 + 75 + 65 + 45) = 695 Total candidates shortlisted post VI = (165 + 145 + 120 + 110 + 85 + 45 + 25) = 695 Req. ratio =

6.

695 = 1:1 695

Ans: e

+(7×1) +(7×2) +(7×4) +(7×8) +(7×16) 12

19

33

61

?

229

Required Number is = 61+(7×8) = 61 + 56 = 117 Ans: a 7. 18 ×1 − 10 = 8 8 × 2 − 10 = 6 6 × 3 − 10 = 8 8 × 4 − 10 = 22

d) 1065

IBPS

12.

RRB

Special

mark(?) in the given number series. 6. 12, 19, 33, 61, ?, 229 a) 117 b) 113 c) 107 d) 163 e) None of these 7. 18, 8, 6, 8, 22 ? a) 125 b) 100 c) 150 d) 145 e) None of these 8. 5, 12, 33, 136, 675, ? a) 3850 b) 3950 c) 3460 d) 4056 e) None of these 9. 20, 10, 12, 24, 75, ? a) 320.5 b) 325.5 c) 330.5 d) 335.5 e) None of these 10. 12, 19, 35, 59, 90, ? a) 126 b) 132 c) 146 d) 127 e) None of these Directions (Q.No. 11 - 15): What approximate value should come in place of the question-mark (?) in the following questions? (You are not expected to calculate the exact value) 11. 623898 × 99 = ? × 60000 a) 1000 b) 1030 c) 1050 22 × 5 − 10 = 100 Req. number is = 100 Ans: b 8. 5 × 2 + 2 = 12 12 × 3 − 3 = 33 33 × 4 + 4 = 136 136 × 5 − 5 = 675 675 × 6 + 6 = 4056 Req. number is = 4056 Ans: d 9. 20 × 0.5 − 0 = 10 10 × 1.5 − 3 = 12 12 × 2.5 − 6 = 24 24 × 3.5 − 9 = 75 75 × 4.5 − 12 = 325.5 Req. number is = 325.5 Ans: b 10. 12 19 35 59 90 127 16

24

9 8 7 Req. number is 127 11. ? =

31

37 6 Ans: d

14.

4 3 7 9 5 7 6 5

18 25

9 17

b)

20 49

d)

1 2

e)

4 7

1 5 50 ⇒ 25 + 25 ≈ ?× 5 ⇒ = 10 5 Ans: c

c)

18 25

b) 15999 d) 1599

624.9995 + (4.9989) 2 =? ÷

1 4.9900865

Directions (Q.No. 16-20): In the following questions two equations numbered I and II are given. You have to solve both the equations and give answer: a) If x > y b) If x ≥ y c) If x < y d) If x ≤ y e) If x = y or the relationship cannot be established. 16. I. 2x2 + 11x + 14 = 0 II. 4y2 + 12y + 9 = 0 17. I. x2 − 4 = 0 II. y2 + 6y + 9 = 0 18. I. x2 − 7x + 12 = 0 II. y2 + y − 12 = 0 19. I. x2 = 729 II. y = √729 15. 989.001+1.00982 × 76.792 ≈ 989 + 1 × 77 ⇒ 989 + 77 = 1066 ≈ 1065 Ans: c 16. I. 2x2 + 7x + 4x + 14 = 0 ⇒ (x + 2) (2x + 7) = 0 ∴ x = −2 or −

7 2

II. 4y2 + 2.2y.3 + 9 = 0 ⇒ (2y+3) 2 = 0 ⇒ y = −

17.

18.

Ans: b

Ans: c 13. (399.98)2 ≈(400)2 = 160000 Ans: a 14. Taking approximate values, ⇒ 625 + (5) 2 ≈ ? ÷

a)

a) 6 b) 50 c) 10 d) 125 e) 15 15. 989.001+1.00982 × 76.792 = ? a) 1000 b) 1100 c) 1065 d) 110 e) 100

623898 × 99 = 1029.43 ≈ 1030 60000

12. ? = × × × =

4 3 6 5 × ÷ ÷ =? 5 7 7 9

13. (399.98)2 = ? a) 160000 c) 1600 e) 16000

Quantitative Quantitative Aptitude Aptitude

7

e) 1010

19.

20.

3 2

Clearly, x < y Ans: c I. (x − 2)(x + 2) = 0 x = 2 or −2 II. y2 + 2.y.3 + 9 = 0 ⇒ (y+3)2 = 0 ⇒ y = −3 Clearly, x > y Ans: a I. x2 − 4x − 3x + 12 = 0 ⇒ (x − 3)(x − 4) = 0 ∴ x = 3 or 4 II. y2 + 4y−3y − 12 = 0 ⇒ (y − 3) (y − 4) = 0 ∴ y = 3 or −4 Clearly x ≥ y Ans: b I. x2 = 729 ⇒ x = ± 27 II. y = √729 = 27 Clearly, x ≤ y Ans: d I. x4 = 227 + 398 = 625 = 54 ⇒x=±5 II. y2 = 346 − 321 = 25 = 52 ⇒y= ±5

20. I. x4 − 227 = 398 II. y2 + 321 = 346 21. A shopkeeper marked his selling price of goods at 50% above the cost price. He sells half the stock at this price, one -third of his remaining stock at a discount of 25% on the marked price and rest on discount of 20% on marked price. Find the gain percent all together. a) 35.63% b) 32.25% c) 32.35% d) 33.75% e) None of these 22. The respective ratio of the present ages of a mother and daughter is 7:1. Four years ago the respective ratio of their ages was 19:1. What will be the mother's age four years from now? a) 42 years b) 38 years c) 46 years d) 36 years e) None of these 23. Garima borrowed a certain sum of money from Dheeraj at the rate of 10% per annum simple interest for the first five years and at the rate of 8% per annum for the next 7 years and at the rate of 12% per annum for the period beyond 12 years. If she pays a total of Rs. 170400 as interest only at the end of 15 years, how much money did she borrow? a)150000 b) 124000 c) 120000 d) 104000 e) None of these Clearly, x = y

x 2 x = Sells at 25% discount 6 x Sells at 20% discount = 3

Ans: e

21. Sells at marked price =

150 x 150 75 x 150 80 x × + × × + × × 100 2 100 100 6 100 100 3

= 0.75x + 0.1875x + 0.4x = 1.3375x Profit =

1.3375 x − x × 100 = 33.75 % x

Ans: d 22. Suppose the age of mother and daughter is 7x and x. According to question, 7 x − 4 19 = x−4 1

⇒ 7x − 4 = 19x − 76 ⇒ 12x = 72 ∴x=6 So, present age of mother = 42 years After 4 years age of mother = 46 years Ans: c 23. S.I. =

PTR 100

170400 =

P × 10 × 5 + P × 8 × 7 + P × 12 × 3 100

170400 =

142P 100

P = Rs. 120000

Ans: c


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OÐðl$MóSÌŒæ yðlÌŒ DĶæ$¯]l yðlÌŒæ MýS…ç³NÅrÆŠ‡Þ çÜ…çܦ Ð]lÅÐ]lÝë¦ç³MýS$yýl$. sñæM>Þ‹Ü Ä¶æÊ°Ð]lÇÞsîæÌZ ºÄ¶æ*Ëi yìl{X ^èl§ýl$Ð]l#™èl*.. Æð‡…yø Hyé§ól ÑÆý‡Ñ$…^èl$MýS$¯é²Æý‡$. OòܯŒlÞ Ñ§éÅǦ.. M>± MýS…ç³NÅrÆý‡ÏOò³ E¯]l² BçÜMìS¢ "yðlÌŒæ'MýS$ ç³#¯é¨ ÐólíÜ…¨. ¯ðlÐ]l$èV> MýS…ç³NÅrÆý‡$Ï ™èlĶæ*Æý‡$ ^ólíÜ AÐ]l$Ãyýl… {´ëÆý‡…À…_¯]l yðlÌŒæ.. 1992ÌZ A† _¯]l² Ð]lĶæ$çÜ$ÌZ ïÜDK AƇ¬¯]l Ð]lÅMìS¢V> VýS$Ç¢…ç³# ´÷…§éÆý‡$. {ç³çÜ$¢™èl… yðlÌŒæ.. {ç³ç³…^èl {ç³RêÅ™èl MýS…ç³NÅrÆŠ‡ ™èlĶæ*È çÜ…çܦV> ÐðlË$Vö…§ýl$™èl$¯]l² ÑçÙĶæ$… ™ðlÍíÜ…§ól.

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çÜÆŠ‡ Ç^èlÆŠ‡z {»ê¯]lÞ¯Œ Ç^èlÆŠ‡z {»ê¯]lÞ¯Œl "Ð]lÇj¯Œl' {VýS*‹³ Ð]lÅÐ]lÝë¦ç³MýS$Ë$. DĶæ$¯]l MýS±çÜ… OòßæçÜ*PÌŒæ ^èl§ýl$Ð]l# MýS*yé ^èl§ýlÐ]lÌôæ§ýl$. AƇ¬¯é ÑfĶæ*ËMýS$ C§ólÒ$ Ayýl$zM>Ìôæ§ýl$. 16 Hâ¶æÏMóS Ð]l*ÅVýSi¯Œl çÜ*tyðl…sŒæ¯]l$ ¯]lyìl´ëÆý‡$. 19 Hâ¶æÏMýS$ Ð]lÇj¯Œl {VýS*‹³ Ýë¦í³…^éÆý‡$. Ð]lÊÅhMŠS ÇM>Çz…VŠSË$, {sêÐðlÌŒæÞ, GƇ¬ÆŠ‡OÌñ毌lÞMýS$ çÜ…º…«¨…_ G¯ø² çÜ…çܦË$ ¯ðlËMöÌêµÆý‡$. {ç³çÜ$¢™èl… Ð]lÇj¯Œl ÇM>ÆŠ‡zÞ, ÐøĶæ*VðSÆŠ‡ {VýS*‹³, Ð]lÇj¯Œl AsêÏ…sìæMŠS GƇ¬ÆŠ‡OÌñ毌lÞ Ð]l…sìæ 200 çÜ…çܦË$¯é²Æ‡¬.

CÐ鯌l ÑÍĶæ$ÐŒl$Þ

gꯌl MúÐŒl$

DĶæ$¯]l sîæÓrÆŠ‡ çÜçßæ Ð]lÅÐ]lÝë¦ç³MýS$yýl$. Ð]l*i ïÜDÐø MýS*yé. CÐ鯌l.. ¯ðl{ºÝëP ĶæÊ°Ð]lÇÞsîæÌZ Mö¨ª ÆøkË$ Ð]l*{™èlÐól$ ^èl§ýl$Ð]l#MýS$¯é²Æý‡$. ™èlÆ>Ó™èl IsîæÌZ {ïœÌê¯]lÞÆŠ‡V> Mö™èl¢ iÑ™èl… {´ëÆý‡…À…^éÆý‡$. òßæ^Œlï³, C…sñæÌŒæ çÜ…çܦÌZϯ]l* ç³° ^ólÔ>Æý‡$. Ððl$VŠS çßoÇV>¯Œl ¿êVýSÝëÓÐ]l$Å…™ø »êÏVŠS ´ëÏsŒæ¸ë… Æý‡*´÷…¨…^éÆý‡$. 2006ÌZ ©°² VýS*VýS$ÌŒæ Mö¯]l$VøË$ ^ólíÜ…¨. 2006ÌZ gêMŠS yøÈÞ, CÐ鯌l ÑÍĶæ$ÐŒl$Þ, ¼gêÝùt¯Œl, ¯øàV>Ï‹ÜË™ø MýSÍíÜ OÐðl${Mø »êÏW…VŠS OòÜsŒæ sîæÓrÆŠ‡¯]l$ Æý‡*´÷…¨…^éÆý‡$.

gꯌl.. {ç³Ð]l¬Q Ððl¬O»ñæÌŒæ Ððl$òÜ…h…VŠS Ķæ*‹³ ÐésêÞ‹³ çÜçßæ Ð]lÅÐ]lÝë¦ç³MýS$yýl$, ïÜDK. E{MðSƇ¬¯ŒlMýS$ ^ðl…¨¯]l gꯌl 16 Hâ¶æÏ Ð]lĶæ$çÜ$ÌZ ™èlÍÏ™ø MýSÍíÜ AÐðl$ÇM>ÌZ° M>͸ùDzĶæ*MýS$ Ð]lËçÜ ÐðlâêÏÆý‡$. AMýSPyýl Ô>¯ŒlgZ‹Ü ĶæÊ°Ð]lÇÞsîæÌZ yìl{XÌZ ^ólÆ>Æý‡$. ç³NÇ¢M>MýS Ð]l¬…§ó Ð]l*¯ólÔ>Æý‡$. ™èlÆ>Ó™èl Ķæ*çßæ*ÌZ ¯ðlsŒæÐ]lÆŠ‡P C…f±ÆŠ‡V> ™öÑ$çólâ¶æÏ ´ër$ Ñ«§ýl$Ë$ °Æý‡ÓÇ¢…^éÆý‡$. {¼Ä¶æ*¯Œl BMýSt¯Œl™ø MýSÍíÜ 2009ÌZ ÐésêÞ‹³¯]l$ Æý‡*´÷…¨…^éÆý‡$. 2014ÌZ ÐésêÞ‹³¯]l$ õœ‹Üº$MŠS ¿êÈ §« ýlÆý‡MýS$ Mö¯]l$VøË$ ^ó íÜ…¨.

Æ>ÌŒæ¹ ÌêÆð‡¯Œ {ç³ç³…^èl {ç³RêÅ™èl ¸ëÅçÙ¯Œl {»ê…yŠl "´ùÌZ' VýS$Ç…_ ѯól E…sêÆý‡$. ©°° CçÙtç³yýl° Ķæ¬Ð]l™èl E…yýlÆý‡$. Ð]l¬QÅ…V> D çÜ…çܦ A…¨…^ól ÝùµÆŠ‡tÞ §ýl$çÜ$¢Ë$ G…™ø B§ýlÆý‡×æ ´÷…§éƇ¬. §ýl$çÜ$¢Ë¯ól M>§ýl$.. çœ#sŒæÐólÆŠ‡, kÅÐðlËÈ, çÜ$VýS…«§ýl {§ýlÐéÅË$, VýS–çßZç³MýSÆý‡×êË$ CÌê "Æ>ÌŒæ¹ ÌêÆð‡¯Œl M>ÆöµÆó‡çÙ¯Œl' ¯]l$…_ Ð]l_a¯]l H Ð]lçÜ$¢Ð]l#O¯ðl¯é Ñ°Äñæ*VýS§éÆý‡$Ë$ GVýSºyìl Mö…sêÆý‡$. Ð]l…§ýlË MørÏ Æý‡*´ëĶæ$Ë ÐéÅ´ëÆ>°² çÜ–íÙt…_¯]l Æ>ÌŒæ¹ yìl{X ç³NÇ¢^ólĶæ$Ìôæ§ýl$. ºÆý‡*^Œl M>ÌôæiÌZ Æð‡…yólâ¶æÏ´ër$ ^èl¨ÐéMýS BÈÃÌZ ^ólÆ>Æý‡$. AMýSPyýl Rêä çÜÐ]l$Ķæ$…ÌZ "¯ðlMŠS Osñæ'Ë$ MýS$r$tMýS$…r*.. Ð]lç܈ {ç³ç³…^èl…ÌZMìS {ç³ÐólÕ…^éÆý‡$. ™èlÆ>Ó™èl BĶæ$¯]l Ðólíܯ]l {糆 Ayýl$VýS$ çÜ…^èl˯]lÐól$..!


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 9,  2017-  

Conjugate of a + ib = ? COMPLEX NUMBERS SENIOR INTER

B. LAXMINARAYANA M.Sc., B.Ed., Senior Math Faculty 9849386253 lnmathsir@gmail.com

MATHS - 2 A


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 9,  2017-  

58.     ? .  .  .  .  .  1) ---- 2) ---- 3) ---- 4) ---- 59.    ? 1) 243() ) 243() 3) 243() 4) 243() 60.      ? 1)  2)  3)  4) 

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61.    ? 1)      2)         3)        . 4)  62.     ? 1)   2)   3)   4)   

   ?  

1.    , ,   ? 1)   - 1833 2)    - 1858 3)   - 1861 4)   - 1892 2. ‘   ’ ? 1)  2)   3)   4)  3.      ? 1) 1947  22 2) 1947  21 3) 1947  20 4) 1947  23 4.        ? 1) 10  2) 60  3) 70  4) 30  5.  50    ? 1)  2)  3)  4)  6.     ? 1)  2)  3)  4)  7.    (1953-54) ? 1)  2)   3)   4)   8. ‘  ’       ? 1)  2)  3)   4)  9. ‘    .       ’ ? 1)  2)   3)   4)   10.    ? 1)     2)     3)    ,   4)  11.        ? 1)  2)  3)  4)  12.        ? 1)     2) ,     3)     4)       13.   . .       .         ? 1)  2)  3) ,  4)  14.      ? 1)  2)  3)  4)  15.        ?

1)   2)   3)   4)   16.   ? 1) 1911  25 2) 1911  26 3) 1911  27 4) 1911  28 17.   ? 1)    2)     3)    4)    18.        ? 1)   2)   3)   4)   19.        ? 1)    - 1858 2)    - 1892 3)   - 1773 4)    - 1784 20.      ? 1) 1782 2) 1783 3) 1784 4) 1785 21.     ? 1)    2)    3)   4)  22.    ? 1)   2)   3)   4)    23.          ? 1) 17 2) 16 3) 15 4) 14 24.   ? 1)  28 2)  2 3)  3 4)  24 25.   -22  ? 1)     2)    3)   4)       26.     ? 1)  2)  3)  4)  27.  ? 1.      2.        3.           ? 1) 1 1) 1, 2 3) 3 4) 1, 2, 3 28.   ‘’ ? 1) 5 2) 3 3) 6 4) 12 29. ‘   ’     ? 1)  2)  3)  4)  30.        ? 1)   2)   3)   4)   31.    ? 1)  ,   2)      3)        4)   ,   

32.      ? 1)  9 2)  8 3)  11 4)  6 33.    , ,      ? 1)  2)   3)    4)     34.        ? 1) 1990 2) 1991 3) 1992 4) 1993 35.     ? 1)  2)  3)  4)  36.    ? 1)  , ,     2)  ,   3)     4)  37.     ? 1)   2) / 3)      4)   38. ‘    ’ ? 1)   2)   3)   4)    39. 16          ? 1)   2)  3)   4)   40.  ? 1)  2)   3)   4)  41.    1)     2)     3)      4)  42.       ? 1)   2)  3)   4)  43. ‘     ’     ? 1)   2)   3)   4)   44.   ? 1)    2)   3)   4)   45.     ? 1)  2)  3)  4)  46.       ? 1) ,  2)  3)  4)    47.    ?

      ,  () 9908569970

1)   2) ,   3)   4)    48.       ? 1)   2)   3) ,    4)    49.         ? 1)     2)     3)       4)      50.  ,     ? 1)   -  2)     -  3)    -  4)    -  51.    ? 1)    2)   3)   4)   52.      ? 1)  2)  3)  4)   53.   -  ? 1)  2)  3)  4)   54 . ‘ ,  ’  ? 1)  2)  3)   4)  55.     ? 1)   ,   2)  ,    3)   ,   4) ,    56.     ? 1)    2)    3)    4)   57.   ? 1)   2)   3)   4)  



1-3, 7-3, 13-2, 19-2, 25-1, 31-4, 37-3, 43-2, 49-3, 55-3, 61-1,

2-2, 8-3, 14-2, 20-3, 26-3, 32-1, 38-2, 44-3, 50-2, 56-3, 62-4

3-1, 9-4, 15-3, 21-2, 27-2, 33-4 , 39-3, 45-2, 51-3 , 57-1,

4-1, 10-3, 16-3, 22-3, 28-2, 34-4, 40-2, 46-4, 52-4, 58-1,

5-4, 11-4, 17-4, 23-2, 29-3, 35-3, 41-1, 47-2, 53-1, 59- 1,

6-1, 12-2, 18-1, 24-3, 30-2, 36-4, 42-3, 48-2, 54-3, 60-4,


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12

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Social Studies Independent India (The first 30 years - 1947 - 77) The main challenges before the leadership was the need to maintain unity and integrity to bring about a social and economic transformation and to ensure the working of the democratic system. These challenges are interrelated and great care had taken to ensure that the system didnot get imbalanced. Main Points 1.The first general elections to be held under the new constitution were immensely significant for Indian democracy. 2. India adopted universal Adult Franchise. 3. The first elections were difficult as the large section of population did not know how to read and write. 4. Election commission used the symbols from daily life for visual identification. 5. In Independent India's first three general elections in 1952, 1957 and 1962 the Indian National congress won reducing other participants to almost nothing ★ Among the first challenges the new nation faced was the demand for reorganisation of states on the basis of language. ★ In August 1953 the state reorganisation commission was appointed with Fazal Ali, K.M. Panikkar and Hridaynath Kunzru on the basis of linguistic principle. ★ It created 14 states and six union territories ★ The constituent assembly had called for social Economic and political Justice and equality of status and opportunity, it put social and economic change at the top of the agenda of modern India. ★ Planning Commission was setup dissolve the divisions of caste, religion, and region

-¨¡-E¢√®Ωç- 9 ÂÆ-°-dç-•®Ω’ 2017

After Independence the first 30 years became very crucial for India. The setting of national goals and putting in place institutional mechanisms to achieve them within a relatively short span of time was undoubtedly a great achievement for a people who had been ruled by foreign power for more than two centuries.

What is cold war? and other disruptive tendencies.

★ In 1967 elections show the big transition in

Writer:

India where many regional parties came to power. ★ It propounded India is moving towards multi party system. ★ The Delhi Agreement found place in the Article 370 of Indian constitution. ★ In 1971 a war broke out between India and Pakistan. ★ Immediately after the victory in 1971 Bangladesh war Indira Gandhi used popular slogan "Garibi Hatao". ★ Inflation, poverty, unemployment and scarcity of food gave congress government the public resentment. ★ As JP movement gaining strength the government imposed emergency. ★ Important achievement of this period (1947-77) was the establishment of stable democracy.

K. Srinivasa Rao

2 Marks Questions Q: Do you think single party democracy would have been better alternative to multi party democracy? A: Single party dominance brings with it other negative features. Its aim to extend influence over state and society by further centralisation. So I think single party democracy would have not been a better alternative to multi party democracy.

Subject Expert Q: Is it necessary for a national language? A: Yes, there is a need for a national language. Our national language is Hindi. A national language may for instance represent the national identity. There should a official language in use. Q: Why did the tribal languages ignore at the time of creation of the states in 1956? A: There were many tribal languages. The Tribals spread all over the country. So it is not possible to form a new state based on the tribal languages. Thus the tribal languages were ignored. Q: What do you know about Anti-Hindi agitations? A: When the official languages act was passed in 1963 the DMK believed it was an attempt foist Hindi on the rest of the country. ★ There was a state wide campaign protesting the imposition of Hindi. ★ There were strikes, dharnas, hartals, burning effigies and burning the pages of the constitution. ★ The government gave many concessions to the Anti Hindi camp.

Q: If women are not allowed to vote in India, How would it effect our politics? A: If women are not allowed to vote in India, it will have adverse effect on politics. The half of the Indian population are women. But they would be neglected. They would not enjoy their rights and equality. ★ If we deny voting right to women, then we are loosing diversity of ideas, values which is needed for country's enrichment. Q: Do you think unity of India would have been better served if linguistic states were not formed? A: No, I don't think unity of India would have better. The languages unite the people. The language policy was accepted by the central leaders also. The linguistic states were also developed well. 1 Mark Questions Q: In which year women in Switzerland got the right to vote? A: The Swiss women got the right to vote in 1971. Q: Through which agreement Kashmirs would become the citizens of India? A: Through Delhi agreement Kashmiries would become the citizens of India. Q: What was the speciality of 370 Article? A: To give special status to Jammu and Kashmir state. Q: What is cold war? A: Cold war is characterized by intense between the U.S.A and U.S.S.R after Second World War.

®Ω-·-ûª

-Ç Ææç-êu-© -´’-üμ¿u -´u-û√uÆæç 3 -Å®·-ûË..?

– -G-Vb-© -N-≠æflg-´®Ωn-Ø˛ È®-úÕf y=5

°ü¿l Ææçêu

(287 − 269)2 = (18)2 = 324

= 8

-úÁjÈ®éπd®˝, -Åéπ~®Ω Ææd-úŒ Ææ-J\-™¸

ï¢√•’: 1 3 587 × 999 =

ï¢√•’: 4

.

Ææç-êu--©’ 1.

äéπ Ææçêu 36 éπçõ‰ áçûª áèπ◊\¢Ó ûªèπ◊\´. Å®·ûË Ç Ææçêu àC? 1) 61

2) 51

86

3) 71

éπçõ‰ Åçûª

1) 586413

2) 587523

3) 614823

4) 615173

≤ƒüμ¿†: 587 × 999™ -áEo 9 ©’ ÖØ√oßÁ÷ ÅEo Ææ’Ø√o©’ ®√Æœ ÅüË Ææçêu†’ BÆœ¢Ë-ߪ÷L.

4) 41

587000 − 587 ⎯⎯⎯⎯ 586413 ⎯⎯⎯⎯

≤ƒüμ¿†: Ç Ææçêu x ņ’-éÓçúÕ. ü¿û√h稡ç v°æ鬮Ωç x − 36 = 86 − x

x + x = 86 + 36

ï¢√•’: 1 .

122 x = ⎯⎯ = 61 2 ∴ é¬-¢√-Lq-† Ææçêu ÆæçéÀ~°æh °æü¿l¥A: 86

1) 2400

= 61

≤ƒüμ¿†: Ç Ææçêu©’

x, y

= (200)(12) = 2400

3) 12

4) 13

ņ’-éÓçúÕ. ü¿û√h稡ç v°æ鬮Ωç.

x − y = 3, x2 − y 2 = 39 (x2 − y2) = (x − y) (x + y) 39 x + y = ⎯ = 13 3 x + y = 13

BÆœ¢ËÊÆh)

x−y= 3 ⎯⎯⎯⎯ 16 2x = 16 ⇒ x = ⎯ = 8 2

ï¢√•’: 1

4) 4

≤ƒüμ¿†: 489 = a, 375 = b ņ’-éÓçúÕ. Å°æ¤púø’

1) 1000

2) 536 232 = b

3) 500

2) 87960 4) 87960000

≤ƒüμ¿†: ü¿û√h稡çí¬ É*a† -¢√-öÀ-™ È®çúÕç-öÀ™ ÖçC.

8796

8796 (223 + 777) = 8796 (1000) = 8796000

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4) 324

≤ƒüμ¿†: 287 = a, 269 = b ņ’-èπ◊çõ‰ ü¿û√h稡ç v°æ鬮Ωç a2 + b2 − 2ab = (a − b)2 Å´¤-ûª’çC. Å°æ¤púø’

≤ƒn†ç-™

2

Öçú≈L.

5 + 1 + 7 + 2 + 3 + 2 + 4 = 24 ★

éπE≠æe N©’´

2

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ï¢√•’: 3 ÅØË Ææçêu†’ 11ûÓ E¨Ïz-≠æçí¬ ¶μ«Tçî√L. Åçõ‰ ★ éπE≠æe N©’´ áçûª?

11. 97215 ★ 6

768 × 768 × 768 + 232 × 232 × 232 8. ⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯ = ...... 768 × 768 −768 × 232 + 232 × 232

≤ƒüμ¿†: 768 = a, ü¿û√h稡ç

É°æ¤púø’ 鬕öÀd

(a + b)2 − (a − b)2 4ab ⎯⎯⎯⎯⎯⎯⎯⎯ = ⎯⎯ = 4 a×b ab

4) 268

ņ’-éÓçúÕ. Å°æ¤púø’

a3 + b3 (a + b)(a2 − ab + b2) ⎯⎯⎯⎯⎯ = ⎯⎯⎯⎯⎯⎯⎯⎯⎯ a2 − ab + b2 (a2 − ab + b2)

1) 3

2) 2

3) 1

4) 5

≤ƒüμ¿†: àüÁj-Ø√ Ææçêu†’ 11ûÓ E¨Ïz-≠æçí¬ ¶μ«Tçî√L Åçõ‰ É*a† Ææçêu áúø´’ †’ç* èπ◊úÕ ¢Áj°æ¤ ¢ÁRx†-°æ¤púø’ 1 Ææçêu†’ ´CL ´’®Ìéπ Ææçêu†’ BÆæ’éÓ-¢√L. Å°æ¤púø’ Ç Ææçêu© ¢Á·û√h© ´’üμ¿u ´uû√uÆæç 0 ™‰üΔ 11 í∫’ùÀïç 鬢√L. 9 7 2 1 5 ★ 6

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ï¢√•’ : 2 ÅØË Ææçêu†’ 3 ûÓ E¨Ïz-≠æçí¬ ¶μ«Tçî√L. Åçõ‰ éπE≠æe N©’´ áçûª? 1) 0 2) 1 3) 2 4) àD-é¬ü¿’ ≤ƒüμ¿†: àüÁj-Ø√ Ææçêu†’ '3—ûÓ E¨Ïz-≠æçí¬ ¶μ«Tçî√L Åçõ‰ É*a† Ææçêu-™E ÅçÈé© ¢Á·-û√h-Eo 3ûÓ

≤ƒüμ¿†: àüÁj-Ø√ Ææçêu†’ 8ûÓ E¨Ïz-≠æçí¬ ¶μ«Tçî√L Åçõ‰ Ææçêu-™E *´J 3 ≤ƒnØ√©-†’ 8ûÓ E¨Ïz-≠æçí¬ ¶μ«Tç-î√L. = 6★2 (*´J 3 ≤ƒnØ√©’) É°æ¤púø’ ★ ≤ƒn†ç-™  3- †’ v°æA-Íé ~-°œç-î √L. = 632 -D-Eo 8 ûÓ E¨Ïz-≠æçí¬ -¶μ«-T-ç-îª-´-a. ï¢√•’: 3

= 1000

1) 5870

2) 58700

3) 2700

4) 1700

≤ƒüμ¿†: É*a† ü¿û√hç-¨¡ç™ È®çúÕç-öÀ-™†÷ 587 (207 − 107)

587

= 587 × 100 = 58700 10. 517 ★ 324 ★

9 + 2 + 5 + 6 22

ï¢√•’: 1

3) 8796000

2) 446

3) 2

9. 587 × 207 − 107 × 587 = .......

1) 879600

1) 534

2) 864

= (768 + 232)

5. 8796 × 223 + 8796 × 777 =

39 = 3 (x + y)

(

4) 1906

∴ 106 × 106 − 94 × 94 = (106 + 94)(106 − 94)

ï¢√•’: 1 . È®çúø’ Ææçêu© ´’üμ¿u ´uû√uÆæç 3. ¢√öÀ ´®√_© ´uû√uÆæç 39. Å®·ûË Åçü¿’™ °ü¿l Ææçêu àC? 2) 9

3) 1904

≤ƒüμ¿†: 106 = a, 94 = b ņ’-èπ◊çõ‰ ü¿û√h稡ç v°æ鬮Ωç a2 − b2 Å´¤-ûª’çC. Ææ÷vûªç v°æ鬮Ωç a2 − b2 = (a + b)(a − b)

36 ⎯⎯ 122 ⎯⎯ = 61 2

1) 8

2) 2000

1) 144

E¨Ïz-≠æçí¬ ¶μ«Tç-î√L.

5 + 1 + 7 + ★ + 3 + 2 + 4 = 22 + ★

ï¢√•’: 4

4 106 × 106 − 94 × 94 =

2x = 122

2

(489 + 375)2 − (489 − 375)2 7. ⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯ = (489 × 375)

1) 1

2) 2

3) 3

4) 4


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- ¨¡-E¢√®Ωç- 9 -ÂÆ-°-dç-•®Ω’ 2017 ★

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-O’ -Å-Gμ-v§ƒ-ߪ÷-©’ °æç-§ƒ-Lq-† -¢Á’®·-™¸ -â-úŒ pratibhadesk@eenadu.net

13

´’çvA-vûªßª’ ®√ߪ’-¶«®Ωç™ -§ƒ-™Ô_-†o á.N. Å™„-í¬bç-úø®˝ £æ«ÙüΔ -à-N’-öÀ? 1) ¶®˝f Ç°∂ˇ võ‰ú˛ Åüμ¿u-èπ~◊úø’ 2) ¶μ«®Ωûª ®√ïu 鬮Ωu-ü¿Jz 3) Cí∫’-´Ææ¶μº ÂÆvéπ-ôK 4) Ææ®Ωy ÂÆjØ√u-üμ¿u-èπ~◊úø’ ï-¢√-•’: 4 ®√ñ«uçí∫ °æJ-≠æû˝ à®√pô’ à éπN’öà Ææ÷ v°æ鬮Ωç ïJ-TçC? 1) véÀ°ˇq ®√ߪ’-¶«®Ωç 2) ¢Ë¢Á™ ¸ v°æù«-Réπ 3) WØ˛ 3 v°æù«-Réπ 4) ´’çvA-vûªßª’ ®√ߪ’-¶«®Ωç -ï-¢√-•’: 4

í¬çDμ@ ÆæyüËQ *£æ«oçí¬ üËEo áç-èπ◊-Ø√o®Ω’? ®Ω-·-ûª -¶Ô-ûªq -Ø√í∫®√-V -ÅÆœÂÆdç-ö¸ -v§Ò°∂Ææ®˝ 1)

áÆˇH √Ø˛ 2) ¢ÁjH √Ø˛ Gô÷d §ƒçúË 4) ®√¢˛’´ - ’-ØÓ-£«æ ®˝ ™£œ«ßª÷ 19. éÀyö¸ ÉçúÕߪ÷ Öü¿u-´÷Eo ´uA-Í®-éÀç*† §ƒKd àC? 1) éÀ≤ƒØ˛ ´’Wl®˝ 2) -Åé¬--M-ü¿∞ ¸ 3) £œ«çü¿÷ ´’£æ…-Ææ¶μº 4) éπ´‚u-EÆˇd §ƒKd 20. 'v°æ°æç-îª-´’çû√ ´’† ´·çü¿’ ¢Á÷éπ-J©’xûª’†o Æ洒ߪ’ç™ äéπ ´%ü¿’l¥úÕ ´·çü¿’ ¢Á÷éπ-J-©x-´-©-Æœ† Å´Ææ®Ωç ™‰ü¿’— ÅE ¢√uë«u-Eç-*çC á´®Ω’? 1) LØ˛-L-û˝íÓ 2) ™«®˝f -¢Ë-¢Á™ ¸ 3) NØ˛-ÆdØ æ ˛ îªJa™¸ 4) ™«®˝f ÅöÃx 21. Ççvüμ¿™  §ƒKd Å-Hμ≥ƒd-EéÀ ´uA-Í®-éπçí¬ éÀyö¸ ÉçúÕߪ÷ Öü¿u-´’ç™ §ƒ™Ô_†o Ççvüμ¿ éπ´‚u-EÆæ’d §ƒKd Ø√ߪ’-èπ◊úø’ á´®Ω’? 1) îªçvúø °æ¤™«x-È®úÕf 2) Ææ’®Ω-´®Ωç v°æû√-°æ-È®úÕf 3) °æ¤îªa-©-°æLx Ææ’çü¿-®Ωߪ’u 4) á´®Ω÷é¬ü¿’ 22. Ææ’¶μ«≠ˇ îªçvü¿-¶Æˇ Ææ秃-ü¿-èπ◊-úÕí¬ °æE-îË-Æ œ† '§∂ƒ®Ωy®˝f ¶«xé˙— °ævAéπ ≤ƒn°æ-èπ◊úø’ á´®Ω’? 1) ¢Á÷B-™«™¸ ØÁv£æfi 2) *ûªh-®Ωç-ïØ˛ üΔÆˇ 3) ï´-£æ«-®˝-™«™¸ ØÁv£æfi 4) J¶„Ø˛ vö«°ˇ 23. 1938 ™ Ææ’¶μ«≠ˇ îªçvü¿-¶Æˇ Åüμ¿u-éπ~ûª ´£œ«ç-*† é¬çvÈíÆˇ Ææ´÷-¢Ë¨¡ç àC? 1) Ææû√®√ 2) £æ«J-°æ¤®Ω 3) vA°æ¤®Ω 4) ®√¢˛’-°∂æ’®˝ 24. í¬ç-Dμ-@ -à é¬ç-vÈíÆˇ Ææ-´÷-¢Ë-¨¡ç-™  Ææ’¶μ«≠ˇ îªçvü¿-¶ÆˇÂ°j §ÚöÃí¬ °æö«dGμ Æ‘û√-®√-´’-ߪ’u†’ -E-L-§ƒ®Ω’? 1) £æ«J-°æ¤®Ω 2) vA°æ¤®Ω 3) Ææû√®√ 4) Ø√í˚-°æ¤®˝ 25. ï®Ωt-F™ Ææ’¶μ«≠ˇ îªçvü¿-¶Æˇ Ωa©’ ïJ-°œ† £œ«ôx®˝ ņ’-îª-®Ω’úø’ á´®Ω’? 1) öñ 2) íÓx¶„™ ¸ 3) ÉJyØ˛ íÓJçí˚ 4) J¶„Ø˛ vö«°ˇ 26. éÀçC¢√-öÀ™  ÆæJ-é¬E Å稻Eo Ê°®Ì\-†çúÕ. 1) ¶μ«®Ωûª ñ«Bߪ’ ÂÆjØ√uEo Èé°dØ˛ ¢Á÷£æ«-Ø˛-Æ œçí˚ ≤ƒn°œç-î√®Ω’. 2) ÉçúÕ-ߪ’Ø˛ ÉçúÕ-°ç-úÁØ˛q Mí˚†’ ®√Æˇ G£æ…J ¶Æˇ ≤ƒn°œç-î√®Ω’. 3) Çñ«ü˛ £œ«çü˛ §∂˘ñ¸ ≤ƒn°è-æ π◊úø’ Ææ’¶μ«≠ˇ îªçvü¶ ¿- Æˇ. 4) 1943 ÅéÓd-•®Ω’ 21† ¶Æˇ ¶«uçé¬-é˙™  Ææyûªçvûª ¶μ«®Ωûª v°æ¶μº’-û√yEo ≤ƒn°œç-î√®Ω’. 27. ¶Æˇ Ææyûªçvûª ¶μ«®Ωûª v°æ¶μº’-û√yEo í∫’Jhç-*† ûÌL ü˨¡ç àC? 1) Å¢Á’-Jé¬ 2) ï®ΩtF 3) ï§ƒØ˛ 4) ®Ω≥ƒu 28. ¶Æˇ Ø√ߪ’-éπ-ûªyç™ à®Ωp-úÕ† Ææyûªçvûª ¶μ«®Ωûª v°æ¶μº’ûªy ûÌL ÇJn-éπ- ´’çvA á´®Ω’? 1) ≠æù’t-í∫ç-¨ÎöÀd 2) áÆˇ.á. Åߪ’uç-í¬®˝ 3) £æ«H-•’™¸ ®Ω£æ«-´÷Ø˛ 4) á.Æœ. îμªôKb 29. ï§ƒØ˛ ¶μ«®Ω-û˝èπ◊ Å°æp-Tç-*† Åçúø-´÷Ø˛ D´¤-©èπ◊ ¶Æˇ °öÀd† Ê°Í®N’öÀ? 1) ≠棑«ü˛ 2) Ææy®√ñ¸ 3) °æ‹®Ωg Ææy®√ñ¸ 4) ÉçúÕ-ߪ’Ø˛ D´¤©’ 30. 1939 ™ Ææ’¶μ«≠ˇ îªçvü¿-¶Æˇ ≤ƒn°œç-*† §ƒKd àC? 1) Ææy®√ñ¸ §ƒKd 2) -§∂ƒ®Ωy®˝f ¶«xé˙ 3) Ææyûªçvûª §ƒKd 4) ÉçúÕ-°ç-úÁçö¸ Mí˚ 31. Ææ’¶μ«≠ˇ îªçvü¿-¶Æˇ ´’%A°j Eߪ’-N’ç-*† éπN’öà àC? 1) ≥ƒ-†-¢√-ñ ¸-ë«Ø˛ éπN’öà 2) ë≤ƒx éπN’öà 3) 1, 2 4) àD-é¬ü¿’ 3)

32 1945

.

†´ç-•-®Ω’™ â-á-Ø˛-à ߪ·ü¿l¥ ë„jD© Nî√-®Ωù©’ v§ƒ®Ωç-¶μº-¢Á’i† †í∫®Ωç àC?1) úμÕMx 2) éπ©-éπû√h 3) ´’vüΔÆˇ 4) 鬆÷p®˝ 33. ¶μ«®Ωûª ñ«Bߪ’ ÂÆj†uç ߪ·ü¿l¥ ë„jD© ûª®Ω-°æ¤† ¢√Cç*† Ø√uߪ’-¢√C á´®Ω’? 1) ¶μº÷™«-¶μ«ß˝’ ü˨»ß˝’ 2) Å®Ω’ù« ÅÆæ-°∂ˇ Å-M 3) ûËñ ¸-•-£æ«-ü¿÷®˝ Ææv°æ‹ 4) Åçü¿®Ω÷ 34. úμÕMx™  Nî√-®Ω-ù-©†’ áü¿’-®Ì\†o â-á-Ø˛-à ߪ·ü¿l¥ ë„jD©’ á´®Ω’? 1) öÀ.Èé. ÂÆ£æ«-í∫™ ¸ 2) >.áÆˇ. C∑™«xØ˛ 3) ≥ƒ†-¢√ñ¸ 4) °j¢√∞¡xç-ü¿®Ω÷ 35. 1946 ™ â-á-Ø˛-à ߪ·ü¿l¥ ë„jD© Péπ~-©†’ ®Ωü¿’l-îË-Æ œ† Ææ®Ωy ÂÆjØ√u-Cμ-é¬J á´®Ω’? 1) ÇîÁ-Ø˛-™„é˙ 2) v•÷Æˇ-°∂‘™ ¸f 3) NLߪ’ç °çô-í¬Ø˛ 4) ñ„ö¸-™«çú˛ 36. 1946, °∂œv•-´J 18 † ؈é¬-ü¿-∞¡ç™ RIN A®Ω’-í∫’¶«ô’ ïJ-T† v°æü˨¡ç àC? 1) éπ©-éπû√h 2) -¶Ôç--¶«®· 3) ´’vüΔÆˇ 4) é¬L-éπö¸ 37. ûª™«y®˝ ؈éπ°j 'éÀyö¸ ÉçúÕߪ÷— ÅE ®√ÆœçC á´®Ω’? 1) ™«™« £æ«®Ω-ü¿-ߪ÷∞¸ 2) ™«™« éÀ≠æ-Ø˛-Æ œçí˚ 3) G.Æœ.ü¿û˝ 4) Ç®˝.Æœ.ü¿û˝ 38. È®çúÓ v°æ°æçîª ßª·ü¿l¥ Ææ´’-ߪ’ç™ ¶μ«®Ωûª ÂÆjE-èπ◊©èπ◊ Ææ®Ω’-èπ◊©’ Ææ®Ω-°∂æ®√ îËߪ’-ú≈-EéÀ Ö°æ-ßÁ÷-Tç-*† N´÷-Ø√©’ àN? 1) A-46

2) B-46

3) B-52

4) C-46

39.

'ñ„j£œ«çü˛—, '- úμÕMx— EØ√-üΔ©’ É*açC á´®Ω’? ¶μºí∫-û˝-Æœçí˚ 2) Èé°dØ˛ ¢Á÷£æ«-Ø˛-Æ œçí˚ 3) ®√Æˇ-G-£æ…K ¶Æˇ 4) Ææ’¶μ«≠ˇ îªçvü¿-¶Æˇ 40. í¬çDμ@ ÆæyüËQ *£æ«oçí¬ üËEo áç-èπ◊-Ø√o®Ω’? 1) ñ«B-ߪ’- ñ„çú≈ 2) Ũéπ îªvéπç 3) ûÁ-©’°æ¤- °æöÃd 4) Ωë« 41. Ö°æ¤p Ææû√u-ví∫£æ« 鬩ç™ à °æôd-ùç™ àéπçí¬ 1600 ´’çC ´’£œ«-∞¡©’ ÅÈ®Æædߪ÷u®Ω’? 1) úμÕMx 2) -¶Ôç-¶«®· 3) éπ©-éπû√h 4) ü¿çúÕ 42. 1935 îªôdç üΔy®√ ¶μ«®Ω-ûª-üË-¨¡ç™ áçûª ¨»ûªç ´’çCéÀ ãô’ £æ«èπ◊\ ©Gμç-*çC? 1)

43.

1) 26 %

2) 12 %

3) 21 %

4) 1 %

1937

´÷vûª¢Ë’ áEo-éπ™x ´·Æœxç-Mí˚ §ÒçC† ≤ƒnØ√©’, ãôx

¨»ûªç? 1) 84, 4.4% 2) 104, 44.4% 4) 84, 44.4% 3) 102, 4.4% 44. é¬çvÈíÆˇ §ƒKd Ææ¶μº’u©’ Éûª®Ω §ƒKd™ x îË®Ω-úøç°j Ŷμºuç-ûª®Ωç -ûÁ-L°œ-† ´·Æœxç Ø√ߪ’-èπ◊úø’ á´®Ω’? 1) ´’£æ«t-üΔM >Ø√o 2) ≥˘éπû˝ ÇM 3) ®Ω£æ«-´’-û˝-ÅM 4) ´’¯™«Ø√ éπ™«ç Çñ«ü˛ 45. 1930 ´·Æœxç-Mí˚ Ææ´÷-¢Ë-¨¡ç™ ¢√-ߪ’´u ´·Æœxç ®√≠æZ Ç´-¨¡u-éπ-ûª í∫’Jç* ´÷ö«x-úÕ† ´uéÀh á´®Ω’? 1) ´’£æ«t-üΔM >Ø√o 2) ´’£æ«tü˛ Éé¬s™¸ 3) ®Ω£æ«-´’û˝ ÅM 4) -≥˘éπû˝ Ö≤ƒtF 46. §ƒéÀ≤ƒnØ˛ – ÅØË ¶μ«´-††’ ®Ω÷§Òç-Cç-*† ´uéÀh á´®Ω’? 1) ´’£æ«t-üΔM >Ø√o 2) ´’£æ«tü˛ Éé¬s™¸ 3) î¯ü¿J ®Ω£æ«-´’û˝ ÅM 4) ≥˘éπû˝ Ö≤ƒtF 47. '§ƒéÀ-≤ƒnØ˛ ÅØË ¶μ«´-††’ °æJ-í∫-ù-†™éÀ BÆæ’-éÓ-¢√-©-†úøç™ ᙫçöÀ ÆæçüË£æ«ç ™‰ü¿’— ÅE 1940 ™ Ê°®Ì\-†o Ø√ߪ’-èπ◊úø’ á´®Ω’?

1)

í¬çDμ@ 2) ØÁv£æfi Å綉-úø\®˝ 4) ´’£æ«t-üΔM >Ø√o 48. éÀyö¸ ÉçúÕߪ÷ Öü¿u-´’-é¬-©ç™ ®Ω£æ«Ææu Öü¿u-´÷Eo †úÕ-°œçC á´®Ω’? 1) Ææ’¶μ«≠ˇ îªçvü¿-¶Æˇ 2) ïߪ’-v°æ-鬨¸ Ø√®√-ߪ’ù˝ 3) áç.áØ˛.®√ß˝’ 4) ¶μºí∫-¢√Ø˛ Å£‘«®˝ 49. È®çúÓ v°æ°æçîª ßª·ü¿l¥ Ææ´’-ߪ’ç™ éÀyö¸ ÉçúÕߪ÷ Öü¿u-´÷Eo ´uA-Í®-éÀç* Éçí∫xçú˛èπ◊ ´’ü¿lûª’ É¢√y©E E®Ωg-®·ç-*† §ƒKd àC? 1) ´·Æœxç-Mí˚ 2) ¶μ«®Ωûª ñ«Bߪ’ é¬çvÈíÆˇ 3) ÉçúÕ-°ç-úÁçö¸ ™‰•-®˝- §ƒKd 4) éπ´‚u-EÆˇd §ƒKd 50. 1946™ ûÁ¶μ«í∫ Öü¿u´’ç -ï-J-T-† v§ƒçûªç àC? 1) ´’vüΔÆˇ 2) ¶Ô綫®· 3) ¶„çí¬™¸ 4) °æçñ«¶¸ 51. 1944 Ø√öÀ ®√ñ«@ v°æA-§ƒ-ü¿-†™ ™‰E Å稡ç àC? 1) é¬çvÈíÆˇ, ´·Æœxç-M-í˚-©ûÓ û√û√\-Léπ v°æ¶μº’ûªyç à®√pô’ 2) ´·Æœxç-©èπ◊ v°æûËuéπ ®√ïuç à®√pô’ 3) ´·Æœxç© v°æûËuéπ ®√ïuç éÓÆæç v°æñ«-Gμ-v§ƒßª’ç ÊÆéπ-Jç-îªúøç 4) ÅFo ÆæÈ®j-†¢Ë/ ÅFo ÖØ√o®· 52. ¢Ë¢Á™ ¸ v°æù«-Réπ†’ ®Ω÷§Òç-Cç-*† Ææç´-ûªq®Ωç àC? 3)

1) 1944

2) 1945

3) 1946

4) 1940

53 1945

.

™ Æœ´÷x™ Å"© °æéπ~ Ææ´÷-¢Ë-¨»Eo à®√pô’- îË-ÆœçC á´®Ω’? 1) LØ˛-L-û˝íÓ 2) ¢Ë¢Á™ ¸ 3) ™«®˝f ´’¯çö¸-¶«-ôØ˛ 4) ¶®˝\-¢Ájö¸ 54. ´’çvA-vûªßª’ ®√ߪ’-¶«®Ωç ¶μ«®Ω-ûª-üË-¨»-EéÀ ´*a† Ææç´ûªq®Ωç àC? 1) 1942

2) 1945

3) 1944

4) 1946

55

. Æœ´÷x Ææ´÷-¢Ë-¨»-EéÀ Ç£æ…y†ç -©-Gμç-îª-E §ƒKd àC? 1) ߪ‚E-ߪ’-EÆˇd §ƒKd 2) ¶μ«®Ωûª ñ«Bߪ’ é¬çvÈíÆˇ 3) £œ«çü¿÷ ´’£æ…-Ææ¶μº 4) éπ´‚u-EÆˇd §ƒKd 56. 1945 ™ v°æüμΔE °æü¿N éÓ™p-®·† îªJa™¸ à §ƒKdéÀ îÁçC-†-¢√®Ω’? 1) ®√ߪ’-LÆˇd §ƒKd 2) éπ†b-Í®y-öÀ¢˛ §ƒKd 3) ™‰•®˝ §ƒKd 4) ߪ‚E-ߪ’-EÆˇd §ƒKd 57. éÀçC-¢√-J™ ´’çvA-vûªßª’ ®√ߪ’-¶«-®Ωç™ ™‰E ´uéÀh á´®Ω’? 1) ¶®˝\-¢Ájö¸ 2) véÀ°ˇq 3) á.N. Å™„-í¬bç-úø®˝ 4) °-C∑μé˙ ™«È®Ø˛q

-ï-¢√-•’-©’ 1-3

13-2

25-4

37-3

49-4

2-1

14-3

26-4

38-4

50-3

3-2

15-3

27-3

39-1

51-2

4-2

16-4

28-4

40-4

52-2

5-1

17-3

29-1

41-1

53-2

6-4

18-2

30-2

42-3

54-4

7-2

19-4

31-3

43-3

55-3

8-1

20-3

32-1

44-4

56-2

9-3

21-1

33-4

45-2

57-1.

10-1

22-2

34-4

46-3

11-4

23-2

35-1

47-3

12-2

24-2

36-2

48-3


6

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