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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. ΔˇÖsÏ˝ –ö˛$´ßÊ˛≈ øÙ˝ßÊ˛Ö 15 & 11 = 4 AÃÍVÛ¸ 81 AØÛ˛® 92. 25 AØÛ˛® 52 D ΔˇÖsÏ˝ –ö˛$´ßÊ˛≈ øÙ˝ßÊ˛Ö 9 & 5 = 4 Á‹–ö˛*´ßëØË˛Ö 25 A–ö˛#ô˲$Ö®. 8 : 64 :: 27 : &&&&&&&&& G) 512 º) 343 Ì‹) 729 yÏ˛) 216 Á‹–ö˛*´ßëØ˲Ö: yÏ˛ —–ö˛ΔÊˇ◊˝: 8 AØÛ˛® 23. 64 AØÛ˛® 43. 2 Mϸ ΔˇsÏ˝tÖÁ≥# 4. AÃÍVÛ¸ 27 AØÛ˛® 33 216 AØÛ˛® 63. 3Mϸ ΔˇsÏ˝tÖÁ≥# 6. M>∫sÏ˝t Á‹–ö˛*´ßëØË˛Ö 216 A–ö˛#ô˲$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®. –˛$$ô˲¢Ö R͉À$: 77 hÃÍœÀ–È» R͉À$: B®ÃͪÍßä˛ 2, øÊ˝{ßë{® 3, fWôÈ≈À 4, fØ˲V>Ö 3, fƒÊ˝$‘Ë˝ÖMʸΔäˇ 1, gZVʸ$ ÃÍÖ∫ 1, M>–ö˛*ΔˇyÏ˛z 3, Mʸ»ÖØ˲VʸΔäˇ 4, Q–ö˛$√Ö 4, Mˆ–ö˛$ΔÊˇÖ ¡Ö 1, –ö˛$Áfl˝∫*ªÍªÍßä˛ 2, –ö˛$Áfl˝∫*ªå˝ Ø˲VʸΔäˇ 3, –ö˛$Ö_Δ>≈À 3, –˛$ßÊ˛Mä¸ 2, –Û˛$yÊ˛aÃå˝& –ö˛$ÃÍPhW« 1, ØÈVʸΔäˇMʸΔÊˇ*≤À$ 1, Ø˲ÃüYÖyÊ˛ 6, ∞ΔÊˇ√Ãå˝ 2, ∞gÍ–ö˛*ªÍßä˛ 3, Ú≥ßÊ˛™Á≥Õœ 3, Δ>fØ˲≤ 2, ΔÊˇÖV>ΔˇyÏ˛z 2, Á‹ÖV>ΔˇyÏ˛z 3, Ì‹®™ı≥r 3, Á‹*Δ>≈ı≥r 2, —M>Δ>ªÍßä˛ 1, –ö˛Ø˲Á≥«¢ 1, –ö˛ΔÊˇÖVʸÃå˝ ΔÊˇ*ΔÊˇÃå˝ 4, –ö˛ΔÊˇÖVʸÃå˝ AΔÊˇæب˛ 4, ƒÊ˝*ßÊ˛W« øÊ˝$–ö˛Ø˲W« 3 –ö˛ƒÊ˝$Á‹$: BVʸÁ‹$t 31 ØÈsÏ˝Mϸ 25 Ø˲$Ö_ 35 H‚Ê˝œ –ö˛$´ßÊ˛≈ EÖyëÕ. AΔÊˇ·ô˲: Vʸ$«¢ÖÁ≥# ¥˜Ö®Ø˲ Á‹ÖÁ‹¶ Ø˲$Ö_ yÏ˛{X E°¢ ΔÊˇ$~ÃÒ˝O EÖyëÕ. ô˛À$Vʸ$, CÖXœãŸ øÍÁŸÀ$ ^˲ßÊ˛–ö˛yÊ˛Ö, Δ>ƒÊ˝$yÊ˛ÖÃZ {¥Î“◊˝≈Ö EÖyëÕ. Gã‹Úfl˝^¨˛h –˛$Ö∫ΔÊˇ$V> Mʸ±Á‹Ö BΔÊˇ$ Ø˛ÀÀ$ Á≥∞^Û˛Ì‹ EÖyëÕ. –Û˛ô˲Ø˲Ö: Ø˛ÀMʸ$ ΔÊˇ*.13,000 + GãúsÏ˝H MϸÖßÊ˛ ΔÊˇ*.3,500 + –˛Ìfl˝MϸÃå˝ AÀ–˛Ø¨˛fi MϸÖßÊ˛ ΔÊˇ*.700 C›Î¢ΔÊˇ$. {¥˜ªÒ˝ÁŸØ¨˛: BΔÊˇ$ Ø˛ÀÀ$ M>Ö{sÍMä¸t –ö˛≈–ö˛´®: AøÊ˝≈ΔÊˇ$¶À Á≥Δ>πΔˇ√ب˛fi B´ßëΔÊˇÖV> HsÍ M>Ö{sÍMʸ$t –ö˛≈–ö˛´®∞ Ú≥Ö^˲$ô˲$ÖsÍΔÊˇ$. GÖÌ≥Mʸ: Δ>ô˲ Á≥»Ñʸ, {Vʸ*ã≥ yÏ˛Á‹PÁŸØ¨˛ ßë”Δ> Δ>ô˲ Á≥»Ñʸ: AM¯t∫ΔÊˇ$ 8Ø˲ Á≥»Ñʸ MÛ¸Ö{ßÊ˛Ö: TSIPARD, Rajendranagar, Hyderabad.
Δ>ô˲ Á≥»Ñʸ —–ö˛Δ>À$: Á≥»Ñʸ Á‹–ö˛$ƒÊ˝$Ö VʸÖrØ˲≤ΔÊˇ. CÖßÊ˛$ÃZ 65 –ö˛*ΔÊˇ$PÀMʸ$ BªÒ˝jMϸt–í˛ sÒ˝Oã≥ {Á≥‘Ë˝≤À$, 10 –ö˛*ΔÊˇ$PÀMʸ$ yÏ˛{Ì‹PÌ≥t–í˛ sÒ˝Oã≥ {Á≥‘Ë˝≤À$, 5 –ö˛*ΔÊˇ$PÀMʸ$ M>Ö{Á≥Úfl˝Ø˲¤Ø¨˛ C›Î¢ΔÊˇ$. MÊ¸ΔˇÖså˝ AÚúOΔäˇfiá fØ˲ΔÊˇÃå˝ ØÈÃÒ˝yä˛j, fØ˲ΔÊˇÃå˝ CÖXœãŸ, AΔÊˇ¶–˛$sÏ˝Mä¸ á »f∞ÖVä¸, Gã‹Úfl˝^¨˛h á ÚúyÊ˛ΔÛˇÁŸØ¨˛fi, ªÙ˝Ì‹Mä¸ ØÈÃÒ˝yä˛j Bب˛ MʸÖÁ≥N≈rΔäˇfi Á‹Ö∫Ö´®ô˲ AÖ‘ÈÀØ˲$Ö_ {Á≥‘Ë˝≤À$ –ö˛›Î¢Δˇ$$. 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$$Ãå˝: faculty-recruitment@iitgoa.ac.in –˛ªå˝Ú‹Oså˝: www.iitgoa.ac.in/Faculty-rec.php
‘Ë˝∞–ÈΔÊˇÖ 9 Ú‹Ú≥tÖ∫ΔÊˇ$ 2017
Á‹tyÓ˛
BÖ{´ßÊ˛gZ≈Ü
15
øÍΔÊˇô¨˛ÃZ –˛$$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–˛$Őب˛ Ì‹) –˛∞VʸΔäˇ yÏ˛) Ú≥O–ö˛±≤ 12. ØÛ˛ÀÃZ Ø˲{ô˲f∞ ‘ÈôÈ∞≤ Ú≥Ö^Û˛ ªÍ≈MÓ¸t«ƒÊ˝* H®? G) ΔˇOgZºƒÊ˝$Ö º) Á‹*y¯–˛*ØÈã‹ Ì‹) ªÍÌ‹Àœã‹ ô˲$«ÖgÒ˝Ø˛Ì‹Ø¨˛ yÏ˛) C.M¯ÃÒ˝O 13. "Á‹*Á≥Δäˇ ∫Vä¸' A∞ Ì≥Õ^Û˛ ªÍ≈MÓ¸t«ƒÊ˝* H®? G) C.MˆÃÒ˝O º) Á‹*y¯–˛*ØÈã‹ Ì‹) ΔˇOgZºƒÊ˝$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—$sÒ˝yä˛(ºGã‹Gب˛GÃå˝)& "y˛OΔˇMä¸t l∞ƒÊ˝$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 ΔˇÖyÊ˛$ 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$, 50
G) VÛ¸ß˛ º) Vˆ{ΔˇÌ≥Àœ Ì‹) V>yÏ˛ßÊ˛ yÏ˛) HØ˲$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) ΔˇOgZºƒÊ˝$Ö Ô‹∞ƒÊ˝$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˝$, 19. i–ö˛MÓ¸rMʸ ØÈ’∞V> EÁ≥ƒÒ˝*VʸÁ≥yÛ˛ ªÍ≈MÓ¸t«ƒÊ˝*? ¥˘ÕƒÒ˝* G) ΔˇOgZºƒÊ˝$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˝aΔˇOgÙ˝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$$ã‹ ¥Î‘Ë˝aΔäˇ º) GyÊ˛”Δäˇz gÒ˝Ø˲≤Δäˇ ã‹&º –È≈Mϸfiب˛Ø˲$ H i—ÃZ Eô˲µÜ¢ ^Û˛Á‹$¢ØÈ≤ΔÊˇ$? Ì‹) AÃÒ˝V>jÖyÊ˛Δäˇ Úúœ—$ÖVä¸ yÏ˛) M¯^¨˛ G) ªÍ≈MÓ¸t«ƒÊ˝* º) –˛OΔÊˇã‹ Ì‹) Dã‹t yÏ˛) ‘˝O–ö˛ÀÖ 21. ΔˇsÏ˝ØÈÃå˝ ÃZ¥Î∞≤ ∞–È«Ö^Û˛ fØ˲$≈ –ö˛*«µyÏ˛ 33. KΔÊˇÃå˝ ¥˘ÕƒÒ˝* –È≈Mϸfiب˛Ø˲$ G–ö˛ΔÊˇ$ MʸØ˲$VˆØÈ≤ΔÊˇ$? –˛$$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˛ ΔˇOã‹ 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$$Ø˲ ^˲M¸PΔÊˇ Ì‹) ∫ƒÒ˝*M>ب˛ yÏ˛) ΔˇyÓ˛zã‹ ÃÍ≈ªå˝ Ì‹) fØ˲$≈ –ö˛*«µyÏ˛ –˛$$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˛$$ÀØ˲$ 38. ¥Î«{‘È—$MʸÖV> kØ˲$≤Ø˲$ Eô˲µÜ¢ ^Û˛ƒÊ˝$yë∞Mϸ H GÖgÒ˝O–í˛$Ø˲$ EÁ≥ƒÒ˝*W›Î¢ΔÊˇ$? H–ö˛$ÖsÍΔÊˇ$? G) ÃÒ˝Oı≥gå˝ º) Δˇ∞ب˛ Ì‹) ΔˇØ˛≤så˝ yÏ˛) Ú‹À$≈ÃÙ˝gå˝ G) ÃÒ˝OVÛ¸gå˝ º) ¥ÎÕ–ö˛$ΔÛˇgå˝ 39. "{¥˜ ∫ƒÒ˝*sÏ˝Mä¸fi' AÖsÙ˝? Ì‹) A◊˝$ Mʸô˛¢ΔÊˇÀ$ yÏ˛) V¸OΔÛˇgå˝ G) ‡∞MʸΔÊˇ ªÍ≈MÓ¸t«ƒÊ˝* º) –ö˛$Ö_ ªÍ≈MÓ¸t«ƒÊ˝* 26. øÍΔÊˇô¨˛ÃZ –˛$$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˝$$–ö˛#Ø˲$ Eô˲µÜ¢ ^Û˛ı‹®? G) —$£Ê˛Ø¯ M¯Mʸ㋠º) ΔˇOgZºƒÊ˝$Ö Ì‹) M>œ{Ô‹tyÏ˛ƒÊ˝$Ö yÏ˛) C.MˆÃÒ˝O 43. {Ú‹t¥˘t–˛$Őب˛Ø˲$ MʸØ˲$VˆØ˲≤ ‘È{Á‹¢–Û˛ô˲¢? G) AÃÒ˝V>jÖyÊ˛Δäˇ Úúœ—$ÖVä¸ º) –ÈMä¸fi–ö˛$ب˛ Ì‹) GyÊ˛”Δäˇz gÒ˝Ø˲≤Δäˇ yÏ˛) Á‹$ªÍæΔ>–ö˛# 44. Δ¯sÍ –˛OΔÊˇã‹ –È≈Mϸfiب˛ H –È≈´®∞ ∞–È«Á‹$¢Ö®? G) Vʸ–ö˛ßÊ˛ º‚Ê˝œÀ$ º) –ö˛$ÃÙ˝«ƒÊ˝* Ì‹) yÊ˛ƒÙ˝$«ƒÊ˝* yÏ˛) sÒ˝O∏ÎΔˇ$$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˝aΔˇOgÙ˝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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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.
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Changes in Cabinet Prabhu is now Commerce and Industry Minister. ❘ ❚Nitin Gadkari has been given additional charge of Water Resources.
New Faces in Cabinet
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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.
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❘ ❚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
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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.
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Ahmedabad on 1st September was formally accorded the status of
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11 MoUs between India and Myanmar Indian Prime Minister Narendra Modi visited Myanmar on 6th
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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
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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.
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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$¯]l… ^ólĶæ*Í.
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OòܯŒlÞ A…yŠl sñæM>²-Ëi A…Ô>Ë A«§ýlÅ-Ķæ$-¯]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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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…¨.
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Conjugate of a + ib = ? COMPLEX NUMBERS SENIOR INTER
B. LAXMINARAYANA M.Sc., B.Ed., Senior Math Faculty 9849386253 lnmathsir@gmail.com
MATHS - 2 A
08
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)
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ØË≠æ$™¸ éıØÁq™¸ Ç°∂ˇ áúø’uÍé≠æØ˛ KÂÆ®¸a Åçú˛ võ‰Eçí˚ (áØ˛ÆœÉÇ®¸öÀ)– võ„iØ˛f ví¬úø’ußË’ö¸ öÃ¸q §ÚÆˇd ví¬úø’ußË’ö¸ öÃ¸q §ÚÆæ’d© ¶µºKhéÀ ü¿®ºë«Ææ’h©’ éÓ®º’ûÓçC. ¢Á·ûªhç ë«S©’ : 54 §ÚÆˇdví¬úø’ußË’ö¸ öÃ¸q, ë«S©’ : 31 Æ涄bèπ◊d©¢√K ë«S©’ : £æ«ÙçÂÆjØ˛q1, Ö®º’l 1, äJߪ÷ 1, ÅvTéπ©a®¸ 1, •ßª÷©@ 3, ÈéN’vÆ‘d 3, 鬴’®¸ Ææ 1, ÉçUx≠ˇ 6, °∂jØ˛ Ç®¸fq 1, ñ«ví∫°∂æ 1, £œ«çD 2, £œ«dK 1, ¢Ë’ü∑˛q 3, °∂œ>é˙q 3, °∂œ>éπ™¸ áúø’uÍé≠æØ˛ 1, §ÒLöÀéπ™¸ ÂÆjØ˛q 1, áéπØ√N’é˙q 1 võ„iØ˛f ví¬úø’ußË’ö¸ öÃ¸q §ÚÆæ’d©’ ë«S©’ : 23 Æ涄bèπ◊d©¢√K ë«S©’ : £œ«çD 1, ÉçUx≠ˇ 1, ¢Ë’ü∑˛q 3, ÂÆjØ˛q 2, °∂œ>é˙q 1, •ßª÷©@ 2, ≤Ú≠晸 ÂÆjØ˛q 5, Ö®º’l 2, ÆæçÆæ\[û˝ 1, ´‚u>é˙ 1, í∫’ﮫA 1 °∂œ>éπ™¸ áúø’uÍé≠æØ˛ 1, éπç°æ‹uô®¸ ÂÆjØ˛q 1, éπ$oúø 1 Å®º|ûª : öÀ>öÀ §ÚÆæ’d©èπ◊ ÉçöÀvÍíõ„ú˛ úÕvU éÓ®º’q©’/ ví¬úø’ußË’≠æØ˛ úÕvU/ §ÚÆˇd ví¬úø’ußË’≠æØ˛ úÕvU °æ‹JhîËÆœ éÓ®¸q/ °œ>+éπç°æ‹uô®¸ °æJñ« —$ç Öçú≈L. ´ßª’Ææ’ : öÀ>öÀ©èπ◊ 35 à∞¡Ÿx. °œ>öÀ©èπ◊ 40 à∞¡Ÿx N’ç«ü¿’. áç°œéπ : Jõ„Ø˛ õ„Æˇd, °æ®ºq$™¸ Éçô®º÷yu üΔy®« ü¿®ºë«Ææ’hèπ◊ Çꮺ’ ûËC : ÂÆ°dç•®º’ 15 ¢Á¶¸ÂÆjö¸: www.ncert.nic.in
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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.
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∴
°ü¿l Ææçêu
(287 − 269)2 = (18)2 = 324
= 8
-úÁjÈ®éπd®˝, -Åéπ~®Ω Ææd-úŒ Ææ-J\-™¸
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.
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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
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3) 12
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x−y= 3 ⎯⎯⎯⎯ 16 2x = 16 ⇒ x = ⎯ = 8 2
ï¢√•’: 1
4) 4
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1) 1000
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8796
8796 (223 + 777) = 8796 (1000) = 8796000
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4) 324
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É°æ¤púø’ 鬕öÀd
(a + b)2 − (a − b)2 4ab ⎯⎯⎯⎯⎯⎯⎯⎯ = ⎯⎯ = 4 a×b ab
4) 268
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1) 3
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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
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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)
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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 =
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2
(489 + 375)2 − (489 − 375)2 7. ⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯ = (489 × 375)
1) 1
2) 2
3) 3
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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) öñ 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) Ũéπ îªvéπç 3) ûÁ-©’°æ¤- °æöÃd 4) Ωë« 41. Ö°æ¤p Ææû√u-ví∫£æ« é¬©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™ á™«çöÀ 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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