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REASONING FOR ALL COMPETITIVE EXAMS Statements and Assumptions S. LENIN BABU LECTURER IN MATHS GOVERNMENT POLYTECHNIC COLLEGE VIJAYAWADA. PH : 9985476035

Description : In Statements and Assumptions questions, given a statement took after by two/three assumptions numbered I, II and III. An assumption is something gathered or underestimated. Need to consider the statement and the accompanying presumptions and choose which of the assumptions is understood in the statement. While doing problems on statementassumptions one should peruse every statement deliberately and at whatever point find anything presupposed or underesti-

mated, promptly see it. Misreading of a few certainties prompts mistaken answer. So while understanding one ought to be conscious about words in light of the fact that occasionally a single word s nearness or absence changes the whole importance of a sentence. Assumption: A assumption is something which is expected, assumed and underestimated. When somebody says something he may not put each part of his thought. That which is left inferred or underestimated is called an assumption. Format of the problem: Directions: In every question underneath a statement(or a section) is followed by two/three assumptions numbered I and II/III. Need to consider the announcement and the accompanying assumptions and afterwards choose which of the assumptions is certain in the announcement.

General Mental Ability - Model Problems Model 1: Statement: Purchase pure and natural pearls of organization `X an advertisement. Assumptions: I: Artificial pearls can be prepared. II: People wouldn t mind paying more for pure and natural pearls. Directions: The question given above consists a statement followed by two assumptions numbered I and II. Consider the statement and decide which of the given assumptions is implicit. Given options: a) if only assumption I is connected. b) if only assumption II is connected. c) if either assumption I or assumption II is connected. d) if neither of the assumptions is connected. e) if both the assumptions are connected. Solution: Given that: Purchase pure and natural pearls of organization `X an advertisement. From the given statement, the commercial tells that the pearls of organization X is common, this implies artificial pearls might be accessible in the business sector. So assumption I is connected. However, the notice informs nothing concerning the cost of the pearls. So II can t be certain.

Therefore, correct answer is (a). Model 2: Statement: Put a notification on the board that every one of the workers should go ahead time to office - An officer tells his assistant. Assumptions: I: All employees come late. II: Employees read such notice on the Board. III. Employees will follow the instructions Directions: The question given above consists a statement followed by three assumptions numbered I , II and III. Consider the statement and decide which of the given assumptions is implicit. Given options: (a) Only I and II are implicit. (b) Only III is implicit (c) Only I and III are implicit (d) Only II and III are implicit (e) All are implicit. Solution: Given that: Put a notification on the board that every one of the workers should go ahead time to office - An officer tells his assistant. It is clear that, the statement does not

Given answers: (a) if only assumption I is implicit. (b) if only assumption II is implicit. (c) if either assumption I or assumption II is implicit. (d) if neither of the assumptions is implicit. (e) if both the assumptions are implicit. Difference between assumption and implication: A assumption is something on which the statement is based, while implication is something which is gotten from and in this way based upon the statement. Tips for easy answering: 1. There might be more than one valid imply that every one of the workers come late. Some of them might be coming late. Therefore assumption I is not verifiable. The officer arranges his assistant to put a notification on the notification board in light of the fact that the representatives read the notification generally putting a notification has no rele-

vance. Likewise he expect that the workers will take after the instructions. Therefore, the assumptions II and III are verifiable in the announcement. Hence, option (d) is correct choice. Model 3: Statement: Pollution is a moderate toxin, and in this manner social researchers and the media must cooperate to make sensitivity among individuals. Assumptions: I: Media is very much educated and mindful about the impacts of contamination. II: Media is liable to impact individuals to raise their sensitivity towards different issues. Directions: The question given above consists a statement followed by two assumptions numbered I and II. Consider the statement and decide which of the

assumption for a statement. In all cases they are not fundamentally unrelated. So in the event that you find that both the assumptions are valid mark the answer both are understood . The answer choice Possibly I or II is understood is to be checked just when one assumption rejects the other. given assumptions is implicit. Given options: a) if only assumption I is implicit. b) if only assumption II is implicit. c) if either assumption I or assumption II is implicit. d) if neither of the assumptions is implicit. e) if both the assumptions are implicit. Solution: Given statement: Pollution is a moderate toxin, and in this manner social researchers and the media must cooperate to make sensitivity among individuals. In the event that media is not ready to impact individuals to raise their sensitivity towards different issues, including contamination issue, the media would not have been encouraged to do as such. Therefore, assumption II is implicit. The reality of the matter is that media is very much impacted about the impacts of pollution . In any case, it is not clear whether it knows about the impacts of contamination or not. Therefore, correct answer is option(b). Model 4: Statement: Z TV, the main TV which gives the viewers opportunity to watch two programmes at the same time an advertisement. Assumptions: I. Sale of Z-TV may increase because of

This case happens just once in a while. So be cautious before denoting this choice. 2. In questions with more than two assumptions its combinations like I and II are implicit, II and III are certain, I and III are understood and so on are given as answer options. If sure that presumption III is not understood, can eliminate with answer decisions which contains III in this manner reducing the quantity of answer decisions. At that point choose answer from the remaining options. 3. If the given assumption is only in opposition to the given statement or if it is not associated with the given statement then the assumption can be promptly dismisses. At times the presumption is a restatement of the given statement. The candidate should be cautious in assessing this sort of assumptions. the advertisement . II. Some people may be influenced by the advertisement and buy Z-TV. III. The sale of Z.TV may be on the downward trend. Directions: The question given above consists a statement followed by three assumptions numbered I , II and III. Consider the statement and decide which of the given assumptions is implicit. Given options: (a) Only I and II are implicit. (b) Only III is implicit (c) Only I and III are implicit (d) Only II and III are implicit (e) All are implicit. Solution: Given statement: Z TV, the main TV which gives the viewers opportunity to watch two programmes at the same time an advertisement. It is highlighted in the advertisement that the facility of watching two programmes all the while is given by the Z-T.V just a few persons might be affected by this unique facility and therefore the sale may increment. The advertisement highlighting one of a kind facility does not imply that there is a descending trend in the sale of Z-TV. Therefore, just assumptions I and II are verifiable. Hence, option(c) is the right choice.

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—fƒÊ˝$–ÈyÊ˛ ∑ ‘Ë˝ì{MÊ¸–ÈΔÊˇÖ 2 ØË˛–ö˛Ö∫ΔÊˇ$ 2018

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—ßÊ˛$≈ô¨˛ —∞-ƒÒ˝*VÊ¸Ö ôË˛WYÖ^Û˛ ∫À$æ-À$..? yÓ˛GÔ‹ﬁ AøÊ˝≈ΔÊˇ$¶À$ øõÜMÊ¸‘ÈÁ‹àÖÃZ —ßÊ˛$≈‘Ë˝aMÏ¸¢ A´ßë≈ƒÊ˝$Ö VÊ¸$«Ö_ –ö˛$$Q≈ÖV> ^Ë˛ßÊ˛$–ö˛# M¯–ÈÕ. CÖßÊ˛$ÃZ∞ Á‹*{ôÈÀØË˛$ VÊ¸$ΔÊˇ$¢Ú≥r$t MÊ¸$ÖsÙ˝ GMÊ¸$P–ö˛ ›˘PΔÊˇ$ ›Î´®Ö^Ë˛yë∞MÏ¸ A–ö˛M>‘Ë˝Ö EÖr$Ö®. Á≥»ÑÊ¸ÃZ C^Û˛a Mˆ∞≤ {Á≥‘Ë˝≤ÀMÊ¸$ Á‹$ÀøÊ˝ÖV> Á‹–ö˛*´ßëØË˛Ö VÊ¸$«¢Ö^Û˛ “À$Ör$Ö®. —ßÊ˛$≈ô¨˛MÊ¸$ Á‹Ö∫Ö´®Ö_ØË˛ Gã‹I {Á≥–ö˛*◊ÍÀ$, K–í˛$ ∞ƒÊ˝$–ö˛$Ö, —ßÊ˛$≈ô¨˛ –ÈÁﬂ˝M>À —–ö˛Δ>À$ ô˛À$Á‹$M¯–ÈÕ. {‘Û˝◊Ï˝ á Á‹–ö˛*ÖôË˛ΔÊˇ Á‹Ö´ßëØË˛Ö Á‹*{ôÈÀØË˛$ VÊ¸$ΔÊˇ$¢Ö^Ë˛$ M¯–ÈÕ. D AÖ‘ÈÀô¯¥Îr$ —ßÊ˛$≈ô¨˛ B–Û˛ ‘ÈÀ$, —ßÊ˛$≈ô¨˛ ∞Δ¯´ßÊ˛Ö, KÃÙ˝tgå˝, HÔ‹, yÓ˛Ô‹ Á‹–ö˛*^ÈΔ>∞≤ —–ö˛ΔÊˇÖV> ô˛À$Á‹$MÊ¸$ÖßëÖ....

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—ßÊ˛$≈ô¨˛ AØÛ˛® JMÊ¸ ‘Ë˝MÏ¸¢ Á‹”ΔÊˇ*Á≥Ö. C® B–Û˛‘ÈÀ –ö˛Àœ f∞Á‹$¢Ö®. B–Û˛‘È∞≤ q AØÛ˛ AÑÊ¸ΔÊˇÖô¯ Á‹*_›Î¢ΔÊˇ$. B–Û˛‘È∞MÏ¸ {Á≥–ö˛*◊˝Ö "MÊ¸*À*Öªå˝' GÀM>âØ¨˛ B–Û˛‘Ë˝Ö (e) = 1.602 x 10&19 MÊ¸*À*Öªå˝ﬁ B–Û˛‘ÈÃZœ ΔˇÖyÊ˛$ ΔÊˇM>À$ EÖsÍΔˇ$$. A— ´ßÊ˛ØÈ–Û˛‘Ë˝Ö ΔÊˇ$◊Í–Û˛‘Ë˝Ö B–Û˛‘È∞≤ ΔˇÖyÊ˛$ ΔÊˇM>À$V> –ö˛»YMÊ¸«Ö_ØË˛ ‘ÈÁ‹à–Û˛ôË˛¢ ªÒ˝Öf–ö˛$Ø¨˛ {∏ÎÖMÏ¸œØ¨˛ Á‹gÍÜ B–Û˛‘ÈÀ$ —MÊ¸«¤Ö^Ë˛$MÊ¸$ÖsÍΔˇ$$. —gÍÜ B–Û˛‘ÈÀ$ BMÊ¸«¤Ö^Ë˛$MÊ¸$ÖsÍΔˇ$$. ●

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—ßÊ˛$≈ô¨˛ ΔÊˇM>À$ —ßÊ˛$≈ô¨˛ØË˛$ {Á≥´ßëØË˛ÖV> ΔˇÖyÊ˛$ ΔÊˇM>À$V> –ö˛»YMÊ¸«Ö^ÈΔÊˇ$. Ì‹¶ΔÊˇ ÃÙ˝ßë ›Î¶–ö˛ΔÊˇ —ßÊ˛$≈ô¨˛ {Á≥–ÈÁfl˝ —ßÊ˛$≈ô¨˛ Ì‹¶ΔÊˇ —ßÊ˛$≈ô¨˛ ✦ JMÊ¸ –ö˛Á‹$¢–ö˛# EÁ≥«ôË˛ÀÖÚ≥O Ì‹¶ΔÊˇÖV> EØË˛≤ B–Û˛‘ÈÀ –ö˛Àœ HΔÊˇµyÛ˛ —ßÊ˛$≈ô¨˛ØÛ˛ Ì‹¶ΔÊˇ —ßÊ˛$≈ô¨˛ AÖsÍΔÊˇ$. {Á≥–ÈÁfl˝ —ßÊ˛$≈ô¨˛ ✦ {Á≥–ÈÁfl˝ —ßÊ˛$≈ô¨˛ i = {Á≥–ö˛Ìfl˝Á‹$¢ØË˛≤ B–Û˛‘ÈÀ Á‹ÖQ≈/ Á≥sÏ˝tØË˛ Á‹–ö˛$ƒÊ˝$Ö = q/t ✦ ©∞ {Á≥–ö˛*◊˝Ö "BÖÌ≥ƒÊ˝$Δäˇfi' 1 BÖÌ≥ƒÊ˝$Δäˇ = 1 MÊ¸*À$Öªå˝ / 1 Ú‹MÊ¸Ø¨˛ ✦ {Á≥–ÈÁfl˝ —ßÊ˛$≈ô¨˛ØË˛$ ΔˇÖyÊ˛$ ΔÊˇM>À$V> –ö˛»YMÊ¸«›Î¢ΔÊˇ$ HM>ÖôË˛ΔÊˇ —ßÊ˛$≈ô¨˛ HMÊ¸ –ö˛$$Q —ßÊ˛$≈ô¨˛ ✦ HM>ÖôË˛ΔÊˇ —ßÊ˛$≈ô¨˛ (HÔ‹)ØË˛$ VÊ¸ñ‡À$, Á≥«{‘Ë˝–ö˛$À$, –ö˛≈–ö˛›ÎƒÊ˝$ÖÃZØË˛$, ΔˇO‚Ê˝ìœ ØË˛yÊ˛Á≥yë∞MÏ¸ EÁ≥ƒÒ˝*W›Î¢ΔÊˇ$.

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fÖV> –ö˛Ö÷ MÊ¸ñÁŸ~ Á‹ªÒ˝jMÊ¸$t ∞Á≥#◊˝$À$

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yÓ˛GÔ‹ﬁ -{Á≥-ôÛ˛≈-MÊ¸Ö Force)

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{Á≥–ö˛*◊˝ ´ßÊ˛ØÈ–Û˛‘È∞≤ A ØË˛$Ö_ B MÊ¸$ l ßÊ˛*ΔÊˇÖÃZ MÊ¸®ÕÖ^Û˛ÖßÊ˛$MÊ¸$ —ßÊ˛$≈ô¨˛ ∫ÀÖ ^Û˛Ì‹ØË˛ Á≥∞∞ A, B À –ö˛$´ßÊ˛≈ ¥˜sÒ˝∞¤ƒÊ˝$Ãå˝ øÙ˝ßÊ˛Ö AÖsÍΔÊˇ$. ¥˜sÒ˝∞¤ƒÊ˝$Ãå˝ øÙ˝ßë∞≤ "KÃÙ˝tgå˝' A∞ MÊ¸*yë AÖsÍΔÊˇ$. ©∞ SI {Á≥–ö˛*◊˝Ö "KÃå˝t' 1 KÃå˝t = 1 goÃå˝ / 1 MÊ¸*À*Öªå˝ –ö˛$ØË˛ßÛ˛‘Ë˝ÖÃZ VÊ¸ñÁfl˝ A–ö˛Á‹Δ>À M¯Á‹Ö EÁ≥ƒÒ˝*WÖ^Û˛ —ßÊ˛$≈ô¨˛ØË˛$ 220 V –ö˛ßÊ˛™ Á‹ΔÊˇÁúΔ> ^Û˛›Î¢ΔÊˇ$. D KÃÙ˝tgå˝ –ö˛ßÊ˛™ VÊ¸ñÁfl˝ —ßÊ˛$≈ô¨˛ Á≥«MÊ¸Δ>À$ A±≤ Á≥∞^Û˛›Î¢Δˇ$$. D KÃÙ˝tgå˝∞ Ì‹¶»MÊ¸«Ö^Û˛ÖßÊ˛$MÊ¸$ STABILIZER AØÛ˛ ›Î´ßÊ˛ØÈ∞≤ EÁ≥ƒÒ˝*W›Î¢ΔÊˇ$. B–Û˛‘ÈÀ Á‹ÖQ≈ Ú≥«WØË˛rœΔˇ$$ôÛ˛ —ßÊ˛$≈ô¨˛ ¥˜sÒ˝∞¤ƒÊ˝$Ãå˝ MÊ¸*yë Ú≥ΔÊˇ$VÊ¸$ôË˛$Ö® ´ßÊ˛ØÈ–Û˛‘ÈÀ$ GÁ≥#µyÊ˛* A´®MÊ¸ ¥˜sÒ˝∞¤ƒÊ˝$Ãå˝ ØË˛$Ö_ AÀµ ¥˜sÒ˝∞¤ƒÊ˝$Ãå˝ –˛OÁ≥#ØË˛MÊ¸$ {Á≥–ö˛Ìfl˝Á‹$¢ÖsÍΔˇ$$. D ´ßÊ˛ØÈ–Û˛‘ÈÀ$ {Á≥–ö˛Ìfl˝Á‹$¢ØË˛≤ ®‘Ë˝ØË˛$ —ßÊ˛$≈ô¨˛ {Á≥–ÈÁfl˝ ®‘Ë˝V> °Á‹$MˆÖsÍΔÊˇ$.

—ßÊ˛$≈ô¨˛ ^ÈaÀMÊ¸ ∫ÀÖ ❖

5. 6. 7. 8.

JMÊ¸ {Á≥–ö˛*◊˝ ´ßÊ˛ØË˛ —ßÊ˛$≈ßë–Û˛‘È∞≤ ΔÊˇ$◊˝ ´ßÊ˛ñ–ö˛Ö ØË˛$Ö_ ´ßÊ˛ØË˛ ´ßÊ˛ñ–ö˛Ö –˛OÁ≥#ØË˛MÊ¸$ MÊ¸®ÕÖ^Û˛ÖßÊ˛$MÊ¸$ ΔÊˇ›ÎƒÊ˝$ØË˛ ∫ÀÖ ^Û˛ı‹ Á≥∞∞ —ßÊ˛$≈^ÈaÀMÊ¸ ∫ÀÖ (Electro Motive

AÖsÍΔÊˇ$.

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K–í˛$ ∞ƒÊ˝$–ö˛$Ö ★

★

Ì‹¶ΔÊˇ E⁄˘~{VÊ¸ôË˛ –ö˛ßÊ˛™ –ÈÁfl˝MÊ¸Ö ΔˇÖyÊ˛$ _–ö˛ΔÊˇÀ –ö˛$´ßÊ˛≈ EÖyÛ˛ ¥˜sÒ˝∞¤ƒÊ˝$Ãå˝ øÙ˝ßÊ˛Ö, –ÈÁfl˝MÊ¸Ö ßë”Δ> {Á≥–ö˛Ìfl˝Ö^Û˛ —ßÊ˛$≈ô¨˛ {Á≥–È‡∞MÏ¸ AØË˛$ÃZ–ö˛*ØË˛$¥ÎôË˛ÖÃZ EÖr$Ö®. V α I => V = IR

—ßÊ˛$≈ô¨˛ ∞Δ¯´ßÊ˛Ö ✦ ✦ ✦

–ÈÁﬂ˝MÊ¸ÖÃZ GÀM>âØË˛œ ^Ë˛ÀØÈ∞MÏ¸ MÊ¸ÕWÖ^Û˛ BrÖMÊ¸ÖV> –ÈÁﬂ˝MÊ¸ ∞Δ¯´ßë∞≤ ∞ΔÊˇ”_Ö^Ë˛–ö˛^Ë˛$a. ∞Δ¯´ßë∞MÏ¸ {Á≥–ö˛*◊˝Ö "K–í˛$ (�)' –ö˛$ØË˛ ‘Ë˝»ΔÊˇ ∞Δ¯´ßÊ˛Ö —À$–ö˛ ›Î´ßëΔÊˇ◊˝ÖV> 100 K–í˛$À ØË˛$Ö_ 5 ÀÑÊ¸À K–í˛$À –ö˛ΔÊˇMÊ¸$ EÖr$Ö®.

{‘Û˝◊Ï˝ Á‹Ö´ßëØË˛Ö ★ ★ ★

JMÊ¸ °VÊ¸ ΔˇÖy¯ _–ö˛ΔÊˇØË˛$ ôË˛ΔÊˇ–ÈÜ °VÊ¸ –˛$$ßÊ˛sÏ˝ _–ö˛ΔÊˇMÊ¸$ MÊ¸À$Á≥# Á≥ßÊ˛ÆÜ∞ {‘Û˝◊Ï˝ Á‹Ö´ßëØË˛Ö AÖsÍΔÊˇ$. R = R1+ R2+ R3+ -------

{‘Û˝◊Ï˝ Á‹Ö´ßëØË˛Ö –ö˛Àœ ÁúÕôË˛ ∞Δ¯´ßÊ˛Ö Ú≥«W —ßÊ˛$≈ô¨˛ {Á≥–ÈÁﬂ˝Ö ôË˛VÊ¸$YôË˛$Ö®.

Á‹–ö˛*ÖôË˛ΔÊˇ Á‹Ö´ßëØË˛Ö ✱

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C_aØË˛ °VÊ¸À –˛$$ßÊ˛sÏ˝ _–ö˛ΔÊˇÀØË˛$ JMÊ¸ ºÖßÊ˛$–ö˛#MÊ¸$ B °VÊ¸ ΔˇÖy¯ _–ö˛ΔÊˇÀØË˛$ –ö˛$Δ¯ ºÖßÊ˛$–ö˛#MÊ¸$ MÊ¸À$Á≥# Á≥ßÊ˛ÆÜ∞ Á‹–ö˛*ÖôË˛ΔÊˇ Á‹Ö´ßëØË˛Ö AÖsÍΔÊˇ$. 1/R = 1/ R1 + 1/R2 + 1/ R3 + --------

Ì‹) Ô‹tÚúØ¨˛ ‡Ãå˝fi yÏ˛) CÖfØ¨˛ Áflogå˝ G) {‘Û˝◊Ï˝ º) Á‹–ö˛*ÖôË˛ΔÊˇ —ßÊ˛$≈ô¨˛ fØË˛ΔÛˇrΔäˇØË˛$ MÊ¸ØË˛$VˆØË˛≤–ÈΔÊˇ$? Ì‹) ΔˇÖyÊ˛* yÏ˛) H© M>ßÊ˛$ G) BΔˇ$$ΔäˇÁ‹tyä˛ º) £ë–ö˛$ã‹ AÃÍ” GyÏ˛Á‹Ø¨˛ 10. Á‹ΔˇOØË˛ fôË˛ØË˛$ Á‹*_Ö^Ë˛ÖyÏ˛ Ì‹) V>ÃÍ”∞ yÏ˛) –˛$OMÛ¸Ãå˝ ∏ÎΔÊˇyÛ˛ 1. —ßÊ˛$≈ßë–Û˛‘Ë˝Ö G. –˛*/“$rΔäˇ A–˛$«M>ÃZ øÍ» ›Î¶Δˇ$$ —ßÊ˛$≈ô¨˛ EôË˛µÜ¢ MÛ¸Ö{ßÊ˛M>∞≤ 2. —ßÊ˛$≈ô¨˛ ›Î–ö˛$ΔÊˇ¶≈Ö º. KÃå˝t & BÖÌ≥ƒÊ˝$Δäˇ ›Î¶Ì≥Ö_ØË˛–ÈΔÊˇ$? 3. —’ÁŸt ∞Δ¯´ßÊ˛Ö Ì‹. MÊ¸*À*Öªå˝ G) À*X V>ÃÍ”∞ º) –˛$OMÛ¸Ãå˝ ¥ÎΔÊˇyÛ˛ 4. –ÈÁfl˝MÊ¸ôË˛”Ö yÏ˛. K–í˛$ & “$rΔäˇ Ì‹)IØ¨˛Ô‹tØ¨˛ yÏ˛) £ë–ö˛$ã‹ AÃÍ” GyÏ˛Á‹Ø¨˛ 5. —ßÊ˛$≈ô¨˛ {Á≥–ÈÁfl˝Ö C. BÖÌ≥ƒÊ˝$Δäˇ JMÊ¸ MÏ¸ÃZ–Èså˝MÊ¸$ Á‹–ö˛*ØË˛–˛$OØË˛ –Èr$œ? G) 1&G, 2&º, 3&Ì‹, 4&yÏ˛, 5&C G) 10 º) 100 Ì‹) 1000 yÏ˛) 10,000 º) 1&Ì‹, 2&º, 3&yÏ˛, 4&G, 5&C 50 K–í˛$À ∞Δ¯´ßÊ˛Ö VÊ¸À HMÊ¸ »Ü ∞Δ¯´ßë∞≤ 5 Á‹–ö˛$ Ì‹) 1&C, 2&G, 3&yÏ˛, 4&º, 5&Ì‹ øÍV>À$V> —øÊ˝hÖ^ÈΔÊˇ$. “sÏ˝∞ Á‹–ö˛*ÖôË˛ΔÊˇÖV> yÏ˛) 1&G, 2&Ì‹, 3&º, 4&yÏ˛, 5&G MÊ¸ÕÌ≥ôÛ˛ ÁúÕôË˛ ∞Δ¯´ßÊ˛Ö? G) 2 K–í˛$ º) 12 K–í˛$ Á‹–ö˛*´ßëØÈÀ$ Ì‹) 250 K–í˛$ yÏ˛) 6250 K–í˛$ –ö˛ÀƒÊ˝$ÖÃZ A“$√rΔäˇØË˛$ GÁ≥#µyÊ˛* H Á‹Ö´ßëØË˛ÖÃZ 1) yÏ˛ 3) G 5) yÏ˛ 7) Ì‹ 9) G 2) º 4) º 6) yÏ˛ 8) G 10) º MÊ¸À$Á≥#ôÈΔÊˇ$?

–ö˛*®« {Á≥‘Ë˝≤: 100 W, 220 V ; 60 W, 220 V VÊ¸À ΔˇÖyÊ˛$ ∫À$æÀ$ EØÈ≤Δˇ$$. ßÛ˛∞ ∞Δ¯´ßÊ˛Ö GMÊ¸$P–ö˛? Á‹–ö˛*´ßëØË˛Ö: Á‹*{ôË˛Ö : P = V2 / R => R = V2 / P –˛$$ßÊ˛sÏ˝ ∫À$æ ∞Δ¯´ßÊ˛Ö: (220 x 220) / 100 = 484 K–í˛$ﬁ ΔˇÖy¯ ∫À$æ ∞Δ¯´ßÊ˛Ö: (220 x 220) / 60 = 806.6 K–í˛$ﬁ –˛$$ßÊ˛sÏ˝ ∫À$æ MÊ¸ÖsÙ˝ ΔˇÖy¯ ∫À$æ ∞Δ¯´ßÊ˛Ö GMÊ¸$P–ö˛

{Á≥‘Ë˝≤À$ & Á‹–ö˛*´ßëØÈÀ$

ÌúhMä¸ﬁ

—ßÊ˛$≈ô¨˛ ¥˜sÒ˝∞¤ƒÊ˝$Ãå˝

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●

HMÊ¸ –ö˛$$Q —ßÊ˛$≈ô¨˛ (yÓ˛Ô‹)ØË˛$ ªÍ≈r»À ØË˛$Ö_ ¥˜ÖßÊ˛–ö˛^Ë˛$a HÔ‹∞ yÓ˛Ô‹V> –ö˛*ΔÛˇa Á≥«MÊ¸ΔÊˇÖ "ΔˇMÏ¸tÁúƒÊ˝$Δäˇ' CØË˛”ΔÊˇtΔäˇÃZ yÓ˛Ô‹ AØÛ˛® HÔ‹ V> –ö˛*ΔÊˇ$ôË˛$Ö®.

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{Á≥‘Ë˝≤: VÊ¸ñ‡ÃZœ EÁ≥ƒÒ˝*WÖ^Û˛ —ßÊ˛$≈ô¨˛ Á≥«MÊ¸Δ>ÀØË˛$ GÖßÊ˛$MÊ¸$ {‘Û˝◊Ï˝ÃZ MÊ¸ÀÁ≥Ö? Á‹–ö˛*´ßëØË˛Ö: {‘Û˝◊Ï˝ Á‹Ö´ßëØË˛ÖÃZ —ßÊ˛$≈ô¨˛ Á≥«MÊ¸Δ>ÀØË˛$ MÊ¸ÕÌ≥ØË˛Á≥#yÊ˛$ Hß˛OØÈ JMÊ¸ Á≥«MÊ¸ΔÊˇÖ Á≥∞^Û˛ƒÊ˝$MÊ¸¥˘ôÛ˛ A∞≤ Á≥«MÊ¸Δ>ÀMÊ¸$ —ßÊ˛$≈ô¨˛ Á‹ΔÊˇÁúΔ> M>ßÊ˛$. {Á≥‘Ë˝≤: M>ΔÊˇ$ Úfl˝yä˛ÃÒ˝Oså˝fi∞ {‘Û˝◊Ï˝ÃZ MÊ¸À$Á≥#ôÈΔ> ÃÙ˝MÊ¸ Á‹–ö˛*ÖôË˛ΔÊˇÖV> MÊ¸À$Á≥#ôÈΔ>? GÖßÊ˛$MÊ¸$ Á‹–ö˛*´ßëØË˛Ö: M>ΔÊˇ$ Úfl˝yä˛ÃÒ˝Oså˝fi∞ GÁ≥#µyÊ˛* Á‹–ö˛*ÖôË˛ΔÊˇÖV>ØÛ˛ MÊ¸À$Á≥#ôÈΔÊˇ$. –ö˛ÀƒÊ˝$ÖÃZ Hß˛OØÈ ∫À$æ Á≥∞^Û˛ƒÊ˝$MÊ¸ ¥˘Δˇ$$ØÈ —$WÕØË˛ ∫À$æÃZœMÏ¸ —ßÊ˛$≈ô¨˛ Á‹ΔÊˇÁúΔ> A–ö˛#ôË˛$Ö®. {Á≥‘Ë˝≤: C‚Ê˝œÃZ EÖyÛ˛ —ßÊ˛$≈ô¨˛ –ö˛ÀƒÊ˝$ÖÃZ Á≥N≈gå˝∞ H Á‹Ö´ßëØË˛ÖÃZ MÊ¸À$Á≥#ôÈΔÊˇ$? Á‹–ö˛*´ßëØË˛Ö: {‘Û˝◊Ï˝ÃZ MÊ¸À$Á≥#ôÈΔÊˇ$. Á≥N≈gå˝ØË˛$ {‘Û˝◊Ï˝ÃZ MÊ¸ÀÁ≥yÊ˛Ö –ö˛ÀØË˛ C‚Ê˝œÃZ –ÈyëÕfiØË˛ VÊ¸«ÁŸt —ßÊ˛$≈ô¨˛ A–ö˛´® ßësÏ˝ôÛ˛ ÁúN≈gå˝ MÊ¸«W¥˘ôË˛$Ö®. —ßÊ˛$≈ô¨˛ –ö˛ÀƒÊ˝$Ö ô˛W¥˘ôË˛$Ö®. M>∫sÏ˝t ©∞ ßë”Δ> —ßÊ˛$≈ô¨˛ {Á≥–ö˛ Ìfl˝Ö^Ë˛ßÊ˛$. "K–ö˛ΔäˇÃZyä˛' ØË˛$Ö_ ΔÊˇÑÊ¸◊˝ À¿Á‹$¢Ö®.

gÍªå˝ M>ΔÊˇ≤Δäˇ sÒ˝MÏ¸≤MÊ¸Ãå˝ BÔúÁ‹ΔÊˇ$œ, MÊ¸ØË˛fiÃÒ˝tÖr$œ ÚflO˝ßÊ˛Δ>ªÍßä˛ÃZ∞ GÀM>â∞Mä¸fi M>ΔˆµΔÛˇÁŸØ¨˛ Bãú CÖyÏ˛ƒÊ˝* Õ—$sÒ˝yä˛ (CÌ‹IGÃå˝) JÁ≥µÖßÊ˛ {¥ÎÜÁ≥®MÊ¸ØË˛ MÏ¸Ö® Eß¯≈V>À øÊ˝»¢MÏ¸ CÖrΔÊˇ*”≈À$ ∞ΔÊˇ”Ìfl˝›˘¢Ö® ❖ –˛$$ôË˛¢Ö RÍ‰À$: 400 ❖ Eß¯≈V>À–È» RÍ‰À$: l∞ƒÊ˝$Δäˇ sÒ˝MÏ¸≤MÊ¸Ãå˝ BÔú Á‹ΔÊˇ$œ 210, l∞ƒÊ˝$Δäˇ MÊ¸ØË˛fiÃÒ˝tÖr$œ (ÔúÃå˝z BÁ≥ΔÛˇÁŸØ¨˛fi) 190 ❖ gZØË˛œ–È» l. sÒ˝MÏ¸≤MÊ¸Ãå˝ BÔúÁ‹ΔÊˇœ RÍ‰À$: ØË˛*≈…Ï˛Œœ 100, ªÒ˝ÖVÊ¸‚Ê˝îΔÊˇ$ 35, –ö˛$$ÖªÒ˝O 25, M¯Ãå˝MÊ¸ôÈ 50 ❖ gZØË˛œ–È» l. MÊ¸ØË˛fiÃÒ˝tÖrœ RÍ‰À$: ØË˛*≈…Ï˛Œœ 25, ªÒ˝ÖVÊ¸‚Ê˝îΔÊˇ$ 40, –ö˛$$ÖªÒ˝O 50, M¯Ãå˝MÊ¸ôÈ 75 ❖ AΔÊˇ·ôË˛: l. sÒ˝MÏ¸≤MÊ¸Ãå˝ BÔúÁ‹ΔÊˇœMÊ¸$ –˛$$ßÊ˛sÏ˝ {‘Û˝◊Ï˝ –ö˛*ΔÊˇ$PÀô¯ ºD/ ΩsÒ˝Mä¸(GÀM>â∞Mä¸fi á MÊ¸–ö˛$*≈∞ MÛ¸ÁŸØ¨˛/ –˛$M>∞MÊ¸Ãå˝/ GÀM>â∞Mä¸fi/ CØ¨˛Á‹$â–˛$ÖsÙ˝ÁŸØ¨˛/ GÀMÏ¸âMÊ¸Ãå˝ á GÀM>â∞Mä¸fi/ MÊ¸ÖÁ≥N≈rΔäˇ Ú‹OØ¨˛fi á CØË˛π ΔÛˇ√ÁŸØ¨˛ sÒ˝M>≤Ài) E°¢ΔÊˇ$~ÃÒ˝O EÖyëÕ. l.MÊ¸ØË˛fi ÃÒ˝tÖrœMÊ¸$ ΔˇÖyÛ˛‚Ê˝œ IsÓ˝I (GÀM>â∞Mä¸ –˛$M>∞Mä¸/ BΔäˇ á sÓ˝“/ GÀMÏ¸âMÊ¸Ãå˝/ ÌúrtΔäˇ) Á≥N«¢^Û˛Ì‹ EÖyëÕ. ❖ –ö˛ƒÊ˝$Á‹$: Ú‹Ú≥tÖ∫ΔÊˇ$ 30 ØÈsÏ˝MÏ¸ l. sÒ˝MÏ¸≤MÊ¸Ãå˝ BÔú Á‹ΔÊˇœMÊ¸$ 30 H‚Ê˝ìœ, l. MÊ¸ØË˛fiÃÒ˝tÖrœMÊ¸$ 28 H‚Ê˝ìœ —$Ö^Ë˛ MÊ¸*yÊ˛ßÊ˛$. ❖ GÖÌ≥MÊ¸: l∞ƒÊ˝$Δäˇ sÒ˝MÏ¸≤MÊ¸Ãå˝ BÔúÁ‹ΔÊˇœMÊ¸$ CÖrΔÊˇ*”≈ ßë”Δ>, l∞ƒÊ˝$Δäˇ MÊ¸ØË˛fiÃÒ˝tÖrœMÊ¸$ Δ>ôË˛ Á≥»ÑÊ¸ ßë”Δ> ❖ –Û˛ôË˛ØË˛Ö: l∞ƒÊ˝$Δäˇ sÒ˝MÏ¸≤MÊ¸Ãå˝ BÔúÁ‹ΔÊˇœMÊ¸$ Ø˛ÀMÊ¸$ ΔÊˇ*.19,188 l∞ƒÊ˝$Δäˇ MÊ¸ØË˛fiÃÒ˝tÖrœMÊ¸$ ΔÊˇ*.16,042 ❖ CÖrΔÊˇ*”≈À$: ØË˛–ö˛Ö∫ΔÊˇ$ 6, 8, 9, 10ØË˛ ❖ –˛ªå˝Ú‹Oså˝: www.ecil.co.in

Á‹tyÓ˛

—fƒÊ˝$–ÈyÊ˛ ∑ ‘Ë˝ì{MÊ¸–ÈΔÊˇÖ 2 ØË˛–ö˛Ö∫ΔÊˇ$ 2018

www.andhrajyothy com

IBPS Clerks Prelims- Solutions ∞ØË˛≤sÏ˝ Á‹tyÓ˛ ôË˛ΔÊˇ$–Èƒ˝$... Quantitative Aptitude 46. Let the usual speed of the train = s km/h Let the usual time taken = t hours => Distance = st According to the question (s + 30) (t - 2) = st => -s + 15t = 30 ------ (i) & (s - 20)(t + 2) =st => s - 10t=20 ------- (ii) Adding (i) and (ii) => t = 10 hours Putting the value of t in (ii) s - 10 x 10 = 20=> s = 120 km/h Required distance = 120 x 10 = 1200 km (47-50):

a + b + c + d + e + f + g = 900 ------ (i) b + e + f + g = 48/100 x 900 = 432 ------ (ii) d = 12/100 x 900 = 108 ---------- (iii) e + g = 18/100 x 900 = 162 ----------- (iv) 47. g = 10/100 x 900 =90 Putting the value of g in equation (iv), we get e + 90 = 1 62 => e = 72 48. b = 18/100 x 900 = 162 Putting the value of b in equation (ii) 162 + e + f + g = 432 => e + f + g = 270 Required number of students = d+ e + f + g = 108 + 270 = 378 49. c = 16/100 x 900 = 144 ---------- (a) From (a), (i), (ii), (iii) and (iv) a + 432 + 144 + 108 = 900 => a = 216

±så˝ ƒÊ˝$*i&2019

ßÛ˛‘Ë˝ –È≈Á≥¢ÖV> –˛$yÏ˛-MÊ¸Ãå˝, y˛ÖrÃå˝ M¯ΔÊˇ$fiÃZœ {Á≥–Û˛-‘È-∞MÏ¸ EßÛ˛™-’Ö-_ØË˛ ØÛ˛ÁŸ-ØË˛Ãå˝ GÕ-h-º-ÕsÓ˝ MÊ¸–í˛$ GÖ{sÒ˝Øå˛fi sÒ˝ã‹t (±så˝)&-ƒÊ˝$*i Ø¯sÏ˝-Ìú-MÛ¸-ÁŸØå˛ –˛À$-–ö˛-yÏ˛Ö®. D Á≥»-ÑÊ¸ØË˛$ ØÛ˛ÁŸ-ØË˛Ãå˝ sÒ˝Ì‹tÖVä¸ HgÒ˝±fi (GØå˛-HsÓ˝) ∞ΔÊˇ”-Ìfl˝-›˘¢Ö®. ‹${Ô≥Ö M¯ΔÊˇ$t °ΔÊˇ$µ M>ΔÊˇ-◊˝ÖV> ßÛ˛‘Ë˝ –È≈Á≥¢ÖV> –˛$yÏ˛-MÊ¸Ãå˝, y˛ÖrÃå˝ M¯ΔÊˇ$fiÃZœ {Á≥–Û˛‘Ë˝Ö ¥˜Ößë-ÀÖsÙ˝ ±så˝ÃZ AΔÊˇ·ôË˛ ›Î´®Ö-^Ë˛rÖ (GΔˇ$$–í˛$fi, hã≥-–ö˛$Δäˇ Á‹ÖÁ‹¶-ÀMÊ¸$ —$ØË˛-‡-Δˇ$$ÖÁ≥# EÖ®) ôË˛Á≥µ-∞-Á‹«. ±så˝ Á≥»-ÑÊ¸ÃZ øÍVÊ¸-›Î”-–ö˛$≈-–˛$OØË˛ A∞≤ Δ>{⁄ÎtÀ$..-ôË˛–ö˛$ Δ>{⁄Ît-ÃZœ∞ –˛$yÏ˛-MÊ¸-Ãå˝ /- y˛Ö-rÃå˝ M¯ΔÊˇ$fiÃZœ 15 ‘ÈôË˛Ö Ô‹rœØË˛$ BÃå˝ CÖyÏ˛ƒÊ˝* M¯sÍMÊ¸$ MÛ¸sÍ-Δˇ$$Ö-^ÈÕfi ◗ Á≥»ÑÊ¸ ôÛ˛©: –Û˛$ 5, 2019 EÖr$Ö®. ◗ AΔÊˇ·ôË˛: 12–ö˛ ôË˛ΔÊˇ-VÊ¸-Ü /- ôË˛-ôË˛fi-–ö˛*ØË˛Ö (ÌúhMä¸fi, M¸—${Ô‹t, ∫ƒÊ˝*-À-i / -∫-ƒÒ˝*-sÒ˝-M>≤-Ài, CÖXœãŸ Á‹ªÒ˝j-Mä¸t-Àô¯). _–ö˛« Á‹Ö–ö˛-ôË˛fiΔÊˇÖ —ßë≈-ΔÊˇ$¶À$ MÊ¸*yë ßÊ˛ΔÊˇ-RÍÁ‹$¢ ^Û˛Á‹$M¯-–ö˛^Ë˛$a. ◗ –ö˛ƒÊ˝$Á‹$: 17 H‚Ê˝ìœ (yÏ˛Ú‹Ö∫Δäˇ 31, 2018) ØÈsÏ˝MÏ¸. ∞∫Ö´ßÊ˛ØË˛À –Û˛$ΔÊˇMÊ¸$ «fΔäˇ”yä˛ —ßë≈ΔÊˇ$¶ÀMÊ¸$ –ö˛ƒÒ˝*Á‹yÊ˛ ÕÖÁ≥# EÖr$Ö®. fØË˛ΔÊˇÃå˝ —ßë≈ΔÊˇ$¶À$ –Û˛$ 5, 1994

50. a = 24/100 x 900 = 216 Required number of students = a+ d + e + g = 216 + 108 + 162 =486 51. A can do a piece of work in 40 days hence B will do the same work in 20 days. Let's assume total work = 1 unit Let's assume B joined A after 'd' days of starting the work therefore; =>25/40+(25-d)/20=1 => d/20=7/8=> d = (17) (1/2) Hence they worked together for = 25 - (17) (1/2) = (7) (1/2) Days

Reasoning Ability (66 - 70):

84. Given, "Master" is coded as "Mbuwiw". M = 13 (M is 13TH in alphabetical order); 13

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Ô≥i Á‹«t-Ìú-M¸så˝ CØå˛ ØË˛*≈{sÏ˝-ÁŸØå˛ ÚflO˝ßÊ˛-Δ>-ªÍ-ßä˛-ÃZ∞ gÍ°ƒÊ˝$ ¥˘ÁŸ-M>-‡ΔÊˇ Á‹ÖÁ‹¶ (∞Øå˛) ¥˘ã‹t {V>yÊ˛$≈-ƒÙ˝$så˝ Á‹«t-Ìú-M¸så˝ M¯ΔÊˇ$fi CØå˛ ØË˛*≈{sÏ˝-ÁŸØå˛ M¯ΔÊˇ$fiÃZ {Á≥–Û˛‘È-ÀMÊ¸$ ßÊ˛ΔÊˇ-RÍ-Á‹$¢À$ M¯ΔÊˇ$-ô¯Ö®. ◗ M¯ΔÊˇ$fi M>À –ö˛≈–ö˛´®: 2019 fØË˛-–ö˛« 3 ØË˛$Ö_ –ö˛*«a 15 –ö˛ΔÊˇMÊ¸$. ◗ AΔÊˇ·ôË˛: ÃÒ˝Oãú Ú‹OØå˛fi / ∫ƒÒ˝*-–˛$-yÏ˛-MÊ¸Ãå˝ Ú‹OØ˛fiã-‹ÃZ –ö˛*Á‹tΔäˇfi yÏ˛{X ÃÙ˝ßë –˛$yÏ˛-Ì‹-Øå˛ÃZ ªÙ˝Ì‹Mä¸ yÏ˛{X (GÖΩ-Ω-Gã‹ / ΩyÓ˛Gã‹ / ΩH-GÖ-Gã‹ / ΩÚfl˝-^å˛-GÖ-Gã‹ / ΩÔ≥sÓ˝ / ΩƒÊ˝$*-

A = 1; 1+1 = 2 = b S = 19; 19+2 = 21 = u T = 20; 20+3=23 = w E = 5; 5+4 = 9 = i R=18; 18+5 = 23 = w Similarly, "Bachelor" is coded as "Bbekiquy". 85. clearly, D is to the north west of P.

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86. If we take the forward position values of the alphabets where A=1, B=2 and so on till Z=26 then the forward position value of the 2nd alphabet is half as that of the forward position value of the 1st alphabet. J(10)D(4) not E(5); Z(26)M(13); V(22)K(11); P(16)H(8); H(8)D(4) 87. After the rearrangement 344 478 583 734 973 988 Hence, the number which is third from the left end is 583. 88. Smallest digits of all numbers are: 3, 3, 8, 3, 3 and 4 Hence, the required product = 3 x 3 x 8 x 3 x 3 x 4 = 2592 89. After the rearrangement 743 982 997 353 592 487 Highest number is 997, its sum = 25 90. The digit sum of the all the number is 14 19 25 11 16 19 Here, 14 is the second lowest total which represents 734 91. Second lowest number = 478; second highest number = 973

ØË˛$Ö_ yÏ˛Ú‹Ö∫ΔÊˇ$ 31,2002 –ö˛$´ßÊ˛≈; GÔ‹fi / GÔ‹t / KΩÔ‹ & GØå˛Ô‹GÃå˝ / Ô≥yÊ˛∫*œ≈yÓ˛ AøÊ˝≈ΔÊˇ$¶À$ –Û˛$ 5, 1989 ØË˛$Ö_ yÏ˛Ú‹Ö∫ΔÊˇ$ 31, 2002 –ö˛$´ßÊ˛≈ f∞√Ö_ EÖyëÕ. Á≥»ÑÊ¸ —´ßëØË˛Ö: Á≥»ÑÊ¸ Ú≥Øå˛ AÖyä˛ ı≥Á≥ΔÊˇ$ —´ßëØË˛Ö (Bãú-ÃÒ˝O-Øå˛)ÃZ EÖr$Ö®. Á≥»-ÑÊ¸ÃZ –˛$$ôË˛¢Ö 180 {Á≥‘Ë˝≤ À$ BªÒ˝j-MÏ¸t–í˛ sÒ˝Oã≥ {Á≥‘Ë˝≤À$ 720 –ö˛*ΔÊˇ$P-ÀMÊ¸$ EÖsÍ Δˇ$$. {Á≥Ü {Á≥‘Ë˝≤MÊ¸$ 4–ö˛*ΔÊˇ$PÀ$. CÖßÊ˛$ÃZ ÌúhMä¸fi 45 {Á≥‘Ë˝≤-ÀMÊ¸$ 180 –ö˛*ΔÊˇ$PÀ$; M¸—${Ô‹t 45 {Á≥‘Ë˝≤-ÀMÊ¸$ 180 –ö˛*ΔÊˇ$PÀ$; ∫ƒÊ˝*-Ài 90 {Á≥‘Ë˝≤-ÀMÊ¸$ 360 –ö˛*ΔÊˇ$PÀ$ MÛ¸sÍ-Δˇ$$Ö-^ÈΔÊˇ$. Á≥»ÑÊ¸ Á‹–ö˛$ƒÊ˝$Ö 3 VÊ¸ÖrÀ$. ßÊ˛ΔÊˇ-RÍÁ‹$¢: BØå˛-ÃÒ˝OØå˛ ßë”Δ> ßÊ˛ΔÊˇ-RÍÁ‹$¢ Ôúk: fØË˛-ΔÊˇ-Ãå˝ /- K-ΩÔ‹ (GØå˛-Ô‹-G-Ãå˝) & ΔÊˇ*.1400, —$VÊ¸ôÈ –È«MÏ¸ ΔÊˇ*. 750 ßÊ˛ΔÊˇ-RÍ-Á‹$¢MÊ¸$ _–ö˛« ôÛ˛©: ØË˛–ö˛Ö-∫ΔÊˇ$ 30, 2018. AyÏ˛√så˝ M>ΔÊˇ$zÀ y˙Øå˛-ÃZ-yÏ˛ÖVä¸: H{Ì≥Ãå˝ 15, 2019 ÁúÕ-ôÈÀ –˛ÀœyÏ˛: lØå˛ 6, 2019 ô˛À$VÊ¸$ Δ>{⁄ÎtÃZœ Á≥»Ñ>- MÛ¸Ö{ßëÀ$: ÚflO˝ßÊ˛-Δ>-ªÍßä˛, –ö˛ΔÊˇÖ-VÊ¸Ãå˝, MÊ¸»Ö-ØË˛-VÊ¸Δäˇ, Q–ö˛$√Ö, ΔÊˇÖV>-ΔˇyÏ˛z hÃÍœ, VÊ¸$Ör*ΔÊˇ$, MÊ¸ΔÊˇ*≤À$, —‘È-Q-Á≥r≤Ö, ÜΔÊˇ$-Á≥Ü, —fƒÊ˝$-–ÈyÊ˛, Ø˛À*œΔÊˇ$. –˛ªå˝-Ú‹Oså˝: https://ntaneet.nic.in GÖ-Gã‹ / ∫≈å_-ÀΔäˇ Bãú ØÛ˛^Ë˛$-Δ¯-Á≥Ü AÖyä˛ AÃÒ˝Oyä˛ Ú‹OØ˛fiã‹) E°¢-ΔÊˇ~ôË˛. –ö˛ƒÊ˝$Á‹$: 50 H‚Ê˝œÃZÁ≥# EÖyëÕ. ßÊ˛ΔÊˇ-RÍÁ‹$¢ —´ßëØË˛Ö: Bãú-ÃÒ˝OØå˛. ßÊ˛ΔÊˇ-RÍ-Á‹$¢MÊ¸$ _–ö˛« ôÛ˛©: ØË˛–ö˛Ö-∫ΔÊˇ$ 28, 2018. –˛ªå˝-Ú‹Oså˝: http://www.ninindia.org/

II-Gã-‹sÓ˝ Ô≥Úﬂ˝-^å˛yÓ˛ ÜΔÊˇ$-–ö˛-ØË˛Ö-ôË˛-Á≥#-ΔÊˇÖ-ÃZ∞ CÖyÏ˛-ƒÊ˝$Øå˛ CØå˛-Ì‹t-r*≈så˝ Bãú ı‹µã‹ Ú‹OØå˛ﬁ AÖyä˛ sÒ˝M>≤-Ài (II-Gã-‹sÓ˝) fØË˛-–ö˛« 2019 Ú‹ÁŸ-Øå˛-MÊ¸$-

Ì≥. -{÷∞-–È-Á‹-Δ>-–ö˛# y˛OΔˇ-MÊ¸tΔäˇ, {÷∞-–È-ã‹ M¯_Ö-Vä¸ ÁúΔäˇ M>ÖÌ≥-sÓ˝-sÏ˝-–í˛ GV>j–í˛$ﬁ, —f-ƒÊ˝$-–È-yÊ˛ Hence, the required product = 8 x 3 = 24 92. If all the letters of the word "ANXIOUS" are arranged in English alphabetical order, then it becomes A N X I O U S A I N O S U X Two letters - A and U, do not change their positions. 93. 3 such pairs of letters are there in the word "REFLECTION" each of which has as many letters between them in the word as in the English alphabet. R E F L E C T I O N 18 5 6 12 5 3 20 9 15 14 EF, CF and ON are the pairs. (94 - 95): 1 (OLDEST) R 2 V 3 Q 4 T 5 U 6 P 7 (YOUNGEST) S (96 - 100):

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ßÊ˛ΔÊˇ-RÍÁ‹$¢ —´ßëØË˛Ö: BØå˛-ÃÒ˝OØå˛. ßÊ˛ΔÊˇ-RÍ-Á‹$¢MÊ¸$ _–ö˛« ôÛ˛©: ØË˛–ö˛Ö-∫ΔÊˇ$ 14, 2018. –˛ªå˝-Ú‹Oså˝: www.iist.ac.in

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V>ØË˛$ Ô≥Úfl˝-^å˛yÓ˛ {¥˘{V>-–ö˛$$ÃZœ {Á≥–Û˛-‘È-ÀMÊ¸$ ßÊ˛ΔÊˇ-RÍ-Á‹$¢À$ M¯ΔÊˇ$-ô¯Ö®. ◗ Ô≥Úfl˝-^å˛yÓ˛ Ú‹µÁŸ-ÃÒ˝O-gÙ˝-ÁŸØå˛fi: HΔ¯-ı‹µã‹ CÖf-±-«ÖVä¸, H—ƒÊ˝*-∞Mä¸fi, M¸—${Ô‹t, GΔäˇ¢ AÖyä˛ ı‹µã‹ Ú‹OØ˛fiã‹, Áfl˝ì≈–ö˛*-∞sÓ˝ã‹, –ö˛*≈£Ê˛-–Û˛$-sÏ˝Mä¸fi, ÌúhMä¸fi. ◗ AΔÊˇ·ôË˛: Á‹Ö∫Ö-´®ôË˛ —øÍ-V>ÃZœ –ö˛*Á‹tΔäˇfi yÏ˛{X, Ø˛så˝ / VÛ¸så˝ E°¢-ΔÊˇ~ôË˛. ◗ GÖÌ≥MÊ¸: Δ>ôË˛ {Ô‹P∞ÖVä¸ sÒ˝ã‹t, CÖrΔÊˇ*”≈ B´ßë-ΔÊˇÖV>. ◗ Δ>ôË˛ {Ô‹P∞ÖVä¸ sÒ˝ã‹t ôÛ˛©: yÏ˛Ú‹Ö-∫ΔÊˇ$ 12, 2018. ◗ CÖrΔÊˇ*”≈ ôÛ˛©À$: 2018 yÏ˛Ú‹Ö-∫ΔÊˇ$ 17, 18.

MÛ¸Ö{ßÊ˛ {Á≥øÊ˝$ôË˛” B´ßÊ˛”-ΔÊˇ≈ÖÃZ ØË˛yÊ˛$-Á‹$¢ØË˛≤ f–ö˛-Áfl˝Δäˇ ØË˛–¯-ßÊ˛ƒÊ˝$ —ßë≈-À-ƒÊ˝*ÃZœ 2019 & 20 —ßë≈ Á‹Ö–ö˛-ôË˛fi-Δ>-∞MÏ¸ BΔ¯ ôË˛ΔÊˇVÊ¸Ü {Á≥–Û˛-‘È-ÀMÊ¸$ ØË˛–¯-ßÊ˛ƒÊ˝$ —ßë≈-ÀƒÊ˝$ Á‹—$Ü ßÊ˛ΔÊˇ-RÍ-Á‹$¢À$ M¯ΔÊˇ$-ô¯Ö®. ◗ AΔÊˇ·ôË˛: Á≥{Á‹$¢ôË˛ —ßë≈ Á‹Ö–ö˛-ôË˛fi-ΔÊˇÖÃZ H hÃÍœÃZ ØË˛–¯ßÊ˛ƒÊ˝$ —ßë≈-ÀƒÊ˝$Ö Á≥∞-^Û˛-Á‹$¢Öß¯ AßÛ˛ hÃÍœMÊ¸$ ^˛Ö®ØË˛ {Á≥øÊ˝$ôË˛” / Á≥{øÊ˝$ôË˛” VÊ¸$«¢ÖÁ≥# ¥˜Ö®ØË˛ ¥ÎuÊˇ-‘È-ÀÃZ AΔˇ$$ß¯ ôË˛ΔÊˇ-VÊ¸Ü ^Ë˛®–Û˛ —ßë≈-ΔÊˇ$¶À$ AΔÊˇ$·À$. ◗ –ö˛ƒÊ˝$Á‹$: 2006 –Û˛$ 1–ö˛ ôÛ˛© ØË˛$Ö_ 2010 H{Ì≥Ãå˝ 30–ö˛ ôÛ˛© –ö˛$´ßÊ˛≈ f∞√Ö_ EÖyëÕ. ◗ GÖÌ≥MÊ¸ —´ßëØË˛Ö: Δ>ôË˛ Á≥»ÑÊ¸ B´ßë-ΔÊˇÖV>. ◗ Á≥»ÑÊ¸ —´ßëØË˛Ö: Á≥»ÑÊ¸ –˛$$ôË˛¢Ö (80 {Á≥‘Ë˝≤-À-MÊ¸$-V>ØË˛$) 100 –ö˛*ΔÊˇ$P-ÀMÊ¸$ EÖr$Ö®. ©∞ÃZ –ö˛$*yÊ˛$ Ú‹ÑÊ¸ØË˛$œ EÖ sÍΔˇ$$. Ú‹ÑÊ¸-Øå˛ & 1ÃZ –˛$ÖrÃå˝ Gº-ÕsÓ˝ sÒ˝ã‹tMÊ¸$ 40 {Á≥‘Ë˝≤ÀMÊ¸$ 50 –ö˛*ΔÊˇ$PÀ$; Ú‹ÑÊ¸-Øå˛&2ÃZ A«-£ä˛-–˛$-sÏ˝Mä¸ sÒ˝ã‹tMÊ¸$ 20 {Á≥‘Ë˝≤-ÀMÊ¸$ 25 –ö˛*ΔÊˇ$PÀ$; Ú‹ÑÊ¸-Øå˛&3ÃZ ÃÍÖVÛ¸”i sÒ˝ã‹tMÊ¸$ 20 {Á≥‘Ë˝≤-ÀMÊ¸$ 25 –ö˛*ΔÊˇ$PÀ$ MÛ¸sÍ-Δˇ$$Ö-^ÈΔÊˇ$. ◗ Á≥»ÑÊ¸ Á‹–ö˛$ƒÊ˝$Ö: –˛$$ôË˛¢Ö Á≥»ÑÊ¸ Á‹–ö˛$ƒÊ˝$Ö 2VÊ¸ÖrÀ$. ©∞ÃZ Ú‹ÑÊ¸-Øå˛ & 1MÊ¸$ 60 ∞—$-⁄ÎÀ$; Ú‹ÑÊ¸-Øå˛ & 2MÊ¸$ 30 ∞—$-⁄ÎÀ$; Ú‹ÑÊ¸-Øå˛ & 3MÊ¸$ 30 ∞—$-⁄ÎÀ$ MÛ¸sÍ-Δˇ$$Ö-^ÈΔÊˇ$. ◗ Δ>ôË˛ Á≥»ÑÊ¸ ôÛ˛®: H{Ì≥Ãå˝ 6, 2019. ◗ ßÊ˛ΔÊˇ-RÍÁ‹$¢ —´ßëØË˛Ö: BØå˛-ÃÒ˝OØå˛. ◗ ßÊ˛ΔÊˇ-RÍ-Á‹$¢MÊ¸$ _–ö˛« ôÛ˛©: ØË˛–ö˛Ö-∫ΔÊˇ$ 30, 2018. ◗ –˛ªå˝-Ú‹Oså˝: https://navodaya.gov.in/

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Who was the first Governor of the RBI? Banking Know ledge/ Financial A w areness 1. Net NPA( in banks) is the amount of Gross NPAs less (or) minus which of the following? a) Interest debited to borrowal and not recovered and not recognized as income and kept in interest suspense b) Amount of provisions held in respect of NPAs c) Amount of claim received and not appropriated d) All the above e) None of these 2. A central bank (i.e.,RBI) performs several important functions for the economy. Which of the following is correct? a) It controls the money supply; sets the rate of interest on borrowing and lending money; b) Manages the external sector including the exchange rate; c) Supervises and regulates the financial sector, notably banks; d) It often regulates credit and foreign exchange markets; and, seeks to ensure financial stability, domestic as well as on the external front. e) All the above 3. Greater supply of money can facilitate which of the following? a) Ease of financial transactions, including the financing of government deficits, but this can cause economy to over-heat in due course and trigger (hyper-) inflationary pressures or even a full-blown crisis that eventually require sharper monetary contractions; b) Economy slows down c) Prices fall d) There will be no business e) None of these 4. Reserve Bank of India Act was modified in______ to constitute the Monetary Policy Committee (MPC). a) 2012 b) 2016 August c) 1999 d) 2000 e) None of these 5. The MPC consists of which of the following? a) Three RBI members, including the Governor who reserves a casting vote, and b) Three external members appointed by the government. c) Both (a) & (b) d) Governor of Maharastra e) None of these 6. The MPC has been legislatively awarded a flexible inflation-targeting mandate of achieving _______consumer price index (CPI) inflation in the medium term, while paying attention to growth, with operational independence to achieve it, and with accountability in terms of transparency around the MPC’s resolution, minutes summarising each individual committee member’s decision, bi-annual monetary policy reports, and a written report to the government in case a +/- 2% band around the target inflation level is violated for three quarters in a row. a) 4% b) 6% c) 7% d) 10 % e) None of these 7. The Fiscal Responsibility and Budget Management (FRBM) Act of 2003 explicitly prohibited the _______ from participating in primary issuances of the government securities a) Canara Bank b) Reserve Bank of India c) Yes Bank d) ICICI Bank e) None of these 8. Since 1976, when the level of the Rupee moved to being a “managed float” against a basket of currencies, and

especially since _______, the exchange rate has gradually evolved from being entirely a fixed rate to being marketdetermined for all practical purposes a) 1991 b) 1993 c) 1951 d) 1948 e) None of these 9. In the 2017 Financial Sector Assessment Programme (FSAP) of India who are active? a) The International Monetary Fund (IMF) and the World Bank(WB) b) ILO c) OECD d) WTO e) WHO 10. Who served as India’s non-official delegate in 1944 at the United Nations “Bretton Woods Conference” on post-

b) Japan in the 1990’s, c) Eurozone following the global financial crisis d) All the above e) None of these 15. Which steps the Reserve Bank of India had undertaken to address the stressed assets problem of Indian banks? a) the creation of Central Repository of Information on Large Credits(CRILC) in early 2014; b) the Asset Quality Review in 2015; c) reference of the largest, aged non-performing assets (NPAs) to the Insolvency and Bankruptcy Code (IBC) under the powers bestowed upon the Bank by promulgation of the Banking Regulation (Amendment) Ordinance 2017 (since notified as an Act);

22.

23.

24.

BANK PO/ CLERKS EXAM SPECIAL 16.

17.

18.

11.

12.

13.

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war financial and monetary arrangements? a) LK Jha b) Late Ardashir Darabshaw Shroff c) Shanmugam Shetty d) TT Krishnamachari e) None of these Who was the first Governor of the Reserve Bank of India? a) M Narasimham b) Sir Osborne Smith c) Rangarajan d) Raghuram Rajan e) None of these The most striking example is the presence of government-sponsored enterprises (GSEs) to support mortgages and home ownership in the ________. The GSEs are outside of any regulatory purview of the Federal Reserve, but have been deployed by successive governments to pursue populist housing policies, contributing significantly to the imbalances that led to the Global Financial Crisis of 2007-08 and the ensuing Great Recession a) United States b) UK c) Ireland d) Russia e) None of these Which bank has been regularly conducting Inflation Expectations Survey of Households(IESH) in India? a) Bank of England b) Reserve Bank of India c) Bank of Japan d) Bank of China e) None of these The under-capitalised banking systems engage in ever-greening of the distressed borrowers(“zombie lending”), as witnessed in which of the following? a) United States during the Savings and Loan (S&L) crisis of 1980’s,

19.

20.

21.

d) All the above e) None of these NPAs went up from 4.62% in 2014-15 to 7.79% in 2015-16, and were as high as ______ by December 2017. a) 2% b) 10.41% c) 3% d) 7 % e) None of these In February 2014, the Reserve Bank issued the framework for resolution of stressed assets. An important part of the framework was the setting up of the Central Repository of Information on Large Credits (CRILC). CRILC captured all exposures of banks above ______ a) Rs 50 million. b) Rs.100 million c) Rs.150 million d) Rs.200 million e) None of these The AQR, backed by CRILC, enabled us to get a banking system-wide view of large bank credits and make a holistic assessment of the true state of health of those exposures. In the AQR, the letter A stands for what? a) Asset(AQR:Asset Quality Review) b) Aspect c) Arise d) Awake e) None of these The Reserve Bank put in place, in August 2001, the CDR mechanism for restructuring of debt without the need for an asset quality downgrade if the restructuring plan met certain conditions. In the CDR , the C stands for what? a) Corporate(CDR:Corporate Debt Restructuring) b) Concession c) Convention d) Cash e) None of these Which of the following is correct? a) SDR:Strategic Debt Restructuring (SDR) b) FSPL:Flexible Structuring of Project Loans c) S4A:Scheme for Sustainable Structuring of Stressed Assets d) All the above e) None of these In 2016, the Insolvency and Bankruptcy Code, 2016(IBC), which is a comprehensive bankruptcy code, was enacted and notified. Which of the following is correct about the Code? a) The Code envisages timely resolution of borrower defaults through collective decision making by the creditors. b) The Code is both process-oriented and time-oriented. It is-process-oriented, in that it lays down, in detail, the various steps that need to be followed once a borrower is admitted for insolvency; c) it is time-oriented because it specifies strict timelines for insolvency resolution, failing which the borrower would have to

25.

26.

27.

28.

29.

30.

be taken into liquidation. d) All the above e) None of these Previously, the lenders had to form a ______ Lenders Forum (JLF) wherein a decision taken by the majority of lenders was to be binding on the minority lenders. a) Junior b) Joint c) Just d) Jeans e) None of these What are the restrictions for granting loans by banks? a) Advances against bank own shares b) Advances to bank directors c) Restriction on Power to Remit Debts d) Restrictions on holding shares in companies e) All the above Bankers should warn their customers that ______default will lead to their being on watch for resolution. a) 10 days b) 1 day c) 30 days d) 50 days e) None of these In the year ______ the NPCI started its role as a payment system provider by operating the ATM network when IDRBT handed over to it the National Financial Switch (NFS). a) 2010 b) 2009 c) 2002 d) 2007 e) None of these Who requisitioned the NPCI to operate the Cheque Truncation System (CTS) on its behalf? a) RBI b) Allahabad Bank c) United Bank of India d) UCO Bank e) None of these The objective of an umbrella organisation is to provide swift, convenient, anytime-anywhere payment services which are easy-to-use, simple, secure, fast and cost-effective for customers. a) NPCI b) SEBI c) IRDAI d) PFRDA e) None of these NPCI over the years has operated which retail payment systems? a) IMPS, UPI-including BHIM, b) National Unified USSD Platform (NUUP) for mobile payments, c) RuPay, NACH, d) Aadhaar based AePS, including Aadhaar Pay, APBS, BBPS, NETC, etc., some of which are available for use on a 24x7 basis e) All the above "Non-performing Asset" (NPA) means an asset in respect of which? a) Interest or principal(or instalment thereof) is overdue for a period of 180 days or more from the date of acquisition or the due date as per contract between the borrower and the originator, whichever is later; b) FDs c) RDs d) Current Account deposits e) None of these Standard asset" means an asset,______ a) Which is not an NPA b) Which is NPA c) For which loan recovery is not completed d) For which loan instament money is not paid e) None of these

Praturi Potayya Sarma Answers 1) d 2) e 3) a 4) b 5) c 6) a 7) b

8) b 9) a 10) b 11) b 12) a 13) b 14) d

15) d 16) b 17) a 18) a 19) a 20) d 21) d

22) b 23) e 24) b 25) b 26) a 27) a 28) e

29) a 30) a

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ªÒ˝ÖV>Ãå˝ ßÊ˛$@QßëΔˇ$$∞ A∞ H ØË˛®∞ Ì≥À$›Î¢ΔÊˇ$? ØË˛© –ö˛≈–ö˛Á‹¶ 1. MÏ¸Ö®–ÈsÏ˝ÃZ Á‹«M>∞ –ÈM>≈∞≤ VÊ¸$«¢Ö^Ë˛ÖyÏ˛? G) Á‹Ö–ö˛ôË˛fiΔÊˇÖ ¥˜yÊ˛–ö˛#ØÈ {Á≥–ö˛Ìfl˝Ö^Û˛ ØË˛ßÊ˛$ÀØË˛$ i–ö˛ ØË˛ßÊ˛$À$ AÖsÍΔÊˇ$. º) ØË˛ßÊ˛$À VÊ¸$«Ö_ A´´ßÊ˛≈ƒÊ˝$ØË˛Ö ^Û˛ı‹ ‘ÈÁ‹àÖ & ¥˜r–ö˛*Àh Ì‹) ±sÏ˝∞ VÊ¸$«Ö_ A´ßÊ˛≈ƒÊ˝$ØË˛Ö ^Û˛ı‹ ‘ÈÁ‹àÖ&ÚflO˝{yëÀi yÏ˛) Á‹ΔÊˇÁ‹$fiÀ VÊ¸$«Ö_ A´ßÊ˛≈ƒÊ˝$ØË˛Ö ^Û˛ƒÊ˝$yÊ˛Ö & Õ–ö˛*≤Ì‹tMä¸fi 2. MÏ¸Ö®–ÈsÏ˝ÃZ Á‹«M>∞ –ÈM>≈∞≤ VÊ¸$«¢Ö^Ë˛ÖyÏ˛? G) {Á≥Á≥Ö^Ë˛ ±sÏ˝ ®Ø¯ôË˛fi–ö˛Ö& –ö˛*«a 22 º) {Á≥Á≥Ö^Ë˛ ØË˛ßÊ˛$À ®Ø¯ôË˛fi–ö˛Ö& Ú‹Ú≥tÖ∫ΔÊˇ$ _–ö˛« B®–ÈΔÊˇÖ Ì‹) 2017 {Á≥Á≥Ö^Ë˛ ±sÏ˝ ®Ø¯ôË˛fi–ö˛ ∞ØÈßÊ˛Ö & –Û˛ã‹t –ÈrΔäˇ –ÈyÊ˛ÖyÏ˛ yÏ˛) 2018 {Á≥Á≥Ö^Ë˛ ±sÏ˝ ®Ø¯ôË˛fi–ö˛ ∞ØÈßÊ˛Ö & ØÛ˛^Ë˛Δäˇ Bãú –ÈrΔäˇ 3. MÏ¸Ö®–ÈsÏ˝ÃZ {Á≥´ßëØË˛ ØË˛® M>∞® H®? G) ØË˛ΔÊˇ√ßë º) ^Ë˛Ö∫Ãå˝ Ì‹) Á‹∫ΔÊˇ√Ü yÏ˛) M>–Û˛« 4. {Á≥Á≥Ö^Ë˛ÖÃZ AÜ ¥˜yÊ˛–˛OØË˛ ØË˛®? G) Ø˛OÀ$ØË˛® º) A–˛$gÍØ¨˛ Ì‹) M>ÖV¯ yÏ˛) –˛$MÏ¸ÖVä¸ 5. MÏ¸Ö®–ÈsÏ˝ÃZ Á≥ΔÊˇ›Î¶±ƒÊ˝$ ØË˛® M>∞® H®? G) Ø˛OÀ$ ØË˛® º) Ì‹Ö´ßÊ˛* Ì‹) A–˛$gÍØ¨˛ yÏ˛) yë«œÖVä¸ 6. øÍΔÊˇôË˛ßÛ˛‘Ë˝ÖÃZ AÜ ¥˜yÊ˛–˛OØË˛ EÁ≥ØË˛®? G) ƒÊ˝$–ö˛$$ØË˛ º) Á‹sÒ˝œgå˝ Ì‹) ¡–ö˛* yÏ˛) {¥Î◊˝Ìfl˝ôË˛ 7. MÏ¸Ö®–ÈsÏ˝ÃZ ¿ØË˛≤ÖV> EÖyÛ˛ßë∞≤ VÊ¸$«¢Ö^Ë˛ÖyÏ˛? G) ØË˛ΔÊˇ√ßë º) Á‹$–ö˛ΔÊˇ~ΔÛˇQ Ì‹) ôË˛Á≥Ü yÏ˛) ‘Ë˝Δ>–ö˛Ü 8. Ì‹Ö´´ßÊ˛* ØË˛® øÍΔÊˇôË˛ßÛ˛‘Ë˝ÖÃZMÏ¸ {Á≥–Û˛’Ö^Û˛ {¥ÎÖôË˛Ö? G) AMÊ¸*≤Δäˇ º) Áfl˝«M¸ Ì‹) Ì‹µsÏ˝ yÏ˛) £ëÖ^¯Mä¸ 9. MÏ¸Ö®–ÈsÏ˝ÃZ Ì‹Ö´ßÊ˛*ØË˛® Á≥ΔÊˇ”ôË˛ {¥ÎÖôË˛ EÁ≥ØË˛® H®? 1. BÌ‹P∞ 2. ⁄˘≈Mä¸ 3. WÃÒ˝œså˝ 4. ‘Ë˝ôË˛${® G) 1, 2 º) 2, 3 Ì‹) 3, 4 yÏ˛) 2, 4 10. VÊ¸ÖV>ØË˛®ÃZ ∞–ö˛Ì‹Ö^Û˛ yëÕπØ¨˛fi gÍÜ H®? G) Á‹$&Á‹$ º) Ô‹&Ô‹ Ì‹) ªZÀfiØ¨˛ yÏ˛) H©M>ßÊ˛$ 11. MÏ¸Ö®–ÈsÏ˝ÃZ Á‹«M>∞ –ÈM>≈∞≤ VÊ¸$«¢Ö^Ë˛ÖyÏ˛. G) iÀÖ ØË˛® –˛«ØÈVä¸ –ö˛ßÊ˛™ f∞√Á‹$¢Ö® º) FÀΔäˇ Á‹ΔÊˇÁ‹$fi VÊ¸$Öyë {Á≥ƒÊ˝*◊Ï˝Ö^Û˛ ØË˛® & iÀÖ Ì‹) øÍΔÊˇô¨˛ & ¥ÎMä¸ Á‹«Áfl˝ßÊ˛$™ ßë”Δ> {Á≥–ö˛Ìfl˝Ö^Û˛ ØË˛® & iÀÖ yÏ˛) iÀÖ ØË˛®MÏ¸ –ö˛$Δ¯ ı≥ΔÊˇ$ & ÚflO˝Δ>–ö˛Ü 12. `ØÈªå˝ ØË˛® fØË˛√›Î¶ØË˛–˛$OØË˛ "ªÍΔ>ÃÍ¥Îa' H Á≥ΔÊˇ”ôË˛ {‘Û˝◊Ï˝ÃZ EÖ®? G) M>Δ>M¯ΔÊˇÖ º) ÀyëzRå¸ Ì‹) fÁ‹PΔäˇ yÏ˛)Ì≥Δäˇ Á≥ÖgÍÃå˝ 13. MÏ¸Ö®–ÈsÏ˝ÃZ H ØË˛®∞ "IΔ>–ö˛Ü, Á≥ΔÊˇ*ÌŸ◊Ï˝' AØÛ˛ ı≥ΔÊˇœô¯ Ì≥À$›Î¢ΔÊˇ$? G) ºƒÊ˝*ã‹ º) Á‹sÒ˝œgå˝ Ì‹) Δ>— yÏ˛) iÀÖ 14. Á‹sÒ˝œgå˝ ØË˛® H MÊ¸ØË˛$–ö˛$ ßë”Δ> øÍΔÊˇôË˛ßÛ˛‘Ë˝ÖÃZMÏ¸ {Á≥–Û˛’Á‹$¢Ö®? G) ÌŸÌŸPÃÍ º) ØÈ£Ê˛$ÃÍ Ì‹) MÊ¸ΔÊˇ$¶ÖV>œ yÏ˛) Δ¯ãfl˝ôË˛ÖVä¸ 15. øÍΔÊˇô¨˛ÃZ –ö˛*{ôË˛–Û˛$ {Á≥–ö˛Ìfl˝Ö^Û˛ Ì‹Ö´ßÊ˛* EÁ≥ØË˛®? G) iÀÖ º) ºƒÊ˝*ã‹ Ì‹) Á‹sÒ˝œgå˝ yÏ˛) Δ>— 16. –ö˛$*yÊ˛$ ßÛ˛‘ÈÀ$(sÏ˝ªÒ˝så˝, ¥ÎMä¸, CÖyÏ˛ƒÊ˝*) ßë”Δ> {Á≥–ö˛Ìfl˝Ö^Û˛ Ì‹Ö´ßÊ˛* EÁ≥ØË˛®? G) Δ>— º) ºƒÊ˝*ã‹ Ì‹) ‘Ë˝ôË˛${® yÏ˛) `ØÈªå˝ 17. MÏ¸Ö®–ÈsÏ˝ÃZ –ö˛*ØË˛Á‹ Á‹Δ¯–ö˛ΔäˇMÊ¸$ ßÊ˛VÊ¸YΔÊˇV> f∞√Ö_ØË˛ ØË˛® H®? G) Ì‹Ö´ßÊ˛* º) Á‹sÒ˝œgå˝ Ì‹) {∫Áfl˝√Á≥#{ôË˛ yÏ˛) H©M>ßÊ˛$ 18. {Á≥MÊ¸rØË˛ (G): Ì‹Ö´ßÊ˛*ØË˛® JMÊ¸ Á≥ΔÊˇ›Î¶±ƒÊ˝$ ØË˛® M>ΔÊˇ◊˝Ö(BΔäˇ): Ì‹Ö´ßÊ˛*ØË˛® £ëΔäˇ Gyë« VÊ¸$Öyë {Á≥–ö˛Ìfl˝Á‹$¢Ö® G) G Á‹ΔˇOØË˛®, BΔäˇ, G MÏ¸ Á‹ΔˇOØË˛ —–ö˛ΔÊˇ◊˝ M>ßÊ˛$ º) G ôË˛Á≥#µ, BΔäˇ Á‹ΔˇOØË˛® Ì‹) G, BΔäˇ ΔˇÖyÊ˛* ôË˛Á≥#µ yÏ˛) G Á‹ΔˇOØË˛®, G MÏ¸ BΔäˇ Á‹ΔˇOØË˛ —–ö˛ΔÊˇ◊˝ 19. {Á≥MÊ¸rØË˛(G): Ì‹Ö´ßÊ˛*ØË˛® EÁ≥ØË˛ßÊ˛$ÀÃZ Ú≥ßÊ˛™® `ØÈªå˝ M>ΔÊˇ◊˝Ö(BΔäˇ): `ØÈªå˝ ØË˛®, Ì‹Ö´ßÊ˛*ØË˛®MÏ¸ AôË˛≈´®MÊ¸ ±sÏ˝∞ ^Û˛ΔÊˇ–Û˛Á‹$¢Ö® G) G Á‹ΔˇOØË˛®; G MÏ¸ BΔäˇ Á‹ΔˇOØË˛ —–ö˛ΔÊˇ◊˝ º) G Á‹ΔˇOØË˛®; G MÏ¸ BΔäˇ Á‹ΔˇOØË˛ —–ö˛ΔÊˇ◊˝ M>ßÊ˛$

Ì‹) G JÁ≥#µ, M>± BΔäˇ ôË˛Á≥#µ yÏ˛) G, BΔäˇ ΔˇÖyÊ˛* ôË˛Á≥#µ 20. {Á≥MÊ¸ΔÊˇ◊˝(G): –ö˛$lŒ ©— {Á≥Á≥Ö^Ë˛ÖÃZ AÜÚ≥ßÊ˛™ ØË˛© B´ßë«ôË˛ ©—. M>ΔÊˇ◊˝Ö(BΔäˇ): –ö˛$lŒ ©—∞ {∫Áﬂ˝√Á≥#{ôË˛ ØË˛® A›˘ÖÃZ HΔÊˇµΔÊˇ$Á‹$¢Ö® G) G Á‹ΔˇOØË˛®; BΔäˇ ôË˛Á≥#µ º) G Á‹ΔˇOØË˛®, G MÏ¸ BΔäˇ Á‹ΔˇOØË˛ —–ö˛ΔÊˇ◊˝ Ì‹) G Á‹ΔˇOØË˛®, G MÏ¸ BΔäˇ Á‹ΔˇOØË˛ —–ö˛ΔÊˇ◊˝ M>ßÊ˛$ yÏ˛) G, BΔäˇ ΔˇÖyÊ˛* Á‹ΔˇOØË˛— 21. MÏ¸Ö® –ÈsÏ˝∞ fôË˛Á≥ΔÊˇ^Ë˛ÖyÏ˛. 1. {∫Áﬂ˝√Á≥#{ôË˛ G. VÊ¸Δ>¢ÖVä¸^Ë˛$ 2. Ì‹Ö´ßÊ˛*ØË˛® º. ƒÊ˝$–ö˛$$Ø¯{Ü 3. VÊ¸ÖV>ØË˛® Ì‹. VÊ¸ÖV¯{Ü 4. ƒÊ˝$–ö˛$$ØÈ ØË˛® yÏ˛. ÁŸ–í˛$ƒÊ˝$ÖVä¸ yÊ˛–í˛$ G) 1&G, 2&º, 3&Ì‹, 4&yÏ˛ º) 1&Ì‹, 2&º, 3&G, 4&yÏ˛

G) M>À¥Î∞ º) h£¯ÃÍ Ì‹) ôË˛–ÈÖVä¸ yÏ˛) øÍ–ö˛$$ 32. 1887 MÊ¸ÖsÙ˝ –ö˛$$ÖßÊ˛$ VÊ¸ÖV>ØË˛®MÏ¸ EÁ≥ØË˛®V> EÖyÏ˛ {Á≥Á‹$¢ôË˛Ö {∫Áfl˝√Á≥#{ôË˛ ØË˛®MÏ¸ EÁ≥ØË˛®V> {Á≥–ö˛Ìfl˝Á‹$¢ØË˛≤ ØË˛®? G) ÃZÌfl˝ô¨˛ º) ®‡ÖVä¸ Ì‹) sÓ˝›Ît yÏ˛) VÊ¸ÖV>´ßÊ˛Δäˇ 33. MÏ¸Ö® –ÈsÏ˝∞ fôË˛Á≥ΔÊˇ^Ë˛ÖyÏ˛. 1. VÊ¸ÖV> G. ›ÎÀ{V>–í˛$ 2. ØË˛ΔÊˇ√ßë º. ôÈfiÖVä¸∏˘ 3. {∫Áfl˝√Á≥#{ôË˛ Ì‹. ¥ÎÀΔ>Δˇ$$ØË˛® 4. VÊ¸ÖyÊ˛Mä¸ yÏ˛. Á≥ßë√ØË˛® 1 2 3 4 G) Ì‹ yÏ˛ º G º) G Ì‹ yÏ˛ º Ì‹) yÏ˛ Ì‹ G º yÏ˛) yÏ˛ Ì‹ º G

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Ì‹) 1&yÏ˛, 2&G, 3&Ì‹, 4&º yÏ˛) 1&º, 2&G, 3&Ì‹, 4&yÏ˛ 22. MÏ¸Ö® –ÈsÏ˝∞ fôË˛Á≥ΔÊˇ^Ë˛ÖyÏ˛. 1. V¯ßë–ö˛« G. gÒ˝ÖÚŸyä˛Á≥NΔäˇ 2. VÊ¸ÖV> º. M>ØË˛*µΔäˇ 3. ØË˛ΔÊˇ√ßë Ì‹. ªÍÁ‹ΔÊˇ 4. Á‹$–ö˛ΔÊˇ~ΔÛˇQ yÏ˛. f∫Ãå˝Á≥NΔäˇ 1 2 3 4 G) G º ‹Ì yÏ˛ º) º yÏ˛ ‹Ì G Ì‹) ‹Ì yÏ˛ G º yÏ˛) ‹Ì º yÏ˛ G 23. øÍΔÊˇôË˛ßÛ˛‘Ë˝ÖÃZ∞ {Á≥´ßëØË˛ ØË˛ßÊ˛$À ßë”Δ> {Á≥–ö˛Ìfl˝Ö^Û˛ ±sÏ˝‘ÈôË˛Ö? G) 75 º) 85 Ì‹) 7 yÏ˛) 8 24. –ö˛ΔÊˇßÊ˛ M>À$–ö˛À$ GMÊ¸$P–ö˛V> MÊ¸ÕWØË˛ ØË˛®? G) Á‹sÒ˝œgå˝ º) ƒÊ˝$–ö˛$$ØË˛ Ì‹) ØË˛ΔÊˇ√ßë yÏ˛) VÊ¸ÖV> 25. AÜÚ≥ßÊ˛™ AÖôË˛ΔÊˇ*¬øÍVÊ¸ ØË˛® H®? G) sÍÖÁ‹ º) Áú$VÊ¸YΔäˇ Ì‹) À*∞ yÏ˛) ªÍ∞ 26. ßÛ˛‘Ë˝ÖÃZ AôË˛≈´®MÊ¸ {¥ÎgÒ˝MÊ¸$tÀØË˛$ MÊ¸ÕWØË˛ ØË˛®? G) ØË˛ΔÊˇ√ßë º) VÊ¸ÖV> Ì‹) V¯ßë–ö˛« yÏ˛) MÊ¸ñ⁄Î~ 27. "®{∫*VÊ¸…ä˛' ØË˛VÊ¸ΔÊˇÖ H ØË˛® JyÊ˛$zØË˛ EÖ®? G) {∫Áfl˝√Á≥#{ôË˛ º) sÓ˝›Ît Ì‹) ÃZÌfl˝ô¨˛ yÏ˛) –ö˛*ØË˛ã‹ 28. VÊ¸ÖV>ØË˛®MÏ¸ Á‹Ö∫Ö´®Ö_ MÏ¸Ö®–ÈsÏ˝ÃZ Á‹«M>∞ –ÈM>≈∞≤ VÊ¸$«¢Ö^Ë˛ÖyÏ˛. G) AÀM>ØË˛ÖßÊ˛, øÊ˝XΔÊˇ£Ê˛ ØË˛ßÊ˛$À$ ßÛ˛–ö˛{Á≥ƒÊ˝*VÊ¸ –ö˛ßÊ˛™ MÊ¸ÕÌ‹ VÊ¸ÖV> ØË˛®V> –ö˛*ΔÊˇôÈΔˇ$$ º) VÊ¸ÖV>ØË˛® Áfl˝«ßë”Δäˇ –ö˛ßÊ˛™ –˛$OßëØË˛ÖÃZMÏ¸ {Á≥–Û˛’Á‹$¢Ö® Ì‹) VÊ¸ÖV>ØË˛®MÏ¸ VÊ¸À –ö˛$ΔˆMÊ¸ ı≥ΔÊˇ$ & MÊ¸ΔÊˇ√ØÈ›ÎØË˛® yÏ˛) VÊ¸ÖV>ØË˛® fØË˛√›Î¶ØË˛Ö & ßÛ˛–ö˛{Á≥ƒÊ˝*VÊ¸ 29. Ìfl˝–ö˛*ÀƒÊ˝*ÃZœ Á≥#sÏ˝t VÊ¸ÖV>ØË˛®MÏ¸ MÊ¸$yÏ˛–˛OÁ≥#ØË˛ MÊ¸Õı‹ HM¸OMÊ¸ EÁ≥ØË˛®? G) ^Ë˛Ö∫Ãå˝ º) Δ>–í˛$VÊ¸ÖV> Ì‹) ƒÊ˝$–ö˛$$ØË˛ yÏ˛) ›˘Ø¨˛ 30. øÍΔÊˇôË˛ßÛ˛‘Ë˝Ö VÊ¸$Öyë {Á≥ƒÊ˝*◊Ï˝Ö_ AΔÛˇºƒÊ˝* Á‹–ö˛$${ßÊ˛ÖÃZ MÊ¸Õı‹ ØË˛ßÊ˛$ÃZœ AÜÚ≥ßÊ˛™ ØË˛®? G) ØË˛ΔÊˇ√ßë º) Ì‹Ö´ßÊ˛* Ì‹) ôË˛Á≥Ü yÏ˛) Á‹sÒ˝œgå˝ 31. {∫Áfl˝√Á≥#{ôË˛ ØË˛® øÍΔÊˇôË˛ßÛ˛‘Ë˝ÖÃZMÏ¸ {Á≥–Û˛’Ö^Û˛ {¥ÎÖôË˛Ö?

34. øÍΔÊˇôË˛ßÛ˛‘Ë˝ÖÃZ AôË˛≈´®MÊ¸ÖV> BMä¸øõ(GßÊ˛™yÊ˛$VÊ¸$) Á‹ΔÊˇÁ‹$fiÀØË˛$ HΔÊˇµ«^Û˛ ØË˛®? G) V¯ßë–ö˛« º) {∫Áfl˝√Á≥#{ôË˛ Ì‹) M¯Ì‹ yÏ˛) H©M>ßÊ˛$ 35. G{ΔÊˇØË˛® A∞ H ØË˛®∞ Ì≥À$›Î¢ΔÊˇ$? G) V¯ßë–ö˛« º) MÊ¸ñ⁄Î~ Ì‹) {∫Áfl˝√Á≥#{ôË˛ yÏ˛) M>–Û˛« 36. MÏ¸Ö®–ÈsÏ˝ÃZ ¿ØË˛≤ÖV> EÖyÛ˛ßë∞≤ VÊ¸$«¢Ö^Ë˛ÖyÏ˛? G) ‘Ë˝Δ>–ö˛ÜØË˛® º) –ö˛Δ>Áfl˝ØË˛® Ì‹) –ö˛*ÖyÊ˛—ØË˛® yÏ˛) {ªÍÁfl˝√◊Ï˝ ØË˛® 37. MÏ¸Ö®–ÈsÏ˝ÃZ Á≥NΔÊˇ”–ö˛«¢ôË˛ ØË˛® H®? G) AÀM>ØË˛ÖßÊ˛ º) V¯–ö˛$Ü Ì‹) Δ>— yÏ˛) Δ>–í˛$VÊ¸ÖVÊ¸ 38. ØË˛ΔÊˇ√ßëØË˛® ^˛ÕMÊ¸ô˛¢ H®? G) Á≥NΔÊˇ~ º) ªÍΔˇ≤Δäˇ Ì‹) ∫ÖfΔäˇ yÏ˛) ôË˛Á≥Ü 39. MÏ¸Ö® ØË˛ßÊ˛$ÀØË˛$ –ÈsÏ˝ fØË˛√›Î¶ØÈÀ B´ßëΔÊˇÖV> ßÊ˛ÑÏ¸◊˝Ö ØË˛$Ö_ EôË˛¢Δ>∞MÏ¸ A–ö˛$ΔÊˇaÖyÏ˛? 1. M>–Û˛« 2. ›˘Ø¨˛ØË˛® 3. ¡–ö˛$ 4. MÊ¸ñ⁄Î~ G) 1, 2, 3, 4 º) 1, 4, 3, 2 Ì‹) 2, 3, 4, 1 yÏ˛) 3, 4, 1, 2 40.øÍΔÊˇôË˛ßÛ˛‘Ë˝ÖÃZ AÜÁ≥#Δ>ôË˛ØË˛ ØË˛®? G) VÊ¸ÖV> º) V¯ßë–ö˛« Ì‹) AÀM>ØË˛ÖßÊ˛ yÏ˛) Ì‹Ö´ßÊ˛* 41. øÍΔÊˇôË˛ßÛ˛‘Ë˝ÖÃZ AÜ ØË˛“ØË˛ ØË˛® H®? G) VÊ¸ÖV> º) V¯ßë–ö˛« Ì‹) AÀM>ØË˛ÖßÊ˛ yÏ˛) Ì‹Ö´ßÊ˛* 42. MÏ¸Ö® –ÈsÏ˝ÃZ —´©ΔÊˇ~´ßÊ˛« VÊ¸$Öyë {Á≥–ö˛Ìfl˝Ö^Û˛ ØË˛ßÊ˛$À$? G) ØË˛ΔÊˇ√ßÊ˛ º) ôË˛Á≥Ü Ì‹) ßë–˛*ßÊ˛Δäˇ yÏ˛) Ú≥O–ö˛±≤ 43. MÏ¸Ö® –ÈsÏ˝∞ fôË˛Á≥ΔÊˇ^Ë˛ÖyÏ˛. 1. W«MÊ¸«~MÊ¸ G. ªÒ˝sÍ” 2. MÊ¸Δ>~–ö˛Ü º. MÓ¸Ø¨˛ 3. ØÛ˛{ôÈ–ö˛Ü Ì‹. À*∞ 4. À–ö˛◊˝ ØË˛® yÏ˛. Á‹∫ΔÊˇ√Ü 1 2 3 4 G) º Ì‹ G yÏ˛ º) G º yÏ˛ Ì‹ Ì‹) yÏ˛ º G Ì‹ yÏ˛) Ì‹ G º yÏ˛ 44. IßÊ˛$ØË˛≤ΔÊˇ ßÊ˛‘ÈªÍ™À ôË˛ΔÊˇ–ÈôË˛ 2017 Ú‹Ú≥tÖ∫ΔÊˇ$ 17ØË˛ Á≥NΔÊˇ¢Δˇ$$ gÍÜMÏ¸ AÖMÏ¸ôË˛Ö ^Û˛Ì‹ØË˛ Á‹Δ>™Δäˇ

Á‹Δ¯–ö˛Δäˇ {¥ÎgÒ˝MÊ¸$tØË˛$ H ØË˛®Ú≥O ∞«√Ö^ÈΔÊˇ$? G) ôË˛Á≥Ü º) –ö˛*Ìfl˝ Ì‹) ØË˛ΔÊˇ√ßë yÏ˛) Á‹∫ΔÊˇ√Ü 45. {Á≥Á≥Ö^Ë˛ÖÃZ AÜÚ≥ßÊ˛™ AÖôË˛ΔÊˇ*¬øÍVÊ¸ ØË˛® H®? G) KÃÍY º) yëØË˛*≈ªå˝ Ì‹) ƒÊ˝$*{Á≥sÏ˝ã‹ yÏ˛) H©M>ßÊ˛$ 46. Á≥#ÁŸPΔäˇ Á‹ΔÊˇÁ‹$fi VÊ¸$Öyë —.–˛ÖMÊ¸rΔˇyÏ˛z Ô‹∞ƒÊ˝$Δäˇ ∏Î≈MÊ¸Œt {Á≥ƒÊ˝*◊Ï˝Ö^Û˛ ØË˛®? G) À*∞ º) ªÍ∞ Ì‹) Á‹∫ΔÊˇ√Ü yÏ˛) –ö˛*Ìfl˝ 47. MÊ¸Ì≥À´ßëΔÊˇ, Á‹Áfl˝{Á‹´ßëΔÊˇ fÀ¥ÎôÈÀ$ H ØË˛®Ú≥O EØÈ≤Δˇ$$? G) ØË˛ΔÊˇ√ßë º) ôË˛Á≥Ü Ì‹) MÊ¸ñ⁄Î~ yÏ˛) V¯ßë–ö˛« 48. gZVä¸ fÀ¥ÎôË˛Ö H ØË˛®Ú≥O EÖ®? G) –ö˛Δ>Áfl˝ØË˛® º) ‘Ë˝Δ>–ö˛Ü Ì‹) M>–Û˛« yÏ˛) –ö˛*Mä¸QÖyä˛ 49. ªÒ˝ÖV>Ãå˝ ßÊ˛$@QßëΔˇ$$∞ A∞ H ØË˛®∞ Ì≥À$›Î¢ΔÊˇ$? G) –ö˛$$ΔÊˇ„ º) ∫ØÈfi Ì‹) ∫Δ>Mä¸ yÏ˛) ßë–˛*ßÊ˛Δäˇ 50. V¯–ö˛$ÜØË˛® JyÊ˛$zØË˛ EØË˛≤ øÍΔÊˇ°ƒÊ˝$ ØË˛VÊ¸ΔÊˇÖ? G) ÀM¯≤ º) AƒÒ˝*´ßÊ˛≈ Ì‹) M>ØË˛*µΔäˇ yÏ˛) B{V> 51. CÖyÏ˛ƒÊ˝* ØÛ˛¥ÎÃå˝ Á‹«Áfl˝ßÊ˛$™À ßë”Δ> {Á≥–ö˛Ìfl˝Ö^Û˛ ØË˛®? G) M¯Ì‹ º) VÊ¸{V> Ì‹) Δ>–í˛$VÊ¸ÖV> yÏ˛) ‘ÈΔÊˇßÊ˛ 52. ÑÓ¸{¥ÎØË˛® JyÊ˛$zØË˛ VÊ¸À ØË˛VÊ¸ΔÊˇÖ? G) ªÍVÊ¸Ãå˝Á≥NΔäˇ º) EfjΔˇ$$± Ì‹) EßÊ˛ƒå˝$Á≥NΔäˇ yÏ˛) ΔÛˇ–È 53. AÕƒÊ˝*ªÒ˝så˝ ©— H ØË˛® –ö˛$$Qßë”ΔÊˇÖ –ö˛ßÊ˛™ EÖ®? G) ôË˛Á≥Ü º) ØË˛ΔÊˇ√ßë Ì‹)VÊ¸ÖV> yÏ˛) –ö˛*Ìfl˝ 54. MÏ¸Ö®–ÈsÏ˝ÃZ ªüVÊ¸$Y∞ÑÛ¸¥ÎÀ$ A´®MÊ¸ÖV> EØË˛≤ ØË˛© Á≥«–ÈÁfl˝MÊ¸ {¥ÎÖôË˛Ö H®? G) M>–Û˛« º) VÊ¸ÖV> Ì‹) ßë–˛*ßÊ˛Δäˇ yÏ˛) Áfl˝ìXœ 55. ›ÎVÊ¸ΔÊˇ–ö˛$Ü A∞ H ØË˛®∞ Ì≥À$›Î¢ΔÊˇ$? G) ªÍ◊Ï˝ º) À*∞ Ì‹) M>–Û˛« yÏ˛) {∫Áfl˝√Á≥#{ôË˛

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12 X¯óÁø£yês¡+ 2.11.2018 ôV’≤<äsêu≤<é

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1) Thank you for saving my life 2) Give the gift of life : donate blood 3) Every blood donor is a hero 4) Be there for someone else. Give blood. Share life

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4) Fighting albinism with education and awareness

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4) IBM

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Componendo) iv) (a b) : b = (c d) : d (Rule of Dividendo)

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(Rule of Componendo and Dividendo) vi) a : b = c : d = (a + c) : (b + d) (Rule of Addendo)

1794 101x + x2 = 1710 87x + x2

vii) a : b = c : d = (a c) : (b d)

84 x = = 6 14

ô¢àŸô³êŸ úˆšï°àÂ. ô¦ëÅ¯ÚÛ”ù£g Nù£óŸª Eí£±éªõª

ví£:-

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þ§ëÅ]ì:-

Í-ô³ê¶

ví£:-

N-õª÷ ÓÙêŸ?

a þ§ëÅ]ì: - b+ c

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3) 12

þ§ëÅ]ì:- 3, 6, 4.-5õ Íìª-ð§êŸ àŸêŸªô¢– í£ë]Ù =ÍìªÚÛªÙçË¶ 3, 6, 4.-5, xõª Íìª-ð§-êŸÙöËº ÑÙæ°ô³. - 3 :- 6 =- 4.-5 : -x

4) 15 x

þ§ëÅ]ì: B›ú-óŸ«-Lqì ú£ÙÜu =- x ÍìªÚÛªÙçË¶

2) p2 + q2 r2

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4) p2 q2 r2

p, r

õ Íìª-ð§êŸ ÷ªëÅ]u÷ªÙ

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ví£:-

Íô³ê¶

1) 5

4) 8

(23 x) : (30 x) = (57 x) : (78 x) (23 x) (57 x) = (30 x) (78 x) (23 x) (78 x) = (30 x) (57 x)

ú£-÷«-ëÅ¯ìÙ:- 3 õ Íìª-ð§êŸ ÷ªëÅ]u÷ªÙ Nõª÷?

(x + 2), (x + 9) (x + 5) x 2) 6

, Íô³ê¶

3) 7

4) 8

õ Íìª-ð§êŸ ÷ªëÅ]u÷ªÙ

þ§-ëÅ]ì:-

ìª þ§CÅ›úh,

2) 11

ú£-÷«-ëÅ¯ìÙ:- 3

(x3 + 3x2 + 3x + 1) (x3 3x2 + 3x 1)

( )

1) (x z) : (x + z)

2) (x + z) : (x z)

3) (x + y) : (y + z)

4) (y + z) : (y z)

2x 11 = x = 11 2 1

x, y, z

õª Íìª-ð§-êŸÙöËº ÑÙçË¶,

x2 y2 x2 y2 : x2 + y2 = x2 + y2

100 u x = 120 u 1720

òþ§hõª ú£÷«-ëÅ¯ìÙ:- 4

120 u 1720 12 x = = = 2064 100 172

- -

- õ Íìª-ð§êŸ àŸêŸªô¢– í£ë]Ù ÔC? 2) 9.-5 3) 10.-5 4) 12.-5 2.- 16, 7, 79, 43-õÚÛª Ô ÚÛEù£’ ú£ÙÜu ÚÛ«è…ê¶ ÷à¶a ú£ÙÜuõª Íìª-ð§-êŸÙöËº ÑÙæ°ô³?

ú£-÷«-ëÅ¯ìÙ:- 2 ví£:- ÖÚÛ vð§ëÇ]-NªÚÛ ð§ôÈ¢-ø‹-õöËº 60 ÷ªÙC Në¯u-ô¢ª–-õÚÛª ÷³Þœª_ô¢ª Ñð§-ëÅ¯u-óŸ³õª ÑÙè¯L.- Î ð§ôÈ¢-ø‹-õöËº

1) 11.5

1) 5

2) 6

3. a b, a2 b2, x x

Nõª÷?

3) 3

4) 2

õª Íìª-ð§-êŸÙöËº ÑÙçË¶

1) (a b) (a2 + b2)

x + 1 6 = x 1 5

(Componendo and Dividendo Rule)

þ§-ëÅ]ì:-

4) 2064

1.1.5, 4.5, 3.5

(Componendo and Dividendo Rule)

(x + 1) + (x 1) 6 + 5 = (x + 1) (x 1) 6 5

y2 = xz.

3) 1964

ÍòÅ°uú£ ví£øŒoõª

341 + 91 341 91

x2 y2 : x2 + y2 = ?

x, y, z

4) 15

2) 1984

þ§ëÅ]ì:- ÞœêŸ Ôè¯C CÞœª-ñè… =- 100%- ÍìªÚÛªÙçË¶ Ð Ôè¯C CÞœª-ñè… =- 100%- +- 20%- =- 120%ÞœêŸ Ôè¯C CÞœª-ñè… =- 1720 ñþ§hõª Ð Ôè¯C CÞœª-ñè… = x ñþ§hõª ÍìªÚÛªÙçË¶Ïí£±pè[ª 100% : 120% = 1720 : x

(x3 + 3x) + (3x2 + 1) (x3 + 3x) (3x2 + 1)

(x + 1)3 63 6 3 = = (x 1)3 53 5

õª Íìª-ð§-êŸÙöËº ÑÙçË¶,

Nõª÷?

x3 + 3x 341 = 2 3x + 1 91

x2 + 10x + 25 = x2 + 9x + 2x + 18

?x=7

ú£-÷«-ëÅ¯ìÙ:- 1

3) 13

432 216 = 250 225

25 18 = 11x 10x 7 = x

ví£:-

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(x + 2) (x + 9) (x + 5) (x + 5)2 = (x + 2) (x + 9) x2 + 10x + 25 = x2 + 11x + 18

1) 2084

ví£:- Íìª-ð§êŸ ëÅ]ô¦t-õìª Ñí£-óμ«-TÙ# 1) 10

p2r2

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ú£-÷«-ëÅ¯ìÙ:- 2 ví£:- 23, 30, 57, 78õ ìªÙ# Ô ú£ÙÜuìª B›ú›úh ÷à¶a ú£ÙÜuõª Íìª-ð§-êŸÙöËº ÑÙæ°ô³? 3) 7

)

1) p2 + q2 + r2

p2r2

2 u 4.5 = 9

2) 6

r 1 1 1 4 q + =? r2 p2 q 2

(

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1) 4

q4 q4 1 1 1 q4 q4 + = + 2 2 2 2 2 p q r p q r2

ú£-÷«-ëÅ¯ìÙ: 4 4.-5õ Íìª-ð§êŸ àŸêŸªô¢– í£ë]Ù? 2) 9

x2 xz x(x z) = x(x + z) x2 + xz (x z) = (x z) : (x + z) (x + z)

100 u 2080 = x x = 4 u 2080 = 8320 25

? x =- ~ 8320 ú£-÷«-ëÅ¯ìÙ:- 3 ví£:- ÖÚÛ ·ôjêŸªÚÛª ÞœêŸ Ôè¯C í£Ah í£ÙåöËº 1720 ñþ§hõ CÞœª-ñè… ÷#aÙC.- Ð Ôè¯C ÍêŸè[ª ú£·ôjì ÷u÷þ§óŸª í£ë]ÌÄ-êŸªõª ð§æ¨Ù-àŸè[Ù ÷õx í£Ùå 20%- CÞœªñè… ÓÚÛª\÷ ÷ú£ªhÙ-ë]E òÅ°N-ú£ªh-û¦oè[ª.- Íô³ê¶ Ð Ôè¯C ÍêŸè[ª ÓEo ñþ§hõ CÞœª-ñè… ÎP-ú£ªh-û¦oè[ª?

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þ§ëÅ]ì:-

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1) 8

2) p : q

4) 6789

100 u 2080 = 25 u x

ÎôÂíˆÓíÆÃ ví£ê¶uÚÛÙ

p2 : q2 = ?

p : q = q : r q2 = pr

(

1 4) 2

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ví£:-

ú£-÷«-ëÅ¯ìÙ:- 2

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ì÷´û¦ ví£øŒoõª -

p:q=q:r

3) 8320

100% : 25% = x : 2080

1794 1710 = 101x 87x 14x = 84

(Rule of Substranendo)

2) 9087

þ§ëÅ]ì:- îμ³êŸhÙ ö°òÅ¡Ù =- 100%-, Íô³ê¶ ÚÛü°ué¨ Bú£ª-ÚÛªìo ö°òÅ¡Ù =- 25%îμ³êŸhÙ ö°òÅ¡Ù =- x ô¢«ð§-óŸªõª ÍìªÚÛªÙçË¶ ÚÛü°ué¨ Bú£ª-ÚÛªìo ö°òÅ¡Ù =- ~ 2080 -

v) (a + b) : (a b) = (c + d) : (c d)

1) 2

4) 24

ú£-÷«-ëÅ¯ìÙ:- 2 ví£:- þ¿÷ªu, ÚÛü°u-é¨õª î¦uð§ô¢ÙöËº òÅ°Þœþ§y÷³õª. ÚÛü°ué¨ ví£A-ûμõ ÷#aì ö°òÅ¡ÙöËº 25%- Bú£ª-ÚÛªÙåªÙC.- ÖÚÛ ûμõöËº ÚÛü°ué¨ Bú£ª-ÚÛªìo îμ³êŸhÙ ~ 2,080 Íô³ê¶ Î ûμõöËº î¦JÚ¨ ÷#aì îμ³êŸhÙ ö°òÅ¡Ù ÓÙêŸ? sô¢«ð§-óŸªöËºxz

iii) (a + b) : b = (c + d) : d (Rule of

3 2) 2

3) 23

? x = 21

i) a : c = b : d (Alternendo Rule)

2) 21

÷ªÙC Në¯u-ô¢ª–-õÚÛª ÑÙè¯Lqì Ñð§-ëÅ¯u-óŸ³õª =- 3 Në¯u-ô¢ª–õ ú£ÙÜuÚÛª, Ñð§-ëÅ¯u-óŸ³õ ú£ÙÜuÚÛª ÷ªëÅ]u Eù£pAh = -60 : 3 420 ÷ªÙC Në¯u-ô¢ª–-õÚÛª ÑÙè¯Lqì Ñð§ëÅ¯uóŸ³õª = x Në¯u-ô¢ª–õ ú£ÙÜuÚÛª, Ñð§-ëÅ¯u-óŸ³õ ú£ÙÜuÚÛª ÷ªëÅ]u Eù£pAh =- 420 : x 60 : 3 =- 420 : x 60

3 u 420 x = = 3 u 7 = 21 60

= ab

a b c = = = x b+ c c + a a + b

1) 19

þ§ëÅ]ì:-

60 u x = 3 u 420

i) b : a = d : c (Invertendo Rule)

ví£:

÷ªÙC Në¯u-ô¢ª–õª à¶Jê¶ Íë¶ Eù£p-AhöËº ÓÙêŸ÷ªÙC Ñð§-ëÅ¯u-óŸ³õª Ú¥î¦L?

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2) (a + b) (a2 b2) 3) (a + b) (a2 + b2)

4) (a b) (a2 b2)

õ Íìª-ð§êŸ ÷ªëÅ]u÷ªÙ 6; x, y õ Íìªð§êŸ êŸ”BóŸª í£ë]Ù 48 Íô³ê¶ x, y Nõª-÷õª ÷ô¢ª-ú£Þ¥?

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Aô¢ª#ô¦í£LxsêŸNªüŒû¦è[ªzöËºE òÅ°ô¢êÂ šï°O ÓövËÚ¨dÚÛöËÀq LNªçËμèÂn ÍvšíÙæ¨úÃ P¤ÛéÚÛª ë]ô¢Ý°ú£ªhõª ÚÁô¢ªêÁÙC. H ÍvšíÙæ¨úÃn Ý°Sõª: vÞ¥è[ªuó¶ªæËÀn 191, çËμÚ©où‡óŸªûËÂn 250. îμ³êŸhÙ: 441. H NòÅ°Þ¥õª: îμªÚ¥EÚÛöËÀ, ÐÐÐ/ Ð&Õ, ÐúˆÐ, úˆÓúÃÐ/ Õæ©, ú‡NöËÀ, ·ÚNªÚÛöËÀ, îμ«vè[ûËÂ ÎíÆˆúÃ vð§Ú©dúÃ. H Íô¢|êŸ: ú£ÙñÙCÅêŸ NòÅ°ÞœÙöËº ÏÙ>FJÙÞÂ è…vU/ è…ð»x÷« 2016, 2017, 2018 Në¯uú£Ù÷êŸqô¦öËºx ÑBhô¢ªgöËμj ÑÙè¯L. H ÷óŸªú£ª: 18 ìªÙ# 27 ÔüŒx ÷ªëÅ]u ÑÙè¯L. H P¤Ûé Ú¥öËÙ: Ôè¯C. H ÎûËÂöËμjûËÂ ë]ô¢Ý°ú£ªh #÷Jê¶C: 05.11.2018.

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You don't need to come unless you want to IBPS Clerks - General English Directions (Q.No.1-5): Read each sentence to find out whether there is any grammatical mistake/ error in it. The error, if any, will be in one part of the sentence. Mark the number of that part with error as your answer. If there is 'No error', mark (5) as your answer. 1. The European Parliament voted overwhelmingly (1)/ for an EUwide ban on single-use plastics (2)/ like as straws, cutlery, cotton buds (3)/ and balloon sticks. (4)/ No error (5) 2. The spread of online transactions (1)/ has brought along unscrupulous entities (2)/ to defraud people on the web. (3)/ At times such attempt result into monetary loss. (4)/ No

error (5) 3. Campaigners urge governments to enact law (1)/ that protect women's dignity (2)/ and reject any religious argument for polygamy, (3)/ saying the practice shackles women. (4)/ No error (5) 4. The government has proposed several amendments (1)/ to the GST law to make it more business-friendly (2)/ and allow tax credit (3)/ that will help lower the tax burden. (4)/ No error (5) 5. Google rolled out new tools (1)/ that will give users (2)/ more control with (3)/ their search history. (4)/ No error (5) Directions (Q.No.6-10): Which of the phrases (1), (2), (3), and (4) given below each sentence should replace the phrase underlined in

the sentence to make it grammatically correct? If there is no error mark (5) No correction required as your answer. 6. The vivid photos of majestic animals and colourful birds from the wild-life park is a graphic depiction of what is beautiful in the continent of Africa. 1) is a graphic depiction of what was beautiful in 2) are graphic depictions of what is beautiful in 3) is a beautiful and graphic depiction of 4) is the beautiful and graphic depiction of 5) No correction required 7. He is anxious not only to acquire knowledge but also eager to display it. 1) He is anxious to acquire

knowledge not only but also eager to display it. 2) He is anxious not only to knowledge acquire but also eager to display it. 3) He is anxious not only to acquire knowledge but also to eager display it. 4) He is anxious not to only acquire knowledge but to also eager display it. 5) No correction required 8. An Indian ship laden with merchandize got drowned in the Pacific Ocean. 1) drowns in the Pacific Ocean 2) is got drowned into the Pacific Ocean 3) gets drowned along the Pacific Ocean 4) drowned in the Pacific Ocean 5) No correction required

9. The small child does whatever his father was done. 1) has done 2) did 3) does 4) had done 5) No correction required 10. You need not come unless you want to. 1) You don't need to come unless you want to 2) You come only when you want to 3) You come unless you don't want to 4) You needn't come until you don't want to 5) No correction required

KEY 1) 3 6) 2

2) 4 7) 5

3) 1 8) 4

4) 3 5) 3 9) 3 10) 1

K. Lalitha Bai Subject Expert.

X¯óÁø£yês¡+ 2 qe+ãsY, 2018

4 Hï³ï³GïÜÞÌZ Væü™èþ…ÌZ Ðèþ_a¯èþ {ç³Ôèý²Ë$

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GENERAL AWARENESS

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