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1 25/01/2017 t CGL-16 TIER-II MATHS PAPER DATED REGISTRATION NUMBER : EXAM DATE : 1-December-2016 EXAM NAME : SSC Examination 2016 TOTAL MARKS : 200 QID : Let 0 < x < 1. Then the correct inequality is य 耂 द 0 < x < 1 ह, त सह 霅 असमत ȅ य ह ग? 1) x < x < x 2 2) x < x < x 2 3) x 2 < x < x 4) x < x 2 < x Correct Answ er: x 2 < x < x Candidate Answ er: x 2 < x < x CANDIDATE NAME : EXAM START TIME : 10:00:00 EXAM DURATION : 02:00 Hrs TOTAL NO OF QUESTIONS : 100 QID : Three bells ring at interval of 36 seconds, 40 seconds and 48 seconds respectively. They start ringing together at a particular time. They will ring together after every त न घ 耂 टय 䈆 मश: 36 स कⰄ ड, 40 स कⰄ ड और 48 स कⰄ ड क अⰄ तर ल पर बजत ह. व 耂 कस 耂 व 耂 श 调 ट समय पर एक स थ बजन श 㠅 ह त ह व 耂 कतन समय अⰄ तर ल ब द एक स थ बजग? 1) 6 minutes 6 耂 मनट 2) 12 minutes 12 耂 मनट 3) 18 minutes 18 耂 मनट 4) 24 minutes 24 耂 मनट Correct Answ er: 12 minutes 12 耂 मनट Candidate Answ er: 12 minutes 12 耂 मनट QID : If the sum of the digits of a three digit number is subtracted from that number, then it will always be divisible by 耂 कस त न अ कᘂ क 훅 स 氅 य क उसक य ग स घट 耂 दय ज ए त वह सद व ह 霅 耂 कसस 耂 वभ ȅ य ह ग? 1) 3 only म 阄 3 2) 9 only म 阄 9 3) both 3 and 9 3 एव 9 द नᘂ स 4) all of 3,6 and 9 3,6 एव 9 सभ स Correct Answ er: both 3 and 9 3 एव 9 द नᘂ स Candidate Answ er: both 3 and 9 3 एव 9 द नᘂ स 1/33

2 QID : Which of the following is correct? 耂 न 頄 न 耂 ल 耂 खत म स क न-स सह 霅 ह? 1) 2/3 < 3/5 < 11/15 2) 3/5 < 2/3 < 11/15 3) 11/15 < 3/5 < 2/3 4) 3/5 < 11/15 < 2/3 Correct Answ er: 3/5 < 2/3 < 11/15 Candidate Answ er: 11/15 < 3/5 < 2/3 QID : The greater of the two numbers whose product is 900 and sum exceeds their difference by 30 is द स 氅 य ओ म स वह बड़ स 氅 य क न-स ह जसक ग णनफल 900 और ज ड़, उनक अⰄ तर स 30 अ 耂 धक ह? 1) 60 2) 75 3) 90 4) 100 Correct Answ er: 60 Candidate Answ er: 60 QID : ) 13/60 2) 1/4 3) 17/60 4) 43/60 Correct Answ er: 43/60 Candidate Answ er: 43/60 QID : ) 38 2) -38 3) 24 4) -24 Correct Answ er: -24 Candidate Answ er: /33

3 QID : The sum of three positive numbers is 18 and their product is 162. If the sum of two numbers is equal to the third then the sum of squares of the numbers is त न धन 萃 मक स 氅 य ओ क य ग 18 ह और उनक ग णनफल 162 ह य 耂 द द स 氅 य ओ क य ग त सर 霅 स 氅 य क बर बर ह त स 氅 य ओ क वगᘂ क ज ड़ ȅ य ह ग? 1) 120 2) 126 3) 132 4) 138 Correct Answ er: 126 Candidate Answ er: 126 QID : The sum of three consecutive even numbers is 28 more than the average of these three numbers. Then the smallest of these three numbers is त न 䈆 म गत सम स 氅 य ओ क ज ड़ इन त नᘂ स 氅 य ओ क औसत स 28 अ 耂 धक ह इन त नᘂ स 氅 य ओ म स सबस छ ट 霅 स 氅 य बत इए? 1) 6 2) 12 3) 14 4) 16 Correct Answ er: 12 Candidate Answ er: 12 QID : In a division sum, the divisor 'd' is 10 times the quotient 'q' and 5 times the remainder 'r'. If r = 46, the dividend will be भ ग क 耂 कस 찄 ៰ न म भ जक (d) भ गफल (q) स 10 ग ण और श ष (r) स 5 ग ण ह य 耂 द r = 46 ह त भ ȅ य ȅ य ह ग? 1) ) ) ) 4276 Correct Answ er: 5336 Candidate Answ er: 5336 QID : A man can do a piece of work in 30 hours. If he works with his son then the same piece of work is finished in 20 hours. If the son works alone he can do the work in क ई 调 य ȅत 耂 कस क म क 30 घⰄ ट म कर सकत ह य 耂 द वह अपन प 阄 क स थ 耂 मल कर वह 霅 क म कर त क म 20 घⰄ ट म प र ह ज त ह य 耂 द प 阄 अक ल क म कर त वह क म 耂 कतन समय म प र कर ग? 1) 60 hours 60 घ ट 2) 50 hours 50 घ ट 3) 25 hours 25 घ ट 4) 10 hours 10 घ ट Correct Answ er: 60 hours 60 घ ट Candidate Answ er: 60 hours 60 घ ट QID : A water tap fills a tub in 'p' hours and a sink at the bottom empties it in 'q' hours. If p<q and both tap and sink are open, the tank is filled in 'r' hours; then एक प न क नल 耂 कस टब क 'p' घⰄ ट म भर सकत ह और न च लग 耂 स क उस 'q' घⰄ ट म ख ल 霅 करत ह य 耂 द p<q और नल व 耂 स क द नᘂ ख ल हᘂ त टब 'r' घⰄ ट म भर ग, त - 3/33

4 1) 2) 3) r = p + q 4) r = p - q Correct Answ er: Candidate Answ er: QID : John does 1/2 piece of work in 3 hours, Joe does 1/4 of the remaining work in 1 hour and George finishes remaining work in 5 hours. How long would it have taken the three working together to do the work? ज न 耂 कस क म क 1/2 भ ग क 3 घⰄ ट म करत ह, ज ए श ष क म क 1/4 भ ग 1 घⰄ ट म करत ह और ज ज 圀 श ष क म 5 घⰄ ट म सम 调 त कर द त ह य 耂 द व त नᘂ 耂 मल कर क म करत त क म 耂 कतन समय म सम 调 त ह ज त? 1) 2) 3) 4) Correct Answ er: Candidate Answ er: QID : A does 2/5 of a work in 9 days. Then B joined him and they together completed the remaining work in 6 days. B alone can finish the whole work in A 耂 कस क म क 2/5 भ ग क 9 耂 दन म करत ह 耂 फर B आ ज त ह और व द नᘂ 耂 मल कर श ष क म 6 耂 दन म सम 调 त कर द त ह B अक ल उस क म क 耂 कतन 耂 दन म प र कर ग? 4/33

5 1) 2) 3) 10 days 10 耂 दन 4) 18 days 18 耂 दन Correct Answ er: 18 days 18 耂 दन Candidate Answ er: QID : The daily wages of A and B respectively are Rs.3.50 and When A finishes a certain work, he gets a total wage of Rs. 63. When B does the same work, he gets a total wage Rs.75. If both of them do it together what is the cost of the work? A और B क 훅 द 耂 नक मज़द र 霅 䈆 मश: 3.50 㠅 और 2.50 㠅 ह A जब क म सम 调 त कर ल त ह त उस क ल 63 㠅 मज़द र 霅 क 㠅 प म 耂 मलत ह जब B उस क म क करत ह त मजद र 霅 क 㠅 प म 75 㠅 耂 मलत ह य 耂 द व द नᘂ एक स थ 耂 मल कर वह 霅 क म कर त क म क 훅 ȅ य ल गत आएग? 1) Rs 㠅 2) Rs 㠅 3) Rs 㠅 4) Rs 㠅 Correct Answ er: Rs 㠅 Candidate Answ er: Rs 㠅 QID : A man does double the work done by a boy in the same time. The number of days that 3 men and 4 boys will take to finish a work which can be done by 10 men in 8 days is एक आदम सम न समय म एक लड़क स द ग न क म करत ह बत इए वह क म 3 आदम और 4 लड़क 耂 कतन 耂 दन म कर लग ज 10 आदम 8 耂 दन म करत ह? 1) 4 2) 16 3) 4) Correct Answ er: 16 Candidate Answ er: 16 QID : The marked price of an article is 30% higher than the cost price. If a trader sells the articles allowing 10% discount to customer, then the gain percent will be 耂 कस व 頄 त क훅 अ 耂 कत क훅 मत उसक 䈆 य म 頄 य स 30% अ 耂 धक ह य 耂 द क ई 调 य प र 霅 उस 10% छ ट द कर ब च त उसक ल भ 찄耂 तशत बत इए? 5/33

6 1) 17 2) 20 3) 19 4) 15 Correct Answ er: 17 Candidate Answ er: 17 QID : A merchant marked the price of an article by increasing its production cost by 40%. Now he allows 20% discount and gets a profit of Rs. 48 after selling it. The production cost is एक 调 य प र 霅 耂 कस व 頄 त क म 頄 य उसक उ 萃 प दन ल गत पर 40% क 훅 व 耂氅 पर तय करत ह अब वह 20% छ ट पर ब चकर 48 㠅 क म न फ कम त ह उ 萃 प दन ल गत ȅ य ह? 1) Rs 㠅 2) Rs 㠅 3) Rs 㠅 4) Rs 㠅 Correct Answ er: Rs 㠅 QID : A watch dealer pays 10% customs duty on a watch which costs Rs.500 abroad. He desires to make a profit of 20% after giving a discount of 25% to the buyer. The marked price should be एक घड़ 耂 व 䈆 त एक घड़ पर, ज उस 耂 वद श म 500 㠅 क 훅 पड़त ह, 10% स म श 頄 क द त ह वह खर 霅 द रᘂ क 25% क 훅 छ ट द कर 20% ल भ कम न च हत ह त बत इए उसक 훅 अ 耂 कत क 훅 मत ȅ य ह न च 耂 हए? 1) Rs 㠅 2) Rs 㠅 3) Rs 㠅 4) Rs 㠅 Correct Answ er: Rs 㠅 Candidate Answ er: Rs 㠅 QID : A shopkeeper allows 20% discount on his advertised price and to make a profit of 25% on his outlay. What is the advertised price (in Rs.) on which he gains Rs. 6000? क ई द क नद र अपन 耂 व 栆 耂 पत क 훅 मत पर 20% क 훅 छ ट द त ह त 耂 क उसक प 耂 र 调 यय पर उस 25% क ल भ ह वह 耂 व 栆 耂 पत क 훅 मत ( 㠅 पयᘂ म) बत इए जस पर उस 6000 㠅 क ल भ ह त ह? 1) ) ) ) Correct Answ er: QID : Rs.2420 were divided among A, B, C so that A : B = 5 : 4 and B : C = 9 : 10 then C gets 2420 㠅 क 훅 र 耂 श A, B, C म इस 찄 क र 耂 वत 耂 रत क 훅 गई 耂 क A : B = 5 : 4 और B : C = 9 : 10, त बत इए C क ȅ य 耂 मल? 6/33

7 1) 680 2) 800 3) 900 4) 950 Correct Answ er: 800 Candidate Answ er: 800 QID : Kg of blended tea contain Assam and Darjeeling tea in the ratio 5 : 2. Then the quantity of Darjeeling tea is to be added to the mixture to make the ratio of Assam to Darjeeling tea 2 : 1 is 49 耂 क. 鐅. क च य क 耂 मꈅण म असम और द ज 圀 耂 ल ग क 훅 च य क अन प त 5 : 2 ह अब असम और द ज 圀 耂 ल ग क 훅 च य क अन प त क 2 : 1 करन क 耂 लए 耂 कस म 阄 म द ज 圀 耂 ल ग क 훅 च य क 耂 मꈅण म 耂 मल न च 耂 हए? 1) 4.5 Kg 4.5 耂 क. 鐅. 2) 3.5 Kg 3.5 耂 क. 鐅. 3) 5 Kg 5 耂 क. 鐅. 4) 6 Kg 6 耂 क. 鐅. Correct Answ er: 3.5 Kg 3.5 耂 क. 鐅. Candidate Answ er: 3.5 Kg 3.5 耂 क. 鐅. QID : Among 132 examinees of a certain school, the ratio of successful to unsuccessful students is 9 : 2. Had 4 more students passed, then the ratio of successful to unsuccessful students will be 耂 कस 頄 क ल क 132 पर 霅 韔 耂 थ 圀 यᘂ म स सफल छ 阄 ᘂ क असफल छ 阄 ᘂ स अन प त 9 : 2 ह य 耂 द 4 और छ 阄 उ 萃 त ण 圀 ह ज त त सफल छ 阄 ᘂ क असफल छ 阄 ᘂ स ȅ य अन प त ह त? 1) 14 : 3 2) 14 : 5 3) 28 : 3 4) 28 : 5 Correct Answ er: 28 : 5 Candidate Answ er: 28 : 5 QID : In a regiment the ratio between the number of officers to soldiers was 3 : 31 before battle. In a battle 6 officers and 22 soldiers were killed and the ratio became 1 : 13, the number of officers in the regiment before battle was 耂 कस र जम Ⰴ ट म य 氅 स पहल अफसरᘂ क जव नᘂ क अन प त 3 : 31 थ य 氅 म 6 अफसर और 22 जव न म र गए और यह अन प त 1 : 13 ह गय य 氅 स पहल र जम Ⰴ ट म अफसरᘂ क 훅 स 氅 य ȅ य थ? 1) 31 2) 38 3) 21 4) 28 Correct Answ er: 21 QID : Three containers have their volumes in the ratio 3 : 4 : 5. They are full of mixtures of milk and water. The mixtures contain milk and water in the ratio of (4 :1), (3 : 1) and (5 : 2) respectively. The contents of all these three containers are poured into a fourth container. The ratio of milk and water in the fourth container is त न कⰄ ट नरᘂ क आयतन क अन प त 3 : 4 : 5 ह उनम द ध और प न क 耂 मꈅण भर ह 耂 मꈅण म 䈆 मश: (4 : 1), (3 : 1) और (5 : 2) क अन प त म द ध और प न ह इन त नᘂ कⰄ ट नरᘂ क 耂 मꈅण क एक च थ कⰄ ट नर म उड ल 耂 दय ज त ह च थ कⰄ ट नर म द ध और प न क अन प त बत इए? 7/33

8 1) 4 : 1 2) 151 : 48 3) 157 : 53 4) 5 : 2 Correct Answ er: 157 : 53 Candidate Answ er: 151 : 48 QID : In what proportion must a grocer mix sugar at Rs.12 a kg and Rs.7 a kg so as to make a mixture worth Rs.8 a kg? क ई द क नद र 耂 कस अन प त म 12 㠅찄耂 त 耂 क. 鐅. व ल 霅 और 7 㠅찄耂 त 耂 क. 鐅. व ल 霅 च न क 耂 म 耂 ꈅत कर 耂 क 耂 मꈅण क म 頄 य 8 㠅찄耂 त 耂 क. 鐅. बन ज ए? 1) 7 : 12 2) 1 : 4 3) 2 : 3 4) 12 : 7 Correct Answ er: 1 : 4 Candidate Answ er: 1 : 4 QID : Fifteen movie theatres average 600 customers per theatre per day. If six of the theatres close down but the total theatre attendence stays the same, then the average daily attendence per theatre among the remaining theatres is 15 चल 耂 च 阄耂 थय टरᘂ म औसतन 찄耂 त 耂 दन 찄萃 य क 耂 थय टर म 600 दश 圀 क आत ह य 耂 द उनम स 6 耂 थय टर बⰄ द ह गए 耂 कⰄ त 耂 थय टर म आन व लᘂ क 훅 क ल उप 頄 थ 耂 त वह 霅 रहत ह त श ष 耂 थय टरᘂ म स 찄萃 य क 耂 थय टर म दश 圀 कᘂ क 훅 औसतन द 耂 नक उप 頄 थ 耂 त ȅ य ह? 1) 900 2) ) ) 1200 Correct Answ er: 1000 Candidate Answ er: 1000 QID : The average weight of A, B and C is 45 kg. If the average weight of A and B be 40 kg and that of B and C be 43 kg, then the weight of B is: A, B और C क औसत वज़न 45 耂 क. 鐅. ह य 耂 द A और B क औसत वज़न 40 耂 क. 鐅 ह और B और C क 43 耂 क. 鐅. ह त B क वज़न बत इए? 1) 31 kg 31 耂 क. 鐅. 2) 32 kg 32 耂 क. 鐅. 3) 29.5 kg 29.5 耂 क. 鐅. 4) 35 kg 35 耂 क. 鐅. Correct Answ er: 31 kg 31 耂 क. 鐅. QID : The batting average for 40 innings of a cricket player is 50 runs. His highest score exceeds his lowest score by 172 runs. If these two innings are excluded, the average of the remaining 38 innings is 48 runs. The highest score of the player is 耂 कस 耂 क 䈆 ट क 耂 खल ड़ क 40 प 耂 रयᘂ म ब 頄 ल ब ज क औसत 50 रन ह उसक अ 耂 धकतम 頄 क र उसक Ⰴ य नतम 頄 क र स 172 रन अ 耂 धक ह य 耂 द इन द प 耂 रयᘂ क श 耂 मल न 耂 कय ज ए त श ष 38 प 耂 रयᘂ क औसत 48 रन बनत ह 耂 खल ड़ क अ 耂 धकतम 頄 क र बत इए? 8/33

9 1) 165 2) 170 3) 172 4) 174 Correct Answ er: 174 Candidate Answ er: 174 QID : The average of 7 consecutive numbers is 20. The largest of these numbers is 7 䈆 म गत स 氅 य ओ क औसत 20 ह इनम स सबस बड़ स 氅 य ȅ य ह? 1) 20 2) 23 3) 24 4) 26 Correct Answ er: 23 Candidate Answ er: 23 QID : Mukesh has twice as much money as Soham. Soham has 50% more money than Pankaj. If the average money with them is Rs.110, then Mukesh has म क श क प स स हम स द ग न धनर 耂 श ह स हम क प स प कज स 50% अ 耂 धक धनर 耂 श ह य 耂 द उनक प स औसतन धनर 耂 श 110 㠅 ह त म क श क प स 耂 कतन धनर 耂 श ह? 1) 155 2) 160 3) 180 4) 175 Correct Answ er: 180 Candidate Answ er: 180 QID : The average daily income of 7 men, 11 women and 2 boys is Rs If the average daily income of the men is Rs.10 more than that of women and the average daily income of the women is Rs.10 more than that of boys, the average daily income of a man is 7 प 㠅 षᘂ, 11 頄阄 यᘂ और 2 लड़कᘂ क 훅 औसत द 耂 नक आय 㠅 ह य 耂 द प 㠅 षᘂ क 훅 औसत द 耂 नक आय 頄阄 यᘂ क 훅 औसत द 耂 नक आय स 10 㠅 अ 耂 धक ह और 頄阄 यᘂ क 훅 औसत द 耂 नक आय लड़कᘂ क 훅 औसत द 耂 नक आय स 10 㠅 अ 耂 धक ह त बत इए 耂 क एक प 㠅 ष क 훅 औसत द 耂 नक आय 耂 कतन ह? 1) Rs 㠅 2) Rs 㠅 3) Rs 㠅 4) Rs 㠅 Correct Answ er: Rs 㠅 QID : If the profit on selling an article for Rs.425 is the same as the loss on selling it for Rs.355, then the cost price of the article is 耂 कस व 頄 त क 425 㠅 पर ब चन पर ल भ वह 霅 ह ज उस 355 㠅 पर ब चन पर ह 耂 न ह त उस व 頄 त क 䈆 य म 頄 य ȅ य ह? 1) Rs 㠅 2) Rs 㠅 3) Rs 㠅 4) Rs 㠅 9/33

10 Correct Answ er: Rs 㠅 Candidate Answ er: Rs 㠅 QID : A & B jointly made a profit of Rs.1650 and they decided to share it such that 1/3 of A's profit is equal to 2/5 of B's profit. Then profit of B is A और B क स य ȅत 㠅 प स 1650 㠅 क ल भ ह आ और उⰄहᘂन 耂 न ៰ चत 耂 कय 耂 क व उसक इस 찄 क र 耂 ह 頄 स करग 耂 क A क ल भ क 1/3 भ ग B क ल भ क 2/5 भ ग क बर बर ह B क ल भ बत इए? 1) Rs 㠅 2) Rs 㠅 3) Rs 㠅 4) Rs 㠅 Correct Answ er: Rs 㠅 Candidate Answ er: Rs 㠅 QID : % of the selling price of an article is equal to 5% of its cost price. Again 20% of the selling price is Rs.120 more than 22% of its cost price. The ratio of cost price & selling price is 耂 कस व 頄 त क 耂 व 䈆 य म 頄 य क 4% उसक 䈆 य म 頄 य क 5% क बर बर ह प न: 耂 व 䈆 य म 頄 य क 20% उसक 䈆 य म 頄 य क 22% स 120 㠅 अ 耂 धक ह 䈆 य म 頄 य और 耂 व 䈆 य म 頄 य क अन प त बत इए? 1) 2 : 3 2) 3 : 2 3) 4 : 5 4) 5 : 4 Correct Answ er: 4 : 5 QID : Due to 25% fall in the rate of eggs, one can buy 2 dozen eggs more than before by investing Rs.162. Then the orignal rate per dozen of the eggs is अⰄडᘂ क द मᘂ म 25% क 훅 耂 गर वट ह न पर 162 㠅 म पहल क 훅 अप 韔 2 दज 圀 न अⰄ ड अ 耂 धक खर 霅 द ज सकत ह बत इए म ल 㠅 प स 찄耂 त दज 圀 न अⰄ डᘂ क 훅 ȅ य क 훅 मत थ? 1) Rs 㠅 2) Rs 㠅 3) Rs 㠅 4) Rs 㠅 Correct Answ er: Rs 㠅 QID : Last year Mr. A bought two paintings. This year he sold them for Rs. 20,000 each. On one, he made a 25% profit and on the other he had a 25% loss. Then his net profit or loss is 耂 पछल वष 圀 ꈅ A न द 耂 च 阄 क र 霅 खर 霅 द 霅 इस वष 圀 उⰄ हᘂन उनम स 찄萃 य क 耂 च 阄 क र 霅 क 20,000 㠅찄耂 त 耂 च 阄 क र 霅 क 耂 हस ब स ब च उनम स एक पर उⰄ ह 25% ल भ और द सर 霅 पर 25% ह 耂 न ह ई ꈅ A क 耂 नबल ल भ य ह 耂 न बत इए? 10/33

11 1) He lost more than Rs.2000 उⰄह 2000 㠅 स अ 耂 धक क 훅 ह 耂 न ह ई 2) He lost less than Rs उⰄह 2000 㠅 स कम क 훅 ह 耂 न ह ई 3) He earned more than Rs उⰄह 2000 㠅 स अ 耂 धक क ल भ ह आ 4) He earned less than Rs.2000 उⰄह 2000 㠅 स कम क ल भ ह आ Correct Answ er: He lost more than Rs.2000 उⰄह 2000 㠅 स अ 耂 धक क훅 ह 耂 न ह ई Candidate Answ er: He lost less than Rs उⰄह 2000 㠅 स कम क훅 ह 耂 न ह ई QID : A shopkeeper sells rice at 10% profit and uses weight 30% less than the actual measure. His gain percent is क ई द क नद र 10% ल भ पर च वल ब चत ह और व 頄 त 耂 वक त ल स 30% कम क ब 頄 इ 頄 त म ल करत ह उसक ल भ 찄耂 तशत बत इए? 1) 2) 3) 4) Correct Answ er: QID : What % of a day is 30 minutes? 30 耂 मनट एक 耂 दन क 耂 कतन 찄耂 तशत ह? 1) ) ) ) Correct Answ er: Candidate Answ er: QID : A businessman's earning increase by 25% in one year but decreases by 4% in the next. Going by this pattern, after 5 years, his total earnings would be Rs What is his present earning? 耂 कस 调 य प र 霅 क 훅 आय एक वष 圀 म 25% बढ़ ज त ह और उसक अगल वष 圀 4% घट ज त ह इस 찄 क र प च वष 圀 प៰ च त उसक 훅 क ल आय 㠅 ह ग उसक 훅 वत 圀 म न आय 耂 कतन ह? 1) Rs 㠅 2) Rs 㠅 3) Rs 㠅 4) Rs 㠅 Correct Answ er: Rs 㠅 11/33

12 Candidate Answ er: Rs 㠅 QID : In an examination 73% of the candidates passed in quantitative aptitude test, 70% passed in General awareness and 64% passed in both. If 6300 failed in both subjects the total number of examinees were 耂 कस पर 霅 韔 म 73% उ 頄 म दव र म 阄 萃 मक अ 耂 भ 韔 मत पर 霅 韔 ण (ȅ व Ⰴटट 耂 टव ए 调 ट 霅 頄 य ड ट 頄 ट) म उ 萃 त ण 圀 ह ए, 70% स म Ⰴ य 栆 न म और 64% द नᘂ 耂 वषयᘂ म उ 萃 त ण 圀 ह ए य 耂 द 6300 उ 頄 म दव र द नᘂ 耂 वषयᘂ म फ ल ह ए त बत इए क ल 耂 कतन पर 霅 韔 थᘂ थ? 1) ) ) ) Correct Answ er: Candidate Answ er: QID : A man spends 75% of his income. His income increases by 20% and his expenditure also increases by 10%. Find the percentage increase in his savings. क ई 调 य ȅत अपन आय क 75% भ ग खच 圀 करत ह उसक 훅 आय 20% बढ़ ज त ह और उसक खच 圀 भ 10% बढ़ ज त ह बत इए उसक 훅 बचत म 耂 कतन 찄耂 तशत क 훅 व 耂氅 ह ई? 1) 25% 2) 50% 3) 15% 4) 10% Correct Answ er: 50% Candidate Answ er: 50% QID : On a river, Q is the mid-point between two points P and R on the same bank of the river. A boat can go from P to Q and back in 12 hours, and from P to R in 16 hours 40 min. How long would it take to go from R to P? 耂 कस नद 霅 म, नद 霅 क एक ह 霅 耂 कन र पर द 耂 बⰄ द ओ P और R क ब च म य 耂 बⰄ द Q ह क ई न व P स Q तक और व 耂 पस 12 घⰄ ट म आ सकत ह और P स R तक 16 घⰄ ट 40 耂 मनट म आ सकत ह बत इए उस R स P तक ज न म 耂 कतन समय लग ग? 1) 2) 5 hr 5 घⰄ ट 3) 4) Correct Answ er: QID : A car can finish a certain journey in 10 hours at a speed of 42 kmph. In order to cover the same distance in 7 hours, the speed of the car (km/h) must be increased by: एक क र एक 耂 न ៰ चत द र 霅 42 耂 कम /घⰄ ट क 훅 दर स 10 घⰄ ट म प र 霅 करत ह उस द र 霅 क 7 घⰄ ट म तय करन क 耂 लए क र क 훅 ग 耂 त म 耂 कतन 耂 कम /घⰄ ट क 훅 व 耂氅 आव៰ यक ह? 12/33

13 1) 12 2) 15 3) 18 4) 24 Correct Answ er: 18 Candidate Answ er: 18 QID : A man travels 450 km to his home partly by train and partly by car. He takes 8 hrs 40 mins if he travels 240 km by train and rest by car. He takes 20 mins more if he travels 180 km by train and the rest by car. The speed of the car in km/hr is क ई 调 य ȅत 450 耂 क.म. अपन घर ज न क 耂 लए आ 耂 शक 㠅 प स र लग ड़ स और आ 耂 शक 㠅 प स क र स य 阄 करत ह य 耂 द वह 240 耂 क.म. र लग ड़ स और श ष य 阄 क र स कर त उस 8 घⰄ ट 40 耂 मनट क समय लगत ह य 耂 द वह 180 耂 क.म. र लग ड़ स और श ष य 阄 क र स कर त 20 耂 मनट क समय अ 耂 धक लगत ह क र क 훅 耂 क.म./घ. म च ल बत इए? 1) 45 2) 50 3) 60 4) 48 Correct Answ er: 45 Candidate Answ er: 45 QID : A train 'B' speeding with 100 kmph crosses another train C, running in the same direction, in 2 mins. If the length of the train B and C be 150m and 250m respectively, what is the speed of the train C (in kmph)? 100 耂 क.म./घ. क 훅 च ल स चलत ह ई 頄 न 'B', एक द सर 霅 頄 न C क, ज उस 耂 दश म ज रह 霅 ह, 2 耂 मनट म प र कर ल त ह य 耂 द 頄 न B क 훅 और C क 훅 ल 頄 ब ई 䈆 मश: 150 म. और 250 म. ह त 頄 न C क 훅 च ल ( 耂 क.म./घ.) बत इए? 1) 75 2) 88 3) 95 4) 110 Correct Answ er: 88 Candidate Answ er: 88 QID : The compound interest on Rs. 30,000 at 7% per annum for n years is Rs The value of n is 30,000 㠅 क 훅 र 耂 श पर 7% व 耂 ष 囀 क दर स n वषᘂ क 耂 लए च 䈆 व 耂氅调 य ज 4347 㠅 ह n क म न बत इए? 1) 3 2) 2 3) 4 4) 5 Correct Answ er: 2 Candidate Answ er: 2 QID : If A borrowed Rs. P at x% and B borrowed Rs. Q (>P) at y% per annum at simple interest at the same time, then the amount of their debts will be equal after य 耂 द A न x% व 耂 ष 圀 क दर पर P 㠅 और B न y% व 耂 ष 圀 क दर पर Q 㠅 (>P) एक ह 霅 समय पर (स ध रण 调 य ज पर) उध र 耂 लए त 耂 कतन वष 圀 ब द उनक ऋण क 훅 र 耂 श बर बर ह ज एग? 13/33

14 1) 2) 3) 4) Correct Answ er: Candidate Answ er: QID : A man invested a sum of money at compound interest. It amounted to Rs in 2 years and to Rs in 3 years. Find the sum. 耂 कस 调 य ȅत न 耂 कस र 耂 श क च 䈆 व 耂氅调 य ज पर 耂 नव श 耂 कय वह र 耂 श 2 वष 圀 म 2420 㠅 और 3 वष 圀 म 2662 㠅 ह गई बत इए र 耂 श 耂 कतन थ? 1) Rs 㠅 2) Rs 㠅 3) Rs 㠅 4) Rs 㠅 Correct Answ er: Rs 㠅 Candidate Answ er: Rs 㠅 QID : If a sum of money becomes 4000 in 2 yrs and 5500 in 4 yrs 6 months at the same rate of simple interest per annum. Then the rate of simple interest is य 耂 द क ई र 耂 श स ध रण 调 य ज क 훅 एक ह 霅 (व 耂 ष 圀 क) दर पर 2 वष 圀 म 4000 㠅 और 4 वष 圀 6 म ह म 5500 㠅 ह ज त ह त स ध रण 调 य ज क 훅 दर 栆 त कर? 14/33

15 1) 2) 3) 4) Correct Answ er: Candidate Answ er: QID : A hollow cylindrical tube 20 cm long is made of iron and its external and internal diameters are 8 cm and 6 cm respectively. The volume (in cubic cm) of iron used in making the tube is (Take π = 22/7) 20 स.म. ल 頄 ब एक ख खल 霅 ब लन क र 頄 य ब ल ह क 훅 बन ह और उसक ब हर 霅 और आⰄ त 耂 रक 调 य स 䈆 मश: 8 स.म. और 6 स.म. ह 頄 य ब बन न म 찄 य ȅ त ल ह क आयतन (घन स.म. म) ȅ य ह ग? (यह म नत ह ए 耂 क π = 22/7) 1) ) 440 3) 220 4) 880 Correct Answ er: 440 Candidate Answ er: 1760 QID : If the areas of three adjacent faces of a rectangular box which meet in a corner are 12 cm 2, 15 cm 2 and 20 cm 2 respectively. Then the volume of the box is 耂 कस आयत क र बȅ स क त न स Ⰴनकट फलक, ज एक क न म 耂 मलत ह, क 韔 阄 फल 䈆 मश: 12 स.म. 2, 15 स.म. 2 और 20 स.म. 2 ह त बȅ स क आयतन ȅ य ह ग? 1) 3600 cm स.म. 3 2) 300 cm स.म. 3 3) 60 cm 3 60 स.म. 3 4) 180 cm स.म. 3 Correct Answ er: 60 cm 3 60 स.म /33

16 QID : The ratio between the length and the breadth of a rectangular park is 3 : 2. If a man cycling along the boundary of the park at the speed of 12 km/hour completes one round in 8 minutes, then the area of the park is एक आयत क र प क 圀 क 훅 ल 頄 ब ई और च ड़ ई क अन प त 3 : 2 ह य 耂 द क ई 调 य ȅत 12 耂 क.म./घ. क 훅 च ल स प क 圀 क 훅 प 耂 रस म पर स ई 耂 कल चल त ह और एक चȅ कर 8 耂 मनट म प र कर ल त ह त प क 圀 क 韔 阄 फल बत इए? 1) m म. 2 2) m म. 2 3) m म. 2 4) m म. 2 Correct Answ er: m म. 2 Candidate Answ er: m म. 2 QID : If the radius of a right circular cylinder open at both the ends, is decreased by 25% and the height of the cylinder is increased by 25%. Then the curved surface area of the cylinder thus formed य 耂 द 耂 कस ल ब व 萃 त य ब लन, ज 耂 कन रᘂ पर ख ल ह, क 훅 耂阄 ȅ य 25% कम कर द 霅 ज ए और उसक 훅 ऊ च ई 25% बढ़ द 霅 ज ए त इस 찄 क र बन ब लन क व 䈆 प 调 ठ 韔 阄 फल क स ह ग? 1) remains unaltered उसम क ई प 耂 रवत 圀 न नह 霅 ह ग 2) is increased by 25% 25% बढ़ ज एग 3) is increased by 6.25% 6.25% बढ़ ज एग 4) is decreased by 6.25% 6.25% घट ज एग Correct Answ er: is decreased by 6.25% 6.25% घट ज एग Candidate Answ er: is decreased by 6.25% 6.25% घट ज एग QID : A cylindrical pencil of diameter 1.2 cm has one of its end sharpened into a conical shape of height 1.4 cm. The volume of the material removed is एक 1.2 स.म. 调 य स व ल 霅 ब लन क र प 耂 सल क छᘂल कर श क आक र क कर 耂 दय ज त ह और उसक 훅 ऊ च ई 1.4 स.म. ह उसम स ज स म 鐅 छᘂल कर फक 훅 गई उसक आयतन बत इए? 1) cm स.म. 3 2) cm स.म. 3 3) cm स.म. 3 4) cm स.म /33

17 Correct Answ er: cm स.म. 3 Candidate Answ er: cm स.म. 3 QID : A rectangular park 60 m long and 40 m wide has two concrete crossroads running in the middle of the park and rest of the park has been used as a lawn. If the area of the lawn is 2109 m2 then the width of the road is एक आयत क र प क 圀 60 म. ल 頄 ब और 40 म. च ड़ ह और प क 圀 क ब चᘂ ब च क कर 霅 ट क 훅 द सड़क एक-द सर क प र करक च र ह बन त ह और श ष प क 圀 ल न क त र पर इ 頄 त म ल ह त ह य 耂 द ल न क 韔 阄 फल 2109 म 2 ह त सड़क क 훅 च ड़ ई बत इए? 1) 3 m 3 म. 2) 5 m 5 म. 3) 6 m 6 म. 4) 2 m 2 म. Correct Answ er: 3 m 3 म. QID : Four circles of equal radii are described about the four corners of a square so that each touches two of the other circles. If each side of the square is 140 cm then area of the space enclosed between the circumference of the circle is (take π = 22/7) 耂 कस वग 圀 क च रᘂ क नᘂ पर च र, बर बर 耂阄 ȅ य व ल व 萃 त इस 찄 क र ख च गए ह 耂 क 찄萃 य क व 萃 त द अⰄ य व 萃 तᘂ क 頄 पश 圀 करत ह य 耂 द वग 圀 क 훅 찄萃 य क भ ज 140 स.म. ह त व 萃 त क 훅 प 耂 र 耂 ध क ब च प 耂 रब 氅頄 थ न क 韔 阄 फल बत इए? (यह म नत ह ए 耂 क π = 22/7) 1) 4200 cm स.म. 2 2) 2100 cm स.म. 2 3) 7000 cm स.म. 2 4) 2800 cm स.म. 2 Correct Answ er: 4200 cm स.म. 2 Candidate Answ er: 4200 cm स.म. 2 QID : The amount of concrete required to build a concrete cylindrical pillar whose base has a perimeter 8.8 metre and curved surface area 17.6 sq. metre, is (Take π = 22/7) क कर 霅 ट क एक ब लन क र 頄 त भ, जसक 훅 तल क 훅 प 耂 र 耂 ध 8.8 म टर ह और व 䈆 प 调 ठᘂय 韔 阄 फल 17.6 वग 圀 म टर ह, क बन न म 耂 कतन क कर 霅 ट लग ग? (यह म नत ह ए 耂 क π = 22/7) 17/33

18 1) m म. 3 2) m म. 3 3) 10.5 m म. 3 4) m म. 3 Correct Answ er: m म. 3 Candidate Answ er: m म. 3 QID : A hemispherical bowl of internal radius 9 cm, contains a liquid. This liquid is to be filled into small cylindrical bottles of diameter 3 cm and height 4 cm. Then the number of bottles necessary to empty the bowl is एक अध 圀 ग ल कट र, जसक 훅 आⰄ त 耂 रक 耂阄 ȅ य 9 स.म. ह, म क छ तरल पद थ 圀 ह इस तरल क 3 स.म. 调 य स और 4 स.म. ऊ च ब लन क र ब तलᘂ म भर ज न ह बत इए इस तरल क ब तलᘂ म भरन क 耂 लए 耂 कतन ब तलᘂ क 훅 आव៰ यकत ह ग? 1) 18 2) 45 3) 27 4) 54 Correct Answ er: 54 QID : A rectangular water tank is 80 m x 40 m. Water flows into it through a pipe of 40 sq.cm at the opening at a speed of 10 km/hr. The water level will rise in the tank in half an hour is एक आयत क र प न क 훅 ट क 훅 80म.x40 म. क 훅 ह इसम 40 वग 圀 स.म. क प ईप, ज ख लन पर 10 耂 क.म./घ. क 훅 ग 耂 त स प न भरत ह बत इए ट क 훅 म आध घⰄ ट म जल 頄 तर 耂 कतन ऊपर ह ग? 1) 3/2 cm 3/2 स.म. 2) 4/9 cm 4/9 स.म. 3) 5/9 cm 5/9 स.म. 4) 5/8 cm 5/8 स.म. Correct Answ er: 5/8 cm 5/8 स.म. Candidate Answ er: 5/8 cm 5/8 स.म. QID : A square and a regular hexagon are drawn such that all the vertices of the square and the hexagon are on a circle of radius r cm. The ratio of area of the square and the hexagon is एक वग 圀 और एक सम षटभ ज इस 찄 क र बन ए गए ह 耂 क वग 圀 और षटभ ज क सभ श ष 圀 r स.म. 耂阄 ȅ य व ल व 萃 त पर ह वग 圀 और षटभ ज क 韔 阄 फलᘂ क अन प त बत इए? 18/33

19 1) 3 : 4 2) 4 : 3 3 3) 2 : 3 4) 1 : 2 Correct Answ er: 4 : 3 3 Candidate Answ er: 4 : 3 3 QID : A solid cylinder has the total surface area 231 sq. cm. If its curved surface area is 2/3 of the total surface area, then the volume of the cylinder is 耂 कस ठ स ब लन क क ल प 调 ठᘂय 韔 阄 फल 231 वग 圀 स.म. ह य 耂 द उसक व 䈆 प 调 ठᘂय 韔 阄 फल उसक क ल प 调 ठᘂय 韔 阄 फल क 2/3 ह त ब लन क आयतन ȅय ह? 1) 154 cu.cm 154 घन स.म. 2) 308 cu.cm 308 घन स.म. 3) cu.cm घन स.म. 4) 370 cu.cm 370 घन स.म. Correct Answ er: cu.cm घन स.म. QID : The lateral surface area of frustum of a right circular cone, if the area of its base is 16π cm 2 and the diameter of circular upper surface is 4 cm and slant height 6 cm, will be 耂 कस ल 頄 ब व 萃 त क र श क क 耂 छⰄनक क प ៰ व 圀 सतह क 韔 阄 फल ȅ य ह ग, जसक आध र क 韔 阄 फल 16π स.म. 2 ह, व 萃 त क र उपर 霅 सतह क 调 य स 4 स.म. ह और 耂 तरछᘂ ऊ च ई 6 स.म. ह? 1) 30π cm 2 30π स.म. 2 2) 48π cm 2 48π स.म. 2 3) 36π cm 2 36π स.म. 2 4) 60π cm 2 60π स.म. 2 Correct Answ er: 36π cm 2 36π स.म. 2 Candidate Answ er: 36π cm 2 36π स.म. 2 QID : The diameter of a sphere is twice the diameter of another sphere. The surface area of the first sphere is equal to the volume of the second sphere. The magnitude of the radius of the first sphere is एक ग लक क 调 य स एक द सर ग लक क 调 य स स द गन ह पहल ग लक क प 调 ठᘂय 韔 阄 फल द सर ग लक क आयतन क बर बर ह पहल ग लक क 훅 耂阄 ȅ य क आक र बत इए? 1) 12 2) 24 3) 16 4) 48 Correct Answ er: /33

20 Candidate Answ er: 24 QID : A right circular cylinder having diameter 21 cm & height 38 cm is full of ice cream. The ice cream is to be filled in cones of height 12 cm and diameter 7 cm having a hemispherical shape on the top. The number of such cones to be filled with ice cream is एक ल 頄 ब व 萃 त य ब लन जसक 调 य स 21 स.म. और ऊ च ई 38 स.म. ह, आइस 䈆훅 म स भर ह इस आइस 䈆훅 म क 12 स.म. ऊ च और 7 स.म. 调 य स व ल श क ओ म भर ज न ह इन श क ओ क श ष 圀 भ ग अध 圀 ग ल ह बत इए उस आइस 䈆훅 म स भर ज न व ल 耂 कतन श क (क न) बनग? 1) 54 2) 44 3) 36 4) 24 Correct Answ er: 54 QID : ) 2) 3) 4) Correct Answ er: Candidate Answ er: QID : /33

21 1) 0 2) 1 3) 3 4) 2 Correct Answ er: 0 Candidate Answ er: 0 QID : If x 2 + y 2 + 2x + 1 = 0, then the value of x 31 + y 35 is य 耂 द x 2 + y 2 + 2x + 1 = 0 ह, त x 31 + y 35 क म न 耂 नक ल 1) -1 2) 0 3) 1 4) 2 Correct Answ er: -1 Candidate Answ er: -1 QID : ) 3/4 2) 4/3 3) 3/5 4) 5/3 Correct Answ er: 4/3 Candidate Answ er: 4/3 QID : ) 90 2) 100 3) 110 4) 120 Correct Answ er: 110 Candidate Answ er: /33

22 QID : If x 4 + 2x 3 + ax 2 + bx + 9 is a perfect square, where a and b are positive real numbers, then the value of a and b are य 耂 द x 4 + 2x 3 + ax 2 + bx +9 एक स 頄 प ण 圀 वग 圀 ह जह a तथ b धन 萃 मक व 頄 त 耂 वक स 氅 य ह त a और b क म न ȅ य ह ग? 1) a = 5, b = 6 2) a = 6, b = 7 3) a = 7, b = 6 4) a = 7, b = 8 Correct Answ er: a = 7, b = 6 QID : ) 3/5 2) 5/3 3) 4/5 4) 5/4 Correct Answ er: 4/5 Candidate Answ er: 4/5 QID : ) (a 2 + b 2 + c 2 ) 2) -(a 2 + b 2 + c 2 ) 3) (a 2 + 2b 2 + c 2 ) 4) -(a 2 + b 2 + 2c 2 ) Correct Answ er: -(a 2 + b 2 + c 2 ) Candidate Answ er: -(a 2 + b 2 + c 2 ) QID : If a 3 = b 3 and a = 3 + b, then the value of a + b is : य 耂 द a 3 = b 3 और a = 3 + b ह, त a + b क म न 耂 नक ल? 1) ± 7 2) ± 49 3) ± 13 4) 0 Correct Answ er: ± 7 Candidate Answ er: ± /33

23 QID : ) 2 2) 0 3) 1 4) 1/2 Correct Answ er: 2 Candidate Answ er: 2 QID : ΔABC is similar to ΔDEF. If area of ΔABC is 9 sq.cm. and area of ΔDEF is 16 sq.cm. and BC = 2.1 cm. Then the length of EF will be ΔABC, ΔDEF क सम 㠅 प ह य 耂 द ΔABC क 韔 阄 फल 9 वग 圀 स.म. ह और ΔDEF क 韔 阄 फल 16 वग 圀 स.म. ह और BC = 2.1 स.म. ह त EF क 훅 ल 頄 ब ई बत इए? 1) 5.6 cm 5.6 स.म. 2) 2.8 cm 2.8 स.म. 3) 3.7 cm 3.7 स.म. 4) 1.4 cm 1.4 स.म. Correct Answ er: 2.8 cm 2.8 स.म. Candidate Answ er: 2.8 cm 2.8 स.म. QID : A chord of a circle is equal to its radius. The angle subtended by this chord at a point on the circumference is 耂 कस व 萃 त क 훅 ज व उसक 훅 耂阄 ȅ य क बर बर ह प 耂 र 耂 ध पर 耂 कस 耂 बⰄ द पर इस ज व 頄 व र क 韔 त 耂 रत क ण ह ग : 1) 80 2) 60 3) 30 4) 90 Correct Answ er: 30 Candidate Answ er: 60 QID : Let two chords AB and AC of the larger circle touch the smaller circle having same centre at X and Y. Then XY =? बड़ व 萃 त क 훅 द ज व AB और AC छ ट व 萃 त क, जसक क Ⰴ 頄 सम न ह, X और Y पर 頄 पश 圀 करत ह, त XY =? 1) BC 2) 3) 4) 23/33

24 Correct Answ er: Candidate Answ er: QID : Let G be the centroid of the equilateral triangle ABC of perimeter 24 cm. Then the length of AG is 24 स.म. प 耂 र 耂 ध व ल ABC समब ह 耂阄 क ण क क Ⰴ 頄 क G ह AG क훅 ल 頄 ब ई बत इए? 1) 2 3 cm 2 3 स.म. 2) 8/ 3 cm 8/ 3 स.म. 3) 8 3 cm 8 3 स.म. 4) 4 3 cm 4 3 स.म. Correct Answ er: 8/ 3 cm 8/ 3 स.म. Candidate Answ er: 8/ 3 cm 8/ 3 स.म. QID : A and B are the centres of two circles with radii 11 cm and 6 cm respectively. A common tangent touches these circles at P & Q respectively. If AB = 13cm, then the length of PQ is A और B द व 萃 तᘂ क क Ⰴ 頄 ह जनक 훅 耂阄 ȅ य 䈆 मश: 11 स.म. और 6 स.म. ह एक उभय 耂 न 调 ठ अन 頄 पशᘂ र ख द नᘂ व 萃 तᘂ क 䈆 मश: P और Q पर 頄 पश 圀 करत ह य 耂 द AB = 13 स.म. ह, त PQ क 훅 ल 頄 ब ई बत इए? 1) 13 cm 13 स.म. 2) 17 cm 17 स.म. 3) 8.5 cm 8.5 स.म. 4) 12 cm 12 स.म. Correct Answ er: 12 cm 12 स.म. Candidate Answ er: 12 cm 12 स.म. QID : ABC is an isosceles triangle inscribed in a circle. If AB = AC = 12 5 and BC = 24 cm then radius of circle is ABC 耂 कस व 萃 त म अ 耂 कत 耂 वषमब ह 耂阄 क ण ह, य 耂 द AB = AC = 12 5 तथ BC = 24 स.म. ह त व 萃 त क 훅 耂阄 ȅ य ȅ य ह ग? 1) 10 cm 10 स.म. 2) 15 cm 15 स.म. 3) 12 cm 12 स.म. 4) 14 cm 14 स.म. Correct Answ er: 15 cm 15 स.म. QID : ABC is an isosceles triangle where AB = AC which is circumscribed about a circle. If P is the point where the circle touches the side BC, then which of the following is true? ABC एक सम 頄耂 वब ह 耂阄 भ ज ह जसम AB = AC ज 耂 कस व 萃 त स प 耂 रगत ह य 耂 द P ऐस 耂 बⰄ द ह जह व 萃 त भ ज BC क 頄 पश 圀 करत ह, त बत इए 耂 न 頄 न 耂 ल 耂 खत म स ȅ य सह 霅 ह? 24/33

25 1) BP = PC 2) BP > PC 3) BP < PC 4) Correct Answ er: BP = PC Candidate Answ er: BP = PC QID : If D and E are the mid points of AB and AC respectively of ΔABC, then the ratio of the areas of ADE and BCED is? ΔABC क AB और AC क म य 耂 बⰄ द 䈆 मश: D और E ह त ADE और BCED क 韔 阄 फल क अन प त ȅ य ह ग? 1) 1 : 2 2) 1 : 4 3) 2 : 3 4) 1 : 3 Correct Answ er: 1 : 3 Candidate Answ er: 1 : 3 QID : O is the circumcentre of the isosceles ΔABC. Given that AB = AC = 17 cm and BC = 6 cm. The radius of the circle is सम 頄耂 वब ह ΔABC क प 耂 रक Ⰴ 頄 O ह यह म नत ह ए 耂 क AB = AC = 17 स.म. और BC = 6 स.म., व 萃 त क 훅 耂阄 ȅ य बत ए? 1) cm स.म. 2) cm स.म. 3) cm स.म. 4) cm स.म. Correct Answ er: cm स.म. QID : B 1 is a point on the side AC of ΔABC and B 1 B is joined. A line is drawn through A parallel to B 1 B meeting BC at A 1 and another line is drawn through C parallel to B 1 B meeting AB produced at C 1. Then ΔABC क 훅 भ ज AC पर B 1 एक 耂 बⰄ द ह और B 1 B 耂 मल द 霅 ज त ह B 1 B क सम Ⰴ तर A स ह कर एक र ख ख च ज त ह ज BC स A 1 पर 耂 मलत ह और B 1 B क सम Ⰴ तर एक और र ख ख च ज त ह ज C स ह कर ज त ह और AB स C 1 पर 耂 मलत ह, त : 1) 2) 3) 4) Correct Answ er: 25/33

26 QID : The value of the expression (1 + sec22 + cot68 )(1 - cosec22 + tan68 ) is (1 + sec22 + cot68 )(1 - cosec22 + tan68 ) 调 य जक क म न बत इए? 1) 0 2) 1 3) -1 4) 2 Correct Answ er: 2 Candidate Answ er: 2 QID : If xsin 3 θ + ycos 3 θ = sin θcos θ and xsin θ - ycos θ = 0, then the value of x 2 + y 2 equals य 耂 द xsin 3 θ + ycos 3 θ = sin θcos θ ह और xsin θ - ycos θ = 0 ह, त x 2 + y 2 क म न बत ए? 1) 1 2) 1/2 3) 3/2 4) 2 Correct Answ er: 1 Candidate Answ er: 1 QID : If sec θ + tan θ=m (>1), then the value of sin θ is (0 < θ < 90 ) य 耂 द sec θ + tan θ=m (>1) ह, त sin θ क म न 栆 त क 훅 जए? (0 < θ < 90 ) 1) 2) 3) 4) Correct Answ er: Candidate Answ er: QID : If (a 2 - b 2 )sin θ + 2abcos θ = a 2 + b 2, then tan θ = य 耂 द (a 2 - b 2 )sin θ + 2abcos θ = a 2 + b 2 ह, त tan θ क म न बत इए? 26/33

27 1) 2) 3) 4) Correct Answ er: Candidate Answ er: QID : A person from the top of a hill observes a vehicle moving towards him at a uniform speed. It takes 10 minutes for the angle of depression to change from 45 to 60. After this the time required by the vehicle to reach the bottom of the hill is एक 调 य ȅत 耂 कस पव 圀 त क श ष 圀 स द खत ह 耂 क क ई ग ड़ एक ह 霅 रȅत र स उसक 훅 ओर आ रह 霅 ह अवनमन क ण क 45 स 60 म प 耂 रव 耂 त 圀 त ह न म 10 耂 मनट क समय लगत ह इसक ब द ग ड़ क पव 圀 त तल तक पह चन म 耂 कतन समय लग ग? 1) 12 min 20 sec 12 耂 मनट 20 स कⰄड 2) 13 min 13 耂 मनट 3) 13 min 40 sec 13 耂 मनट 40 स कⰄड 4) 14 min 24 sec 14 耂 मनट 24 स कⰄ ड Correct Answ er: 13 min 40 sec 13 耂 मनट 40 स कⰄड QID : If 2ycos θ = xsin θ and 2xsec θ - ycosec θ = 3, then the value of x 2 + 4y 2 is य 耂 द 2ycos θ = xsin θ और 2xsec θ - ycosec θ = 3 ह, त x 2 + 4y 2 क म न ȅ य ह ग? 1) 1 2) 2 3) 3 4) 4 Correct Answ er: 4 Candidate Answ er: 3 QID : From the top of a cliff 100 metre high, the angles of depression of the top and bottom of a tower are 45 and 60 respectively. The height of the tower is 100 म. ऊ च च ट 霅 स 耂 कस ट वर क श ष 圀 तथ आध र क अवनमन क ण 䈆 मश: 45 और 60 ह ट वर क 훅 ऊ च ई 栆 त कर? 27/33

28 1) 2) 3) 4) Correct Answ er: Candidate Answ er: QID : A vertical tower stands on a horizontal plane and is surmounted by a vertical flag staff of height h. At a point on the plane, the angle of elevation of the bottom of the flag staff is α and that of the top of the flag staff is β. Then the height of the tower is एक ऊ व 圀 धर म न र एक 韔 耂 तज समतल पर खड़ ह और उसक ऊपर h ऊ च ई क ऊ व 圀 धर वजदⰄ ड लग ह समतल पर एक 耂 बⰄ द पर वजदⰄ ड क तल क उⰄ नयन क ण α ह और वजदⰄ ड क श ष 圀 भ ग क β ह म न र क 훅 ऊ च ई बत इए? 1) h tan α 2) 3) 4) None of these Correct Answ er: Candidate Answ er: None of these QID : A man on the top of a tower, standing on the sea-shore, finds that a boat coming towards him takes 10 minutes for the angle of depression to change from 30 to 60. How soon the boat reach the sea-shore?? सम 頄 क 耂 कन र एक ट वर क श ष 圀 पर खड़ 调 य ȅत यह प त ह 耂 क उसक 훅 तरफ आ रह 霅 न व क अवनमन क ण 10 耂 मनट म 30 स 60 ह ज त ह न व सम 頄 क 耂 कन र 耂 कतन द र म आ ज एग 28/33

29 1) 5 minutes 5 耂 मनट 2) 7 minutes 7 耂 मनट 3) 10 minutes 10 耂 मनट 4) 15 minutes 15 耂 मनट Correct Answ er: 5 minutes 5 耂 मनट Candidate Answ er: 10 minutes 10 耂 मनट QID : ) 2) 3) 4) Correct Answ er: Candidate Answ er: 29/33

30 QID : What is the total monthly income of the family? प 耂 रव र क 훅 क ल म 耂 सक आय 耂 कतन ह? 1) Rs 㠅 2) Rs 㠅 3) Rs 㠅 4) Rs 㠅 Correct Answ er: Rs 㠅 Candidate Answ er: Rs 㠅 30/33

31 QID : What percent of the total income does the family save? प 耂 रव र म क ल आय क 훅 耂 कतन 찄耂 तशत र 耂 श क 훅 बचत क 훅 ज त ह? 1) 15% 2) 50% 3) 20% 4) 25% Correct Answ er: 15% Candidate Answ er: 15% QID : What is the ratio of expenses on food and miscellaneous? भ जन और 耂 व 耂 वध मदᘂ पर ह न व ल खच 圀 क ब च क ȅ य अन प त ह? 31/33

32 1) 3 : 4 2) 2 : 3 3) 3 : 2 4) 2 : 5 Correct Answ er: 3 : 2 Candidate Answ er: 3 : 2 QID : What is the average of expenses on clothing and rent? व 頄阄 ᘂ और 耂 कर य पर खच 圀 ह न व ल 霅 औसत र 耂 श बत ए? 1) Rs 㠅 2) Rs 㠅 3) Rs 㠅 4) Rs 㠅 Correct Answ er: Rs 㠅 Candidate Answ er: Rs 㠅 32/33

33 QID : The ratio of average of expenses on food, clothing and miscellaneous items to the average of expenses on savings and rent is भ जन, व 頄阄 और 耂 व 耂 वध मदᘂ पर ह न व ल खच 圀 क औसत क बचत और 耂 कर य पर ह न व ल खच 圀 क औसत स अन प त ȅ य ह? 1) 3 : 2 2) 1 : 3 3) 2 : 1 4) 1 : 1 Correct Answ er: 1 : 1 Candidate Answ er: 1 : /33

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