Page 1 Section : General Aptitude 01. Newspapers are a constant source of delight and recreation for me. The _____ trouble is that I read _______ many of them. (a) only, quite (b) even, quite (c) even, too (d) only, too 01. Ans: (d) Sol: Meaning single, too many 02. It takes two hours for a person X to mow the lawn. Y can mow the same lawn in four hours. How long (in minutes) will it take X and Y , if they work together to mow the lawn? (a) 120 (b) 90 (c) 60 (d) 80 02. Ans: (d) Sol: Given data: X Y ? ? 2 4 The work done by X in 1 hour = 2 1 The work done by Y in 1 hour = 4 1 The work done by X + Y in 1hour = 2 1 4 1 + = 4 3 Time taken by X+Y to do work = / hour 34 1 = hour 3 4 = 80 min Page 2 Section : General Aptitude 01. Newspapers are a constant source of delight and recreation for me. The _____ trouble is that I read _______ many of them. (a) only, quite (b) even, quite (c) even, too (d) only, too 01. Ans: (d) Sol: Meaning single, too many 02. It takes two hours for a person X to mow the lawn. Y can mow the same lawn in four hours. How long (in minutes) will it take X and Y , if they work together to mow the lawn? (a) 120 (b) 90 (c) 60 (d) 80 02. Ans: (d) Sol: Given data: X Y ? ? 2 4 The work done by X in 1 hour = 2 1 The work done by Y in 1 hour = 4 1 The work done by X + Y in 1hour = 2 1 4 1 + = 4 3 Time taken by X+Y to do work = / hour 34 1 = hour 3 4 = 80 min 03. The missing number in the given sequence 343, 1331, _______ 4913 is (a) 2744 (b) 2197 (c) 3375 (d) 4096 03. Ans: (b) Sol: 343, 1331, _____, 4913 7 3 , 11 3 , 13 3 , 17 3 cubes of prime numbers. 343, 1331, 2197, 4913. 04. I am not sure if the bus that has been booked will be able to ______ all the students (a) deteri orate (b) accommodate (c) fill (d) sit 04. Ans: (b) 05. The passengers were angry __________ the airline s taff about the delay (a) on (b) about (c) with (d) towards 05. Ans: (c) 06. Given two sets X = {1, 2, 3} and Y = {2, 3, 4}, we construct a set Z of all possible fractions where the numerators belong to set X and the denominators belong to set Y . The product of elements having minimum and maximum values in the set Z is ____________. (a) 12 1 (b) 8 1 (c) 6 1 (d) 8 3 06. Ans: (d) Sol: Given data: Set z = ,, ,,,,, , 2 1 3 1 4 1 2 2 3 2 4 2 2 3 3 3 4 3 &0 max = 2 3 min = 4 1 max × min = 2 3 4 1 8 3 # = Page 3 Section : General Aptitude 01. Newspapers are a constant source of delight and recreation for me. The _____ trouble is that I read _______ many of them. (a) only, quite (b) even, quite (c) even, too (d) only, too 01. Ans: (d) Sol: Meaning single, too many 02. It takes two hours for a person X to mow the lawn. Y can mow the same lawn in four hours. How long (in minutes) will it take X and Y , if they work together to mow the lawn? (a) 120 (b) 90 (c) 60 (d) 80 02. Ans: (d) Sol: Given data: X Y ? ? 2 4 The work done by X in 1 hour = 2 1 The work done by Y in 1 hour = 4 1 The work done by X + Y in 1hour = 2 1 4 1 + = 4 3 Time taken by X+Y to do work = / hour 34 1 = hour 3 4 = 80 min 03. The missing number in the given sequence 343, 1331, _______ 4913 is (a) 2744 (b) 2197 (c) 3375 (d) 4096 03. Ans: (b) Sol: 343, 1331, _____, 4913 7 3 , 11 3 , 13 3 , 17 3 cubes of prime numbers. 343, 1331, 2197, 4913. 04. I am not sure if the bus that has been booked will be able to ______ all the students (a) deteri orate (b) accommodate (c) fill (d) sit 04. Ans: (b) 05. The passengers were angry __________ the airline s taff about the delay (a) on (b) about (c) with (d) towards 05. Ans: (c) 06. Given two sets X = {1, 2, 3} and Y = {2, 3, 4}, we construct a set Z of all possible fractions where the numerators belong to set X and the denominators belong to set Y . The product of elements having minimum and maximum values in the set Z is ____________. (a) 12 1 (b) 8 1 (c) 6 1 (d) 8 3 06. Ans: (d) Sol: Given data: Set z = ,, ,,,,, , 2 1 3 1 4 1 2 2 3 2 4 2 2 3 3 3 4 3 &0 max = 2 3 min = 4 1 max × min = 2 3 4 1 8 3 # = 07. Consider five people Mitra, Ganga, Rekha, Lakshmi and Sana, Ganga is taller than both Rekha and Lakshmi. Lakshmi is taller than Sana. Mita is taller than Ganga. Which of the following conclusions are true? 1. Lakshmi is taller than Rekha 2. Rekha is shorter than Mita 3. Rekha is taller than Sana 4. Sana is shorter than Ganga (a) 1 only (b) 1 and 3 (c) 3 only (d) 2 and 4 07. Ans: (d) Sol: Ganga > Rekha, Lakshmi Lakshmi > Sana Mita > Ganga Mita > Ganga > Rekha, Lakshmi Lakshmi > Sana 08. The ratio of the number of boys and girls who participated in an examination is 4 : 3. The total percentage of candidates who passed the examination is 80 and the percentage of a girls who passed is 90. The percentage of boys who passed is _________. (a) 90.00 (b) 80.50 (c) 55.50 (d) 72.50 08. Ans: (d) Sol: By allegation B : G x% 90% 4 : 3 () () x 43 43 90 80 ^h 4x + 270 = 560 4x = 290 x = 72.5 09. How many integers are there between 100 and 1000 all of whose digits are even? (a) 100 (b) 90 (c) 60 (d) 80 Page 4 Section : General Aptitude 01. Newspapers are a constant source of delight and recreation for me. The _____ trouble is that I read _______ many of them. (a) only, quite (b) even, quite (c) even, too (d) only, too 01. Ans: (d) Sol: Meaning single, too many 02. It takes two hours for a person X to mow the lawn. Y can mow the same lawn in four hours. How long (in minutes) will it take X and Y , if they work together to mow the lawn? (a) 120 (b) 90 (c) 60 (d) 80 02. Ans: (d) Sol: Given data: X Y ? ? 2 4 The work done by X in 1 hour = 2 1 The work done by Y in 1 hour = 4 1 The work done by X + Y in 1hour = 2 1 4 1 + = 4 3 Time taken by X+Y to do work = / hour 34 1 = hour 3 4 = 80 min 03. The missing number in the given sequence 343, 1331, _______ 4913 is (a) 2744 (b) 2197 (c) 3375 (d) 4096 03. Ans: (b) Sol: 343, 1331, _____, 4913 7 3 , 11 3 , 13 3 , 17 3 cubes of prime numbers. 343, 1331, 2197, 4913. 04. I am not sure if the bus that has been booked will be able to ______ all the students (a) deteri orate (b) accommodate (c) fill (d) sit 04. Ans: (b) 05. The passengers were angry __________ the airline s taff about the delay (a) on (b) about (c) with (d) towards 05. Ans: (c) 06. Given two sets X = {1, 2, 3} and Y = {2, 3, 4}, we construct a set Z of all possible fractions where the numerators belong to set X and the denominators belong to set Y . The product of elements having minimum and maximum values in the set Z is ____________. (a) 12 1 (b) 8 1 (c) 6 1 (d) 8 3 06. Ans: (d) Sol: Given data: Set z = ,, ,,,,, , 2 1 3 1 4 1 2 2 3 2 4 2 2 3 3 3 4 3 &0 max = 2 3 min = 4 1 max × min = 2 3 4 1 8 3 # = 07. Consider five people Mitra, Ganga, Rekha, Lakshmi and Sana, Ganga is taller than both Rekha and Lakshmi. Lakshmi is taller than Sana. Mita is taller than Ganga. Which of the following conclusions are true? 1. Lakshmi is taller than Rekha 2. Rekha is shorter than Mita 3. Rekha is taller than Sana 4. Sana is shorter than Ganga (a) 1 only (b) 1 and 3 (c) 3 only (d) 2 and 4 07. Ans: (d) Sol: Ganga > Rekha, Lakshmi Lakshmi > Sana Mita > Ganga Mita > Ganga > Rekha, Lakshmi Lakshmi > Sana 08. The ratio of the number of boys and girls who participated in an examination is 4 : 3. The total percentage of candidates who passed the examination is 80 and the percentage of a girls who passed is 90. The percentage of boys who passed is _________. (a) 90.00 (b) 80.50 (c) 55.50 (d) 72.50 08. Ans: (d) Sol: By allegation B : G x% 90% 4 : 3 () () x 43 43 90 80 ^h 4x + 270 = 560 4x = 290 x = 72.5 09. How many integers are there between 100 and 1000 all of whose digits are even? (a) 100 (b) 90 (c) 60 (d) 80 09. Ans: (a) Sol: Numbers should contain digits 0, 2, 4, 6, 8 only 4 × 5 × 5 = 100 10. An awardwinning study by a group of researchers suggests that men are as prone to buying on impulse as women but women feel more guilty about shopping. Which on e of the following statements can be inferre d from the given text? (a) Some men and women indulge in buying on impulse (b) All men and women indulge in buying on impulse (c) Few men and women indulge in buying on impulse (d) Many men and women indulge in buying on impulse 10. Ans: (b) Sol: Para suggest that men and women are the same in buying habit. Section : Electrical Engineering 01. Which on e of the following functions is analytic in th e region z = 1? (a) z z 2 1 2 (b) . z z 05 1 2   (c) z z1 2  (d) . zj z 05 1 2 01. Ans (a) Sol: Given the region z  = 1 f (z) = z z 2 1 2 is not ana lytic at z = 2 and z = 2 = 2 > 1 lies outside of given region z = 1 ?f (z) = z z 2 1 2 is analytic in the given region 02. A sixpulse thyristor bridge rectifier is connected to a balanced threephase, 50 Hz AC source. Assuming that the DC output current of the rectifier is constant, the lowest harmonic component in the AC input current is (a) 100 Hz (b) 250 Hz (c) 150 Hz (d) 300 Hz Page 5 Section : General Aptitude 01. Newspapers are a constant source of delight and recreation for me. The _____ trouble is that I read _______ many of them. (a) only, quite (b) even, quite (c) even, too (d) only, too 01. Ans: (d) Sol: Meaning single, too many 02. It takes two hours for a person X to mow the lawn. Y can mow the same lawn in four hours. How long (in minutes) will it take X and Y , if they work together to mow the lawn? (a) 120 (b) 90 (c) 60 (d) 80 02. Ans: (d) Sol: Given data: X Y ? ? 2 4 The work done by X in 1 hour = 2 1 The work done by Y in 1 hour = 4 1 The work done by X + Y in 1hour = 2 1 4 1 + = 4 3 Time taken by X+Y to do work = / hour 34 1 = hour 3 4 = 80 min 03. The missing number in the given sequence 343, 1331, _______ 4913 is (a) 2744 (b) 2197 (c) 3375 (d) 4096 03. Ans: (b) Sol: 343, 1331, _____, 4913 7 3 , 11 3 , 13 3 , 17 3 cubes of prime numbers. 343, 1331, 2197, 4913. 04. I am not sure if the bus that has been booked will be able to ______ all the students (a) deteri orate (b) accommodate (c) fill (d) sit 04. Ans: (b) 05. The passengers were angry __________ the airline s taff about the delay (a) on (b) about (c) with (d) towards 05. Ans: (c) 06. Given two sets X = {1, 2, 3} and Y = {2, 3, 4}, we construct a set Z of all possible fractions where the numerators belong to set X and the denominators belong to set Y . The product of elements having minimum and maximum values in the set Z is ____________. (a) 12 1 (b) 8 1 (c) 6 1 (d) 8 3 06. Ans: (d) Sol: Given data: Set z = ,, ,,,,, , 2 1 3 1 4 1 2 2 3 2 4 2 2 3 3 3 4 3 &0 max = 2 3 min = 4 1 max × min = 2 3 4 1 8 3 # = 07. Consider five people Mitra, Ganga, Rekha, Lakshmi and Sana, Ganga is taller than both Rekha and Lakshmi. Lakshmi is taller than Sana. Mita is taller than Ganga. Which of the following conclusions are true? 1. Lakshmi is taller than Rekha 2. Rekha is shorter than Mita 3. Rekha is taller than Sana 4. Sana is shorter than Ganga (a) 1 only (b) 1 and 3 (c) 3 only (d) 2 and 4 07. Ans: (d) Sol: Ganga > Rekha, Lakshmi Lakshmi > Sana Mita > Ganga Mita > Ganga > Rekha, Lakshmi Lakshmi > Sana 08. The ratio of the number of boys and girls who participated in an examination is 4 : 3. The total percentage of candidates who passed the examination is 80 and the percentage of a girls who passed is 90. The percentage of boys who passed is _________. (a) 90.00 (b) 80.50 (c) 55.50 (d) 72.50 08. Ans: (d) Sol: By allegation B : G x% 90% 4 : 3 () () x 43 43 90 80 ^h 4x + 270 = 560 4x = 290 x = 72.5 09. How many integers are there between 100 and 1000 all of whose digits are even? (a) 100 (b) 90 (c) 60 (d) 80 09. Ans: (a) Sol: Numbers should contain digits 0, 2, 4, 6, 8 only 4 × 5 × 5 = 100 10. An awardwinning study by a group of researchers suggests that men are as prone to buying on impulse as women but women feel more guilty about shopping. Which on e of the following statements can be inferre d from the given text? (a) Some men and women indulge in buying on impulse (b) All men and women indulge in buying on impulse (c) Few men and women indulge in buying on impulse (d) Many men and women indulge in buying on impulse 10. Ans: (b) Sol: Para suggest that men and women are the same in buying habit. Section : Electrical Engineering 01. Which on e of the following functions is analytic in th e region z = 1? (a) z z 2 1 2 (b) . z z 05 1 2   (c) z z1 2  (d) . zj z 05 1 2 01. Ans (a) Sol: Given the region z  = 1 f (z) = z z 2 1 2 is not ana lytic at z = 2 and z = 2 = 2 > 1 lies outside of given region z = 1 ?f (z) = z z 2 1 2 is analytic in the given region 02. A sixpulse thyristor bridge rectifier is connected to a balanced threephase, 50 Hz AC source. Assuming that the DC output current of the rectifier is constant, the lowest harmonic component in the AC input current is (a) 100 Hz (b) 250 Hz (c) 150 Hz (d) 300 Hz 02. Ans: (b) Sol: Six pulse thyristor bridge rectifier . It is 3f full wave bridge rectifier . If output current is constant, then input supply current is quasi square wave. The line current is free from triple n (3n) harmonics i.e 3,9,6... Lowest order harmonic = 5 th harmonic = 5× 50 = 250 Hz 03. The rank of the matrix, M = 0 1 1 1 0 1 1 1 0 R T S S S S S S S S V X W W W W W W W W , is ______. 03. Ans: 3 Sol: Given matrix M = 0 1 1 1 0 1 1 1 0 J L K K K K K K K N P O O O O O O O R 3 ? R 1 1 1 0 1 0 1 0 1 1 J L K K K K K K K N P O O O O O O O R 2 ? R 2  R 1 1 0 0 1 1 1 0 1 1  J L K K K K K K K N P O O O O O O O R 3 ? R 3 +R 2 1 0 0 1 1 0 0 1 2  J L K K K K K K K N P O O O O O O O Rank = Number of Non zero rows in Echelon form = 3 04. M is a 2 × 2 matrix with eigenvalues 4 and 9. The eigenvalues of M 2 are (a) 2 and 3 (b) 2 and 3 (c) 4 and 9 (d) 16 and 81 04. Ans: (d) Sol: Given that eigen values of M 2×2 are 4, 9, ? eigen values of M 2 are (4) 2 , (9) 2 ? eigen values of M 2 are 16, 81Read More
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