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, 81
Read More