Page 1
1. In the given V enn diagram, rectangle represents children
going to school, circle represents children living in
a village and triangle represents children who like
sports. Which of the following numbers represents
children who live in a village and go to school but
do not like sports?
21 12
10
11 25
15
18
A. 12
B. 10
C. 15
D. 11
2. How many such pairs of letters are there in the word
DIGITAL each of which has as many letters between
them in the word as in the English alphabets?
A. One
B. Two
C. Three
D. Four
3. Which of the following numbers lies on the face
opposite to the face having number 2, when the given
net is folded to form a cube?
6
4 3
2 1
5
A. 4
B. 3
C. 6
D. 5
4. Find the number of triangles formed in the given
figure.
A. 10
B. 11
C. 12
D. More than 12
5. Raj is the brother of Aman. Shruti is the mother of
Aman and wife of Amit. If Soumya is the mother of
Amit, then how is Raj related to Soumya?
A. Son
B. Grandfather
C. Grandson
D. Brother
6 . Select a figure from the options which is exactly
embedded in the given figure as one of its parts.
A.
B.
C.
D.
7. Select the correct mirror image of the given word, if
the mirror is placed vertically to the left.
PERFORM
A.
PERFORM
B. PERFORM
C.
PERFORM
D.
8. In a certain code language, if ‘DETAIL’ is coded as
‘EGUCJN’, then how will ‘HIGHER’ be coded in
that language?
A. IKHJFT
B. IJHIFS
C. JKIJGT
D. JKGIFS
9. The given question consists of a set of three figures
P, Q and R showing the folding of a piece of paper.
Fig. R shows the manner in which the folded paper
has been cut. Select a figure from the options which
shows the unfolded form of Fig. R.
P Q R
LOGICAL REASONING
Page 2
1. In the given V enn diagram, rectangle represents children
going to school, circle represents children living in
a village and triangle represents children who like
sports. Which of the following numbers represents
children who live in a village and go to school but
do not like sports?
21 12
10
11 25
15
18
A. 12
B. 10
C. 15
D. 11
2. How many such pairs of letters are there in the word
DIGITAL each of which has as many letters between
them in the word as in the English alphabets?
A. One
B. Two
C. Three
D. Four
3. Which of the following numbers lies on the face
opposite to the face having number 2, when the given
net is folded to form a cube?
6
4 3
2 1
5
A. 4
B. 3
C. 6
D. 5
4. Find the number of triangles formed in the given
figure.
A. 10
B. 11
C. 12
D. More than 12
5. Raj is the brother of Aman. Shruti is the mother of
Aman and wife of Amit. If Soumya is the mother of
Amit, then how is Raj related to Soumya?
A. Son
B. Grandfather
C. Grandson
D. Brother
6 . Select a figure from the options which is exactly
embedded in the given figure as one of its parts.
A.
B.
C.
D.
7. Select the correct mirror image of the given word, if
the mirror is placed vertically to the left.
PERFORM
A.
PERFORM
B. PERFORM
C.
PERFORM
D.
8. In a certain code language, if ‘DETAIL’ is coded as
‘EGUCJN’, then how will ‘HIGHER’ be coded in
that language?
A. IKHJFT
B. IJHIFS
C. JKIJGT
D. JKGIFS
9. The given question consists of a set of three figures
P, Q and R showing the folding of a piece of paper.
Fig. R shows the manner in which the folded paper
has been cut. Select a figure from the options which
shows the unfolded form of Fig. R.
P Q R
LOGICAL REASONING
A.
B.
C.
D.
10. Pooja walks 18 m towards South and then turns left
and walks 8 m. She then turns left again and walks
9 m. Finally, she turns right and walks 4 m. How far
is she now from the starting point?
A. 14 m
B. 13 m
C. 21 m
D. 15 m
11. Which of the following options will complete the
given series?
EXL, GVN, ITP, KRR, ?
A. MTT
B. MPT
C. NPT
D. NST
12. Which of the following options does not satisfy the
same conditions of placement of dots as in the given
figure?
A.
B.
C.
D.
13. There is a certain relationship between figures (i) and
(ii). Establish the similar relationship between figures
(iii) and (iv) by selecting a suitable figure from the
options that will replace the (?) in fig. (iv).
(i) (ii) (iii) (iv)
?
A.
B.
C.
D.
14. If ‘@’ denotes ‘+’, ‘$’ denotes ‘ ÷’, ‘#’ denotes ‘ ×’
and ‘©’ denotes ‘–’, then find the value of 32 @ 4 #
57 $ 19 © 6.
A. 50
B. 38
C. 36
D. 48
15. Select a figure from the options which will complete
the given figure matrix.
?
A.
B.
C.
D.
Page 3
1. In the given V enn diagram, rectangle represents children
going to school, circle represents children living in
a village and triangle represents children who like
sports. Which of the following numbers represents
children who live in a village and go to school but
do not like sports?
21 12
10
11 25
15
18
A. 12
B. 10
C. 15
D. 11
2. How many such pairs of letters are there in the word
DIGITAL each of which has as many letters between
them in the word as in the English alphabets?
A. One
B. Two
C. Three
D. Four
3. Which of the following numbers lies on the face
opposite to the face having number 2, when the given
net is folded to form a cube?
6
4 3
2 1
5
A. 4
B. 3
C. 6
D. 5
4. Find the number of triangles formed in the given
figure.
A. 10
B. 11
C. 12
D. More than 12
5. Raj is the brother of Aman. Shruti is the mother of
Aman and wife of Amit. If Soumya is the mother of
Amit, then how is Raj related to Soumya?
A. Son
B. Grandfather
C. Grandson
D. Brother
6 . Select a figure from the options which is exactly
embedded in the given figure as one of its parts.
A.
B.
C.
D.
7. Select the correct mirror image of the given word, if
the mirror is placed vertically to the left.
PERFORM
A.
PERFORM
B. PERFORM
C.
PERFORM
D.
8. In a certain code language, if ‘DETAIL’ is coded as
‘EGUCJN’, then how will ‘HIGHER’ be coded in
that language?
A. IKHJFT
B. IJHIFS
C. JKIJGT
D. JKGIFS
9. The given question consists of a set of three figures
P, Q and R showing the folding of a piece of paper.
Fig. R shows the manner in which the folded paper
has been cut. Select a figure from the options which
shows the unfolded form of Fig. R.
P Q R
LOGICAL REASONING
A.
B.
C.
D.
10. Pooja walks 18 m towards South and then turns left
and walks 8 m. She then turns left again and walks
9 m. Finally, she turns right and walks 4 m. How far
is she now from the starting point?
A. 14 m
B. 13 m
C. 21 m
D. 15 m
11. Which of the following options will complete the
given series?
EXL, GVN, ITP, KRR, ?
A. MTT
B. MPT
C. NPT
D. NST
12. Which of the following options does not satisfy the
same conditions of placement of dots as in the given
figure?
A.
B.
C.
D.
13. There is a certain relationship between figures (i) and
(ii). Establish the similar relationship between figures
(iii) and (iv) by selecting a suitable figure from the
options that will replace the (?) in fig. (iv).
(i) (ii) (iii) (iv)
?
A.
B.
C.
D.
14. If ‘@’ denotes ‘+’, ‘$’ denotes ‘ ÷’, ‘#’ denotes ‘ ×’
and ‘©’ denotes ‘–’, then find the value of 32 @ 4 #
57 $ 19 © 6.
A. 50
B. 38
C. 36
D. 48
15. Select a figure from the options which will complete
the given figure matrix.
?
A.
B.
C.
D.
16. If 5
1
6
1
1
5
2
3
4
5
1
2
5
6
2
3
2
61
120
+ ÷÷
?
?
?
?
?
?
?
?
?
?
?
?
?
?
?
?
?
?
= x , then
the value of x is
A.
4
13
B.
3
13
C.
4
11
D.
3
11
17. What will be the least number which when doubled
will be exactly divisible by 12, 16, 21 and 36?
A. 508
B. 916
C. 504
D. 450
18. In the figure given below (not drawn to scale), find
?BDF, if AB  CD  EF.
A
B
D
C
E
F
158 °
120 °
A. 80°
B. 82°
C. 42°
D. 90°
1 9 . W h i c h o f t h e f o l l owi n g fig u re s d o e s n o t h a v e a n y
line of symmetry?
A.
B.
C.
D. Both A and C
20. If () , 2106 7
43 a
+÷ = then a =
______
.
A. –1
B. 0
C. 1
D. 2
21. Which of the following options is arranged in descending
order?
A.
 5
20
2
5
7
12
9
10
,, ,
B.
 9
10
5
20
2
5
7
12
,, ,
C.
7
12
2
5
5
20
9
10
,, ,

D.
 5
20
9
10
2
5
7
12
,, ,
22. Which of the following is the net of the given figure?
A.
B.
C.
D. None of these
23. Which of the following is not a Pythagorean triplet?
A. 7, 24, 25
B. 15, 20, 25
C. 5, 7, 12
D. 20, 21, 29
MATHEMATICAL REASONING
Page 4
1. In the given V enn diagram, rectangle represents children
going to school, circle represents children living in
a village and triangle represents children who like
sports. Which of the following numbers represents
children who live in a village and go to school but
do not like sports?
21 12
10
11 25
15
18
A. 12
B. 10
C. 15
D. 11
2. How many such pairs of letters are there in the word
DIGITAL each of which has as many letters between
them in the word as in the English alphabets?
A. One
B. Two
C. Three
D. Four
3. Which of the following numbers lies on the face
opposite to the face having number 2, when the given
net is folded to form a cube?
6
4 3
2 1
5
A. 4
B. 3
C. 6
D. 5
4. Find the number of triangles formed in the given
figure.
A. 10
B. 11
C. 12
D. More than 12
5. Raj is the brother of Aman. Shruti is the mother of
Aman and wife of Amit. If Soumya is the mother of
Amit, then how is Raj related to Soumya?
A. Son
B. Grandfather
C. Grandson
D. Brother
6 . Select a figure from the options which is exactly
embedded in the given figure as one of its parts.
A.
B.
C.
D.
7. Select the correct mirror image of the given word, if
the mirror is placed vertically to the left.
PERFORM
A.
PERFORM
B. PERFORM
C.
PERFORM
D.
8. In a certain code language, if ‘DETAIL’ is coded as
‘EGUCJN’, then how will ‘HIGHER’ be coded in
that language?
A. IKHJFT
B. IJHIFS
C. JKIJGT
D. JKGIFS
9. The given question consists of a set of three figures
P, Q and R showing the folding of a piece of paper.
Fig. R shows the manner in which the folded paper
has been cut. Select a figure from the options which
shows the unfolded form of Fig. R.
P Q R
LOGICAL REASONING
A.
B.
C.
D.
10. Pooja walks 18 m towards South and then turns left
and walks 8 m. She then turns left again and walks
9 m. Finally, she turns right and walks 4 m. How far
is she now from the starting point?
A. 14 m
B. 13 m
C. 21 m
D. 15 m
11. Which of the following options will complete the
given series?
EXL, GVN, ITP, KRR, ?
A. MTT
B. MPT
C. NPT
D. NST
12. Which of the following options does not satisfy the
same conditions of placement of dots as in the given
figure?
A.
B.
C.
D.
13. There is a certain relationship between figures (i) and
(ii). Establish the similar relationship between figures
(iii) and (iv) by selecting a suitable figure from the
options that will replace the (?) in fig. (iv).
(i) (ii) (iii) (iv)
?
A.
B.
C.
D.
14. If ‘@’ denotes ‘+’, ‘$’ denotes ‘ ÷’, ‘#’ denotes ‘ ×’
and ‘©’ denotes ‘–’, then find the value of 32 @ 4 #
57 $ 19 © 6.
A. 50
B. 38
C. 36
D. 48
15. Select a figure from the options which will complete
the given figure matrix.
?
A.
B.
C.
D.
16. If 5
1
6
1
1
5
2
3
4
5
1
2
5
6
2
3
2
61
120
+ ÷÷
?
?
?
?
?
?
?
?
?
?
?
?
?
?
?
?
?
?
= x , then
the value of x is
A.
4
13
B.
3
13
C.
4
11
D.
3
11
17. What will be the least number which when doubled
will be exactly divisible by 12, 16, 21 and 36?
A. 508
B. 916
C. 504
D. 450
18. In the figure given below (not drawn to scale), find
?BDF, if AB  CD  EF.
A
B
D
C
E
F
158 °
120 °
A. 80°
B. 82°
C. 42°
D. 90°
1 9 . W h i c h o f t h e f o l l owi n g fig u re s d o e s n o t h a v e a n y
line of symmetry?
A.
B.
C.
D. Both A and C
20. If () , 2106 7
43 a
+÷ = then a =
______
.
A. –1
B. 0
C. 1
D. 2
21. Which of the following options is arranged in descending
order?
A.
 5
20
2
5
7
12
9
10
,, ,
B.
 9
10
5
20
2
5
7
12
,, ,
C.
7
12
2
5
5
20
9
10
,, ,

D.
 5
20
9
10
2
5
7
12
,, ,
22. Which of the following is the net of the given figure?
A.
B.
C.
D. None of these
23. Which of the following is not a Pythagorean triplet?
A. 7, 24, 25
B. 15, 20, 25
C. 5, 7, 12
D. 20, 21, 29
MATHEMATICAL REASONING
Direction (2425) : The given double bar graph shows
t he sa l e of m ov i e t i c ke t s of t wo di ffe re nt PVRs on five
consecutive days. Study the graph carefully and answer
the following questions.
Mon Tue Wed Thu Fri
Days
0
100
200
300
400
500
600
700
800
900
Number of tickets sold
PVR Y
PVR X
24. What is the ratio of the number of movie tickets sold
by PVR X on Monday and Wednesday together to the
number of movie tickets sold by PVR Y on Tuesday
and Friday together?
A. 15 : 7
B. 8 : 7
C. 7 : 15
D. 7 : 8
25. If each movie ticket costs ` 250, then how much
more money earned by PVR X than PVR Y on all
the given five days?
A. ` 12500
B. ` 50000
C. ` 18500
D. None of these
26. In the given figure (not drawn to scale), AB = BC =
CD . Find the perimeter of the given figure.
A B C D
42 cm
A. 108 cm
B. 112 cm
C. 124 cm
D. 116 cm
27. The simple interest on a certain sum for 8 months at
4% per annum is `129 less than the simple interest
on the same sum for 15 months at 5% per annum.
The sum is
A. ` 2530
B. ` 2400
C. ` 2529
D. ` 3600
28. Find the values of P and Q.
(i) The sum of two integers is 71. If one of them
is –101, then other integer is P
.
(ii) The product of an integer and
Q is zero.
P Q
A. 172 0
B. 184 1
C. 172 1
D. 172 2
29. Find the value of x, if
xx 

+
=
3
5
21
3
7 .
A. 10
B. 13
C. 8
D. –5
30. In the given figure, the number of pairs of parallel
lines is_______.
l
m
n s
p
q
r
A. 4
B. 6
C. 5
D. None of these
31. If 16, 80, x are in continued proportion, then find the
value of x.
A. 200
B. 250
C. 400
D. 350
32. If x = 2, y = –1 and z = 3, then the value of expression
3x
2
y + 5xy
2
+ 6yz
2
+ 2xyz is _____.
A. 38
B. 40
C. – 40
D. – 68
33. Difference between the greatest and smallest 8digit
number that can be formed using the digits 4,6,0 and
2 (each digit at least once) is
A. 86666502
B. 46666374
C. 4666347
D. 46444174
Page 5
1. In the given V enn diagram, rectangle represents children
going to school, circle represents children living in
a village and triangle represents children who like
sports. Which of the following numbers represents
children who live in a village and go to school but
do not like sports?
21 12
10
11 25
15
18
A. 12
B. 10
C. 15
D. 11
2. How many such pairs of letters are there in the word
DIGITAL each of which has as many letters between
them in the word as in the English alphabets?
A. One
B. Two
C. Three
D. Four
3. Which of the following numbers lies on the face
opposite to the face having number 2, when the given
net is folded to form a cube?
6
4 3
2 1
5
A. 4
B. 3
C. 6
D. 5
4. Find the number of triangles formed in the given
figure.
A. 10
B. 11
C. 12
D. More than 12
5. Raj is the brother of Aman. Shruti is the mother of
Aman and wife of Amit. If Soumya is the mother of
Amit, then how is Raj related to Soumya?
A. Son
B. Grandfather
C. Grandson
D. Brother
6 . Select a figure from the options which is exactly
embedded in the given figure as one of its parts.
A.
B.
C.
D.
7. Select the correct mirror image of the given word, if
the mirror is placed vertically to the left.
PERFORM
A.
PERFORM
B. PERFORM
C.
PERFORM
D.
8. In a certain code language, if ‘DETAIL’ is coded as
‘EGUCJN’, then how will ‘HIGHER’ be coded in
that language?
A. IKHJFT
B. IJHIFS
C. JKIJGT
D. JKGIFS
9. The given question consists of a set of three figures
P, Q and R showing the folding of a piece of paper.
Fig. R shows the manner in which the folded paper
has been cut. Select a figure from the options which
shows the unfolded form of Fig. R.
P Q R
LOGICAL REASONING
A.
B.
C.
D.
10. Pooja walks 18 m towards South and then turns left
and walks 8 m. She then turns left again and walks
9 m. Finally, she turns right and walks 4 m. How far
is she now from the starting point?
A. 14 m
B. 13 m
C. 21 m
D. 15 m
11. Which of the following options will complete the
given series?
EXL, GVN, ITP, KRR, ?
A. MTT
B. MPT
C. NPT
D. NST
12. Which of the following options does not satisfy the
same conditions of placement of dots as in the given
figure?
A.
B.
C.
D.
13. There is a certain relationship between figures (i) and
(ii). Establish the similar relationship between figures
(iii) and (iv) by selecting a suitable figure from the
options that will replace the (?) in fig. (iv).
(i) (ii) (iii) (iv)
?
A.
B.
C.
D.
14. If ‘@’ denotes ‘+’, ‘$’ denotes ‘ ÷’, ‘#’ denotes ‘ ×’
and ‘©’ denotes ‘–’, then find the value of 32 @ 4 #
57 $ 19 © 6.
A. 50
B. 38
C. 36
D. 48
15. Select a figure from the options which will complete
the given figure matrix.
?
A.
B.
C.
D.
16. If 5
1
6
1
1
5
2
3
4
5
1
2
5
6
2
3
2
61
120
+ ÷÷
?
?
?
?
?
?
?
?
?
?
?
?
?
?
?
?
?
?
= x , then
the value of x is
A.
4
13
B.
3
13
C.
4
11
D.
3
11
17. What will be the least number which when doubled
will be exactly divisible by 12, 16, 21 and 36?
A. 508
B. 916
C. 504
D. 450
18. In the figure given below (not drawn to scale), find
?BDF, if AB  CD  EF.
A
B
D
C
E
F
158 °
120 °
A. 80°
B. 82°
C. 42°
D. 90°
1 9 . W h i c h o f t h e f o l l owi n g fig u re s d o e s n o t h a v e a n y
line of symmetry?
A.
B.
C.
D. Both A and C
20. If () , 2106 7
43 a
+÷ = then a =
______
.
A. –1
B. 0
C. 1
D. 2
21. Which of the following options is arranged in descending
order?
A.
 5
20
2
5
7
12
9
10
,, ,
B.
 9
10
5
20
2
5
7
12
,, ,
C.
7
12
2
5
5
20
9
10
,, ,

D.
 5
20
9
10
2
5
7
12
,, ,
22. Which of the following is the net of the given figure?
A.
B.
C.
D. None of these
23. Which of the following is not a Pythagorean triplet?
A. 7, 24, 25
B. 15, 20, 25
C. 5, 7, 12
D. 20, 21, 29
MATHEMATICAL REASONING
Direction (2425) : The given double bar graph shows
t he sa l e of m ov i e t i c ke t s of t wo di ffe re nt PVRs on five
consecutive days. Study the graph carefully and answer
the following questions.
Mon Tue Wed Thu Fri
Days
0
100
200
300
400
500
600
700
800
900
Number of tickets sold
PVR Y
PVR X
24. What is the ratio of the number of movie tickets sold
by PVR X on Monday and Wednesday together to the
number of movie tickets sold by PVR Y on Tuesday
and Friday together?
A. 15 : 7
B. 8 : 7
C. 7 : 15
D. 7 : 8
25. If each movie ticket costs ` 250, then how much
more money earned by PVR X than PVR Y on all
the given five days?
A. ` 12500
B. ` 50000
C. ` 18500
D. None of these
26. In the given figure (not drawn to scale), AB = BC =
CD . Find the perimeter of the given figure.
A B C D
42 cm
A. 108 cm
B. 112 cm
C. 124 cm
D. 116 cm
27. The simple interest on a certain sum for 8 months at
4% per annum is `129 less than the simple interest
on the same sum for 15 months at 5% per annum.
The sum is
A. ` 2530
B. ` 2400
C. ` 2529
D. ` 3600
28. Find the values of P and Q.
(i) The sum of two integers is 71. If one of them
is –101, then other integer is P
.
(ii) The product of an integer and
Q is zero.
P Q
A. 172 0
B. 184 1
C. 172 1
D. 172 2
29. Find the value of x, if
xx 

+
=
3
5
21
3
7 .
A. 10
B. 13
C. 8
D. –5
30. In the given figure, the number of pairs of parallel
lines is_______.
l
m
n s
p
q
r
A. 4
B. 6
C. 5
D. None of these
31. If 16, 80, x are in continued proportion, then find the
value of x.
A. 200
B. 250
C. 400
D. 350
32. If x = 2, y = –1 and z = 3, then the value of expression
3x
2
y + 5xy
2
+ 6yz
2
+ 2xyz is _____.
A. 38
B. 40
C. – 40
D. – 68
33. Difference between the greatest and smallest 8digit
number that can be formed using the digits 4,6,0 and
2 (each digit at least once) is
A. 86666502
B. 46666374
C. 4666347
D. 46444174
34. What percent of the given figure is shaded?
A. 52.5%
B. 25%
C. 33
1
3
%
D. 40%
35. The expanded form of 5049.135 is _________.
A. 5000 + 400 + 9 +
1
10
3
100
5
1000
++
B. 5000 + 40 + 9 +
1
10
3
100
5
1000
++
C. 500 + 40 + 9 + 1 +
3
10
5
100
+
D. 5000 + 400 + 90 + 1 +
3
100
5
1000
+
EVERYDAY MATHEMATICS
36. The population of a town is 2,75,000, out of which
40% are females. If 25% of males moved to big cities,
then how many males are left in the town?
A. 156570
B. 165000
C. 123750
D. 128500
37. In my accounts book, I write positive numbers for
profits and negative numbers for losses that I make
in my business. Following are the entries in the book
for the last seven days: 21, –19, 11, –20, 17, 25 and
–13. How much profit did I make in the last week?
A. 32
B. 22
C. 34
D. 24
38. Maira noted the age (in years) of players in a state
cricket team. The ages (in years) are as follows: 24,
37, 28, 25, 30, 21, 24, 22, 22, 28, 25
What is the mean age of the players?
A. 30 years
B. 27.5 years
C. 20 years
D. 26 years
39. The ratio of the number of teachers to the number of
students in a school is 3 : 200. If there are 36 teachers,
then how many students are there in the school?
A. 1800
B. 1500
C. 2400
D. 2100
40. A group of 15 children shared a box of candies. After
taking 9 candies each, there were 7 candies left. How
many candies were there at first?
A. 142
B. 135
C. 120
D. 152
41. Rashmi studies
5
6
hour on Monday,
3
4
hour on Tuesday
and
1
2
hour on Wednesday. How much total time did
she spend on studies on the given three days?
A. 80 minutes
B. 125 minutes
C. 135 minutes
D. 95 minutes
42. Priya bought 5 pairs of shoes and 3 pairs of socks
from the market. If a pair of shoes costs ` 215.25 and
a pair of socks costs ` 52.50, then how much total
money did she spend?
A. ` 1187.50
B. ` 987.25
C. ` 1233.75
D. None of these
43. 280 folders are distributed among 50 employees of
an office such that each male gets 5 folders and each
female gets 8 folders. How many males are there in
the office?
A. 60
B. 40
C. 35
D. 20
4 4 . The are a of a ci rcul ar fie ld i s 6.16 hec ta res. Fi nd
the cost of fencing it at the rate of ` 7.50 per metre.
(1 hectare = 10000 sq. m)
A. ` 6600
B. ` 4250
C. ` 7800
D. ` 4800
Read More