Mathematics Olympiad Previous Year Papers - 1 - Class 7 PDF Download

 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 (24-25) : 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	 8-digit	
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 (24-25) : 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	 8-digit	
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