Olympiad Verbal - Mathematical Reasoning
Exam Duration: 45 Mins Total Questions : 30
Find the number which replaces the question mark.
- (a)
47
- (b)
45
- (c)
37
- (d)
35
From figure 1 : 3 \(\times\) 3 + 6 \(\times\) 5 = 39
From figure 2 : 4 \(\times\) 4 + 5 \(\times\) 7 = 51
In the same way, from figure (3): 3 \(\times\) 4 + 5 \(\times\) 5 = 37
Which number will replace the question mark in the figure below?
- (a)
27
- (b)
33
- (c)
29
- (d)
45
As (4)2+(2)2=20
(3)2+(1)2=10 and
(7)2+ (6)2= 85 ,
Hence, (5)2 + (2)2 = 29 .
Identify the number which replaces the question mark.
- (a)
100
- (b)
88
- (c)
137
- (d)
125
Consider the given figure as
Apply the logic\(\frac { { a }^{ 2 }+{ b }^{ 2 } }{ 10 } =c\)
From the first figure\(\frac { { (11) }^{ 2 }+{ (13) }^{ 2 } }{ 10 } =\frac { 121+169 }{ 10 } =\frac { 290 }{ 10 } =29\)
From the second figure:\(\frac { { (17) }^{ 2 }+{ (19) }^{ 2 } }{ 10 } =\frac { 289+361 }{ 10 } =\frac { 650 }{ 10 } =65\)
In the same way, from the third figure:
\(\frac { { (23) }^{ 2 }+{ (29) }^{ 2 } }{ 10 } =\frac { 529+841 }{ 10 } =137\)
Identify the number which replaces the question mark.
- (a)
6
- (b)
8
- (c)
10
- (d)
14
From the first figure, 10 - 4 = 6; 18 - 10 = 8; 18 - 4 = 14
From the second figure, 14 - 8 = 6 ; 22 - 14 = 8 ; 22 - 8 = 14
Simijarly, for the third figure,
11 - 5 = 6 ; 15 - 11 = 4 ; 15 - 5 = 10.
Which number will replace the question mark in the figure below?
- (a)
0
- (b)
1
- (c)
2
- (d)
3
From the first figure, 5 + 5 + 5 + 5 = 20; 2 + 0 = 2
From the second figure, 4 + 4 + 4 + 4; 16 = 1 + 6 = 7
Similarly, from the third figure, 3 + 3 + 3 + 3 = 12; 1 + 2 = 3
Hence, the number which will replace the question mark is 3.
Find the missing number which replaces the question mark.
- (a)
10
- (b)
15
- (c)
20
- (d)
25
(5-1)\(\times\)(6-3)=12
(7 -3)\(\times\)(8-3)= 20
Similarly, (7) = (7-2)\(\times\)(6-3)=15
Find the missing number in the figure below
- (a)
63
- (b)
56
- (c)
60
- (d)
65
Numbers are, 1\(\times\)3 = 3; 3\(\times\)5 = 15; 5\(\times\)7 = 35; 7\(\times\)9 = 63;9\(\times\)11 = 99; 11\(\times\)13 = 143
Numbers in the following questions have been arranged using a particular logic. Find the number in the place of question mark.
- (a)
40
- (b)
52
- (c)
65
- (d)
75
The pattern used is
13\(\times\)4 = 52;8+5=13;13\(\times\) (8 - 5) = 39
Which number will replace the question mark in the figure below?
- (a)
6
- (b)
8
- (c)
10
- (d)
14
The numbers in the triangle are the differences of the numbers at the vertices.
Arrangement of numbers in the following questions follow a common logic. Find out the missing number.
- (a)
25
- (b)
36
- (c)
20
- (d)
81
(2)2 = 4; (6)2 =36⇒92 =81
Find the number which replaces the question mark.
- (a)
60
- (b)
50
- (c)
25
- (d)
40
First figure ⇒\(\sqrt{4\times9}=6\) second figure
\(\sqrt{9\times16}=12\)
∴\(\sqrt{16\times?}=20\) i.e. 16\(\times\)7 = 400 or 7 = 25
Find the missing number in the following figure.
- (a)
8710
- (b)
1078
- (c)
8107
- (d)
789
Numbers placed along the sides of the triangle are the
squares of the digits of the number at the centre of the
triangle.
(4)2 = 16; (3)2 = 9, (9)2 = 81
Therefore, the number at the centre would be (64 = 82, 100= 102,49 = 72) 8107. Hence, the correct answer is (C).
Find the missing number from among the given alternatives.
- (a)
6
- (b)
8
- (c)
9
- (d)
12
(10-8)\(\times\)(15-8)=14
(8 - 6)\(\times\)(9 - 5) = 8
So missing number = (6 - 4)\(\times\)(11- 8) = (2\(\times\)3) = 6
Find the missing number which replaces the (?) in the following.
- (a)
35
- (b)
40
- (c)
49
- (d)
53
2, 3 ⟶ 23+5=28
4, 5 ⟶ 45 + 5 = 50
and 3, 5 ⟶ 35 + 5 = 40
Hence the missing number is 40.
Find the missing number in the figure given below
- (a)
25
- (b)
38
- (c)
35
- (d)
25
35+20+28-43=40
28 + 11+ 16 - 45 = 10
Similarly 15 + 15 + 40 - 32 = 38
Hence the missing number is 38.
Find the number which replaces the question mark.
- (a)
117
- (b)
100
- (c)
78
- (d)
63
In first figure, (9\(\times\)10)-(4\(\times\)8)=58
∴ The missing figure = (15\(\times\)10)-(9\(\times\)8)=78
Which number should be placed in the place of the question mark in the following figure?
- (a)
35
- (b)
37
- (c)
45
- (d)
47
39 = 3 \(\times\)3 + 6 \(\times\) 5
51=4\(\times\)4+5\(\times\)7
37 = 4\(\times\)3+5\(\times\)5
Which number will replace the question mark in the following?
- (a)
2
- (b)
6
- (c)
8
- (d)
64
(3)2+(4)2=(5)2
(5)2+(12)2 =(13)2
(7)2+(15)2 = (17)2⇒ (?)2 = (17)2- (15)2 = 289 -225
=64
Hence the missing number is 8.
Find the missing number in the figure below.
- (a)
26
- (b)
82
- (c)
84
- (d)
86
(5\(\times\)3)+(6\(\times\)8)=63, (2\(\times\)7)+(3+9)=41
Similarly (6 \(\times\) 7) + (8 \(\times\) 5) = 42 + 40 = 82
Which number will replace the question mark in the following grid?
5 | 9 | 7 |
4 | 5 | 3 |
1 | 6 | 8 |
40 | 100 | ? |
- (a)
70
- (b)
60
- (c)
50
- (d)
80
In first column: 52+42-1=40;
In Second column: 92 + 52 - 6 = 100
Similarly, 72+ 32- 8 = 50.
Find the number which will replace the question mark, in the given grid.
11 | 7 | 324 |
15 | 6 | 441 |
9 | 5 | ? |
- (a)
140
- (b)
106
- (c)
186
- (d)
196
In the first row: (11 + 7)2 = 182= 324,
In the second row (15 + 6)2 =212 = 441
Similarly, (9 + 5)2 = 142 = 196
Find the number which will replace the question mark, in the grid below
12 | 6 | 81 |
17 | 5 | 121 |
6 | 8 | ? |
- (a)
49
- (b)
64
- (c)
70
- (d)
50
Take the average of two numbers and then square the result.
Thus the required number=\(\left( \frac { 6+8 }{ 2 } \right) ^{ 2 }={ (7) }^{ 2 }=49\)
Find the number which will replace the question mark in the given grid.
225 | 64 | 23 |
16 | 1 | 5 |
49 | 81 | ? |
- (a)
71
- (b)
16
- (c)
60
- (d)
30
\(\sqrt { 225 } +\sqrt { 64 } =15+8=23;\sqrt { 16 } +\sqrt { 1 } =4+1=5\)
Similarly \(\sqrt { 49 } +\sqrt { 81 } =7+9=16\)
Find the missing number in the following question
- (a)
184
- (b)
210
- (c)
241
- (d)
425
122 -82 =80,
162 -72 = 207
Similarly 252- 212= 184.
Which of the following is exactly in the middle of 3 and 1?
- (a)
B
- (b)
K
- (c)
9
- (d)
#
There are 11 elements between 3 and 1. So, the middle letter will be the sixth one, which is B.
How many such vowels are there in the given arrangement, each of which is immediately followed by a number but not immediately preceded by a consonant?
- (a)
None
- (b)
One
- (c)
Two
- (d)
Three
R E S D A P $ 3 T I Q 7 9 B # 2 K % U1 M W 4 * J 8 N
Which of the following is seventh to the left of the sixteenth from the left in the given arrangement?
- (a)
A
- (b)
U
- (c)
4
- (d)
T
The 16th element from the left is 2, and the element 7 steps to the left of 2 is 4
Four of the following five are alike in a certain way based on their position in the above arrangement and so form a group. Which is the cne that does not belong to that group?
- (a)
B K 7
- (b)
M 4 U
- (c)
D P E
- (d)
W J 1
In the all other groups, the first element moves 3 steps forward to give the second element, which in turn moves 5 steps backward to give the third element.
R * T J L 2 $ D = M # 8 C % B < K 1 & A W ? P E + Q @ 7 F 6
How many such numbers are there in the given sequence, each of which is immediately preceded by a consonant and immediately followed by a symbol?
- (a)
Nil
- (b)
One
- (c)
Three
- (d)
Four
R * T L 2 $ D = M # 8 C % B < K 1 & A W ? P E + Q @ ? F 6
R * T J L 2 $ D = M # 8 C % B < K 1 & A W ? P E + Q @ 7 F 6
Which of the following is sixth to the left of eighteenth element from the left?
- (a)
%
- (b)
C
- (c)
1
- (d)
8
The 18th element from the left is 1. The 6th element to the left of 1 is E.