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OTI365 - Olympiad -VI Standard
Olympiad Class VI Verbal - Mathematical reasoning Sample Questions with Answer

Olympiad Verbal - Mathematical reasoning

Exam Duration: 45 Mins Total Questions : 30

1 )

Find the missing number.

3 C	2 B	4 A
27 A	?	64 B
9 C	4 A	16 B

(a)
18 C
(b)
16 C
(c)
8 C
(d)
12 B

Solution :

Rule: In each row, out of the letters A, B and C, each must appear once.
In each column, the product of first and third number is equal to second number.
So, the missing number will be ( 2 x 4 ) = 8 the missing letter will be C.
Hence the required pair is 8 C.

2 )

If L stands for +, M stands for -, N stands for x and P stands for ÷ then what is the value of 14N10L42P2M8?

(a)
153
(b)
216
(c)
248
(d)
251

Solution :

Step 1:
Replace the signs as given in the condition.
\(\therefore\) Required expression = 14 x 10 + 42 ÷ 2 - 8
Step 2:
= 14 x 10 + 21 - 8 (\(\because\) 42 \(\div\) 2 = 21) (Division)
= 140 + 21 - 8 (\(\because\)14 x 10 = 140) (Multiplication)
= 161 - 8 (\(\because\)140 + 21 = 161) (Addition)
= 153 ( \(\because\) 161 - 8 = 153) (Subtraction)

3 )

If 'a' means' ÷', 'b' means 'x', 'c' means '+' and 'd' means '-' then what is the value of 48c5d16b8a4?

(a)
13
(b)
19
(c)
21
(d)
45

Solution :

Step 1:
Replace the signs as given in the condition.
\(\therefore\) Required expression = 48 ÷ 5 - 16 x 8 ÷ 4
Step 2:
Apply BODMAS rule and solve.
48 + 5-16 x 8 ÷ 4
= 48 + 5 - 16 x 2 ( \(\because\) 8 ÷ 4 = 2 ) ( Division )
= 48 5 - 32 ( \(\because\) 16 x 2 = 32 ) (Multiplication)
= 52 - 32 ( \(\because\) 48 + 5 = 53 ) (Addition)
= 21 ( \(\because\) 53 - 32 = 21 ) (Subtraction)

4 )

If stands for +, stands for -, stands for ÷, then find the value of 2).

(a)
17
(b)
20
(c)
24
(d)
28

Solution :

Step 1:
Replace the signs as given in the condition.
\(\therefore\) Required expression = 30 - 5 + 4 x (20 + 5 - 2)
Step 2:
Apply BODMAS rule and solve.
30 - 5 + 4 x [20 ÷ 5 - 2]
= 30 - 5 + 4 x [4 - 2] (\(\because\) 20 + 5 = 4) (Division in bracket)
= 30 - 5 + 4 x 2 (\(\because\) 4 - 2 = 2) (Bracket)
= 30 - 5 + 8 (\(\because\) 4 x 2 = 8) (Multiplication)
= 30 -13 (\(\because\)5 + 8 = 13) (Addition)
= 17 (\(\because\)30 - 13 = 7) (Subtraction)

5 )

If 7*1 = 64,3*9 = 144, 5*3 = 64, then what is the value of 6* 5?

(a)
144
(b)
121
(c)
96
(d)
78

Solution :

The rule which is applicable here is,
x*y =(x + y)x(x + y)
Since, 7 * 1 = (7 + 1) x (7 + 1) = 8 x 8 = 64
3 * 9 = (3 + 9) x (3 + 9) = 12 x 12 = 144
5* 3 = (5 + 3) x (5 + 3) = 8 x 8 = 64
In the a same way,
6*5 = (6 + 5) x (6 + 5) = 11 x 11 = 121

6 )

Which number will replace the question mark in the following?

(a)
19
(b)
341
(c)
361
(d)
441

Solution :

3 + 4 = 7 and 7²= 49
8 + 5 = 13 and 13²= 169
11 + 12 = 23 and 23² = 529
Similarly, 10 + 9 = 19 and 19²= 361

7 )

Which number will replace the question mark in the following?

(a)
7
(b)
14
(c)
48
(d)
49

Solution :

4²= 16; 6²= 36; 5²= 25
Similarly, 7²= 49

8 )

Which number will replace the question mark in the following?

(a)
1
(b)
2
(c)
3
(d)
4

Solution :

2²= 4, 8²= 64, 5²= 25
Similarly, 1²= 1

9 )

Which number will replace the question mark in the following?

(a)
40
(b)
38
(c)
44
(d)
39

Solution :

9 + (2)² = 13
13 + (3)² = 22
Similarly, 22+ (4)² = 38

10 )

Which number will replace the question mark?

(a)
9
(b)
21
(c)
11
(d)
10

Solution :

6+2=3+5=8
3+9=6+6=12
Similarly, (4 + 7) = (6 + 5) = 11

11 )

Which number will replace the question mark in the following?

(a)
18
(b)
12
(c)
9
(d)
6

Solution :

\(\frac{12+18+30}{10}=6\)
\(\frac{16+24+40}{10}=8\)
Similarly, \(\frac{45+18+27}{10}=9\)

12 )

Which number will replace the question mark?

(a)
47
(b)
49
(c)
57
(d)
50

13 )

Which number will replace the question mark in the following?

(a)
150
(b)
158
(c)
160
(d)
324

Solution :

9²+ 8² + 7²+ 6²= 81 + 64 + 49 + 36 = 230
6²+ 7² + 3²+ 4² = 36 + 49 + 9 + 16 = 110
Similarly, 9²+ 6²+ 5²+ 4² = 81 + 36 + 25 + 16 = 158

14 )

Which number will replace the question mark?

(a)
64
(b)
39
(c)
24
(d)
26

Solution :

1x2x3x4=24
5x1x2x3=30
Similarly, 4x2x1x3 = 24

15 )

Which number will replace the question mark in the following question?

(a)
60
(b)
46
(c)
86
(d)
75

Solution :

(30 - 24) x 8 = 48
(23 -12) x 8 = 88
Similarly (92 - 86) x 8 = 48

16 )

Which number will replace the question mark?

(a)
8
(b)
14
(c)
10
(d)
6

Solution :

10 - 4 = 6; 18 - 10 = 8; 18 - 4 = 14
14 - 8 = 6; 22 - 14 = 8; 22 - 8 = 14
Similarly, 11 - 5 = 6; 15 - 11 = 4; 15 - 5 = 10

17 )

If '+' is 'x', '-' is '+', 'x' is ' ÷ ' and' ÷ is '-', then answer the following question based on the information.
21 ÷ 8 + 2 - 12 x 3 =?

(a)
14
(b)
9
(c)
13.5
(d)
11

Solution :

21 - 8 x 2 + 12 ÷ 3
=21 - 16 + 4
=9

18 )

If '+' is 'x', '-' is '+', 'x' is ' ÷ ' and' ÷ is '-', then answer the following question based on the information.
15 x 5 ÷ 3 + 1 - 1=?

(a)
-1
(b)
-2
(c)
3
(d)
1

Solution :

15÷ 5 - 3x 1+ 1
=3-3+1
= 1

19 )

If '+' is 'x', '-' is '+', 'x' is ' ÷ ' and' ÷ is '-', then answer the following question based on the information.
6 - 9 + 8 x 3 ÷ 20 = ?

(a)
-2
(b)
6
(c)
10
(d)
12

Solution :

6 + 9 x 8 \(\div\) 3 - 20
= 6 + 24 - 20
= 10

20 )

If '+' is 'x', '-' is '+', 'x' is ' ÷ ' and' ÷ is '-', then answer the following question based on the information.
6 + 7 x 3 - 8 ÷ 20=?

(a)
-3
(b)
7
(c)
2
(d)
1

Solution :

6 x 7 ÷ 3 + 8 - 20
= 14 ÷ 8 - 20
=2

21 )

If '+' is 'x', '-' is '+', 'x' is ' ÷ ' and' ÷ is '-', then answer the following questions based on the information.
9 - 3 + 2 ÷ 16 x 2=?

(a)
7
(b)
5
(c)
9
(d)
6

Solution :

9 + 3 x 2 - 16 \(\div\) 2
=9 + 6 - 8
=7

22 )

If '+' is 'x', '-' is '+', 'x' is ' ÷ ' and' ÷ is '-', then answer the following question based on the information.
3 x 2 + 4 - 2 ÷ 9 = ?

(a)
-1
(b)
1
(c)
-2
(d)
3

Solution :

3 \(\div\) 2 x 4 + 2 - 9
=6 + 2 - 9
= - 1

23 )

If 10 x 2 means 5, 10÷4 means 14,10 + 4 means 6 and 10-4 means 40 then 10 x 5 ÷ 4 + 3 - 2 = ?

(a)
4
(b)
0
(c)
15
(d)
2

Solution :

By the directions given, the expression reduces to,
10 ÷ 5 + 4 - 3 x 2
=2 + 4 - 6 = 0

24 )

If 40 + 10 = 30, 18 + 8 = 10, then 60 + 60 = ?

(a)
120
(b)
3600
(c)
0
(d)
90

Solution :

We see that 40 + 10 = 30 and 18 + 8 = 10,
hence for -, + is used.
60 + 60 = 60 - 60 = 0

25 )

If '+' means '-'; '-' means 'x', 'x' means '÷' and '÷' means '+', then 2÷6 x 6÷2 = ?

(a)
1
(b)
0
(c)
5
(d)
6

Solution :

Putting proper symbols, we get
2 ÷ 6 x 6 ÷ 2
=2 + 6 ÷ 6 + 2
=2 + 1 + 2
=5

26 )

If 60 x 3 = 36; 11 x 7 = 81, then What is the value of 5 x 13?

(a)
65
(b)
66
(c)
81
(d)
51

Solution :

60 X 3 = 36; 11 X 7 = 81 = (7+1) X 1.
(5 x 13) = 81

27 )

In the statement below, two signs in the equations given have been interchanged. final out these two signs to make the equations correct 6 x 4 + 2 = 26

(a)
+ and x, 2 and 4
(b)
+ and x, 4 and 6
(c)
+ and x, 2 and 6
(d)
None of these

Solution :

6x4+2=24+2=26

28 )

In the statement below, two signs in the equations given have been interchanged. final out these two signs to make the equations correct
3 ÷ 5 x 8 ÷ 2 - 10= 13

(a)
+ and -
(b)
x and ÷
(c)
÷ and -
(d)
÷ and +

Solution :

3÷5x8+2-10=13

29 )

In the statement below, two signs in the equations given have been interchanged. final out these two signs to make the equations correct
51 ÷ 3 + 17 x 2 - 12 = 10

(a)
+ and ÷
(b)
- and x
(c)
÷ and x
(d)
x and ÷

Solution :

51 ÷ 3 + 17 - 2 x 12 = 10

30 )

If x stands for 'add', y stands for 'subtract', z stands for 'divide' and P stands for 'multiply, then what is the value of (7 P3) y 6 x 5?

(a)
5
(b)
10
(c)
15
(d)
20

Solution :

(7 x 3) - 6 + 5 = 21 - 1 = 20

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Olympiad Class VI Verbal - Mathematical reasoning Sample Questions with Answer

Olympiad Verbal - Mathematical reasoning

Exam Duration: 45 Mins Total Questions : 30

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