Mathematical Operations(Reasoning Aptitude ) Questions and answers for exam Preparation

Reasoning Aptitude

MATHEMATICAL OPERATIONS MCQs

Total Questions : 233 | Page 2 of 24 pages

Question 11. If ‘÷' stands for ‘greater than', ‘x’ stands for 'addition', ‘+’ stands for ‘division', ‘-’ stands for 'equal to', ‘>' stands for 'multiplication', ‘=’ stands for 'less than' and ‘<’ stands for 'minus', then which of the following alternatives is correct?

5 > 2
5 < 2 x 1 +3 > 4 x 1
5 > 2 x 1- 3 > 4
5 + 2 x 1 = 3 + 4 > 1

Discuss Question

Answer: Option C. -> 5 > 2 x 1- 3 > 4
Answer: (c)
Using the proper notations in (c),
we get the statement as:
5 x 2 + 1 = 3 × 4 - 1
or 10 + 1 = 12 - 1
or 11 = 11,
which is true.

Question 12. Follow the above direction and find the correct expression among the options?

18 C 3 D 6 B 8 C 4 G 12
18 A 3 E 6 B 8 G 4 B 12
18 C 3 G 6 B 8 B 4 D 12
18 F 3 B 6 E 8 G 4 E 12

Discuss Question

Answer: Option C. -> 18 C 3 G 6 B 8 B 4 D 12
Answer: (c)
Using the proper notations in (c),
we get the statement as:
18 ÷ 3 - 6 + 8 + 4 = 12
or 6 - 6 + 8 + 4 = 12
or 12 = 12,
which is true.

Question 13. Follow the above direction and find the correct expression among the options?

15 B 5 G 8 B 4 G 6 F 3
15 C 15 B 8 F 4 B 6 C 3
15 A 5 E 8 C 4 B 6 E 3
15 C 5 F 8 C 4 B 6 C 3

Discuss Question

Answer: Option D. -> 15 C 5 F 8 C 4 B 6 C 3
Answer: (d)
Using the proper notations in (d),
we get the statement as:
15 ÷ 5 < 8 ÷ 4+6 ÷ 3
or 3 < 2 + 2
or 3 < 4,
which is true.

Question 14. Which of the following sets of operation with the usual notations replacing the stars in the order given makes the statements valid?

$√{100} * √{16} * √{225} * √{1}$

x, =, +
+, =, -
+, =, x
-, x, =

Discuss Question

Answer: Option B. -> +, =, -
Answer: (b)
$√{100} + √{16} = √{225} - √{1}$
10+ 4 = 15 -1
⇒ 14 = 14

Question 15. Select the correct combination of mathematical signs to replace * signs and to balance the following equation

8 * 8 * 1 * 7 = 8

x ÷ +
+ ÷ x
÷ x +
+ x ÷

Discuss Question

Answer: Option C. -> ÷ x +
Answer: (c)
From option (c),
8 * 8 * 1 * 7 = 8
⇒ 8 ÷ 8 x 1+7=8
⇒ 8= 8

Question 16. 17 - 3 x 6 = 45

x,-and =
=, x and –
-, x and =
x, = and -

Discuss Question

Answer: Option A. -> x,-and =
Answer: (a)
From option (a),
17 - 3 x 6 = 45
By interchanging the signs, from the options. We get,
⇒ 17 x 3 - 6 = 45 (using VBODMAS rule)
⇒ 51- 6 = 45
⇒ 45 = 45
LHS = RHS
∴ So, option (a) is correct.

Question 17. Select the correct combination of mathematical signs to replace the * signs and to balance the given equation

40 * 2 * 4 * 3 * 8

+ - ÷=
÷ + = x
+ ÷ x =
+ x - =

Discuss Question

Answer: Option B. -> ÷ + = x
Answer: (b)
Given, 40* 2* 4 * 3 * 8
Let us check all the options one by one.
From option (a), putting the signs in given equation, we get
40 + 2 - 4 ÷ 3 = 8
⇒ 42 - $4/3$ = 8
⇒ 126 - 4 = 24
⇒ 122 = 24
∴ LHS ≠ RHS
So, option (a) is incorrect.
From option (b), putting the signs in given equation, we get
40 ÷ 2 + 4 = 3 x 8
⇒ 20 + 4 = 24
⇒ 24 = 24
LHS = RHS
Hence, option (b) is correct and there is no need to check remaining options.

Question 18. Select the correct combination of mathematical signs to replace ‘*’ signs and to balance the given equation.

24 * 34 * 2 * 5 * 12

+ ÷ x =
= ÷ + -
= ÷ - +
+ ÷ = x

Discuss Question

Answer: Option C. -> = ÷ - +
Answer: (c)
From option (c).
24 = 34 ÷ 2 - 5+ 12
⇒ 24 = 17 - 5+12
⇒ 24 = 29 -5
⇒ 24 = 24

Question 19. 7 4 8 2 = 24

-, x and x
-, x and ÷
x, - and ÷
-, ÷ and x

Discuss Question

Answer: Option C. -> x, - and ÷
Answer: (c)
Let us check all the options one-by-one.
From option (a),
7- 4 x 8 x 2 = 24 (using VBODMAS rule)
⇒ 7 - 64 = 24
⇒ - 57 = 24
∴ LHS ≠ RHS
So, option (a) is incorrect.
From option (b),
7-4 x 8 ÷2 = 24 (using VBODMAS rule)
⇒ 7- 4 x 4 = 24 ⇒ 7 - 16 =24
⇒ -9 = 24
⇒ LHS ≠ RHS
So, option (b) is incorrect.
From option (c),
7 x 4 - 8 ÷ 2=24 (using VBODMAS rule)
⇒ 7 x 4- 4 = 24
⇒ 28 - 4 = 24
⇒ 24 = 24
⇒ LHS =RHS
So, option (c) is correct and hence, there is no need to check option (d).

Question 20. 6 5 4 = 34

- and +
x and +
÷ and x
x and +

Discuss Question

Answer: Option B. -> x and +
Answer: (b)
Let us check all the options one by one.
From option (a),
6 -5 + 4 = 34 (using VBODMAS rule)
⇒ 10 - 5 = 34 ⇒ 5= 34
∴ LHS ≠ RHS
So, option (a) is incorrect.
From option (b),
6 x 5+ 4 = 34 (using VBODMAS rule)
⇒ 30+ 4 = 34 ⇒ 34 = 34
⇒ LHS = RHS
So, option (b) gives us the correct answer and hence, there is no need to check remaining options.