Top Mathematical Reasoning MCQ Questions And Answers

Mathematical Reasoning MCQ

 

1. Which of the following symbols should be inserted in place of question mark (?) respectively (in the same order from left to right) in order to complete the given expression in such a manner that ‘U > S’, ‘Q < T’ and ‘S ≤ N’ definitely holds true?U > T ? D ≥ S ? Q ? N

(A) >, >, <

(B) >, =, <

(C) ≥, =, ≤

(D) >, =, ≤

(E) >, =, ≤

Show Answer
(E) >, =, ≤

 

2. Which of the following symbols should be placed in the blank space in order to complete the given expression in such a manner that ‘X > I’ definitely true?  A = R ≥ I ? T = N ≤ M = X

(A) ≥

(B) =

(C) <

(D) >

(E) ≤

Show Answer
(C) <

 

3. Which of the following symbols should be placed in the blank spaces respectively (in the same order from left to right) in order to complete the given expression in such a manner that “D < A” definitely holds True?
A __ B __ C __ D

(A) >, ≥, <

(B) ≤,

(C) ≥, =, <

(D) ≥, =, >

(E) None of these

Show Answer
(C) ≥, =, <

 

4. Select the correct combination of mathematical signs to sequentially replace the * signs and balance the given equation.
21 * 3 * 36 * 2 * 23 = 68

(A) ÷ − × +

(B) ÷ × + −

(C) + × − ÷

(D) × − ÷ +

Show Answer
(D) × − ÷ +

 

5. If + means −, − means ×, × means ÷, and ÷ means +, what will be the value of the following expression?
5 ÷ 5 + 5 – 10 × 10 = ?

(A) 15

(B) 4

(C) 5

(D) 10

Show Answer
(C) 5

 

6. Select the appropriate set of sequence of mathematical operators to replace all* signs in the following equation & hence to balance it. 16*6*4*24

(A) ÷ = ×

(B) × = ÷

(C) = ÷ ÷

(D) × ÷ =

Show Answer
(D) × ÷ =

 

7. Select the set of signs to replace * in the following equation: 7*7*2*1 = 12

(A) × – ÷

(B) + – ÷

(C) × – +

(D) + × –

Show Answer
(B) + – ÷

8. Some equations are solved according to the specific method. Solve the unsolved equation following this method:

If 10 – 3 = 12, 12 – 4 = 13, 14 – 5 = 14, then, 16 – 6 = ?

(A) 10

(B) 15

(C) 16

(D) 18

Show Answer
(B) 15

 

9. If ‘+’ denotes Divide, ‘–’ denotes Equal to, ‘×’ denotes Add, ‘÷’ denotes Greater than, ‘=’ denotes Less than, ‘>’ denotes Multiply & ‘<’ denotes Subtract, then which of the following option is correct?

(A) 5 + 2 × 1 = 3 + 4 > 1

(B) 5 > 2 × 1 – 3 > 4 < 1

(C) 5 × 2 < 1 – 3 < 4 × 1

(D) 5 < 2 × 1 ÷ 3 > 4 × 1

Show Answer
(B) 5 > 2 × 1 – 3 > 4 < 1

 

10. If ‘–’ means Divide, ‘+’ means Multiply, ‘÷’ means Subtract, ‘×’ means Add, then which of the following equations is correct?

(A) 18 ÷ 3 × 2 + 8 – 6 = 10

(B) 18 – 3 + 2 × 8 ÷ 6 = 14

(C) 18 – 3 ÷ 2 × 8 + 6 = 17

(D) 18 × 3 + 2 ÷ 8 – 6 = 15

Show Answer
(B) 18 – 3 + 2 × 8 ÷ 6 = 14

 

11. By interchanging the given two signs and numbers which of the following equation will be correct?
+ and –, 7 and 6

(A) 4 × 7 + 6 – 3 ÷ 1 = 20

(B) 8 × 7 + 5 ÷ 1 – 6 = 17

(C) 7 – 6 × 3 + 4 ÷ 1 = 8

(D) 7 × 2 – 6 + 4 ÷ 2 = 13

Show Answer
(A) 4 × 7 + 6 – 3 ÷ 1 = 20

 

12. Select the correct combination of mathematical signs to sequentially replace the # signs and to balance the given equation.
[{(44 # 38) # (2 # 5)} # (4 # 2)] # 5 # 10

(A) ×, ÷, ×, ×, −, +, =

(B) ×, ̶ , +, ×, ÷, ×, =

(C) ̶ , +, ×, ×, ÷, ×, =

(D) ̶ , +, ×, ÷, ×, ×, =

Show Answer
(D) ̶ , +, ×, ÷, ×, ×, =

 

13. Select the correct combination of mathematical signs to sequentially replace the * signs and to balance the given equation.
25 * 2 * 220 * 11 * 43

(A) +, −, ×, =

(B) +, −, ÷, =

(C) +, +, ÷, =

(D) −, +, ÷, =

Show Answer
(D) −, +, ÷, =

 

14. By Interchanging the given two numbers which of the following equation will be correct?
1 and 7

(A) 7 × 2 + 1 – 5 = 6

(B) 1 × 2 – 7 + 8 ÷ 2 = 16

(C) 7 + 1 × 2 – 6 ÷ 3 = 13

(D) 7 + 6 ÷ 3 – 5 × 1 = – 10

Show Answer
(D) 7 + 6 ÷ 3 – 5 × 1 = – 10

15. If ‘+’ means ‘÷’, ‘ ̶ ’ means ‘+’, ‘×’ means ‘ ̶ ’ and ‘÷’ means ‘×’, what will be the value of the following expression?
[{(32 × 20) – (2 ÷ 3)} + (2 – 4)] ÷ 3

(A) 8

(B) 10

(C) 9

(D) 6

Show Answer
(C) 9

 

16. Select the appropriate sequence of mathematical signs ti replace the * & balance the given equation?

(A) +, ÷, =, ÷

(B) ×, –, +, =

(C) +, –, =, ÷

(D) –, +, =, +

Show Answer
(B) ×, –, +, =

 

17. Which of the following is correct?

6*4*9*15

(A) ×, =, –

(B) ×, –, =

(C) =, ×, –

(D) –, ×, =

Show Answer
(B) ×, –, =

 

18. Which of the following is correct?

96*6*8*2

(A) ÷, =, ×

(B) ×, =, ÷

(C) =, ÷, ×

(D) =, ×, ÷

Show Answer
(A) ÷, =, ×

 

19. You have to select the appropriate answer from the option in the following question according to the given signs:

If – means ×, × means +, + means ÷ & ÷ means –, then 14 – 10 ÷ 4 × 16 + 8 =?

(A) 142

(B) 138

(C) 19

(D) 6

Show Answer
(B) 138

 

20. If P denotes +, Q denotes –, R denotes ÷ & S denotes ×, then, 

18 S 36 R 12 Q 6 P 7 =?

(A) 115

(B) 25

(C) 55

(D) 52

Show Answer
(C) 55

 

21. Which of the following interchange of numbers and signs would make the given equation correct?
10 − 4 ÷ 20 + 16 × 8 = 16

(A) 10 and 16, × and ÷

(B) 4 and 8, × and−

(C) 4 and 20, + and ÷

(D) 10 and 20, + and ×

Show Answer
(B) 4 and 8, × and−

22. By interchanging the given two signs and numbers which of the following equation will be not correct?
÷ and ×, 1 and 3

(A) 6 ÷ 3 – 1 + 4 × 2 = 5

(B) 4 × 3 – 1 + 8 ÷ 2 = 9

(C) 5 – 8 × 3 + 9 ÷ 1 = 24

(D) 6 + 4 – 9 × 3 ÷ 1 = –17

Show Answer
(B) 4 × 3 – 1 + 8 ÷ 2 = 9

 

23. After interchanging the given two numbers and two signs what will be the values of equation (I) and (II) respectively?
– and ×, 6 and 4
I. 7 × 6 + 8 ÷ 2 – 4
II. 4 – 7 × 6 + 8 ÷ 2

(A) 27, 42

(B) 27, 47

(C) 27, 49

(D) 25, 40

Show Answer
(A) 27, 42

 

24. By interchanging the given two signs and numbers which of the following equation will be not correct?
× and ÷, 2 and 6
I. 7 – 4 × 3 ÷ 6 + 2 = 8
II. 6 – 8 × 2 + 9 ÷ 3 = 5

(A) Only II

(B) Neither I nor II

(C) Only I

(D) Both I and II

Show Answer
(D) Both I and II

 

25. Which two numbers from amongst the given options should be interchanged to make the given equation correct?
248 ÷ 4 + 184 ÷ ( 4 × 6 – 2 × 8) = 77

(A) 8 and 4

(B) 184 and 77

(C) 184 and 248

(D) 4 and 6

Show Answer
(C) 184 and 248

 

26. If P = %, A = ‘–‘, B = ‘+’, C = ‘×’, D = ‘÷’, then (5PB53A4 of 100) D9 = ?

(A) 3

(B) 6

(C) 8

(D) 7

Show Answer
(B) 6

 

27. If P means –, Q means ×, R means ÷ & S means +, then what will be the value of given equation?

14 Q 3 P 12 S 4 R 2 =?

(A) 17

(B) 32

(C) 28

(D) 6

Show Answer
(B) 32

 

28. Which of the following will be correct after interchanging the position with each other for ÷ & = and 2 & 3?

(A) 15 = 2+3

(B) 5 ÷ 15 = 3

(C) 2 = 15 ÷ 3

(D) 3 = 2 ÷ 15

Show Answer
(B) 5 ÷ 15 = 3

29. Select the appropriate equation after interchanging the mathematical operators & numbers as shown below:

× & +;  12 & 16

(A) (60÷16) × 14 = 70

(B) (55-12) + 3 = 42

(C) (40×8) – 12 = 30

(D) (36+10) ÷ 16 = 30

Show Answer
(D) (36+10) ÷ 16 = 30

 

30. In the following question, Ω is used at various position instead of mathematical operators. Select the appropriate sequence of operators from the options, so the equation will be correct after putting these signs instead of Ω

24 Ω 4 Ω 5 Ω 4

(A) × + =

(B) = × +

(C) + × =

(D) = + ×

(E) Both the B and D are correct

Show Answer
(E) Both the B and D are correct

 

31. Which of the following options is correct?

8*5*27*3*16

(A) ×,=, –,+

(B) –, =, ×, +

(C) ×, =, +, –

(D) +, –, =, ×

Show Answer
(A) ×,=, –,+

 

32. By interchanging the given two signs which of the following equation will be correct?
× and +

(A) 7 × 8 ÷ 9 + 18 – 11 = 16

(B) 24 – 8 – 5 × 5 + 3 = 14

(C) 5 × 10 – 15 + 20 ÷ 25 = 8

(D) 24 × 8 + 6 ÷ 3 – 18 = 22

Show Answer
(D) 24 × 8 + 6 ÷ 3 – 18 = 22

 

33. After interchanging the given two numbers and two signs what will be the values of equation (I) and (II) respectively?
× and ÷, 7 and 9

I. 8 × 3 ÷ 6 + 9 – 7
II. 9 – 7 × 1 + 6 ÷ 3

(A) 0, 8

(B) 14, 16

(C) 6, 9

(D) 10, 11

Show Answer
(B) 14, 16

 

34. If + means −, − means ×, × means ÷, and ÷ means +, what will be the value of the following expression?
45 × 9 ÷ 12 – 5 + 3

(A) 34

(B) 27

(C) 36

(D) 62

Show Answer
(D) 62

 

35. Select the correct combination of mathematical signs to sequentially replace the * signs and balance the given equation.
33 * 4 * 15 * 3 * 61 = 188

(A) + × ÷ −

(B) × − ÷ +

(C) + − ÷ ×

(D) ÷ × − +

Show Answer
(B) × − ÷ +

36. By Interchanging the given two numbers which of the following equation will be not correct?
3 and 4

(A) 3 + 5 × 4 – 6 ÷ 2 = 16

(B) 4 × 6 – 3 + 9 ÷ 1 = 25

(C) 3 × 7 – 8 ÷ 2 + 4 = 27

(D) 9 × 3 ÷ 6 + 4 – 8 = 1

Show Answer
(B) 4 × 6 – 3 + 9 ÷ 1 = 25

 

37. If ‘–’ is for Divide, ‘÷’ is for Multiply, ‘+’ is for subtract & ‘×’ is for Add, then which of the following equation is correct?

(A) 20 + 8 – 7 ÷ 6 × 4 = 25

(B) 20 – 5 ÷ 4 + 6 × 5 = 15

(C) 20 × 5 – 6 ÷ 7 + 4 = 28

(D) 20 ÷ 4 – 8 × 10 + 6 = 36

Show Answer
(B) 20 – 5 ÷ 4 + 6 × 5 = 15

 

38. Which of the following set of signs should be used to replace*in the following?

25*2*6=4*11*0

(A) ×, –, ×, +

(B) +, –, ×, +

(C) ×, +, ×, –

(D) ×, +, +, ×

Show Answer
(A) ×, –, ×, +

 

39. Select the appropriate set of sequence of mathematical operators to replace all * sign in the following equation & hence to balance it.

28*4*9*16

(A) ÷ + =

(B) + ÷ =

(C) – × +

(D) – = ×

Show Answer
(A) ÷ + =

 

40. If + means ÷, – means ×, ÷ means +, & ‘×’ means ‘–’, then 36 × 12 + 4 ÷ 6 + 2 – 3 = ?

(A) 42

(B) 18

(C) 40

(D) 2

Show Answer
(A) 42

 

41. If + means ×, × means –, ÷ means + & – means ÷, then, 175 – 25 ÷ 5 + 20 x 3 +10 = ?

(A)  160

(B) 2370

(C) 77

(D) 240

Show Answer
(C) 77

 

42. If + means −, − means ×, × means ÷, and ÷ means +, what will be the value of the following expression?
3 ÷ 6 + 3 – 4 × 4 = ?

(A) 8

(B) 5

(C) 6

(D) 4

Show Answer
(C) 6

43. By interchanging the given two signs and numbers which of the following equation will be correct?
+ and –, 7 and 3

(A) 7 + 3 × 9 – 8 ÷ 2 = 30

(B) 9 × 7 + 3 – 4 ÷ 2 = 18

(C) 3 × 4 ÷ 2 + 7 – 5 = 16

(D) 3 + 7 ÷ 1 – 4 × 2 = 16

Show Answer
(C) 3 × 4 ÷ 2 + 7 – 5 = 16

 

44. Which of the following interchange of numbers and mathematical signs would make the given equation correct?
72 ÷ 8 × 9 − 36 + 20 = 80

(A) 20 and 80, × and +

(B) 9 and 36, × and ÷

(C) 36 and 72, ÷ and −

(D) 8 and 9, + and −

Show Answer
(D) 8 and 9, + and −

 

45. By interchanging the given two signs and numbers which of the following equation will be correct?
× and +, 6 and 4

(A) 3 × 9 – 4 ÷ 2 + 6 = 8

(B) 8 × 6 + 4 ÷ 2 – 5 = –5

(C) 8 – 3 × 6 + 4 ÷ 1 = 18

(D) 7 × 6 – 4 + 9 ÷ 3 = –7

Show Answer
(D) 7 × 6 – 4 + 9 ÷ 3 = –7

 

46. 836 – 246 # 82 + 66 – 234 # 13 = 881

# is equivalent to? 

(A) +

(B) *

(C) /

(D) _

Show Answer
(C) /

 

47. If + means –, – means ×, × means ÷ & ÷ means +, then 26 – 18 x 9 ÷3 +11=?

(A) 35

(B) 72

(C) 44

(D) 55

Show Answer
(C) 44

 

48. If + means ×, – means ÷, × means – & ÷ means +, then, 8 + 4 ÷ 3 × 18 – 9 =?

(A) 15

(B) 33

(C) 17

(D) 11

Show Answer
(B) 33

 

49. If – is for divide, + is for Multiply, ÷ is for subtract & × is for Add, then, 36+6-3×5÷3=?

(A) 74

(B) 72

(C) 80

(D) 85

Show Answer
(A) 74

50. Select the correct combination of mathematical signs to sequentially replace the * signs and balance the given equation.
268 * 4 * 8 * 5 * 14 = 41

(A) + × − ÷

(B) × ÷ + −

(C) ÷ × + −

(D) ÷ − × +

Show Answer
(D) ÷ − × +

 

51. If ÷ means −, − means ×, × means +, + means ÷, what will come in place of the question mark (?)?
77 ÷ 7 × 17 – 49 + 7 = ?

(A) 189

(B) 119

(C) 145

(D) 169

Show Answer
(A) 189

 

52. Select the correct combination of mathematical signs to sequentially replace the * signs and to balance the given equation.
20 * 2 * 50 * 5 * 115

(A) −, ×, =, +

(B) +, ×, =, −

(C) +, ×, −, =

(D) −, ×, +, =

Show Answer
(C) +, ×, −, =

 

53. Select the correct combination of mathematical signs to sequentially replace the * signs and to balance the given equation.
23 * 2 * 2 * 5 * 18

(A) −, ÷, ×, =

(B) −, ÷, +, =

(C) −, ÷, =, +

(D) −, ×, ÷, =

Show Answer
(A) −, ÷, ×, =

 

54. Which two signs and two numbers should be interchanged in the following equation to make it correct?
14 × 6 ÷ 12 + 15 − 9 = 203

(A) 15 , 6 , + , ÷

(B) 12 , 15 , − , ×

(C) 12 , 9 , ÷ , −

(D) 14 , 6 , ÷ , ×

Show Answer
(A) 15 , 6 , + , ÷

 

55. Which interchange of signs will correct the following equation?

35 + 7  ×  5 ÷ 5 – 6 = 24

(A) × & –

(B) + & ×

(C) ÷ & +

(D) – & +

Show Answer
(C) ÷ & +

 

56. Which signs & numbers should be interchanged so the given equation will be correct?

(12÷6) + 3 × 7 = 42

(A) + & ×

(B) 6 & 7

(C) ÷ & +

(D) 12 & 3

Show Answer
(C) ÷ & +

57. Which of the following equation will be correct if ÷ & +, 12 & 18 are interchanged with each other?

(A) (90×18) + 18 = 60

(B) (18+6) ÷ 12 = 2

(C) (72÷18) × 18 = 72

(D) (12+6) × 18 = 36

Show Answer
(D) (12+6) × 18 = 36

 

58. Which set of signs should be put at the place of *in the following?

25*2*6=4*11*0

(A) ×, –, ×,+

(B) ÷, –, ×,+

(C) ×,=,+, –

(D) ×, +,+, ×

Show Answer
(A) ×, –, ×,+

 

59. Select the appropriate sequence of mathematical signs, so the given equation will be balanced after interchanging all *s with signs in equation.

9*4*22*14

(A) × = –

(B) × – =

(C) = – ×

(D) – × =

Show Answer
(B) × – =

 

60. Some equations are solved following specific system. Answer for the unsolved equation on the basis of the system.

If 837 = 452, & 106 = 769, then, 708 ÷ 77?

(A) 9

(B) 10

(C) 11

(D) 12

Show Answer
(D) 12

 

61. P $ Q, means divide

       P # Q, means subtract

       P % Q, means add

       P @ Q, means multiply

then, 70 # 30% 80 $ 20 @ 10 = ?

(A) 60

(B) 80

(C) 20

(D) 10

Show Answer
(B) 80

 

62. If P means ×, Q means ÷, R means + & S means –, then what is the value of 154 Q 14 S 7 P 3 R 25?

(A) 35

(B) 57

(C) 42

(D) 15

Show Answer
(D) 15

 

63. If + means Multiply, × means Divide, – means Add & ÷ means Subtract, then, 20 – 8 × 4 ÷ 3 + 2 =?

(A) 16

(B) 20

(C) 18

(D) 31

Show Answer
(A) 16

64. If + means ×, – means ÷, × means – & ÷ means +, then, 6 ÷ 36 – 4 × 2 + 2 =?

(A) 6

(B) 8

(C) 11

(D) 17

Show Answer
(C) 11

 

65. If ÷ means ×, – means +, × means – & + means ÷, then what will be the value of the following ?

20+4×6–5÷7=?

(A) 28

(B) 32

(C) 34

(D) 36

Show Answer
(C) 34

 

66. Which of the following is correct?

6*3*4*45

(A) ÷, +, >

(B) ÷, >, +

(C) >, ÷, +

(D) +, >, ÷

Show Answer
(D) +, >, ÷

 

67. ‘+’ means divide, ‘÷’ means Multiply, ‘×’ means Subtract & ‘–’ means Add, then which of the following equations is correct?

(A) 18 ÷6–7+5 ×2 =20

(B) 18+6 ÷7×5–2 = 18

(C) 18×6+7÷5–2=16

(D) 18 ÷6×7+5 –2= 22

Show Answer
(B) 18+6 ÷7×5–2 = 18

 

68. If A means +, B means –, C means ×, D means ÷, then what is the meaning of 100 D 20 C 3 A 10 B 5?

(A) 15

(B) 25

(C) 30

(D) 20

Show Answer
(D) 20

 

69. If a means +, b means –, c means × & d means ÷, then 18 c 14 a 6 b 16 d 4 = ?

(A) 63

(B) 254

(C) 288

(D) 1208

Show Answer
(B) 254

 

70. If + means ÷, × means –, – means × & ÷ means +, then 38+19 – 16 x 17 ÷ 3 = ?

(A) 16

(B) 19

(C) 18

(D) 12

Show Answer
(C) 18

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