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) >, =, ≤
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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) ≤
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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
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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) × − ÷ +
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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
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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) × ÷ =
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7. Select the set of signs to replace * in the following equation: 7*7*2*1 = 12
(A) × – ÷
(B) + – ÷
(C) × – +
(D) + × –
Show Answer8. 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
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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
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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
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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
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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) ̶ , +, ×, ÷, ×, ×, =
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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) −, +, ÷, =
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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 Answer15. 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
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16. Select the appropriate sequence of mathematical signs ti replace the * & balance the given equation?
(A) +, ÷, =, ÷
(B) ×, –, +, =
(C) +, –, =, ÷
(D) –, +, =, +
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17. Which of the following is correct?
6*4*9*15
(A) ×, =, –
(B) ×, –, =
(C) =, ×, –
(D) –, ×, =
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18. Which of the following is correct?
96*6*8*2
(A) ÷, =, ×
(B) ×, =, ÷
(C) =, ÷, ×
(D) =, ×, ÷
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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
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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
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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 Answer22. 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
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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
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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
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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
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26. If P = %, A = ‘–‘, B = ‘+’, C = ‘×’, D = ‘÷’, then (5PB53A4 of 100) D9 = ?
(A) 3
(B) 6
(C) 8
(D) 7
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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
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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 Answer29. 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
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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
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31. Which of the following options is correct?
8*5*27*3*16
(A) ×,=, –,+
(B) –, =, ×, +
(C) ×, =, +, –
(D) +, –, =, ×
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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
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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
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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
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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 Answer36. 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
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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
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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) ×, +, +, ×
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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) – = ×
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40. If + means ÷, – means ×, ÷ means +, & ‘×’ means ‘–’, then 36 × 12 + 4 ÷ 6 + 2 – 3 = ?
(A) 42
(B) 18
(C) 40
(D) 2
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41. If + means ×, × means –, ÷ means + & – means ÷, then, 175 – 25 ÷ 5 + 20 x 3 +10 = ?
(A) 160
(B) 2370
(C) 77
(D) 240
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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 Answer43. 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
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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 −
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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
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46. 836 – 246 # 82 + 66 – 234 # 13 = 881
# is equivalent to?
(A) +
(B) *
(C) /
(D) _
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47. If + means –, – means ×, × means ÷ & ÷ means +, then 26 – 18 x 9 ÷3 +11=?
(A) 35
(B) 72
(C) 44
(D) 55
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48. If + means ×, – means ÷, × means – & ÷ means +, then, 8 + 4 ÷ 3 × 18 – 9 =?
(A) 15
(B) 33
(C) 17
(D) 11
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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 Answer50. 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) ÷ − × +
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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
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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) −, ×, +, =
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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) −, ×, ÷, =
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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 , ÷ , ×
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55. Which interchange of signs will correct the following equation?
35 + 7 × 5 ÷ 5 – 6 = 24
(A) × & –
(B) + & ×
(C) ÷ & +
(D) – & +
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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 Answer57. 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
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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) ×, +,+, ×
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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) – × =
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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
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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
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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
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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 Answer64. If + means ×, – means ÷, × means – & ÷ means +, then, 6 ÷ 36 – 4 × 2 + 2 =?
(A) 6
(B) 8
(C) 11
(D) 17
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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
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66. Which of the following is correct?
6*3*4*45
(A) ÷, +, >
(B) ÷, >, +
(C) >, ÷, +
(D) +, >, ÷
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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
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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
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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
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70. If + means ÷, × means –, – means × & ÷ means +, then 38+19 – 16 x 17 ÷ 3 = ?
(A) 16
(B) 19
(C) 18
(D) 12
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