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UPSC Civil Services Mathematical Operations Questions with Answers & Explanations

20 Mathematical Operations questions from the Logical Reasoning & Analytical Ability section of UPSC Civil Services, each with the correct answer and a worked explanation. Try each question first, then tap Show answer to check. When you're ready, take the timed chapter-wise test to see your all-India rank.

Question 1

If '+' means '×', '−' means '+', '×' means '÷' and '÷' means '−', what is the value of: 2 + 18 − 56 × 8 ÷ 5

  1. A38
  2. B33
  3. C35
  4. D43
Show answer
Answer: (A) 38 Replace the signs: 2 × 18 + 56 ÷ 8 − 5 = 36 + 7 − 5 = 38.
Question 2

If '+' means '×', '−' means '+', '×' means '÷' and '÷' means '−', what is the value of: 8 + 2 − 72 × 9 ÷ 2

  1. A27
  2. B22
  3. C25
  4. D17
Show answer
Answer: (B) 22 Replace the signs: 8 × 2 + 72 ÷ 9 − 2 = 16 + 8 − 2 = 22.
Question 3

If '+' means '×', '−' means '+', '×' means '÷' and '÷' means '−', what is the value of: 9 + 2 − 54 × 6 ÷ 6

  1. A26
  2. B24
  3. C22
  4. D21
Show answer
Answer: (D) 21 Replace the signs: 9 × 2 + 54 ÷ 6 − 6 = 18 + 9 − 6 = 21.
Question 4

If '+' means '×', '−' means '+', '×' means '÷' and '÷' means '−', what is the value of: 2 + 2 − 27 × 9 ÷ 3

  1. A6
  2. B4
  3. C2
  4. D5
Show answer
Answer: (B) 4 Replace the signs: 2 × 2 + 27 ÷ 9 − 3 = 4 + 3 − 3 = 4.
Question 5

If '+' means '×', '−' means '+', '×' means '÷' and '÷' means '−', what is the value of: 3 + 2 − 24 × 4 ÷ 6

  1. A7
  2. B5
  3. C6
  4. D1
Show answer
Answer: (C) 6 Replace the signs: 3 × 2 + 24 ÷ 4 − 6 = 6 + 6 − 6 = 6.
Question 6

If '+' means '×', '−' means '+', '×' means '÷' and '÷' means '−', what is the value of: 6 + 3 − 72 × 9 ÷ 6

  1. A22
  2. B20
  3. C18
  4. D23
Show answer
Answer: (B) 20 Replace the signs: 6 × 3 + 72 ÷ 9 − 6 = 18 + 8 − 6 = 20.
Question 7

If '+' means '×', '−' means '+', '×' means '÷' and '÷' means '−', what is the value of: 4 + 16 − 14 × 2 ÷ 2

  1. A72
  2. B71
  3. C70
  4. D69
Show answer
Answer: (D) 69 Replace the signs: 4 × 16 + 14 ÷ 2 − 2 = 64 + 7 − 2 = 69.
Question 8

If '+' means '×', '−' means '+', '×' means '÷' and '÷' means '−', what is the value of: 8 + 15 − 16 × 2 ÷ 1

  1. A124
  2. B130
  3. C128
  4. D127
Show answer
Answer: (D) 127 Replace the signs: 8 × 15 + 16 ÷ 2 − 1 = 120 + 8 − 1 = 127.
Question 9

If '+' means '×', '−' means '+', '×' means '÷' and '÷' means '−', what is the value of: 6 + 3 − 18 × 6 ÷ 2

  1. A20
  2. B18
  3. C22
  4. D19
Show answer
Answer: (D) 19 Replace the signs: 6 × 3 + 18 ÷ 6 − 2 = 18 + 3 − 2 = 19.
Question 10

If '+' means '×', '−' means '+', '×' means '÷' and '÷' means '−', what is the value of: 2 + 18 − 4 × 2 ÷ 1

  1. A34
  2. B39
  3. C40
  4. D37
Show answer
Answer: (D) 37 Replace the signs: 2 × 18 + 4 ÷ 2 − 1 = 36 + 2 − 1 = 37.

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Question 11

If '+' means '×', '−' means '+', '×' means '÷' and '÷' means '−', what is the value of: 6 + 2 − 12 × 2 ÷ 4

  1. A14
  2. B15
  3. C17
  4. D16
Show answer
Answer: (A) 14 Replace the signs: 6 × 2 + 12 ÷ 2 − 4 = 12 + 6 − 4 = 14.
Question 12

If '+' means '×', '−' means '+', '×' means '÷' and '÷' means '−', what is the value of: 6 + 10 − 28 × 7 ÷ 9

  1. A56
  2. B58
  3. C55
  4. D52
Show answer
Answer: (C) 55 Replace the signs: 6 × 10 + 28 ÷ 7 − 9 = 60 + 4 − 9 = 55.
Question 13

If '+' means '×', '−' means '+', '×' means '÷' and '÷' means '−', what is the value of: 7 + 10 − 9 × 3 ÷ 2

  1. A69
  2. B76
  3. C71
  4. D68
Show answer
Answer: (C) 71 Replace the signs: 7 × 10 + 9 ÷ 3 − 2 = 70 + 3 − 2 = 71.
Question 14

If '+' means '×', '−' means '+', '×' means '÷' and '÷' means '−', what is the value of: 9 + 13 − 28 × 4 ÷ 6

  1. A118
  2. B119
  3. C115
  4. D123
Show answer
Answer: (A) 118 Replace the signs: 9 × 13 + 28 ÷ 4 − 6 = 117 + 7 − 6 = 118.
Question 15

If '+' means '×', '−' means '+', '×' means '÷' and '÷' means '−', what is the value of: 3 + 7 − 36 × 6 ÷ 1

  1. A29
  2. B26
  3. C27
  4. D31
Show answer
Answer: (B) 26 Replace the signs: 3 × 7 + 36 ÷ 6 − 1 = 21 + 6 − 1 = 26.
Question 16

If '+' means '×', '−' means '+', '×' means '÷' and '÷' means '−', what is the value of: 3 + 4 − 18 × 6 ÷ 4

  1. A8
  2. B12
  3. C11
  4. D13
Show answer
Answer: (C) 11 Replace the signs: 3 × 4 + 18 ÷ 6 − 4 = 12 + 3 − 4 = 11.
Question 17

If '+' means '×', '−' means '+', '×' means '÷' and '÷' means '−', what is the value of: 9 + 12 − 16 × 4 ÷ 3

  1. A106
  2. B110
  3. C109
  4. D104
Show answer
Answer: (C) 109 Replace the signs: 9 × 12 + 16 ÷ 4 − 3 = 108 + 4 − 3 = 109.
Question 18

If '+' means '×', '−' means '+', '×' means '÷' and '÷' means '−', what is the value of: 2 + 2 − 25 × 5 ÷ 3

  1. A1
  2. B6
  3. C5
  4. D7
Show answer
Answer: (B) 6 Replace the signs: 2 × 2 + 25 ÷ 5 − 3 = 4 + 5 − 3 = 6.
Question 19

If '+' means '×', '−' means '+', '×' means '÷' and '÷' means '−', what is the value of: 2 + 2 − 48 × 6 ÷ 9

  1. A3
  2. B4
  3. C1
  4. D2
Show answer
Answer: (A) 3 Replace the signs: 2 × 2 + 48 ÷ 6 − 9 = 4 + 8 − 9 = 3.
Question 20

If '+' means '×', '−' means '+', '×' means '÷' and '÷' means '−', what is the value of: 6 + 7 − 18 × 2 ÷ 6

  1. A40
  2. B48
  3. C45
  4. D44
Show answer
Answer: (C) 45 Replace the signs: 6 × 7 + 18 ÷ 2 − 6 = 42 + 9 − 6 = 45.

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