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GATE Mathematical Operations Questions with Answers & Explanations

15 Mathematical Operations questions from the General Aptitude (Quantitative & Reasoning) section of GATE, 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 'Γ—', 'βˆ’' means '+', 'Γ—' means 'Γ·' and 'Γ·' means 'βˆ’', what is the value of: 3 + 13 βˆ’ 9 Γ— 3 Γ· 2

  1. A41
  2. B43
  3. C40
  4. D45
Show answer
Answer: (C) 40 Replace the signs: 3 Γ— 13 + 9 Γ· 3 βˆ’ 2 = 39 + 3 βˆ’ 2 = 40.
Question 2

If '+' means 'Γ—', 'βˆ’' means '+', 'Γ—' means 'Γ·' and 'Γ·' means 'βˆ’', what is the value of: 5 + 11 βˆ’ 18 Γ— 6 Γ· 1

  1. A58
  2. B62
  3. C57
  4. D52
Show answer
Answer: (C) 57 Replace the signs: 5 Γ— 11 + 18 Γ· 6 βˆ’ 1 = 55 + 3 βˆ’ 1 = 57.
Question 3

If '+' means 'Γ—', 'βˆ’' means '+', 'Γ—' means 'Γ·' and 'Γ·' means 'βˆ’', what is the value of: 2 + 6 βˆ’ 16 Γ— 4 Γ· 8

  1. A6
  2. B7
  3. C8
  4. D11
Show answer
Answer: (C) 8 Replace the signs: 2 Γ— 6 + 16 Γ· 4 βˆ’ 8 = 12 + 4 βˆ’ 8 = 8.
Question 4

If '+' means 'Γ—', 'βˆ’' means '+', 'Γ—' means 'Γ·' and 'Γ·' means 'βˆ’', what is the value of: 5 + 16 βˆ’ 45 Γ— 9 Γ· 5

  1. A83
  2. B82
  3. C79
  4. D80
Show answer
Answer: (D) 80 Replace the signs: 5 Γ— 16 + 45 Γ· 9 βˆ’ 5 = 80 + 5 βˆ’ 5 = 80.
Question 5

If '+' means 'Γ—', 'βˆ’' means '+', 'Γ—' means 'Γ·' and 'Γ·' means 'βˆ’', what is the value of: 4 + 11 βˆ’ 18 Γ— 9 Γ· 6

  1. A40
  2. B45
  3. C42
  4. D37
Show answer
Answer: (A) 40 Replace the signs: 4 Γ— 11 + 18 Γ· 9 βˆ’ 6 = 44 + 2 βˆ’ 6 = 40.
Question 6

If '+' means 'Γ—', 'βˆ’' means '+', 'Γ—' means 'Γ·' and 'Γ·' means 'βˆ’', what is the value of: 8 + 19 βˆ’ 12 Γ— 3 Γ· 7

  1. A147
  2. B149
  3. C150
  4. D144
Show answer
Answer: (B) 149 Replace the signs: 8 Γ— 19 + 12 Γ· 3 βˆ’ 7 = 152 + 4 βˆ’ 7 = 149.
Question 7

If '+' means 'Γ—', 'βˆ’' means '+', 'Γ—' means 'Γ·' and 'Γ·' means 'βˆ’', what is the value of: 6 + 10 βˆ’ 8 Γ— 4 Γ· 6

  1. A56
  2. B51
  3. C57
  4. D58
Show answer
Answer: (A) 56 Replace the signs: 6 Γ— 10 + 8 Γ· 4 βˆ’ 6 = 60 + 2 βˆ’ 6 = 56.
Question 8

If '+' means 'Γ—', 'βˆ’' means '+', 'Γ—' means 'Γ·' and 'Γ·' means 'βˆ’', what is the value of: 7 + 18 βˆ’ 72 Γ— 8 Γ· 9

  1. A126
  2. B128
  3. C125
  4. D123
Show answer
Answer: (A) 126 Replace the signs: 7 Γ— 18 + 72 Γ· 8 βˆ’ 9 = 126 + 9 βˆ’ 9 = 126.
Question 9

If '+' means 'Γ—', 'βˆ’' means '+', 'Γ—' means 'Γ·' and 'Γ·' means 'βˆ’', what is the value of: 6 + 18 βˆ’ 18 Γ— 6 Γ· 3

  1. A105
  2. B108
  3. C109
  4. D107
Show answer
Answer: (B) 108 Replace the signs: 6 Γ— 18 + 18 Γ· 6 βˆ’ 3 = 108 + 3 βˆ’ 3 = 108.
Question 10

If '+' means 'Γ—', 'βˆ’' means '+', 'Γ—' means 'Γ·' and 'Γ·' means 'βˆ’', what is the value of: 9 + 14 βˆ’ 28 Γ— 7 Γ· 1

  1. A126
  2. B128
  3. C129
  4. D130
Show answer
Answer: (C) 129 Replace the signs: 9 Γ— 14 + 28 Γ· 7 βˆ’ 1 = 126 + 4 βˆ’ 1 = 129.

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Question 11

If '+' means 'Γ—', 'βˆ’' means '+', 'Γ—' means 'Γ·' and 'Γ·' means 'βˆ’', what is the value of: 7 + 5 βˆ’ 4 Γ— 2 Γ· 8

  1. A29
  2. B26
  3. C27
  4. D32
Show answer
Answer: (A) 29 Replace the signs: 7 Γ— 5 + 4 Γ· 2 βˆ’ 8 = 35 + 2 βˆ’ 8 = 29.
Question 12

If '+' means 'Γ—', 'βˆ’' means '+', 'Γ—' means 'Γ·' and 'Γ·' means 'βˆ’', what is the value of: 6 + 18 βˆ’ 12 Γ— 6 Γ· 5

  1. A103
  2. B110
  3. C105
  4. D107
Show answer
Answer: (C) 105 Replace the signs: 6 Γ— 18 + 12 Γ· 6 βˆ’ 5 = 108 + 2 βˆ’ 5 = 105.
Question 13

If '+' means 'Γ—', 'βˆ’' means '+', 'Γ—' means 'Γ·' and 'Γ·' means 'βˆ’', what is the value of: 9 + 18 βˆ’ 10 Γ— 5 Γ· 4

  1. A160
  2. B163
  3. C158
  4. D157
Show answer
Answer: (A) 160 Replace the signs: 9 Γ— 18 + 10 Γ· 5 βˆ’ 4 = 162 + 2 βˆ’ 4 = 160.
Question 14

If '+' means 'Γ—', 'βˆ’' means '+', 'Γ—' means 'Γ·' and 'Γ·' means 'βˆ’', what is the value of: 9 + 13 βˆ’ 9 Γ— 3 Γ· 9

  1. A108
  2. B114
  3. C111
  4. D116
Show answer
Answer: (C) 111 Replace the signs: 9 Γ— 13 + 9 Γ· 3 βˆ’ 9 = 117 + 3 βˆ’ 9 = 111.
Question 15

If '+' means 'Γ—', 'βˆ’' means '+', 'Γ—' means 'Γ·' and 'Γ·' means 'βˆ’', what is the value of: 9 + 8 βˆ’ 20 Γ— 4 Γ· 1

  1. A79
  2. B74
  3. C78
  4. D76
Show answer
Answer: (D) 76 Replace the signs: 9 Γ— 8 + 20 Γ· 4 βˆ’ 1 = 72 + 5 βˆ’ 1 = 76.

These are RankerClub practice questions written in the GATE pattern. They are not official SSC/IBPS/RRB papers.

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