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CTET Simplification & Approximation Questions with Answers & Explanations

18 Simplification & Approximation questions from the Mathematics section of CTET, 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

Simplify: 25 + 15 Γ— 8 βˆ’ 54 Γ· 6

  1. A136
  2. B132
  3. C154
  4. D146
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Answer: (A) 136 By BODMAS: 15 Γ— 8 = 120, 54 Γ· 6 = 9; 25 + 120 βˆ’ 9 = 136.
Question 2

Simplify: 15 + 11 Γ— 4 βˆ’ 99 Γ· 9

  1. A48
  2. B70
  3. C44
  4. D58
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Answer: (A) 48 By BODMAS: 11 Γ— 4 = 44, 99 Γ· 9 = 11; 15 + 44 βˆ’ 11 = 48.
Question 3

Simplify: 63 + 4 Γ— 8 βˆ’ 8 Γ· 4

  1. A534
  2. B93
  3. C89
  4. D97
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Answer: (B) 93 By BODMAS: 4 Γ— 8 = 32, 8 Γ· 4 = 2; 63 + 32 βˆ’ 2 = 93.
Question 4

Simplify: 52 + 9 Γ— 5 βˆ’ 20 Γ· 5

  1. A93
  2. B89
  3. C301
  4. D103
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Answer: (A) 93 By BODMAS: 9 Γ— 5 = 45, 20 Γ· 5 = 4; 52 + 45 βˆ’ 4 = 93.
Question 5

Simplify: 51 + 9 Γ— 5 βˆ’ 35 Γ· 5

  1. A99
  2. B293
  3. C85
  4. D89
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Answer: (D) 89 By BODMAS: 9 Γ— 5 = 45, 35 Γ· 5 = 7; 51 + 45 βˆ’ 7 = 89.
Question 6

Simplify: 82 + 12 Γ— 7 βˆ’ 72 Γ· 9

  1. A650
  2. B168
  3. C158
  4. D174
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Answer: (C) 158 By BODMAS: 12 Γ— 7 = 84, 72 Γ· 9 = 8; 82 + 84 βˆ’ 8 = 158.
Question 7

Simplify: 21 + 7 Γ— 7 βˆ’ 60 Γ· 5

  1. A184
  2. B68
  3. C82
  4. D58
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Answer: (D) 58 By BODMAS: 7 Γ— 7 = 49, 60 Γ· 5 = 12; 21 + 49 βˆ’ 12 = 58.
Question 8

Simplify: 84 + 3 Γ— 4 βˆ’ 63 Γ· 7

  1. A339
  2. B87
  3. C105
  4. D97
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Answer: (B) 87 By BODMAS: 3 Γ— 4 = 12, 63 Γ· 7 = 9; 84 + 12 βˆ’ 9 = 87.
Question 9

Simplify: 57 + 14 Γ— 7 βˆ’ 72 Γ· 9

  1. A163
  2. B157
  3. C147
  4. D489
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Answer: (C) 147 By BODMAS: 14 Γ— 7 = 98, 72 Γ· 9 = 8; 57 + 98 βˆ’ 8 = 147.
Question 10

Simplify: 90 + 13 Γ— 9 βˆ’ 12 Γ· 3

  1. A203
  2. B199
  3. C213
  4. D211
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Answer: (A) 203 By BODMAS: 13 Γ— 9 = 117, 12 Γ· 3 = 4; 90 + 117 βˆ’ 4 = 203.

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Question 11

Simplify: 52 + 10 Γ— 4 βˆ’ 20 Γ· 5

  1. A84
  2. B96
  3. C244
  4. D88
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Answer: (D) 88 By BODMAS: 10 Γ— 4 = 40, 20 Γ· 5 = 4; 52 + 40 βˆ’ 4 = 88.
Question 12

Simplify: 28 + 14 Γ— 2 βˆ’ 9 Γ· 3

  1. A59
  2. B63
  3. C49
  4. D53
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Answer: (D) 53 By BODMAS: 14 Γ— 2 = 28, 9 Γ· 3 = 3; 28 + 28 βˆ’ 3 = 53.
Question 13

Simplify: 62 + 11 Γ— 8 βˆ’ 4 Γ· 2

  1. A144
  2. B158
  3. C148
  4. D152
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Answer: (C) 148 By BODMAS: 11 Γ— 8 = 88, 4 Γ· 2 = 2; 62 + 88 βˆ’ 2 = 148.
Question 14

Simplify: 35 + 15 Γ— 5 βˆ’ 20 Γ· 4

  1. A101
  2. B245
  3. C105
  4. D115
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Answer: (C) 105 By BODMAS: 15 Γ— 5 = 75, 20 Γ· 4 = 5; 35 + 75 βˆ’ 5 = 105.
Question 15

Simplify: 30 + 4 Γ— 2 βˆ’ 32 Γ· 4

  1. A30
  2. B46
  3. C60
  4. D26
Show answer
Answer: (A) 30 By BODMAS: 4 Γ— 2 = 8, 32 Γ· 4 = 8; 30 + 8 βˆ’ 8 = 30.
Question 16

Simplify: 58 + 8 Γ— 3 βˆ’ 60 Γ· 6

  1. A82
  2. B92
  3. C188
  4. D72
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Answer: (D) 72 By BODMAS: 8 Γ— 3 = 24, 60 Γ· 6 = 10; 58 + 24 βˆ’ 10 = 72.
Question 17

Simplify: 17 + 9 Γ— 3 βˆ’ 42 Γ· 6

  1. A47
  2. B51
  3. C33
  4. D37
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Answer: (D) 37 By BODMAS: 9 Γ— 3 = 27, 42 Γ· 6 = 7; 17 + 27 βˆ’ 7 = 37.
Question 18

Simplify: 80 + 3 Γ— 3 βˆ’ 55 Γ· 5

  1. A74
  2. B88
  3. C238
  4. D78
Show answer
Answer: (D) 78 By BODMAS: 3 Γ— 3 = 9, 55 Γ· 5 = 11; 80 + 9 βˆ’ 11 = 78.

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