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CDS Simplification & Approximation Questions with Answers & Explanations

17 Simplification & Approximation questions from the Elementary Mathematics section of CDS, 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.

CDS full mocks
Question 1

Simplify: 42 + 6 × 5 − 15 ÷ 5

  1. A75
  2. B237
  3. C69
  4. D65
Show answer
Answer: (C) 69 By BODMAS: 6 × 5 = 30, 15 ÷ 5 = 3; 42 + 30 − 3 = 69.
Question 2

Simplify: 58 + 12 × 9 − 72 ÷ 9

  1. A622
  2. B174
  3. C154
  4. D158
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Answer: (D) 158 By BODMAS: 12 × 9 = 108, 72 ÷ 9 = 8; 58 + 108 − 8 = 158.
Question 3

Simplify: 52 + 14 × 5 − 72 ÷ 8

  1. A113
  2. B123
  3. C109
  4. D321
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Answer: (A) 113 By BODMAS: 14 × 5 = 70, 72 ÷ 8 = 9; 52 + 70 − 9 = 113.
Question 4

Simplify: 72 + 4 × 5 − 72 ÷ 8

  1. A371
  2. B101
  3. C83
  4. D93
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Answer: (C) 83 By BODMAS: 4 × 5 = 20, 72 ÷ 8 = 9; 72 + 20 − 9 = 83.
Question 5

Simplify: 49 + 11 × 6 − 32 ÷ 8

  1. A119
  2. B111
  3. C356
  4. D121
Show answer
Answer: (B) 111 By BODMAS: 11 × 6 = 66, 32 ÷ 8 = 4; 49 + 66 − 4 = 111.
Question 6

Simplify: 12 + 6 × 2 − 48 ÷ 6

  1. A16
  2. B28
  3. C12
  4. D32
Show answer
Answer: (A) 16 By BODMAS: 6 × 2 = 12, 48 ÷ 6 = 8; 12 + 12 − 8 = 16.
Question 7

Simplify: 36 + 6 × 3 − 20 ÷ 5

  1. A122
  2. B50
  3. C46
  4. D60
Show answer
Answer: (B) 50 By BODMAS: 6 × 3 = 18, 20 ÷ 5 = 4; 36 + 18 − 4 = 50.
Question 8

Simplify: 85 + 7 × 9 − 6 ÷ 3

  1. A826
  2. B156
  3. C150
  4. D146
Show answer
Answer: (D) 146 By BODMAS: 7 × 9 = 63, 6 ÷ 3 = 2; 85 + 63 − 2 = 146.
Question 9

Simplify: 61 + 14 × 2 − 18 ÷ 3

  1. A144
  2. B79
  3. C93
  4. D83
Show answer
Answer: (D) 83 By BODMAS: 14 × 2 = 28, 18 ÷ 3 = 6; 61 + 28 − 6 = 83.
Question 10

Simplify: 25 + 12 × 5 − 35 ÷ 5

  1. A178
  2. B92
  3. C78
  4. D88
Show answer
Answer: (C) 78 By BODMAS: 12 × 5 = 60, 35 ÷ 5 = 7; 25 + 60 − 7 = 78.
Question 11

Simplify: 29 + 8 × 8 − 90 ÷ 9

  1. A103
  2. B83
  3. C286
  4. D93
Show answer
Answer: (B) 83 By BODMAS: 8 × 8 = 64, 90 ÷ 9 = 10; 29 + 64 − 10 = 83.
Question 12

Simplify: 56 + 7 × 5 − 20 ÷ 4

  1. A82
  2. B86
  3. C96
  4. D310
Show answer
Answer: (B) 86 By BODMAS: 7 × 5 = 35, 20 ÷ 4 = 5; 56 + 35 − 5 = 86.
Question 13

Simplify: 33 + 7 × 8 − 72 ÷ 9

  1. A312
  2. B97
  3. C77
  4. D81
Show answer
Answer: (D) 81 By BODMAS: 7 × 8 = 56, 72 ÷ 9 = 8; 33 + 56 − 8 = 81.
Question 14

Simplify: 36 + 12 × 8 − 42 ÷ 7

  1. A126
  2. B136
  3. C122
  4. D138
Show answer
Answer: (A) 126 By BODMAS: 12 × 8 = 96, 42 ÷ 7 = 6; 36 + 96 − 6 = 126.
Question 15

Simplify: 15 + 6 × 9 − 36 ÷ 6

  1. A63
  2. B183
  3. C75
  4. D73
Show answer
Answer: (A) 63 By BODMAS: 6 × 9 = 54, 36 ÷ 6 = 6; 15 + 54 − 6 = 63.
Question 16

Simplify: 31 + 14 × 6 − 45 ÷ 5

  1. A261
  2. B106
  3. C102
  4. D116
Show answer
Answer: (B) 106 By BODMAS: 14 × 6 = 84, 45 ÷ 5 = 9; 31 + 84 − 9 = 106.
Question 17

Simplify: 72 + 10 × 6 − 24 ÷ 3

  1. A124
  2. B140
  3. C134
  4. D120
Show answer
Answer: (A) 124 By BODMAS: 10 × 6 = 60, 24 ÷ 3 = 8; 72 + 60 − 8 = 124.

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

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