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CAT Simplification & Approximation Questions with Answers & Explanations

16 Simplification & Approximation questions from the Quantitative Ability section of CAT, 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.

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Question 1

Simplify: 16 + 9 × 3 − 77 ÷ 7

  1. A64
  2. B32
  3. C42
  4. D28
Show answer
Answer: (B) 32 By BODMAS: 9 × 3 = 27, 77 ÷ 7 = 11; 16 + 27 − 11 = 32.
Question 2

Simplify: 78 + 6 × 5 − 36 ÷ 3

  1. A92
  2. B96
  3. C106
  4. D408
Show answer
Answer: (B) 96 By BODMAS: 6 × 5 = 30, 36 ÷ 3 = 12; 78 + 30 − 12 = 96.
Question 3

Simplify: 46 + 10 × 9 − 66 ÷ 6

  1. A125
  2. B147
  3. C493
  4. D135
Show answer
Answer: (A) 125 By BODMAS: 10 × 9 = 90, 66 ÷ 6 = 11; 46 + 90 − 11 = 125.
Question 4

Simplify: 29 + 8 × 6 − 72 ÷ 6

  1. A61
  2. B75
  3. C65
  4. D89
Show answer
Answer: (C) 65 By BODMAS: 8 × 6 = 48, 72 ÷ 6 = 12; 29 + 48 − 12 = 65.
Question 5

Simplify: 51 + 6 × 8 − 55 ÷ 5

  1. A88
  2. B84
  3. C110
  4. D98
Show answer
Answer: (A) 88 By BODMAS: 6 × 8 = 48, 55 ÷ 5 = 11; 51 + 48 − 11 = 88.
Question 6

Simplify: 85 + 5 × 4 − 10 ÷ 2

  1. A100
  2. B355
  3. C96
  4. D110
Show answer
Answer: (A) 100 By BODMAS: 5 × 4 = 20, 10 ÷ 2 = 5; 85 + 20 − 5 = 100.
Question 7

Simplify: 85 + 3 × 9 − 36 ÷ 3

  1. A780
  2. B124
  3. C110
  4. D100
Show answer
Answer: (D) 100 By BODMAS: 3 × 9 = 27, 36 ÷ 3 = 12; 85 + 27 − 12 = 100.
Question 8

Simplify: 90 + 4 × 3 − 63 ÷ 7

  1. A93
  2. B273
  3. C103
  4. D111
Show answer
Answer: (A) 93 By BODMAS: 4 × 3 = 12, 63 ÷ 7 = 9; 90 + 12 − 9 = 93.
Question 9

Simplify: 21 + 15 × 2 − 6 ÷ 3

  1. A53
  2. B59
  3. C49
  4. D45
Show answer
Answer: (C) 49 By BODMAS: 15 × 2 = 30, 6 ÷ 3 = 2; 21 + 30 − 2 = 49.
Question 10

Simplify: 21 + 3 × 4 − 44 ÷ 4

  1. A44
  2. B32
  3. C85
  4. D22
Show answer
Answer: (D) 22 By BODMAS: 3 × 4 = 12, 44 ÷ 4 = 11; 21 + 12 − 11 = 22.

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Question 11

Simplify: 35 + 7 × 4 − 81 ÷ 9

  1. A54
  2. B64
  3. C72
  4. D50
Show answer
Answer: (A) 54 By BODMAS: 7 × 4 = 28, 81 ÷ 9 = 9; 35 + 28 − 9 = 54.
Question 12

Simplify: 51 + 3 × 2 − 55 ÷ 5

  1. A97
  2. B46
  3. C68
  4. D56
Show answer
Answer: (B) 46 By BODMAS: 3 × 2 = 6, 55 ÷ 5 = 11; 51 + 6 − 11 = 46.
Question 13

Simplify: 56 + 14 × 4 − 72 ÷ 8

  1. A103
  2. B121
  3. C99
  4. D113
Show answer
Answer: (A) 103 By BODMAS: 14 × 4 = 56, 72 ÷ 8 = 9; 56 + 56 − 9 = 103.
Question 14

Simplify: 30 + 15 × 8 − 16 ÷ 8

  1. A148
  2. B158
  3. C358
  4. D144
Show answer
Answer: (A) 148 By BODMAS: 15 × 8 = 120, 16 ÷ 8 = 2; 30 + 120 − 2 = 148.
Question 15

Simplify: 88 + 9 × 9 − 63 ÷ 9

  1. A158
  2. B162
  3. C172
  4. D176
Show answer
Answer: (B) 162 By BODMAS: 9 × 9 = 81, 63 ÷ 9 = 7; 88 + 81 − 7 = 162.
Question 16

Simplify: 68 + 6 × 9 − 63 ÷ 9

  1. A129
  2. B125
  3. C111
  4. D115
Show answer
Answer: (D) 115 By BODMAS: 6 × 9 = 54, 63 ÷ 9 = 7; 68 + 54 − 7 = 115.

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

More Quantitative Ability topics

Number System 22 Qs Algebra 19 Qs Profit, Loss & Discount 19 Qs Geometry 19 Qs Mensuration 18 Qs Coordinate Geometry 18 Qs Simple & Compound Interest 17 Qs Trigonometry 17 Qs

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