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XAT Simplification & Approximation Questions with Answers & Explanations

17 Simplification & Approximation questions from the Quantitative Ability & Data Interpretation section of XAT, 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 + 3 × 4 − 40 ÷ 5

  1. A68
  2. B30
  3. C16
  4. D20
  5. E36
Show answer
Answer: (D) 20 By BODMAS: 3 × 4 = 12, 40 ÷ 5 = 8; 16 + 12 − 8 = 20.
Question 2

Simplify: 39 + 15 × 8 − 40 ÷ 8

  1. A150
  2. B164
  3. C427
  4. D154
  5. ENone of these
Show answer
Answer: (D) 154 By BODMAS: 15 × 8 = 120, 40 ÷ 8 = 5; 39 + 120 − 5 = 154.
Question 3

Simplify: 24 + 7 × 5 − 18 ÷ 2

  1. A146
  2. B68
  3. C60
  4. D50
  5. E46
Show answer
Answer: (D) 50 By BODMAS: 7 × 5 = 35, 18 ÷ 2 = 9; 24 + 35 − 9 = 50.
Question 4

Simplify: 21 + 11 × 7 − 88 ÷ 8

  1. A213
  2. B109
  3. C83
  4. D97
  5. E87
Show answer
Answer: (E) 87 By BODMAS: 11 × 7 = 77, 88 ÷ 8 = 11; 21 + 77 − 11 = 87.
Question 5

Simplify: 59 + 13 × 8 − 66 ÷ 6

  1. A152
  2. B148
  3. C174
  4. D162
  5. E565
Show answer
Answer: (A) 152 By BODMAS: 13 × 8 = 104, 66 ÷ 6 = 11; 59 + 104 − 11 = 152.
Question 6

Simplify: 57 + 4 × 2 − 36 ÷ 9

  1. A118
  2. B69
  3. C61
  4. D57
  5. E71
Show answer
Answer: (C) 61 By BODMAS: 4 × 2 = 8, 36 ÷ 9 = 4; 57 + 8 − 4 = 61.
Question 7

Simplify: 62 + 10 × 3 − 6 ÷ 3

  1. A94
  2. B100
  3. C86
  4. D90
  5. E214
Show answer
Answer: (D) 90 By BODMAS: 10 × 3 = 30, 6 ÷ 3 = 2; 62 + 30 − 2 = 90.
Question 8

Simplify: 42 + 11 × 4 − 54 ÷ 9

  1. A76
  2. B92
  3. C80
  4. D90
  5. E206
Show answer
Answer: (C) 80 By BODMAS: 11 × 4 = 44, 54 ÷ 9 = 6; 42 + 44 − 6 = 80.
Question 9

Simplify: 51 + 12 × 3 − 80 ÷ 8

  1. A73
  2. B77
  3. C179
  4. D97
  5. E87
Show answer
Answer: (B) 77 By BODMAS: 12 × 3 = 36, 80 ÷ 8 = 10; 51 + 36 − 10 = 77.
Question 10

Simplify: 42 + 3 × 4 − 40 ÷ 5

  1. A46
  2. B42
  3. C172
  4. D62
  5. E56
Show answer
Answer: (A) 46 By BODMAS: 3 × 4 = 12, 40 ÷ 5 = 8; 42 + 12 − 8 = 46.

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Question 11

Simplify: 24 + 15 × 5 − 96 ÷ 8

  1. A97
  2. B83
  3. C87
  4. D111
  5. E183
Show answer
Answer: (C) 87 By BODMAS: 15 × 5 = 75, 96 ÷ 8 = 12; 24 + 75 − 12 = 87.
Question 12

Simplify: 16 + 15 × 8 − 30 ÷ 5

  1. A140
  2. B142
  3. C242
  4. D130
  5. E126
Show answer
Answer: (D) 130 By BODMAS: 15 × 8 = 120, 30 ÷ 5 = 6; 16 + 120 − 6 = 130.
Question 13

Simplify: 99 + 13 × 8 − 88 ÷ 8

  1. A188
  2. B192
  3. C214
  4. D885
  5. E202
Show answer
Answer: (B) 192 By BODMAS: 13 × 8 = 104, 88 ÷ 8 = 11; 99 + 104 − 11 = 192.
Question 14

Simplify: 43 + 4 × 6 − 49 ÷ 7

  1. A74
  2. B56
  3. C70
  4. D60
  5. E275
Show answer
Answer: (D) 60 By BODMAS: 4 × 6 = 24, 49 ÷ 7 = 7; 43 + 24 − 7 = 60.
Question 15

Simplify: 48 + 7 × 3 − 16 ÷ 2

  1. A77
  2. B57
  3. C157
  4. D61
  5. E71
Show answer
Answer: (D) 61 By BODMAS: 7 × 3 = 21, 16 ÷ 2 = 8; 48 + 21 − 8 = 61.
Question 16

Simplify: 45 + 3 × 8 − 10 ÷ 2

  1. A64
  2. B379
  3. C74
  4. D60
  5. ENone of these
Show answer
Answer: (A) 64 By BODMAS: 3 × 8 = 24, 10 ÷ 2 = 5; 45 + 24 − 5 = 64.
Question 17

Simplify: 14 + 8 × 6 − 14 ÷ 7

  1. A56
  2. B64
  3. C60
  4. D70
  5. E130
Show answer
Answer: (C) 60 By BODMAS: 8 × 6 = 48, 14 ÷ 7 = 2; 14 + 48 − 2 = 60.

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

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