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UPTET Simplification & Approximation Questions with Answers & Explanations

18 Simplification & Approximation questions from the Mathematics section of UPTET, 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: 73 + 4 Γ— 6 βˆ’ 21 Γ· 3

  1. A90
  2. B455
  3. C86
  4. D104
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Answer: (A) 90 By BODMAS: 4 Γ— 6 = 24, 21 Γ· 3 = 7; 73 + 24 βˆ’ 7 = 90.
Question 2

Simplify: 95 + 15 Γ— 7 βˆ’ 60 Γ· 5

  1. A758
  2. B188
  3. C212
  4. D198
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Answer: (B) 188 By BODMAS: 15 Γ— 7 = 105, 60 Γ· 5 = 12; 95 + 105 βˆ’ 12 = 188.
Question 3

Simplify: 74 + 9 Γ— 8 βˆ’ 27 Γ· 3

  1. A147
  2. B137
  3. C155
  4. D133
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Answer: (B) 137 By BODMAS: 9 Γ— 8 = 72, 27 Γ· 3 = 9; 74 + 72 βˆ’ 9 = 137.
Question 4

Simplify: 79 + 13 Γ— 7 βˆ’ 8 Γ· 2

  1. A162
  2. B174
  3. C166
  4. D640
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Answer: (C) 166 By BODMAS: 13 Γ— 7 = 91, 8 Γ· 2 = 4; 79 + 91 βˆ’ 4 = 166.
Question 5

Simplify: 57 + 7 Γ— 2 βˆ’ 6 Γ· 3

  1. A65
  2. B79
  3. C73
  4. D69
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Answer: (D) 69 By BODMAS: 7 Γ— 2 = 14, 6 Γ· 3 = 2; 57 + 14 βˆ’ 2 = 69.
Question 6

Simplify: 66 + 12 Γ— 4 βˆ’ 16 Γ· 2

  1. A106
  2. B102
  3. C122
  4. D116
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Answer: (A) 106 By BODMAS: 12 Γ— 4 = 48, 16 Γ· 2 = 8; 66 + 48 βˆ’ 8 = 106.
Question 7

Simplify: 35 + 6 Γ— 5 βˆ’ 72 Γ· 9

  1. A73
  2. B197
  3. C57
  4. D67
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Answer: (C) 57 By BODMAS: 6 Γ— 5 = 30, 72 Γ· 9 = 8; 35 + 30 βˆ’ 8 = 57.
Question 8

Simplify: 75 + 6 Γ— 2 βˆ’ 42 Γ· 7

  1. A93
  2. B91
  3. C81
  4. D77
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Answer: (C) 81 By BODMAS: 6 Γ— 2 = 12, 42 Γ· 7 = 6; 75 + 12 βˆ’ 6 = 81.
Question 9

Simplify: 75 + 9 Γ— 8 βˆ’ 50 Γ· 5

  1. A662
  2. B133
  3. C147
  4. D137
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Answer: (D) 137 By BODMAS: 9 Γ— 8 = 72, 50 Γ· 5 = 10; 75 + 72 βˆ’ 10 = 137.
Question 10

Simplify: 83 + 5 Γ— 7 βˆ’ 15 Γ· 3

  1. A113
  2. B123
  3. C109
  4. D611
Show answer
Answer: (A) 113 By BODMAS: 5 Γ— 7 = 35, 15 Γ· 3 = 5; 83 + 35 βˆ’ 5 = 113.

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Question 11

Simplify: 21 + 4 Γ— 4 βˆ’ 15 Γ· 5

  1. A30
  2. B44
  3. C34
  4. D97
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Answer: (C) 34 By BODMAS: 4 Γ— 4 = 16, 15 Γ· 5 = 3; 21 + 16 βˆ’ 3 = 34.
Question 12

Simplify: 84 + 12 Γ— 9 βˆ’ 48 Γ· 6

  1. A200
  2. B184
  3. C180
  4. D194
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Answer: (B) 184 By BODMAS: 12 Γ— 9 = 108, 48 Γ· 6 = 8; 84 + 108 βˆ’ 8 = 184.
Question 13

Simplify: 34 + 11 Γ— 6 βˆ’ 12 Γ· 6

  1. A102
  2. B268
  3. C108
  4. D98
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Answer: (D) 98 By BODMAS: 11 Γ— 6 = 66, 12 Γ· 6 = 2; 34 + 66 βˆ’ 2 = 98.
Question 14

Simplify: 90 + 14 Γ— 4 βˆ’ 36 Γ· 6

  1. A410
  2. B150
  3. C140
  4. D136
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Answer: (C) 140 By BODMAS: 14 Γ— 4 = 56, 36 Γ· 6 = 6; 90 + 56 βˆ’ 6 = 140.
Question 15

Simplify: 27 + 4 Γ— 4 βˆ’ 27 Γ· 9

  1. A40
  2. B50
  3. C121
  4. D46
Show answer
Answer: (A) 40 By BODMAS: 4 Γ— 4 = 16, 27 Γ· 9 = 3; 27 + 16 βˆ’ 3 = 40.
Question 16

Simplify: 88 + 5 Γ— 9 βˆ’ 8 Γ· 4

  1. A131
  2. B127
  3. C141
  4. D135
Show answer
Answer: (A) 131 By BODMAS: 5 Γ— 9 = 45, 8 Γ· 4 = 2; 88 + 45 βˆ’ 2 = 131.
Question 17

Simplify: 93 + 4 Γ— 5 βˆ’ 12 Γ· 4

  1. A110
  2. B106
  3. C116
  4. D120
Show answer
Answer: (A) 110 By BODMAS: 4 Γ— 5 = 20, 12 Γ· 4 = 3; 93 + 20 βˆ’ 3 = 110.
Question 18

Simplify: 95 + 11 Γ— 7 βˆ’ 12 Γ· 4

  1. A169
  2. B739
  3. C165
  4. D175
Show answer
Answer: (A) 169 By BODMAS: 11 Γ— 7 = 77, 12 Γ· 4 = 3; 95 + 77 βˆ’ 3 = 169.

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

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