Simplification & Approximation

Ladakh Police Sub-Inspector · Mathematics · 100 practice questions with answers and explanations: 67 Easy, 33 Medium, 0 Hard.

Sample questions

Sample Easy question 1

Using the identity a²-b² = (a+b)(a-b), simplify 47² - 33².

  1. 1110
  2. 1130
  3. 1120
  4. 1100
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Answer: C. (47+33)(47-33) = 80 × 14 = 1120.

Sample Easy question 2

Using the identity a²-b² = (a+b)(a-b), simplify 68² - 32².

  1. 3500
  2. 3600
  3. 3400
  4. 3700
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Answer: B. (68+32)(68-32) = 100 × 36 = 3600.

Sample Easy question 3

Find the value of 12³ + 8³.

  1. 2240
  2. 2220
  3. 2250
  4. 2230
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Answer: A. 12³ = 1728, 8³ = 512; sum = 2240.

Sample Medium question 4

Simplify: 20² - 16²

  1. 141
  2. 147
  3. 144
  4. 138
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Answer: C. 400 - 256 = 144.

Sample Medium question 5

Simplify: √324 + √361

  1. 36
  2. 35.5
  3. 37
  4. 34
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Answer: C. √324 = 18, √361 = 19; sum = 37.

Sample Medium question 6

Simplify: √400 - √144

  1. 8
  2. 7.5
  3. 6
  4. 7
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Answer: A. √400 = 20, √144 = 12; difference = 8.

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