Surds & Indices

JKSSB Class-IV & MTS · Mathematics · 12 practice questions with answers and explanations: 2 Easy, 6 Medium, 4 Hard.

Sample questions

Sample Easy question 1

Find the value of (3²)³.

  1. 81
  2. 729
  3. 243
  4. 59049
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Answer: B. (3²)³ = 3⁶ = 729.

Sample Medium question 2

If 5^a = 125 and 2^b = 32, find a + b.

  1. 8
  2. 5
  3. 7
  4. 15
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Answer: A. a = 3 and b = 5, so a + b = 8.

Sample Hard question 3

Find the value of 25^(−3/2).

  1. 1/5
  2. 1/125
  3. 125
  4. 1/25
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Answer: B. 25^(−3/2) = (5²)^(−3/2) = 5^(−3) = 1/125.

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