Surds & Indices

JKSSB Sub-Inspector (Telecommunication) · Basic Numeracy · 12 practice questions with answers and explanations: 2 Easy, 6 Medium, 4 Hard.

Sample questions

Sample Easy question 1

Find the value of 2⁵ × 2³ ÷ 2⁴.

  1. 64
  2. 32
  3. 16
  4. 8
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Answer: C. Add and subtract the powers: 2^(5+3−4) = 2⁴ = 16.

Sample Medium question 2

If 3^(x+1) = 81, find x.

  1. 2
  2. 4
  3. 3
  4. 5
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Answer: C. 81 = 3⁴, so x + 1 = 4 and x = 3.

Sample Hard question 3

Rationalise the denominator of 1/(√3 − √2).

  1. 1/(√3 + √2)
  2. √3 − √2
  3. √6
  4. √3 + √2
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Answer: D. Multiply by (√3 + √2)/(√3 + √2): the denominator becomes 3 − 2 = 1, giving √3 + √2.

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