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Indices and Surds - Aptitude Questions and Answers

This is aptitude questions and answers section on Indices and Surds with explanation for various interview, competitive examinations and entrance tests. This Indices and Surds section will linearly deal with some fundamental questions of Indices and Surds Quiz which are majorly asked in competitive exams like CAT, XAT, IBPS and government exams.

Indices and Surds Questions - Indices and Surds Quiz Details

Online Test Name Indices and Surds
Exam Type Multiple Choice Questions
Category Aptitude Quiz
Number of Questions 30
1. Simplify the following: 
(169/121)-3/2 * 27/2 * (13/22)-1
  • A. 13-1 114 33
  • B. 13-2 114 34
  • C. 13-3 114 34
  • D. 13-4 114 33
  • E. None of these
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Answer & Explanation

Answer: Option D

Explanation:

(169/121)-3/2 * 27/2 * (13/22)-1 

(132/112)-3/2 * 27/2 * 22/13 = 13-3/11-3 * 27/2 * 22/13
= 13-4 114 33 

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2. (272/4-3)-5/6 = ?
  • A. 1/1296
  • B. 1/46656
  • C. 1/7256
  • D. 1/7776
  • E. None of theses
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Answer & Explanation

Answer: Option D

Explanation:

(272/4-3)-5/6 = [(33)2/(22)-3]-5/6 

= (36 * 26)-5/6 
= (66)-5/6 = 1/65 = 1/ 7776.

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3. (5 - 7)2 * (6 - 9)2 / (23)-2 = ?
  • A. -2304
  • B. 2304
  • C. -2382
  • D. 2382
  • E. None of these
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Answer & Explanation

Answer: Option B

Explanation:

(5 - 7)2 * (6 - 9)2 / (23)-2 = (-2)2 * (-3)2 * 1/(23)-2 

= 4 * 9 * 64 = 2304.

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4. (a-3 b-2 / a2 b2)-3 * (a3 b-4 / a-3 b3) / (a-2 b3/a-4 b-3) = ?
  • A. a-19 b-1
  • B. a-19 b
  • C. a19 b-1
  • D. a19 b
  • E. None of these
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Answer & Explanation

Answer: Option C

Explanation:

(a-3 b-2 / a2 b2)-3 * (a3 b-4 / a-3 b3) / (a-2 b3/a-4 b-3) 

= (a-5 b-4)-3 * a6b-7 / a2b6 
= a15b12 * a6b-7 * a-2b-6 
= a19 b-1

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5. (8x9 / 27y-6)-2/3 = ?
  • A. 9/4 x-6 y-4
  • B. 9/4 x-4 y-6
  • C. 9/4 x-6 y4
  • D. 9/4 x-4 y6
  • E. None of these
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Answer & Explanation

Answer: Option A

Explanation:

(8x9 / 27y-6)-2/3 = (8x9y6 / 27)-2/3 = [(2/3 x3 y2)3]-2/3 

= 9/4 x-6 y-4.

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