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Quantitative Aptitude — Square root
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Quantitative Aptitude — Square root

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8 mins
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10
Questions
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1
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Quantitative Aptitude — Square root — Questions with Answers Open after you finish the quiz — all 10 questions, with answers and explanations.
Q1. Q1. What is the square root of 676?
  1. A) 16
  2. B) 24
  3. C) 26
  4. D) 34
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Answer: C. C) 26
The square root of 676 is 26, as 26 × 26 = 676.
Q2. Q2. Simplify: √144 + √81
  1. A) 20
  2. B) 21
  3. C) 22
  4. D) 23
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Answer: B. B) 21
√144 = 12 and √81 = 9, so 12 + 9 = 21.
Q3. Q3. What is the smallest number by which 243 must be multiplied to make it a perfect square?
  1. A) 2
  2. B) 3
  3. C) 5
  4. D) 7
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Answer: B. B) 3
Prime factorization of 243 is 3 × 3 × 3 × 3 × 3 (3⁵), so multiplying by 3 makes it 3⁶, a perfect square.
Q4. Q4. Find the value of √0.0009.
  1. A) 0.03
  2. B) 0.3
  3. C) 0.003
  4. D) 0.09
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Answer: A. A) 0.03
√0.0009 = √(9/10000) = 3/100 = 0.03.
Q5. Q5. A gardener plants 1225 trees in such a way that there are as many rows as there are trees in a row. Find the number of trees in each row.
  1. A) 25
  2. B) 35
  3. C) 45
  4. D) 55
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Answer: B. B) 35
The number of trees in each row is the square root of the total number of trees, i.e., √1225 = 35.
Q6. Q6. Evaluate √(196/289).
  1. A) 12/15
  2. B) 14/17
  3. C) 13/16
  4. D) 15/18
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Answer: B. B) 14/17
√196 = 14 and √289 = 17, so √(196/289) = 14/17.
Q7. Q7. Simplify: √729 - √225
  1. A) 12
  2. B) 14
  3. C) 16
  4. D) 18
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Answer: A. A) 12
√729 = 27 and √225 = 15, so 27 - 15 = 12.
Q8. Q8. What is the smallest number that must be subtracted from 1989 to make it a perfect square?
  1. A) 53
  2. B) 54
  3. C) 55
  4. D) 56
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Answer: A. A) 53
The largest perfect square less than 1989 is 44² = 1936, so 1989 - 1936 = 53.
Q9. Q9. If √x = 14, then x is equal to:
  1. A) 169
  2. B) 144
  3. C) 121
  4. D) 196
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Answer: D. D) 196
To find x, square both sides of the equation: x = 14² = 196.
Q10. Q10. Find the value of √(2.25 × 0.04).
  1. A) 0.15
  2. B) 0.03
  3. C) 0.3
  4. D) 0.06
Show answer
Answer: C. C) 0.3
√2.25 = 1.5 and √0.04 = 0.2, so 1.5 × 0.2 = 0.3.
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