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Quantitative Aptitude

SURDS AND INDICES MCQs

Surds & Indices, Indices And Surds, Power

Total Questions : 753 | Page 2 of 76 pages
Question 11.

  1. Find the largest number among 1, \(\sqrt{2}, \sqrt[3]{3}and \sqrt[4]{4}\)

  1.    \(\sqrt{2}\)
  2.    \(\sqrt[3]{3}\)
  3.    \(\sqrt[4]{4}\)
  4.    none of these
 Discuss Question
Answer: Option B. -> \(\sqrt[3]{3}\)
Question 12.

  1. The value of (62)3 is

  1.    6 x 2 x 3 
  2.    216 x 2
  3.    65
  4.    66
 Discuss Question
Answer: Option D. -> 66
Question 13.

 \((\frac{x^{m^{2}+n^{2}}}{x^{- mn}})^{m - n} \times(\frac{x^{n^{2}+l^{2}}}{x^{- nl}})^{n - 1} \times (\frac{x^{l^{2}+m^{2}}}{x^{- lm}})^{l - m} \)  on simplification becomes

  1.    0
  2.    1
  3.    2
  4.    3
 Discuss Question
Answer: Option B. -> 1
Question 14.

  1. The square root of 7 +\(2\sqrt{10}\)is

  1.    \(\sqrt{3}+\sqrt{2}\)
  2.    \(\sqrt{3}-\sqrt{2}\)
  3.    \(\sqrt{5}+\sqrt{2}\)
  4.    \(\sqrt{2}-\sqrt{5}\)
 Discuss Question
Answer: Option C. -> \(\sqrt{5}+\sqrt{2}\)
Question 15.

  1. If \(x^{2}\times8^{\frac{1}{5}}=2^{\frac{1}{5}}\) then x is equal to

  1.    \(-\frac{2}{5}\)
  2.    \(\frac{2}{5}\)
  3.    \(-\frac{3}{5}\)
  4.    none of these
 Discuss Question
Answer: Option A. -> \(-\frac{2}{5}\)
Question 16.

Solve it   (17)3.5  x  (17)?  = 178

  1.    2.5
  2.    3.5
  3.    4.5
  4.    5.5
 Discuss Question
Answer: Option C. -> 4.5
Question 17.

  1. (18)3.5 ÷ (27)3.5  x  63.5  = 2?   

  1.    3.5
  2.    7
  3.    10.5
  4.    14
 Discuss Question
Answer: Option B. -> 7
Question 18.

The value of  \(\frac{(243)^{0.13}\times(243)^{0.07}}{(7)^{0.25}\times(49)^{0.075}\times(343)^{0.2}}\)  is

  1.    \(\frac{1}{7}\)
  2.    \(\frac{7}{3}\)
  3.    \(\frac{3}{7}\)
  4.    none of these
 Discuss Question
Answer: Option C. -> \(\frac{3}{7}\)
Question 19.

  1. If  \((\frac{a}{b})^{x - 1}=(\frac{b}{a})^{x - 3}\)  then the value of “x”

  1.    1
  2.    2
  3.    4
 Discuss Question
Answer: Option B. -> 2
Question 20.

) If  x = 3 + \(2\sqrt{2}\) , then   find  the value of     \(\sqrt{x}-\frac{1}{\sqrt{x}}\)

  1.    1
  2.    2
  3.    3
  4.    4
 Discuss Question
Answer: Option D. -> 4

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