16 October 2020

Square Root and Cube Root Questions Answers Quantitative Aptitude

Quantitative Aptitude

1. If { \left( \frac { 3 }{ 4 } \right) }^{ 3 }{ \left( \frac { 4 }{ 3 } \right) }^{ -7 }={ \left( \frac { 3 }{ 4 } \right) }^{ 2x }, then x is:

  1. 2.5
  2. -2
  3. 2
  4. 5

2. Number of digits in the square root of 62478076 is:

  1. 3
  2. 4
  3. 5
  4. 6

3. A rational Number between \frac {3}{4} and \frac {3}{8} is

  1. \frac {16}{9}
  2. \frac {9}{16}
  3. \frac {12}{7}
  4. \frac {7}{3}

4. Find the simplest value of 2\sqrt {50}+\sqrt {18}–\sqrt {72} (Given \sqrt {2}=1.414)

  1. 10.312
  2. 8.484
  3. 4.242
  4. 9.898

5. The numerator of a fraction is 4 less than its denominator. If the numerator is decreased by 2 and the denominator is increased by 1, then the denominator becomes eight times the numerator. Find the fraction

  1. \frac {4}{8}
  2. \frac {2}{7}
  3. \frac {3}{8}
  4. \frac {3}{7}

6. If {x}^{2}=y+z, {y}^{2}={z}^{x} and {z}^{2}=x+y, then the value of \frac {1}{1+x}+\frac {1}{1+y}+\frac {1}{1+z} is

  1. 2
  2. 0
  3. -1
  4. 1

7. If a=2, b=3 then { \left( { a }^{ b }+{ b }^{ a } \right) }^{ -1 } is

  1. \frac {1}{31}
  2. \frac {1}{17}
  3. \frac {1}{21}
  4. \frac {1}{13}

8. The smallest positive integer which when multiplied by 392, gives a perfect square is

  1. 2
  2. 3
  3. 5
  4. 7

9. The forth root of 24010000 is

  1. 7
  2. 49
  3. 490
  4. 70

10. The greatest 4 digit member which is perfect square is

  1. 9999
  2. 9909
  3. 9801
  4. 9081

11. The value of \frac { 4+3\sqrt { 3 } }{ 7+4\sqrt { 3 } } is

  1. 5\sqrt {3}-8
  2. 5\sqrt {3}+8
  3. 8\sqrt {3}+5
  4. 8\sqrt {3}-5

12. Which of the following is the minimum value of the sum of two integers whose product is 24?

  1. 25
  2. 11
  3. 8
  4. 10

13. If { ({ 2 }^{ 3 }) }^{ 2 }={4}^{x} then {3}^{x} is equal to

  1. 3
  2. 6
  3. 9
  4. 27

14. Evaluate \frac { \sqrt { 24 } +\sqrt { 6 } }{ \sqrt { 24 } -\sqrt { 6 } }

  1. 2
  2. 3
  3. 4
  4. 5

15. A farmer divided his herd of n cows among his four sons, so that the first son gets one-half the herd, the second one-fourth and the third son one-fifth. If fourth son get 7 cows, then the value of n is

  1. 240
  2. 100
  3. 180
  4. 140

16. By what least number should 675 be multiplied to obtain a number which is a perfect cube?

  1. 7
  2. 8
  3. 5
  4. 6

17. If 21 is added to a number it becomes 7 less than thrice of the number. Then the number is

  1. 14
  2. 16
  3. 18
  4. 19

18. If the sum of two numbers be multiplied by each number separately, the products so obtained are 247 and 114. The sum of the number is

  1. 19
  2. 20
  3. 21
  4. 23

19. Find a number one seventh of which exceeds its eleventh part by 100

  1. 1925
  2. 1825
  3. 1540
  4. 1340

20. A student was asked to divide a number by 6 and add 12 to the quotient. He, however first added 12 to the number and then divided it by 6, getting 112 as the answer. The correct answer should have been

  1. 124
  2. 122
  3. 118
  4. 114

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