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Quantitative Aptitude

SQUARE ROOT AND CUBE ROOT MCQs

Square Roots, Cube Roots, Squares And Square Roots

Total Questions : 547 | Page 12 of 55 pages
Question 111. Find the square of 42.
  1.    84
  2.    1700
  3.    1764
  4.    1889
 Discuss Question
Answer: Option C. -> 1764
:
C
The square of 42 should have 4 in the unit place (since the square of 2 is 4). 84 is too small to be square of 42. So, option 3 is correct.
Alternatively, 42 can be multiplied with itself to give the result.
Question 112. ((x2)2)2 = (x3)3
  1.    True
  2.    False
  3.    perfect number
  4.    irrational number
 Discuss Question
Answer: Option B. -> False
:
B
((x2)2)2=x8 and (x3)3=x9
As we can see the square of a square of a square has a total power of 8 whereas the cube of a cube has a total power of 9. Thus, they are not equal.
Question 113. Simplify 
81
  1.    27
  2.    3
  3.    9
  4.    Can't be determined
 Discuss Question
Answer: Option B. -> 3
:
B
81
=(9×9)[9×9=92=81]
=(9)[92=9]=(3×3)[3×3=32=9]=3
Question 114. Square of a perfect cube is another perfect cube.
  1.    True
  2.    False
  3.    9
  4.    Can't be determined
 Discuss Question
Answer: Option A. -> True
:
A
Square of a perfect cube is another perfect cube.
Let us take a number, n.
Its cube isn3. Square of this cube would be a perfect square given by (n3)2, which can also be written as(n2)3, a perfect cube.
Question 115. A division is the inverse operation of a square.
  1.    True
  2.    False
  3.    9
  4.    Can't be determined
 Discuss Question
Answer: Option B. -> False
:
B
The square root is the inverse operation of a square.
A division is the inverse operation of multiplication, not of a square.
Question 116. Which of the following will have 1 in its unit's place?
  1.    1232
  2.    1612
  3.    822
  4.    772
 Discuss Question
Answer: Option B. -> 1612
:
B
The square of a number will end in 1,if the digit in the units place is either1 or 9.
We know that12=1and92=81.
Among the given options, 161 has 1in its units place.
Hence,(161)2will have 1 in its unitsplace.
Question 117. The cube root of .000216 is:
  1.    .6
  2.    .06
  3.    77
  4.    87
 Discuss Question
Answer: Option B. -> .06
Question 118. What should come in place of both x in the equation $$\frac{x}{{\sqrt {128} }} = \frac{{\sqrt {162} }}{x}$$
  1.    12
  2.    14
  3.    144
  4.    196
 Discuss Question
Answer: Option A. -> 12
Question 119. The least perfect square, which is divisible by each of 21, 36 and 66 is:
  1.    213444
  2.    214344
  3.    214434
  4.    231444
 Discuss Question
Answer: Option A. -> 213444
Question 120. If $$3\sqrt 5 + \sqrt {125} $$   = 17.88, then what will be the value of $$\sqrt {80} + 6\sqrt 5 \,\,?$$
  1.    13.41
  2.    20.46
  3.    21.66
  4.    22.35
 Discuss Question
Answer: Option D. -> 22.35

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