Quantitative Aptitude - Square Roots and Cube Roots - Formula & Concepts Quiz
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1
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Formula & Concepts
=
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2
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Formula & Concepts
Square root of 64009 is
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3
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Formula & Concepts
Evaluate -
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4
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Formula & Concepts
The square root of (2722−1282) is
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5
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Formula & Concepts
Find the square root of 3 upto three decimal places
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6
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Formula & Concepts
The digit in the units place in the square root of 15876 is
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7
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Formula & Concepts
If ​=.0026, the square root of 67,60,000 is:
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8
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Formula & Concepts
Three fifth of the square of a certain number is 126.15, What is the number?
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9
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Formula & Concepts
simplifies to:
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10
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Formula & Concepts
Find the cube root of 2744.
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11
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Formula & Concepts
If x=.and y= find value of is
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12
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Formula & Concepts
By what least number 4320 be multiplied to obtain a number which is a perfect cube?
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13
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Formula & Concepts
If \(3a = 4b = 6c  \) and \(a + b + c = 27\sqrt {29} { \text{,}}  \) then\( \sqrt {{a^2} + {b^2} + {c^2}} \)is ?
Solution |
14
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Formula & Concepts
The square root of \({ \text{0}}{ \text{.}}\overline { \text{4}} \) is ?
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15
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Formula & Concepts
\(\sqrt {0.2} = ?\)
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16
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Formula & Concepts
The value of \(\sqrt {0.121} \) is = ?
Solution |
17
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Formula & Concepts
The value of \(\sqrt {\frac{{0.16}}{{0.4}}} \) is = ?
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18
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Formula & Concepts
The value of \(\frac{{1 + \sqrt {0.01} }}{{1 - \sqrt {0.1} }}\) is close to = ?
Solution |
19
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Formula & Concepts
The square root of 535.9225 is = ?
Solution |
20
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Formula & Concepts
If 1537* is a perfect square, then the digit which replace * is = ?
Solution |
21
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Formula & Concepts
If \(\sqrt 5 = 2.236{ \text{,}}\) then the value of \(\frac{1}{{\sqrt 5 }} \) is = ?
Solution |
22
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Formula & Concepts
If \(\sqrt {24} = 4.889,\) the value of \(\sqrt {\frac{8}{3}} \) is = ?
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23
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Formula & Concepts
If \(\sqrt 6 = 2.449{ \text{,}}\) then the value of \(\frac{{3\sqrt 2 }}{{2\sqrt 3 }}\) is = ?
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24
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Formula & Concepts
If \({ \text{ }}2*3 = \sqrt {13} \) and 3 * 4 = 5, then the value of 5 * 12 is ?
Solution |
25
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Formula & Concepts
The least perfect square number divisible by 3, 4, 5, 6 and 8 is = ?
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26
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Formula & Concepts
The least number by which 294 must be multiplied to make it a perfect square, is = ?
Solution |
27
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Formula & Concepts
What is the least number which should be subtracted 0.000326 in order to make it a perfect square = ?
Solution |
28
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Formula & Concepts
What is the least number to be added to 7700 to make it a perfect square ?
Solution |
29
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Formula & Concepts
The smallest number to be added to 680621 to make the sum a perfect square is = ?
Solution |
30
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Formula & Concepts
The greatest four digit perfect square number is = ?
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31
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Formula & Concepts
The least number of 4 digits which is a perfect square is = ?
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32
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Formula & Concepts
Given \(\sqrt 5 = 2.2361, Â \sqrt 3 = 1.7321{ \text{,}} Â then \frac{1}{{\sqrt 5 - \sqrt 3 }}\) is equal to ?
Solution |
33
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Formula & Concepts
\(\frac{1}{{\left( {\sqrt 9 - \sqrt 8 } \right)}} - Â \frac{1}{{\left( {\sqrt 8 - \sqrt 7 } \right)}} + Â \frac{1}{{\left( {\sqrt 7 - \sqrt 6 } \right)}} - Â \frac{1}{{\left( {\sqrt 6 - \sqrt 5 } \right)}} + Â \frac{1}{{\left( {\sqrt 5 - \sqrt 4 } \right)}}\) is equal to ?
Solution |
34
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Formula & Concepts
Determined the value of \(\frac{1}{{\sqrt 1 + \sqrt 2 }}{ \text{ + }} Â \frac{1}{{\sqrt 2 + \sqrt 3 }} + Â \frac{1}{{\sqrt 3 + \sqrt 4 }} + Â ...... + Â \frac{1}{{\sqrt {120} + \sqrt {121} }}{ \text{ = ?}}\)
Solution |
35
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Formula & Concepts
If \(\sqrt 2 = 1.414{ \text{,}} Â \) the square root of \(\frac{{\sqrt 2 - 1}}{{\sqrt 2 + 1}}\) is nearest to = ?
Solution |
36
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Formula & Concepts
Given that \(\sqrt 3 = 1.732{ \text{,}} Â \) the value of \(\frac{{3 + \sqrt 6 }}{{5\sqrt 3 - 2\sqrt {12} - \sqrt {32} + \sqrt {50} }}\) is ?
Solution |
37
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Formula & Concepts
\(\left( {\frac{{2 + \sqrt 3 }}{{2 - \sqrt 3 }} + \frac{{2 - \sqrt 3 }}{{2 + \sqrt 3 }} + \frac{{\sqrt 3 - 1}}{{\sqrt 3 + 1}}} \right) \) simplifies to = ?
Solution |
38
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Formula & Concepts
If \(x = 3 + \sqrt 8 , Â \) then \({x^2} + \frac{1}{{{x^2}}}\) is equal to = ?
Solution |
39
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Formula & Concepts
If \(a = \frac{{\sqrt 3 + \sqrt 2 }}{{\sqrt 3 - \sqrt 2 }}, Â b = \frac{{\sqrt 3 - \sqrt 2 }}{{\sqrt 3 + \sqrt 2 }}\) then the value of \({a^2} + {b^2}\) would be = ?
Solution |
40
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Formula & Concepts
If \(a = \frac{{\sqrt 5 + 1}}{{\sqrt 5 - 1}} Â \) and \(b = \frac{{\sqrt 5 - 1}}{{\sqrt 5 + 1}},\) the value of \(\left( {\frac{{{a^2} + ab + {b^2}}}{{{a^2} - ab + {b^2}}}} \right)\) is ?
Solution |
41
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Formula & Concepts
One-fourth of a herd of camels was seen in the forest. Twice the square root of the herd had gone to mountains and the remaining 15 camels were seen on the bank of a river. Find the total number of camels ?
Solution |
42
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Formula & Concepts
The number of trees in each row of a garden is equal to the total number of rows in the garden. After 111 trees have been uprooted in a storm, there remain 10914 trees in the garden. The number of rows of trees in the garden is = ?
Solution |
43
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Formula & Concepts
1250 oranges were distributed among a group of girls of a class. Each girl got twice as many oranges as the number of girls in that group. The number of girls in the group was = ?
Solution |
44
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Formula & Concepts
A mobile company offered to pay the Indian Cricket Team as much money per run scored by the side as the total number it gets in a one-dayer against Australia. Which one of the following cannot be the total amount to be spent by the company in this deal ?
Solution |
45
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Formula & Concepts
\(1728 \div \root 3 \of {262144} \times ? - 288\) = 4491
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46
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Formula & Concepts
\(99 \times 21 - \root 3 \of ? = 1968\)
Solution |
47
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Formula & Concepts
\( \root 3 \of {\sqrt {0.000064} } = ?\)
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48
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Formula & Concepts
Value of \(\sqrt {0.01} \times \root 3 \of {0.008} - 0.02 \) is = ?
Solution |
49
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Formula & Concepts
The value of \({ \text{ }} \root 3 \of {\frac{{0.2 \times 0.2 \times 0.2 + 0.04 \times 0.04 \times 0.04}}{{0.4 \times 0.4 \times 0.4 + 0.08 \times 0.08 \times 0.08}}} \) is ?
Solution |
50
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Formula & Concepts
By what least number must 21600 be multiplied so as to make it perfect cube ?
Solution |
51
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Formula & Concepts
What is the smallest number by which 3600 be divided to make it a perfect cube ?
Solution |
52
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Formula & Concepts
Which smallest number must be added to 710 so that the sum is a perfect cube ?
Solution |
53
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Formula & Concepts
Solved \( \root 4 \of {{{\left( {625} \right)}^3}} = ?\)
Solution |
54
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Formula & Concepts
If \(\sqrt y = 4x{ \text{}} Â \) then \(\frac{{{x^2}}}{y}\) is = ?
Solution |
55
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Formula & Concepts
\(9{x^2} + 25 - 30x\) can be expressed as the square of = ?
Solution |
56
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Formula & Concepts
If \(\sqrt {33} = 5.745{ \text{}}\) then which of the following values is approximately \(\sqrt {\frac{3}{{11}}} { \text{ ?}}\)
Solution |
57
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Formula & Concepts
If \(a = \frac{{\sqrt 3 }}{2}{ \text{}}\) then \(\sqrt {1 + a} + \sqrt {1 - a} = ?\)
Solution |
58
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Formula & Concepts
What is \(\frac{{5 + \sqrt {10} }}{{5\sqrt 5 - 2\sqrt {20} - \sqrt {32} + \sqrt {50} }}\) equal to ?
Solution |
59
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Formula & Concepts
The square root of \(\frac{{{{\left( {0.75} \right)}^3}}}{{1 - 0.75}} { \text{ + }}\left[ {0.75 + {{\left( {0.75} \right)}^2} + 1} \right]\) is = ?
Solution |
60
Discuss
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Formula & Concepts
The cube root of .000216 is:
Solution |
61
Discuss
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Formula & Concepts
What should come in place of both x in the equation \(\frac{x}{{\sqrt {128} }} = \frac{{\sqrt {162} }}{x}\)
Solution |
62
Discuss
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Formula & Concepts
The least perfect square, which is divisible by each of 21, 36 and 66 is:
Solution |
63
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Formula & Concepts
\(\sqrt {1.5625} = ?\)
Solution |
64
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Formula & Concepts
If \(3\sqrt 5 + \sqrt {125} \) = 17.88, then what will be the value of \(\sqrt {80} + 6\sqrt 5 ?\)
Solution |
65
Discuss
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Formula & Concepts
If a = 0.1039, then the value of \(\sqrt {4{a^2} - 4a + 1} + 3a\) is:
Solution |
66
Discuss
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Formula & Concepts
If \(x = \frac{{\sqrt 3 + 1}}{{\sqrt 3 - 1}} Â \) \(y = \frac{{\sqrt 3 - 1}}{{\sqrt 3 + 1}}\)and then the value of \(\left( {{x^2} + {y^2}} \right)\) is?
Solution |
67
Discuss
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Formula & Concepts
A group of students decided to collect as many paise from each member of group as is the number of members. If the total collection amounts to Rs. 59.29, the number of the member is the group is:
Solution |
68
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Formula & Concepts
The square root of \(\left( {7 + 3\sqrt 5 } \right) Â \left( {7 - 3\sqrt 5 } \right)\) is
Solution |
69
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Formula & Concepts
If \(\sqrt 5 = 2.236, \) then the value of \(\frac{{\sqrt 5 }}{2} - \frac{{10}}{{\sqrt 5 }} + \sqrt {125} \) is equal to :
Solution |
70
Discuss
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Formula & Concepts
\(\left( {\frac{{\sqrt {625} }}{{11}} \times \frac{{14}}{{\sqrt {25} }} \times \frac{{11}}{{\sqrt {196} }}} \right){\kern 1pt} \) is equal to :
Solution |
71
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Formula & Concepts
\(\sqrt {0.0169 \times ?} = 1.3\)
Solution |
72
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Formula & Concepts
\({\left( {\sqrt 3 - \frac{1}{{\sqrt 3 }}} \right)^2}\) simplifies to:
Solution |
73
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Formula & Concepts
How many two-digit numbers satisfy this property. : The last digit (unit's digit) of the square of the two-digit number is 8 ?
Solution |
74
Discuss
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Formula & Concepts
The square root of 64009 is:
Solution |
75
Discuss
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Formula & Concepts
The square root of 41209 is equal to = ?
Solution |
76
Discuss
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Formula & Concepts
The square root of 123454321 is = ?
Solution |
77
Discuss
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Formula & Concepts
The number of digits in the square root of 625685746009 is = ?
Solution |
78
Discuss
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Formula & Concepts
\(\sqrt {\sqrt {17956} + \sqrt {24025} } = ?\)
Solution |
79
Discuss
|
Formula & Concepts
One-fourth of the sum of prime numbers, greater than 4 but less than 16, is the square of = ?
Solution |
80
Discuss
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Formula & Concepts
\(\sqrt {176 + \sqrt {2401} } \) is equal to = ?
Solution |
81
Discuss
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Formula & Concepts
\({\left( {15} \right)^2} + {\left( {18} \right)^2} - 20 = \sqrt ? \)
Solution |
82
Discuss
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Formula & Concepts
\(\sqrt ? \times \sqrt {484} = 1034\)
Solution |
83
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Formula & Concepts
\(\sqrt {11881} \times \sqrt ? = 10137\)
Solution |
84
Discuss
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Formula & Concepts
In the equation \(\frac{{4050}}{{\sqrt x }} = 450{ \text{}}\) the value of x is = ?
Solution |
85
Discuss
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Formula & Concepts
\(\sqrt {\frac{{16}}{{25}}} \times \sqrt {\frac{?}{{25}}} \times \frac{{16}}{{25}} = \frac{{256}}{{625}}\)
Solution |
86
Discuss
|
Formula & Concepts
The square root of \(\left( {{{272}^2} - {{128}^2}} \right) \) is = ?
Solution |
87
Discuss
|
Formula & Concepts
If y = 5, then what is the value of \(10y\sqrt {{y^3} - {y^2}} \) = ?
Solution |
88
Discuss
|
Formula & Concepts
\(\sqrt {\frac{{25}}{{81}} - \frac{1}{9}} = ?\)
Solution |
89
Discuss
|
Formula & Concepts
\({\left[ {{{\left( {\sqrt {81} } \right)}^2}} \right]^2} = {\left( ? \right)^2}\)
Solution |
90
Discuss
|
Formula & Concepts
The digit in the unit's place in the square root of 15876 is = ?
Solution |
91
Discuss
|
Formula & Concepts
Which of the following is closest to \(\sqrt 3 = ?\)
Solution |
92
Discuss
|
Formula & Concepts
What percentage of the numbers from 1 to 50 have squares that end in the digit 1 ?
Solution |
93
Discuss
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Formula & Concepts
While solving a mathematical problem, Samidha squared a number and then subtracted 25 from it rather than the required i.e., first subtracting 25 from the number and then squaring it. But she got the right answer. What was the given number ?
Solution |
94
Discuss
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Formula & Concepts
How many perfect squares lie between 120 and 300 ?
Solution |
95
Discuss
|
Formula & Concepts
The number of perfect square numbers between 50 and 1000 is = ?
Solution |
96
Discuss
|
Formula & Concepts
A man born in the first half of the nineteenth century was x years old in the year x2. He was born in ?
Solution |
97
Discuss
|
Formula & Concepts
R is a positive number. It is multiplied by 8 and then squared. The square is now divided by 4 and the square root is taken. The result of the square root is Q. What is the value of Q ?
Solution |
98
Discuss
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Formula & Concepts
The smallest natural number which is a perfect square and which ends in 3 identical digits lies between ?
Solution |
99
Discuss
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Formula & Concepts
If the product of four consecutive natural numbers increased by a natural number p, is a perfect square, then the value of p is = ?
Solution |
100
Discuss
|
Formula & Concepts
The value of \(\sqrt {0.000441} \) is = ?
Solution |
101
Discuss
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Formula & Concepts
\({1.5^2} \times \sqrt {0.0225} = ?\)
Solution |
102
Discuss
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Formula & Concepts
The value of \(\sqrt {0.01} { \text{ + }} \sqrt {0.81} { \text{ + }} \sqrt {1.21} { \text{ + }} \sqrt {0.0009} \) is = ?
Solution |
103
Discuss
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Formula & Concepts
Given that \(\sqrt {13} = 3.605\) and \(\sqrt {130} = 11.40\) . find the value of \(\sqrt {1.30} \) + \(\sqrt {1300}\) + \(\sqrt {0.0130} \) = ?
Solution |
104
Discuss
|
Formula & Concepts
If = the value of x is = ?
Solution |
105
Discuss
|
Formula & Concepts
For what value of * the statement = 1 is true?
Solution |
106
Discuss
|
Formula & Concepts
Which number should replace both the question marks in the following equation ?/1776=111/?
Solution |
107
Discuss
|
Formula & Concepts
Which number can replace both the question marks in the equation =?
Solution |
108
Discuss
|
Formula & Concepts
What should come in place of both the question marks in the equation x/√128 = √162/x ?
Solution |
109
Discuss
|
Formula & Concepts
If √x+x/y = x√x/y where x and y are positive real numbers, then y is equal to ?
Solution |
110
Discuss
|
Formula & Concepts
Given \(\sqrt 2 = 1.414.\) Then the value of \(\sqrt 8\) + \(2\sqrt {32} \) - \(3\sqrt {128}\) + \(4\sqrt {50}\) is = ?
Solution |
111
Discuss
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Formula & Concepts
The approximate value of \(\frac{{3\sqrt {12} }}{{2\sqrt {28} }} \div \frac{{2\sqrt {21} }}{{\sqrt {98} }}\) is ?
Solution |
112
Discuss
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Formula & Concepts
\(\sqrt {110.25} \times \sqrt {0.01} \div \) \(\sqrt {0.0025}\) - \(\sqrt {420.25}\) equals ?
Solution |
113
Discuss
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Formula & Concepts
is equal to ?
Solution |
114
Discuss
|
Formula & Concepts
The value of is ?
Solution |
# | Quiz |