Quantitative Aptitude - Square Roots and Cube Roots
Exam Duration: 45 Mins Total Questions : 30
\(\sqrt { 53824 } =?\)
- (a)
202
- (b)
232
- (c)
242
- (d)
332
The square root of 64009 is:
- (a)
253
- (b)
347
- (c)
363
- (d)
803
\(\left( \sqrt { \frac { 225 }{ 729 } } -\sqrt { \frac { 25 }{ 144 } } \right) \div \sqrt { \frac { 16 }{ 81 } } =?\)
- (a)
\(\frac { 1 } { 48 }\)
- (b)
\(\frac {5 } { 48 }\)
- (c)
\(\frac {5 } { 16 }\)
- (d)
None of these
The square root of (\({ 272 }^{ 2 }-{ 128 }^{ 2 })\)is:
- (a)
144
- (b)
200
- (c)
240
- (d)
256
\(\sqrt { 110\frac { 1 }{ 4 } } =?\)
- (a)
10.25
- (b)
10.5
- (c)
11.5
- (d)
19.5
\(\sqrt { \frac { 25 }{ 81 } -\frac { 1 }{ 9 } } =?\)
- (a)
\(\frac { 2 } { 3 }\)
- (b)
\(\frac { 4 } {9 }\)
- (c)
\(\frac { 16 } { 81 }\)
- (d)
\(\frac { 25 } { 81 }\)
The value of \(\sqrt { 0.000441 } \) is:
- (a)
0.00021
- (b)
0.0021
- (c)
0.021
- (d)
0.21
The value of \(\sqrt { 0.01 } +\sqrt { 0.81 } +\sqrt { 1.21 } +\sqrt { 0.0009 } \)is:
- (a)
2.03
- (b)
2.1
- (c)
2.11
- (d)
2.13
What number should be divided by \(\sqrt { 0.25 } \) to give the result as 25?
- (a)
12.5
- (b)
25
- (c)
50
- (d)
125
If \(\sqrt { { 3 }^{ n } } \)=729, then the value of n is:
- (a)
6
- (b)
8
- (c)
10
- (d)
12
Three-fifth of the square of a certain number is 126.15. what is the number?
- (a)
14.5
- (b)
75.69
- (c)
145
- (d)
210.25
If \(\sqrt { 1+\frac { x }{ 169 } } =\frac { 14 }{ 13 } \),then x is equal to :
- (a)
1
- (b)
13
- (c)
27
- (d)
None of these
The value of \(\frac { \sqrt { 80 } -\sqrt { 112 } }{ \sqrt { 45 } -\sqrt { 63 } } \)is:
- (a)
\(\frac { 3 } { 4 }\)
- (b)
\(1\frac { 1 } { 3 }\)
- (c)
\(1\frac { 7 } {9 }\)
- (d)
\(1\frac { 3 } {4 }\)
\(\sqrt { \frac { .081\times .484 }{ .0064\times 6.25 } } \)is equal to :
- (a)
0.9
- (b)
0.99
- (c)
9
- (d)
99
\(\sqrt { \frac { 0.081\times 0.324\times 4.624 }{ 1.5625\times 0.0289\times 72.9\times 64 } } \) is equal to :
- (a)
0.024
- (b)
0.24
- (c)
2.4
- (d)
24
\(\sqrt { \frac { 9.5\times .085 }{ .0017\times .19 } } \) equals
- (a)
.05
- (b)
5
- (c)
50
- (d)
500
The square root of \((7+3\sqrt { 5 } )(7-3\sqrt { 5 } )\) is:
- (a)
\(\sqrt { 5 }\)
- (b)
2
- (c)
4
- (d)
\(3\sqrt { 5 }\)
The value of \(\sqrt {0.4}\)is:
- (a)
0.02
- (b)
0.2
- (c)
0.51
- (d)
0.63
The value of \(\sqrt { 0.064 }\)is:
- (a)
0.008
- (b)
0.08
- (c)
0.252
- (d)
0.8
The value of \(\frac { 1+\sqrt { 0.01 } }{ 1-\sqrt { 0.1 } } \) is close to :
- (a)
0.6
- (b)
1.1
- (c)
1.6
- (d)
1.7
The smallest number added to 680621 to make the sum a perfect square is:
- (a)
4
- (b)
5
- (c)
6
- (d)
8
\((2+\sqrt { 2 } +\frac { 1 }{ 2+\sqrt { 2 } } +\frac { 1 }{ \sqrt { 2 } -2 } )\)simplifies to:
- (a)
2-\(\sqrt { 2 }\)
- (b)
2
- (c)
\(2+\sqrt { 2 }\)
- (d)
\(2\sqrt { 2}\)
If \(\sqrt { 2 }=1.4142\) the value of \(\frac { 7 }{ (3+\sqrt { 2 } ) } \)is :
- (a)
1.5858
- (b)
3.4852
- (c)
3.5858
- (d)
4.4142
\(\frac { \sqrt { 7 } +\sqrt { 5 } }{ \sqrt { 7 } -\sqrt { 5 } } \)is equal to :
- (a)
1
- (b)
2
- (c)
6-\(\sqrt { 35 }\)
- (d)
\(6+\sqrt { 35 }\)
If \(\frac { 5+2\sqrt { 3 } }{ 7+4\sqrt { 3 } } \)=\(a+b\sqrt { 3 }\), then
- (a)
a=-11, b=-6
- (b)
a=-11, b=6
- (c)
a=11, b=-6
- (d)
a=6, b=11
If \(\sqrt { 2 }=1.414\), the square root of \(\frac { \sqrt { 2 } -1 }{ \sqrt { 2 } +1 } \)is nearest to :
- (a)
0.172
- (b)
0.414
- (c)
0.586
- (d)
1.414
If x=\(\frac { \sqrt { 3 } +1 }{ \sqrt { 3 } -1 } \) and y= \(\frac { \sqrt { 3 } -1 }{ \sqrt { 3 } +1 } \), then the value of \(({ x }^{ 2 }+{ y }^{ 2 })\)is:
- (a)
10
- (b)
13
- (c)
14
- (d)
15
If a=\(\frac { \sqrt { 5 } +1 }{ \sqrt { 5 } -1 } \), 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:
- (a)
\(\frac { 3 } { 4 }\)
- (b)
\(\frac { 4 } { 3 }\)
- (c)
\(\frac { 3 } { 5 }\)
- (d)
\(\frac { 5 } { 3 }\)
A man plants 15376 apple trees in his garden and arrange them so that there are as many rows as there are apples in each row. the number of rows is;
- (a)
124
- (b)
126
- (c)
134
- (d)
144
By what least number 675 be multiplied to obtain a number which is a perfect cube?
- (a)
5
- (b)
6
- (c)
7
- (d)
8