TNPSC Quantitative Aptitude - Square Roots and Cube Roots
Exam Duration: 45 Mins Total Questions : 30
\(\left( \frac { \sqrt { 625 } }{ 11 } \times \frac { 14 }{ \sqrt { 25 } } \times \frac { 11 }{ \sqrt { 196 } } \right) \)is equal to:
- (a)
5
- (b)
6
- (c)
8
- (d)
11
\({ 1.5 }^{ 2 }\times \sqrt { 0.0225 } \)=?
- (a)
0.0375
- (b)
0.3375
- (c)
3.275
- (d)
32.75
If \(\sqrt { 18225 } =135\), then the value of \((\sqrt { 182.25 } +\sqrt { 1.8225 } +\sqrt { 0.018225 } +\sqrt { 0.00018225 } )\)is:
- (a)
1.49985
- (b)
14.9985
- (c)
149.985
- (d)
1499.85
Given that \(\sqrt { 13 } =3.605\) and \(\sqrt { 130 } \)=11.40, find the value of \(\sqrt { 1.3 } +\sqrt { 1300 } +\sqrt { 0.013 } \)
- (a)
36.164
- (b)
36.304
- (c)
37.164
- (d)
37.304
If 0.13+\({ p }^{ 2 }\)=13. then p equals:
- (a)
0.01
- (b)
0.1
- (c)
10
- (d)
100
If \(\sqrt { x } \div \sqrt { 441 } =0.02\), then the value of x is:
- (a)
0.1764
- (b)
1.764
- (c)
1.64
- (d)
2.64
\(\sqrt { \frac { .0196 }{ ? } } =0.2\)
- (a)
0.49
- (b)
0.7
- (c)
4.9
- (d)
None of these
If \(\sqrt { (x-1)(y+2) } =7\), x and y being positive whole numbers, then the values of x and y respectively are:
- (a)
8,5
- (b)
15,12
- (c)
22,19
- (d)
None of these
If \(\sqrt { .04\times .4\times a } =.004\times .4\times \sqrt { b } ,\)then \(\frac { a } { b }\)is:
- (a)
\(16\times { 10 }^{ -3 }\)
- (b)
\(16\times { 10 }^{ -4 }\)
- (c)
\(16\times { 10 }^{ -5 }\)
- (d)
None of these
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 \(\sqrt { 2 }\) upto three places of decimal is:
- (a)
1.410
- (b)
1.412
- (c)
1.413
- (d)
1.414
\((2\sqrt { 27 } -\sqrt { 75 } +\sqrt { 12 } )\)is equal to :
- (a)
\(\sqrt { 3 }\)
- (b)
\(2\sqrt { 3 }\)
- (c)
\(3\sqrt { 3 }\)
- (d)
\(4\sqrt { 3 }\)
If \(3\sqrt { 5 } +\sqrt { 125 } =17.88,\)then what will be the value of \(\sqrt { 80 } +6\sqrt { 5 } \)
- (a)
13.41
- (b)
20.46
- (c)
21.66
- (d)
22.35
The square root of \((7+3\sqrt { 5 } )(7-3\sqrt { 5 } )\) is:
- (a)
\(\sqrt { 5 }\)
- (b)
2
- (c)
4
- (d)
\(3\sqrt { 5 }\)
\({ (\sqrt { 3 } -\frac { 1 }{ \sqrt { 3 } } ) }^{ 2 }\) simplifies to :
- (a)
\(\frac { 3 }{ 4 } \)
- (b)
\(\frac { 4 }{ \sqrt { 3 } } \)
- (c)
\(\frac { 4 } { 3 }\)
- (d)
None of these
Which one of the following numbers has rational square root?
- (a)
0.4
- (b)
0.09
- (c)
0.9
- (d)
0.025
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
If \(\sqrt { 5 } =2.236,\)then the value of \(\frac { 1 }{ \sqrt { 5 } } \)is:
- (a)
.367
- (b)
.447
- (c)
.745
- (d)
None of these
If \(\sqrt { 24 } =4.899\), the value of \(\sqrt { \frac { 8 }{ 3 } } \)is:
- (a)
0.544
- (b)
1.333
- (c)
1.633
- (d)
2.666
The least perfect square, which is divisible by each of 21,36 and 66 is:
- (a)
213444
- (b)
214344
- (c)
214434
- (d)
231444
Find the smallest number by which 5808 should be multiplied so that the product becomes a perfect square:
- (a)
2
- (b)
3
- (c)
7
- (d)
11
The least number by which 1470 must be divided to get a number which is a perfect square is:
- (a)
5
- (b)
6
- (c)
15
- (d)
30
The smallest number added to 680621 to make the sum a perfect square is:
- (a)
4
- (b)
5
- (c)
6
- (d)
8
The least number of 4 digits which is a perfect square is:
- (a)
1000
- (b)
1016
- (c)
1024
- (d)
1036
\(\frac { \sqrt { 7 } +\sqrt { 5 } }{ \sqrt { 7 } -\sqrt { 5 } } \)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 x=(7-\(4\sqrt { 3 }\)),then the value of \((x+\frac { 1 }{ x } )\)is:
- (a)
\(3\sqrt { 3}\)
- (b)
\(8\sqrt { 3}\)
- (c)
14
- (d)
\(14+8\sqrt { 3}\)
A general wishes to draw up his 36581 soldiers in the form of a solid square. After arranging them, he found that some of them are left over. How many are left?
- (a)
65
- (b)
81
- (c)
100
- (d)
None of these
The cube root of .000216 is:
- (a)
.6
- (b)
.06
- (c)
.006
- (d)
None of these