Quantitative Aptitude - Square Roots and Cube Roots
Exam Duration: 60 Mins Total Questions : 30
\({ 1.5 }^{ 2 }\times \sqrt { 0.0225 } \)=?
- (a)
0.0375
- (b)
0.3375
- (c)
3.275
- (d)
32.75
For what value of * the statement \((\frac { * }{ 15 } )(\frac { * }{ 135 } )\)=1 is true?
- (a)
15
- (b)
25
- (c)
35
- (d)
45
If 0.13+\({ p }^{ 2 }\)=13. then p equals:
- (a)
0.01
- (b)
0.1
- (c)
10
- (d)
100
\(28\sqrt { ? } +1426=\frac { 3 }{ 4 } of\quad 2872\)
- (a)
576
- (b)
676
- (c)
1296
- (d)
1444
By how much does \(\sqrt { 12 } + \sqrt { 18 }\)exceed \(\sqrt{ 3 }+ \sqrt { 2 }\)?
- (a)
\(\sqrt { 2 } -4\sqrt { 3 } \)
- (b)
\(\sqrt { 3 } +2\sqrt { 2 } \)
- (c)
\(2(\sqrt { 3 } -\sqrt { 2 }) \)
- (d)
\(3(\sqrt { 3 } -\sqrt { 2 }) \)
\(\frac { \sqrt { 24 } +\sqrt { 216 } }{\sqrt { 96 } } \)=?
- (a)
\(2\sqrt { 6 } \)
- (b)
2
- (c)
\(6\sqrt { 2 } \)
- (d)
\(\frac { 2 }{ \sqrt { 6 } } \)
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)
\(1\frac { 3 } {4 }\)
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
\(\sqrt { 50 } \times \sqrt { 98 } \) is equal to :
- (a)
63.75
- (b)
65.95
- (c)
70
- (d)
70.25
The approximate value of \(\frac { 3\sqrt { 12 } }{ 2\sqrt { 28 } } \div \frac { 2\sqrt { 21 } }{ \sqrt { 98 } } \)is:
- (a)
1.0605
- (b)
1.0727
- (c)
1.6007
- (d)
1.6026
\(\sqrt { \frac { 0.081\times 0.324\times 4.624 }{ 1.5625\times 0.0289\times 72.9\times 64 } } \) 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 value of:\(\sqrt { \frac { { (0.03) }^{ 2 }+{ (0.21) }^{ 2 }+{ (0.065) }^{ 2 } }{ { (0.003) }^{ 2 }+{ (0.021) }^{ 2 }+{ (0.0065) }^{ 2 } } } \)is:
- (a)
0.1
- (b)
10
- (c)
\({10} ^ { 2 }\)
- (d)
\({10 } ^ { 3 }\)
\({ (\sqrt { 2 } +\frac { 1 }{ \sqrt { 2 } } ) }^{ 2 }\) is equal to :
- (a)
\(2\frac { 1 }{ 2 } \)
- (b)
\(3\frac { 1 }{ 2 } \)
- (c)
\(4\frac { 1 }{ 2 } \)
- (d)
\(5\frac { 1 }{ 2 } \)
If a=0.1039, then the value of \(\sqrt { { 4a }^{ 2 }-4a+1+3a } \)is:
- (a)
0.1039
- (b)
0.2078
- (c)
1.1039
- (d)
2.1039
The square root of \(0.\overline { 4 } \)is:
- (a)
\(0.\overline { 6 } \)
- (b)
\(0.\overline { 7 } \)
- (c)
\(0.\overline { 8 } \)
- (d)
\(0.\overline { 9 } \)
The value of \(\sqrt { 0.064 }\)is:
- (a)
0.008
- (b)
0.08
- (c)
0.252
- (d)
0.8
The value of \(\sqrt { \frac { 0.16 }{ 0.4 } } \)is :
- (a)
0.02
- (b)
0.2
- (c)
0.63
- (d)
None of these
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 \(\sqrt { 6 } =2.499,\)then the value of \(\frac { 3\sqrt { 2 } }{ 2\sqrt { 3 } } \)is :
- (a)
0.6122
- (b)
0.8163
- (c)
1.223
- (d)
1.2245
The least perfect square number divisible by 3,4,5,6 and 8 is:
- (a)
900
- (b)
1200
- (c)
2500
- (d)
3600
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
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
\(\frac { 3+\sqrt { 6 } }{ 5\sqrt { 3 } -2\sqrt { 12 } -\sqrt { 32 } +\sqrt { 50 } } =?\)
- (a)
3
- (b)
\(3\sqrt { 2 }\)
- (c)
6
- (d)
None of these
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
A group of students decided to collect as many paise from each member of the group as is the number of members.If the total collection amount to Rs.59.29,the number of members in the group is:
- (a)
57
- (b)
67
- (c)
77
- (d)
87
The largest four-digit number which is a perfect cube,is:
- (a)
8000
- (b)
9261
- (c)
9999
- (d)
None of these