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Arithmetic Ability
Square Root And Cube Root
Quiz 3
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Q.1
Three-fifth of the square of a certain number is 126.15. What is the numbers ?
14.5
75.69
145
210.25
Q.2
If $$\frac{{52}}{x} = \sqrt {\frac{{169}}{{289}}} {\text{,}}$$ the value of x is = ?
52
58
62
68
Q.3
If $$\sqrt {x + \frac{x}{y}} = x\sqrt {\frac{x}{y}} {\text{,}}$$ where x and y are positive real numbers, then y is equal to ?
$${\text{x}} + 1$$
$${\text{x}} - 1$$
$${{\text{x}}^2} + 1$$
$${{\text{x}}^2} - 1$$
Q.4
$${\left( {\sqrt 3 - \frac{1}{{\sqrt 3 }}} \right)^2}$$ simplifies to ?
$$\frac{3}{4}$$
$$\frac{4}{{\sqrt 3 }}$$
$$\frac{4}{3}$$
None of these
Q.5
$$\sqrt {110.25} \times \sqrt {0.01} \, \div $$ $$\sqrt {0.0025} $$ $$ - $$ $$\sqrt {420.25} $$ equals ?
0.50
0.64
0.73
0.75
Q.6
If $$\sqrt {1 + \frac{x}{{169}}} {\text{ = }}\frac{{14}}{{13}}{\text{,}}$$ then x is equal to ?
1
13
27
None of these
Q.7
The value of $$\sqrt {0.000441} $$ is = ?
0.00021
0.0021
0.021
0.21
Q.8
$${1.5^2} \times \sqrt {0.0225} = ?$$
0.0375
0.3375
3.275
32.75
Q.9
The value of $$\sqrt {0.01} {\text{ + }}$$ $$\sqrt {0.81} {\text{ + }}$$ $$\sqrt {1.21} {\text{ + }}$$ $$\sqrt {0.0009} $$ is = ?
2.03
2.1
2.11
2.13
Q.10
The number of perfect square numbers between 50 and 1000 is = ?
21
22
23
24
Q.11
A man born in the first half of the nineteenth century was x years old in the year x
2
. He was born in ?
1806
1812
1825
1836
Q.12
The digit in the unit's place in the square root of 15876 is = ?
2
4
6
8
Q.13
Which of the following is closest to $$\sqrt 3 = \,?$$
1.69
$$\frac{{173}}{{100}}$$
1.75
$$\frac{9}{5}$$
Q.14
$$\sqrt {\frac{{16}}{{25}}} \times \sqrt {\frac{?}{{25}}} \times \frac{{16}}{{25}} = \frac{{256}}{{625}}$$
5
8
16
None of these
Q.15
For what value of * the statement $$\left( {\frac{*}{{15}}} \right)$$ $$\left( {\frac{*}{{135}}} \right)$$ = 1 is true ?
15
25
35
45
Q.16
Which number should replace both the question marks in the following equation ?
$$\frac{?}{{1776}} = \frac{{111}}{?}$$
343
414
644
543
None of these
Q.17
Which number can replace both the question marks in the equation ?
$$\frac{{4\frac{1}{2}}}{?} = \frac{?}{{32}}$$
1
7
$$7\frac{1}{2}$$
None of these
Q.18
The number $${\text{2}}{{\text{5}}^{64}} \times {64^{25}}$$ is the square of a natural number n. The sum of the digits of n is = ?
7
14
21
28
Q.19
If $$0.13 \div {p^2} = 13{\text{,}}$$ then p equals = ?
0.01
0.1
10
100
Q.20
If $$\sqrt {{3^n}} = 729$$ , then the value of n is ?
6
8
10
12
Q.21
If $$a = 0.1039{\text{,}}$$ then the value of $$\sqrt {4{a^2} - 4a + 1} $$ $$ + $$ $$3a$$ is ?
0.1039
0.2078
1.1039
2.1039
Q.22
$$\sqrt {176 + \sqrt {2401} } $$ is equal to = ?
14
15
18
24
Q.23
$${\left( {15} \right)^2} + {\left( {18} \right)^2} - 20 = \sqrt ? $$
22
23
529
279841
None of these
Q.24
The square root of 41209 is equal to = ?
103
203
303
403
Q.25
The number of digits in the square root of 625685746009 is = ?
4
5
6
7
Q.26
$$\sqrt {1.5625} = ?$$
1.05
1.25
1.45
1.55
Q.27
If
a
= 0.1039, then the value of $$\sqrt {4{a^2} - 4a + 1} + 3a$$ is:
0.1039
0.2078
1.1039
2.1039
Q.28
Given that $$\sqrt {13} = 3.605$$ and $$\sqrt {130} = 11.40{\text{,}}$$ find the value of $$\sqrt {1.30} $$ $$ + $$ $$\sqrt {1300} $$ $$ + $$ $$\sqrt {0.0130} $$ = ?
36.164
36.304
37.164
37.304
Q.29
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 ?
3R
4R
7R
9R
Q.30
The smallest natural number which is a perfect square and which ends in 3 identical digits lies between ?
1000 and 2000
2000 and 3000
3000 and 4000
4000 and 5000
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