MCQGeeks
0 : 0 : 1
CBSE
JEE
NTSE
NEET
English
UK Quiz
Quiz
Driving Test
Practice
Games
Quiz
Arithmetic Ability
Surds And Indices
Quiz 3
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
Q.1
$$\left[ {\frac{{{{\left( {0.73} \right)}^3} + {{\left( {0.27} \right)}^3}}}{{{{\left( {0.73} \right)}^2} + {{\left( {0.27} \right)}^2} - \left( {0.73} \right) \times \left( {0.27} \right)}}} \right]$$ simplifies to ?
1
0.4087
0.73
0.27
Q.2
If $$x = \frac{{\sqrt 5 + \sqrt 3 }}{{\sqrt 5 - \sqrt 3 }}$$ and $$y = \frac{{\sqrt 5 - \sqrt 3 }}{{\sqrt 5 + \sqrt 3 }}$$ then $$\left( {x + y} \right)$$ equals ?
8
16
$${\text{2}}\sqrt {15} $$
$${\text{2}}\left( {\sqrt 5 + \sqrt 3 } \right)$$
Q.3
$${8^{2.4}} \times {2^{3.7}} \div {\left( {16} \right)^{1.3}} = {2^?}$$
4.8
5.7
5.8
7.1
None of this
Q.4
If 3
(x+y)
= 81 and 81
(x-y)
= 3, then the value of x is = ?
42
$$\frac{{15}}{8}$$
$$\frac{{17}}{8}$$
39
Q.5
Simplified from of $${\left[ {{{\left( {\root 5 \of {{x^{ - \frac{3}{5}}}} } \right)}^{ - \frac{5}{3}}}} \right]^{ - 5}} = ?$$
x
5
x
-5
x
$$\frac{1}{x}$$
Q.6
If $$\sqrt 3 $$ = 1.732 is given, then the value of $$\frac{{2 + \sqrt 3 }}{{2 - \sqrt 3 }}$$ is = ?
11.732
13.928
12.928
13.925
Q.7
Evaluate: $$16\sqrt {\frac{3}{4}} - 9\sqrt {\frac{4}{3}} $$ if $$\sqrt {12} $$ = 3.46
3.46
10.38
13.84
24.22
Q.8
$${2^{3.6}} \times {4^{3.6}} \times {4^{3.6}} \times {(32)^{2.3}} = $$ $${\left( {32} \right)^?}$$
5.9
7.7
9.5
13.1
None of these
Q.9
If $${{\text{5}}^{\left( {x + 3} \right)}}{\text{ = 2}}{{\text{5}}^{(3x - 4)}}$$ then the value of x is = ?
$$\frac{5}{{11}}$$
$$\frac{{11}}{5}$$
$$\frac{{11}}{3}$$
$$\frac{{13}}{5}$$
Q.10
$$\frac{{{2^{n + 4}} - 2\left( {{2^n}} \right)}}{{2\left( {{2^{n + 3}}} \right)}}$$ when simplified is = ?
$${{\text{2}}^{n + 1}} - \frac{1}{8}$$
-2
(n+1)
1 - 2
n
$$\frac{7}{8}$$
Q.11
If $$a = \frac{{\sqrt 5 + 1}}{{\sqrt 5 - 1}}$$ and $$b{\text{ = }}\frac{{\sqrt 5 - 1}}{{\sqrt 5 + 1}}$$ then the value of $$\left( {\frac{{{a^2} + ab + {b^2}}}{{{a^2} - ab + {b^2}}}} \right)$$ is = ?
$$\frac{3}{4}$$
$$\frac{4}{3}$$
$$\frac{3}{5}$$
$$\frac{5}{3}$$
Q.12
Given that $$\sqrt 5 $$ = 2.236 and $$\sqrt 3 $$ = 1.732, then the value of $$\frac{1}{{\sqrt 5 + \sqrt 3 }}{\text{ is = ?}}$$
0.564
0.504
0.252
0.202
Q.13
If $${\left( {\frac{3}{5}} \right)^3}{\left( {\frac{3}{5}} \right)^{ - 6}} = {\left( {\frac{3}{5}} \right)^{2x - 1}}$$ then x is equal to ?
-2
-1
1
2
Q.14
If $${\text{5}}\sqrt 5 \times {5^3} \div {5^{ - \frac{3}{2}}}{\text{ = }}{{\text{5}}^{a + 2}}$$ then the value of a is = ?
4
5
6
8
Q.15
Simplified from of $${\left[ {{{\left( {\root 5 \of {{x^{ - \frac{3}{5}}}} } \right)}^{ - \frac{5}{3}}}} \right]^5}$$ is = ?
$$\frac{1}{x}$$
x
x
-5
x
5
Q.16
What will come in place of both the question marks in the following question : $$\frac{{{{\left( ? \right)}^{\frac{2}{3}}}}}{{42}} = \frac{5}{{{{\left( ? \right)}^{\frac{1}{3}}}}}$$
10
$${\text{10}}\sqrt 2 $$
$$\sqrt {20} $$
20
210
Q.17
The value of $${\left( {\frac{{32}}{{243}}} \right)^{ - \frac{4}{5}}}$$ is = ?
$$\frac{4}{9}$$
$$\frac{9}{4}$$
$$\frac{{16}}{{81}}$$
$$\frac{{81}}{{16}}$$
Q.18
$$\frac{{12}}{{3 + \sqrt 5 + 2\sqrt 2 }}$$ is equal to = ?
$${\text{1}} - \sqrt 5 + \sqrt 2 + \sqrt {16} $$
$${\text{1}} + \sqrt 5 + \sqrt 2 - \sqrt {10} $$
$${\text{1}} + \sqrt 5 + \sqrt 2 + \sqrt {10} $$
$${\text{1}} - \sqrt 5 - \sqrt 2 + \sqrt {10} $$
Q.19
The simplified form of $$\frac{2}{{\sqrt 7 + \sqrt 5 }} + $$ $$\frac{7}{{\sqrt {12} - \sqrt 5 }} - $$ $$\frac{5}{{\sqrt {12} - \sqrt 7 }}$$ is = ?
5
2
1
0
Q.20
Find the value of x in the expression : $$\root 4 \of {3x + 1} = 2$$
3
6
4
5
Q.21
The value of $${{\text{5}}^{\frac{1}{4}}} \times {\left( {125} \right)^{0.25}}$$ is = ?
$$\sqrt 5 $$
5
$${\text{5}}\sqrt 5 $$
25
Q.22
The value of $${\text{2}}{{\text{7}}^{ - \frac{2}{3}}}$$ lies between = ?
0 and 1
1 and 2
2 and 3
3 and 4
Q.23
The value of $$\frac{1}{{\sqrt {3.25} + \sqrt {2.25} }}$$ $$ +\, \frac{1}{{\sqrt {4.25} + \sqrt {3.25} }}$$ $$ +\, \frac{1}{{\sqrt {5.25} + \sqrt {4.25} }}$$ $$ +\, \frac{1}{{\sqrt {6.25} + \sqrt {5.25} }}$$   is = ?
1.00
1.25
1.50
2.25
Q.24
$${\left( 6 \right)^4} \div {\left( {36} \right)^3} \times 216 = {6^{\left( {? - 5} \right)}}$$
1
4
6
7
None of these
Q.25
The value of $${\left( {256} \right)^{\frac{5}{4}}}$$ is = ?
512
984
1024
1032
Q.26
$$\sqrt {2 + \sqrt {2 + \sqrt {2 + ......} } } $$ is equal to ?
$$\sqrt 2 $$
$${\text{2}}\sqrt 2 $$
2
3
Q.27
$$\left[ {8 - {{\left( {\frac{{{4^{\frac{9}{4}}}\sqrt {{{2.2}^2}} }}{{2\sqrt {{2^{ - 2}}} }}} \right)}^{^{\frac{1}{2}}}}} \right]$$ is equal to = ?
32
8
1
0
Q.28
$$\frac{{3\sqrt 2 }}{{\sqrt 6 + \sqrt 3 }} - $$ $$\frac{{2\sqrt 6 }}{{\sqrt 3 + 1}} + $$ $$\frac{{2\sqrt 3 }}{{\sqrt 6 + 2}}$$ is equal to = ?
3
2
0
$$\sqrt 3 $$
Q.29
The value of $$\frac{1}{{{{\left( {216} \right)}^{ - \frac{2}{3}}}}}{\text{ + }}$$ $$\frac{1}{{{{\left( {256} \right)}^{ - \frac{3}{4}}}}}{\text{ + }}$$ $$\frac{1}{{{{\left( {32} \right)}^{ - \frac{1}{5}}}}}$$ is = ?
102
105
107
109
Q.30
The value of $$\root 3 \of {{2^4}\sqrt {{2^{ - 5}}\sqrt {{2^6}} } } $$ is = ?
1
2
$${{\text{2}}^{\frac{5}{3}}}$$
2
5
0 h : 0 m : 1 s
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
Report Question
×
What's an issue?
Question is wrong
Answer is wrong
Other Reason
Want to elaborate a bit more? (optional)
Support mcqgeeks.com by disabling your adblocker.
×
Please disable the adBlock and continue.
Thank you.
Reload page