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Quiz 4
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Q.1
The value of $$\sqrt {2\sqrt {2\sqrt {2\sqrt {2\sqrt 2 } } } } = ?$$
$${2^{\frac{{29}}{{31}}}}$$
$${2^{\frac{{31}}{{32}}}}$$
$${2^{\frac{9}{2}}}$$
$${2^{\frac{{11}}{2}}}$$
Q.2
Simplify : (3)
8
× (3)
4
= ?
(27)
3
(27)
5
(729)
2
(729)
3
None of these
Q.3
Simplify : $$\frac{{343 \times 49}}{{216 \times 16 \times 81}} = ?$$
$$\frac{{{7^5}}}{{{6^7}}}$$
$$\frac{{{7^5}}}{{{6^8}}}$$
$$\frac{{{7^6}}}{{{6^7}}}$$
$$\frac{{{7^4}}}{{{6^8}}}$$
None of these
Q.4
$$\frac{{{3^0} + {3^{ - 1}}}}{{{3^{ - 1}} - {3^0}}}$$ is simplified to = ?
-2
-1
1
2
Q.5
The value of $${\text{2}} + \sqrt {0.09} \, - \,\root 3 \of {0.008} \, - \,75\% $$ of 2.80 is = ?
0
0.01
-1
0.001
Q.6
The value of $$\frac{1}{{\sqrt {\left( {12 - \sqrt {140} } \right)} }}$$ $$ -\, \frac{1}{{\sqrt {\left( {8 - \sqrt {60} } \right)} }}$$ $$ -\, \frac{2}{{\sqrt {\left( {10 + \sqrt {84} } \right)} }}$$ = is ?
0
1
2
3
Q.7
(1000)
12
÷ (10)
30
= ?
(1000)
2
10
100
(100)
12
None of these
Q.8
9
3
× 6
2
÷ 3
3
= ?
948
972
984
1012
None of these
Q.9
$$\left({\frac{{2+\sqrt 3}}{{2-\sqrt3}}+ \frac{{2 - \sqrt 3}}{{2 + \sqrt 3}} + \frac{{\sqrt 3 - 1}}{{\sqrt 3 + 1}}} \right)$$ Simplifies to :
2 - $$\sqrt 3 $$
2 + $$\sqrt 3 $$
16 - $$\sqrt 3 $$
40 - $$\sqrt 3 $$
Q.10
Simplify : $$\left( {\frac{{\frac{3}{{2 + \sqrt 3 }} - \frac{2}{{2 - \sqrt 3 }}}}{{2 - 5\sqrt 3 }}} \right) = ?$$
$$\frac{1}{2} - 5\sqrt 3 $$
2 - $$5\sqrt 3 $$
1
0
Q.11
(256)
0.16
× (256)
0.09
= ?
4
16
64
256.25
None of these
Q.12
$${\left( {48} \right)^{ - \frac{2}{7}}} \times {\left( {16} \right)^{ - \frac{5}{7}}} \times {\left( 3 \right)^{ - \frac{5}{7}}} = ?$$
$$\frac{1}{3}$$
$$\frac{1}{{48}}$$
1
48
Q.13
The value of $${\left( {0.03125} \right)^{ - \frac{2}{5}}}$$ is = ?
4
9
12
31.25
Q.14
Simplify : $$\frac{1}{{\sqrt 3 + \sqrt 4 }} \,+ $$ $$\frac{1}{{\sqrt 4 + \sqrt 5 }} \,+ $$ $$\frac{1}{{\sqrt 5 + \sqrt 6 }} \,+ $$ $$\frac{1}{{\sqrt 6 + \sqrt 7 }} \,+ $$ $$\frac{1}{{\sqrt 7 + \sqrt 8 }}\, + $$ $$\frac{1}{{\sqrt 8 + \sqrt 9 }} = ?$$
$$\sqrt 3 $$
$$3\sqrt 3 $$
$$3 - \sqrt 3 $$
$$5 - \sqrt 3 $$
Q.15
Simplify : $$\frac{{16 \times 32}}{{9 \times 27 \times 81}} = ?$$
$${\left( {\frac{2}{3}} \right)^9}$$
$${\left( {\frac{2}{3}} \right)^{11}}$$
$${\left( {\frac{2}{3}} \right)^{12}}$$
$${\left( {\frac{2}{3}} \right)^{13}}$$
None of these
Q.16
Given $$\sqrt 2 $$ = 1.414, the value of $$\sqrt 8 $$ $$\, + $$ $${\text{2}}\sqrt {32} $$ $$\, - $$ $$3\sqrt {128} $$ $$\,\, + $$ $${\text{4}}\sqrt {50} $$ is = ?
8.484
8.526
8.426
8.876
Q.17
The value of $${\left( {3 + 2\sqrt 2 } \right)^{ - 3}}$$ $$ + {\left( {3 - 2\sqrt 2 } \right)^{ - 3}} = ?$$
189
180
108
198
Q.18
Simplify : $$\frac{{{{1.5}^3} + {{4.7}^3} + {{3.8}^3} - 3 \times 1.5 \times 4.7 \times 3.8}}{{{{1.5}^2} + {{4.7}^2} + {{3.8}^2} - 1.5 \times 4.7 - 4.7 \times 3.8 - 3.8 \times 1.5}}$$ = ?
0
1
10
30
Q.19
Simplify : $$\frac{{0.41 \times 0.41 \times 0.41 + 0.69 \times 0.69 \times 0.69}}{{0.41 \times 0.41 - 0.41 \times 0.69 + 0.69 \times 0.69}} = ?$$
0.28
1.41
1.1
2.8
Q.20
The value of $$\sqrt {\frac{{\left( {\sqrt {12} - \sqrt 8 } \right)\left( {\sqrt 3 + \sqrt 2 } \right)}}{{5 + \sqrt {24} }}} $$ is = ?
$$\sqrt 6 - \sqrt 2 $$
$$\sqrt 6 + \sqrt 2 $$
$$\sqrt 6 - 2$$
$${\text{2}} - \sqrt 6 $$
Q.21
(19)
12
× (19)
8
÷ (19)
4
= (19)
?
6
8
12
24
None of these
Q.22
(64)
4
÷ (8)
5
= ?
(8)
8
(8)
2
(8)
12
(8)
4
None of these
Q.23
($$\sqrt 8$$ - $$\sqrt 4 $$ - $$\sqrt 2 $$) Equals to = ?
2 - $$\sqrt 2 $$
$$\sqrt 2 $$ - 2
2
-2
Q.24
$${\left( {64} \right)^{ - \frac{2}{3}}} \times {\left( {\frac{1}{4}} \right)^{ - 2}}$$ is equal to ?
1
2
$$\frac{1}{2}$$
$$\frac{1}{{16}}$$
Q.25
The value of $$\left( {\frac{{{9^2} \times {{18}^4}}}{{{3^{16}}}}} \right)$$ is = ?
$$\frac{3}{2}$$
$$\frac{4}{9}$$
$$\frac{{16}}{{81}}$$
$$\frac{{32}}{{243}}$$
Q.26
$$\frac{1}{{1 + {x^{\left( {b - a} \right)}} + {x^{\left( {c - a} \right)}}}}$$ $$ + \frac{1}{{1 + {x^{\left( {a - b} \right)}} + {x^{\left( {c - b} \right)}}}}$$ $$ + \frac{1}{{1 + {x^{\left( {b - c} \right)}} + {x^{\left( {a - c} \right)}}}} = ?$$
0
1
x
a - b - c
None of these
Q.27
(25)
7.5
× (5)
2.5
÷ (125)
1.5
= 5
?
8.5
13
16
17.5
None of these
Q.28
$${9^3} \times {\left( {81} \right)^2} \div {\left( {27} \right)^3} = {\left( 3 \right)^?}$$
3
4
5
6
None of these
Q.29
$$\frac{{{{\left( {243} \right)}^{n/5}} \times {3^{2n + 1}}}}{{{9^n} \times {3^{n - 1}}}} = ?$$
1
2
9
3
n
Q.30
(17)
3.5
× (17)
?
= 17
8
2.29
2.75
4.25
4.5
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