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Quiz 5
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Q.1
$${\text{If}}\,{\kern 1pt} {\left( {\frac{a}{b}} \right)^{x - 1}} = {\left( {\frac{b}{a}} \right)^{x - 3}},$$ then the value of x is
$$\frac{1}{2}$$
1
2
$$\frac{7}{2}$$
Q.2
If 3
10
× 27
2
= 9
2
× 3
n
then the value of n is = ?
10
12
15
30
Q.3
$$\left[ {{4^3} \times {5^4}} \right] \div {4^5} = ?$$
29.0825
30.0925
35.6015
39.0625
None of these
Q.4
(0.04)
-1.5
= ?
25
125
250
625
Q.5
$$\frac{1}{{1 + {a^{\left( {n - m} \right)}}}} + \frac{1}{{1 + {a^{\left( {m - n} \right)}}}} = ?$$
0
$$\frac{1}{2}$$
1
a
m
+
n
Q.6
If
m
and
n
are whole numbers such that
m
n
= 121, the value of (
m
- 1)
n
+ 1
is:
1
10
121
1000
Q.7
Given that 10
0.48
=
x
, 10
0.70
=
y
and
x
z
=
y
2
, then the value of
z
is close to:
1.45
1.88
2.9
3.7
Q.8
If 5
a
= 3125, then the value of 5
(
a
- 3)
is:
25
125
625
1625
Q.9
If 3
(
x
-
y
)
= 27 and 3
(
x
+
y
)
= 243, then
x
is equal to:
0
2
4
6
Q.10
$${\left( {\frac{{{x^b}}}{{{x^c}}}} \right)^{\left( {b + c - a} \right)}}.$$ $${\left( {\frac{{{x^c}}}{{{x^a}}}} \right)^{\left( {c + a - b} \right)}}.$$ $${\left( {\frac{{{x^a}}}{{{x^b}}}} \right)^{\left( {a + b - c} \right)}}$$ = ?
x
abc
1
x
ab + bc + ca
x
a + b + c
Q.11
If $$x = 3 + 2\sqrt 2 ,$$ then the value of $$\left( {\sqrt x - \frac{1}{{\sqrt x }}} \right)$$ is:
1
2
$$2\sqrt 2 $$
$$3\sqrt 3 $$
0 h : 0 m : 1 s
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