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arithmetic-ability
Quiz 5
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Q.1
(0.04)
-1.5
= ?
25
125
250
625
Q.2
$$\frac{1}{{1 + {a^{\left( {n - m} \right)}}}} + \frac{1}{{1 + {a^{\left( {m - n} \right)}}}} = ?$$
0
$$\frac{1}{2}$$
1
a
m
+
n
Q.3
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.4
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.5
If 5
a
= 3125, then the value of 5
(
a
- 3)
is:
25
125
625
1625
Q.6
If 3
(
x
-
y
)
= 27 and 3
(
x
+
y
)
= 243, then
x
is equal to:
0
2
4
6
Q.7
$${\left( {\frac{{{x^b}}}{{{x^c}}}} \right)^{\left( {b + c - a} \right)}}.$$ $${\left( {\frac{{{x^c}}}{{{x^a}}}} \right)^{\left( {c + a - b} \right)}}.$$ $${\left( {\frac{{{x^a}}}{{{x^b}}}} \right)^{\left( {a + b - c} \right)}}$$ = ?
x
abc
1
x
ab + bc + ca
x
a + b + c
Q.8
If $$x = 3 + 2\sqrt 2 ,$$ then the value of $$\left( {\sqrt x - \frac{1}{{\sqrt x }}} \right)$$ is:
1
2
$$2\sqrt 2 $$
$$3\sqrt 3 $$
Q.9
Suppose 4
a
= 5, 5
b
= 6, 6
c
= 7, 7
d
= 8, then the value of abcd is = ?
1
$$\frac{3}{2}$$
2
$$\frac{5}{2}$$
Q.10
If $$x = 5 + 2\sqrt 6 {\text{,}}$$ then $$\sqrt x - \frac{1}{{\sqrt x }}$$ = is?
$${\text{2}}\sqrt 2 $$
$${\text{2}}\sqrt 3 $$
$$\sqrt 3 + \sqrt 2 $$
$$\sqrt 3 - \sqrt 2 $$
Q.11
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 ?
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