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Quiz 1
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Q.1
If $$\frac{{3a + 5b}}{{3a - 5b}} = 5,$$ then a : b is equal to?
2 : 1
2 : 3
1 : 3
5 : 2
Q.2
If $$x = p + \frac{1}{p}$$ and $$y = p - \frac{1}{p}$$ then the value of x
4
- 2x
2
y
2
+ y
4
= ?
24
4
16
8
Q.3
If a + b + c = 0, then the value of (a + b - c)
2
+ (b + c - a)
2
+ (c + a - b)
2
is?
0
8abc
4(a
2
+ b
2
+ c
2
)
4(ab + bc + ca)
Q.4
If $$\sqrt {0.03 \times 0.3a} $$ = $${\text{0}}{\text{.3}} \times {\text{0}}{\text{.3}} \times \sqrt b {\text{,}}$$ value of $$\frac{a}{b}\,{\text{is?}}$$
0.009
0.03
0.9
0.08
Q.5
If x * y = (x + 3)
2
(y - 1), then the value of 5 * 4 is?
192
182
180
172
Q.6
If x = 2015, y = 2014, z = 2013, then the value of x
2
+ y
2
+ z
2
- xy - yz - zx is?
3
4
6
2
Q.7
If $$3{a^2} = {b^2} \ne 0{\text{,}}$$ then the value of $$\frac{{{{\left( {a + b} \right)}^3} - {{\left( {a - b} \right)}^3}}}{{{{\left( {a + b} \right)}^2} + {{\left( {a - b} \right)}^2}}}$$ is?
$$\frac{{3b}}{2}$$
b
$$\frac{b}{2}$$
$$\frac{{2b}}{3}$$
Q.8
The factors of (a
2
+ 4b
2
+ 4b - 4ab - 2a - 8) are?
(a - 2b - 4)(a - 2b + 2)
(a - b - 2)(a + 2b + 2)
(a + 2b - 4)(a + 2b + 2)
(a + 2b - 4)(a - 2b + 2)
Q.9
The value of $$\frac{1}{{{a^2} + ax + {x^2}}}$$ $$ - $$ $$\frac{1}{{{a^2} - ax + {x^2}}}$$ $$ + $$ $$\frac{1}{{{a^4} + {a^2}{x^2} + {x^4}}}$$ is?
2
1
-1
0
Q.10
$${\text{If }}\sqrt {1 + \frac{x}{{961}}} = \frac{{32}}{{31}}{\text{,}}$$ then the value of x is?
63
61
65
64
Q.11
If $$\sqrt {0.04 \times 0.4 \times a} $$ = 0.004 × 0.4 × $$\sqrt b ,$$ then the value of $$\frac{a}{b}\,{\text{is?}}$$
$${\text{16}} \times {\text{1}}{{\text{0}}^{ - 3}}$$
$${\text{16}} \times {\text{1}}{{\text{0}}^{ - 4}}$$
$${\text{16}} \times {\text{1}}{{\text{0}}^{ - 5}}$$
$${\text{16}} \times {\text{1}}{{\text{0}}^{ - 6}}$$
Q.12
If x : y = 7 : 3 then the value of $$\frac{{xy + {y^2}}}{{{x^2} - {y^2}}}{\text{ is?}}$$
$$\frac{3}{4}$$
$$\frac{4}{3}$$
$$\frac{3}{7}$$
$$\frac{7}{3}$$
Q.13
If [p] means the greatest positive integer less than or equal to p, then $$\left[ { - \frac{1}{4}} \right] + \left[ {4 - \frac{1}{4}} \right] + \left[ 3 \right]$$ is equal to?
4
5
6
7
Q.14
The value of $$\frac{{4{x^3} - x}}{{\left( {2x + 1} \right)\left( {6x - 3} \right)}}$$ when x = 9999 is?
1111
2222
3333
6666
Q.15
If x = 11, then the value of x
5
- 12x
4
+ 12x
3
- 12x
2
+ 12x - 1 is?
5
10
15
20
Q.16
If x = 997, y = 998 and z = 999 then the value of x
2
+ y
2
+ z
2
- xy - yz - zx is?
0
1
-1
3
Q.17
If $$\frac{a}{b} = \frac{c}{d} = \frac{e}{f} = 3,$$ then $$\frac{{2{a^2} + 3{c^2} + 4{e^2}}}{{2{b^2} + 3{d^2} + 4{f^2}}}$$ = ?
2
3
4
9
Q.18
The value of $$\frac{{{{\left( {243} \right)}^{\frac{n}{5}}}{{.3}^{2n + 1}}}}{{{9^n}{{.3}^{n - 1}}}}{\text{ is?}}$$
1
9
3
3
n
Q.19
If x = 0.5 and y = 0.2, then the value of $$\sqrt {0.6} \times {\left( {3y} \right)^x}$$ is equal to?
1.0
0.5
0.6
1.1
Q.20
If $$x + \frac{1}{x} = 3{\text{,}}$$ then the value of $$\frac{{3{x^2} - 4x + 3}}{{{x^2} - x + 1}}$$ is?
$$\frac{4}{3}$$
$$\frac{3}{2}$$
$$\frac{5}{2}$$
$$\frac{5}{3}$$
Q.21
If $$\frac{{2x - y}}{{x + 2y}} = \frac{1}{2}{\text{,}}$$ then value of $$\frac{{3x - y}}{{3x + y}}\,{\text{is?}}$$
$$\frac{1}{5}$$
$$\frac{3}{5}$$
$$\frac{4}{5}$$
1
Q.22
If $$x + \frac{1}{x} = 5{\text{,}}$$ then $$\frac{{2x}}{{3{x^2} - 5x + 3}}$$ is equal to?
5
$$\frac{1}{5}$$
3
$$\frac{1}{3}$$
Q.23
If $$x = a + \frac{1}{a}$$ and $$y = a - \frac{1}{a},$$   then the value of x
4
+ y
4
- 2x
2
y
2
is?
24
18
16
12
Q.24
If p = 101, then the value of $$\root 3 \of {p\left( {{p^2} - 3p + 3} \right) - 1} $$ is?
100
101
102
1000
Q.25
If $${x^{x\sqrt x }} = {\left( {x\sqrt x } \right)^x}{\text{,}}$$ then x equals to?
$$\frac{4}{9}$$
$$\frac{2}{3}$$
$$\frac{9}{4}$$
$$\frac{3}{2}$$
Q.26
$${\text{If }}\sqrt {1 - \frac{{{x^3}}}{{100}}} = \frac{3}{5}{\text{,}}$$ then x equals to?
2
4
16
$${\left( {136} \right)^{\frac{1}{3}}}$$
Q.27
$${\text{If }}\,\sqrt {1 + \frac{x}{9}} = \frac{{13}}{3}{\text{,}}$$ then the value of x is?
$$\frac{{1439}}{9}$$
160
$$\frac{{1443}}{9}$$
169
Q.28
If 50% of (p - q) = 30% of (p + q), then p : q is equal to?
5 : 3
4 : 1
3 : 5
1 : 4
Q.29
If x : y = 2 : 1, then (5x
2
- 13xy + 6y
2
) is equal to ?
$$\frac{3}{4}$$
$$\frac{4}{3}$$
0
$$\frac{{55}}{4}$$
Q.30
$${\text{If }}\frac{{4\sqrt 3 + 5\sqrt 2 }}{{\sqrt {48} + \sqrt {18} }} = a + b\sqrt 6 {\text{,}}$$ then the value of a and b are respectively?
$$\frac{9}{{15}}, - \frac{4}{{15}}$$
$$\frac{3}{{11}},\frac{4}{{33}}$$
$$\frac{9}{{10}},\frac{2}{5}$$
$$\frac{3}{5},\frac{4}{{15}}$$
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