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Quiz 6
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30
Q.1
If $$p \times q = p + q + \frac{p}{q}{\text{,}}$$ then the value of 8 × 2 is?
6
10
14
16
Q.2
If t
2
- 4t + 1 = 0, then the value of $${t^3} + \frac{1}{{{t^3}}}$$ is?
44
48
52
64
Q.3
If $$\root 3 \of a + \root 3 \of b + \root 3 \of c {\text{,}}$$ then the simplest value of $${\left( {a + b - c} \right)^3}$$ + $$27abc$$ is?
-1
3
-3
0
Q.4
If a
2
- 4a - 1 = 0 then value of $${a^2} + \frac{1}{{{a^2}}} + 3a - \frac{3}{a}$$ is?
25
30
35
40
Q.5
If $$\frac{a}{b} = \frac{7}{9},{\text{ }}\frac{b}{c} = \frac{3}{5}{\text{,}}$$ then the value of a : b : c is?
7 : 9 : 15
7 : 9 : 5
21 : 35 : 45
7 : 3 : 15
Q.6
If a ⊕ b = (a × b) + b, then 5 ⊕ 7 equals to?
12
35
42
50
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 $${\text{A}}:{\text{B}} = \frac{1}{2}:\frac{3}{8}{\text{,}}$$ $${\text{B}}:{\text{C}} = \frac{1}{3}:\frac{5}{9}$$ and $${\text{C}}:{\text{D}} = \frac{5}{6}:\frac{3}{4}{\text{,}}$$ then find the ratio of A : B : C : D = ?
6 : 4 : 8 : 10
6 : 8 : 9 : 10
8 : 6 : 10 : 9
4 : 6 : 8 : 10
Q.9
If A : B : C = 2 : 3 : 4, then $$\frac{{\text{A}}}{{\text{B}}}{\text{:}}\frac{{\text{B}}}{{\text{C}}}{\text{:}}\frac{{\text{C}}}{{\text{A}}}$$ is equal to?
8 : 9 : 16
8 : 9 : 12
8 : 9 : 24
4 : 9 : 16
Q.10
The value of $$\left( {{\text{1 + }}\frac{1}{x}} \right)$$ $$\left( {{\text{1 + }}\frac{1}{{x + 1}}} \right)$$ $$\left( {{\text{1 + }}\frac{1}{{x + 2}}} \right)$$ $$\left( {{\text{1 + }}\frac{1}{{x + 3}}} \right)$$ is?
$$1 + \frac{1}{{x + 4}}$$
x + 4
$$\frac{1}{x}$$
$$\frac{{x + 4}}{x}$$
Q.11
If $$\frac{a}{b}{\text{ = }}\frac{2}{3}$$ and $$\frac{b}{c}{\text{ = }}\frac{4}{5}{\text{,}}$$ then the ration $$\frac{{a + b}}{{b + c}}$$ equal to?
$$\frac{{20}}{{27}}$$
$$\frac{{27}}{{20}}$$
$$\frac{6}{8}$$
$$\frac{8}{6}$$
Q.12
If $$\frac{{2a + b}}{{a + 4b}} = 3{\text{,}}$$ then find the value of $$\frac{{a + b}}{{a + 2b}} = ?$$
$$\frac{5}{9}$$
$$\frac{2}{7}$$
$$\frac{{10}}{9}$$
$$\frac{{10}}{7}$$
Q.13
If x : y = 4 : 15 then the value of $$\left( {\frac{{x - y}}{{x + y}}} \right)$$ is?
$$\frac{{11}}{{19}}$$
$$\frac{{19}}{{11}}$$
$$\frac{4}{{11}}$$
$$\frac{{15}}{{19}}$$
Q.14
If (x - 3)
2
+ (y - 5)
2
+ (z - 4)
2
= 0, then the value of $$\frac{{{x^2}}}{9}{\text{ + }}\frac{{{y^2}}}{{25}}{\text{ + }}\frac{{{z^2}}}{{16}}$$ is?
12
9
3
1
Q.15
If $$x = \root 3 \of {a + \sqrt {{a^2} + {b^3}} } $$ + $$\root 3 \of {a - \sqrt {{a^2} + {b^3}} } $$ then $${x^3} + 3bx$$ is equal to?
0
a
2a
1
Q.16
If $$\frac{{{x^{24}} + 1}}{{{x^{12}}}} = 7,$$ then the value of $$\frac{{{x^{72}} + 1}}{{{x^{36}}}} = \,?$$
343
433
432
322
Q.17
If 47.2506 = 4A + 7B + 2C + $$\frac{5}{{\text{D}}}$$ + 6E, then the value of 5A + 3B + 6C + D + 3E is?
53.6003
53.603
153.6003
213.0003
Q.18
If x * y = x
2
+ y
2
- xy, then the value of 9 * 11 is?
93
103
113
121
Q.19
If $$x + \frac{1}{x} = 3{\text{,}}$$ then the value of $$\left( {{x^5} + \frac{1}{{{x^5}}}} \right)\,{\text{is?}}$$
322
126
123
113
Q.20
If $$x + \frac{1}{x} = 2,$$ x ≠ 0, then the value of $${x^2}{\text{ + }}\frac{1}{{{x^3}}}$$ is equal to?
1
2
3
4
Q.21
If $$x = \sqrt 3 + \sqrt 2 {\text{,}}$$ then the value of $$\left( {x + \frac{1}{x}} \right)\,{\text{is?}}$$
$${\text{2}}\sqrt 2 $$
$${\text{2}}\sqrt 3 $$
2
3
Q.22
If p + q = 10 and pq = 5, then the numerical value of $$\frac{p}{q}{\text{ + }}\frac{q}{p}$$ will be?
16
20
22
18
Q.23
x varies inversely as square of y. Given that y = 2 for x = 1, the value of x for y = 6 will equal to?
3
9
$$\frac{1}{3}$$
$$\frac{1}{9}$$
Q.24
If a
2
+ b
2
+ c
2
+ 3 = 2(a - b - c), then the value of 2a - b + c is?
3
4
0
2
Q.25
If x = 2 then the value of x
3
+ 27x
2
+ 243x + 631 = ?
1321
1233
1231
1211
Q.26
If $$x - \frac{1}{x} = 3{\text{,}}$$ then the value of $${x^3} - \frac{1}{{{x^3}}}\,{\text{is?}}$$
32
36
40
49
Q.27
If x + y + z = 6, then the value of (x - 1)
3
+ (y - 2)
3
+ (z - 3)
3
is?
3(x - 1)(y + 2)(z - 3)
3(x + 1)(y - 2)(z - 3)
3(x - 1)(y - 2)(z + 3)
3(x - 1)(y - 2)(z - 3)
Q.28
If $${\left( {x + \frac{1}{x}} \right)^2} = 3{\text{,}}$$ then the value of (x
72
+ x
66
+ x
54
+ x
24
+ x
6
+ 1) is?
0
1
84
206
Q.29
$${\text{The value of }}\frac{{4 + 3\sqrt 3 }}{{7 + 4\sqrt 3 }}{\text{ is?}}$$
5$$\sqrt 3 $$ - 8
5$$\sqrt 5 $$ + 8
8$$\sqrt 3 $$ + 5
8$$\sqrt 3 $$ - 5
Q.30
If a
3
- b
3
= 56 and a - b = 2, then the value of a
2
+ b
2
will be?
48
20
22
5
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