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Quiz 7
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Q.1
If $$x + \frac{1}{x} = 5{\text{,}}$$ then the value of $$\frac{{{x^4} + 3{x^3} + 5{x^2} + 3x + 1}}{{{x^4} + 1}} = ?$$
$$\frac{{43}}{{23}}$$
$$\frac{{47}}{{21}}$$
$$\frac{{41}}{{23}}$$
$$\frac{{45}}{{21}}$$
Q.2
If x = 3 + 2$$\sqrt 2 $$ and xy = 1, then the value of $$\frac{{{x^2} + 3xy + {y^2}}}{{{x^2} - 3xy + {y^2}}}$$ is?
$$\frac{{30}}{{31}}$$
$$\frac{{70}}{{31}}$$
$$\frac{{35}}{{31}}$$
$$\frac{{37}}{{31}}$$
Q.3
If x - y = 2, xy = 24, then the value of (x
2
+ y
2
) is?
25
36
63
52
Q.4
If the expression $$\frac{{{x^2}}}{{{y^2}}} + tx + \frac{{{y^2}}}{4}$$   is a perfect square, then the value of t is?
±1
±2
0
±3
Q.5
The graph of linear equation y = x passes throughout the point ?
$$\left( {\frac{3}{2}, - \frac{3}{2}} \right)$$
$$\left( {0, - \frac{3}{2}} \right)$$
$$\left( {1,1} \right)$$
$$\left( { - \frac{1}{2},\frac{1}{2}} \right)$$
Q.6
If $$\frac{{4x}}{3} + {\text{2P}} = 12$$ for what value of P, x = 6?
6
4
2
1
Q.7
The area (in sq. unit) of the triangle formed by the graphs of the equations x = 4, y = 3 and 3x + 4y = 12 is?
24 sq. units
6 sq. units
12 sq. units
3 sq. units
Q.8
If $${64^{x + 1}} = \frac{{64}}{{{4^x}}}{\text{,}}$$ then the value of x is?
1
0
$$\frac{1}{2}$$
2
Q.9
If ax
2
+ bx + c = a(x - p)
2
, then the relation among a, b, c would be?
abc = 1
b
2
= ac
b
2
= 4ac
2b = a + c
Q.10
If p = 124, then the value of $$\root 3 \of {p\left( {{p^2} + 3p + 3} \right) + 1} = ?$$
5
7
123
125
Q.11
If $$x + \frac{1}{x} = 2$$ and x is real, then the value of $${x^{17}}{\text{ + }}\frac{1}{{{x^{19}}}}\,{\text{is?}}$$
1
0
2
-2
Q.12
If $$x + \frac{1}{{4x}} = \frac{3}{2}{\text{,}}$$ find the value of $${\text{8}}{x^3}{\text{ + }}\frac{1}{{8{x^3}}} = ?$$
18
36
24
16
Q.13
If a + b = 1 and a
3
+ b
3
+ 3ab = k, then the value of k is?
1
3
5
7
Q.14
The lines 2x + y = 5 and x + 2y = 4 intersect at the point?
(1, 2)
(2, 1)
(2, 0)
(0, 2)
Q.15
If x is real, $$x + \frac{1}{x} \ne 0$$ and $${x^3}{\text{ + }}\frac{1}{{{x^3}}} = 0{\text{,}}$$ then the value of $${\left( {x + \frac{1}{x}} \right)^4}\,{\text{is?}}$$
4
9
16
25
Q.16
If a
2
+ b
2
+ c
2
+ 3 = 2(a + b + c) then the value of (a + b + c) is?
2
3
4
5
Q.17
If $$x - \frac{1}{x} = 5{\text{,}}$$ then $${x^2}{\text{ + }}\frac{1}{{{x^2}}}$$ is?
5
25
27
23
Q.18
If a + b + c = 0, then the value of $$\frac{1}{{\left( {a + b} \right)\left( {b + c} \right)}} + $$ $$\frac{1}{{\left( {a + c} \right)\left( {b + a} \right)}} + $$ $$\frac{1}{{\left( {c + a} \right)\left( {c + b} \right)}}$$ $$ = ?$$
1
0
-1
-2
Q.19
If x
2
+ y
2
- 4x - 4y + 8 = 0, then the value of x - y is?
4
-4
0
8
Q.20
If x : y = 3 : 4, then the value of $$\frac{{5x - 2y}}{{7x + 2y}} = ?$$
$$\frac{7}{{25}}$$
$$\frac{7}{{23}}$$
$$\frac{7}{{29}}$$
$$\frac{7}{{17}}$$
Q.21
If $$\frac{{2p}}{{{p^2} - 2p + 1}} = \frac{1}{4}{\text{,}}$$ p ≠ 0 then the value of $$p + \frac{1}{p}\,{\text{is?}}$$
4
5
10
12
Q.22
If a
3
b = abc = 180, a, b, c are positive integers, then the value of c is?
110
1
4
25
Q.23
If $${x^2} - 3x + 1 = 0,$$ then the value of $${x^3}{\text{ + }}\frac{1}{{{x^3}}}\,{\text{is?}}$$
9
18
27
1
Q.24
If $$3x + \frac{1}{{2x}} = 5{\text{,}}$$ then the value of $${\text{8}}{x^3}{\text{ + }}\frac{1}{{27{x^3}}}\,{\text{is?}}$$
$${\text{118}}\frac{1}{2}$$
$${\text{30}}\frac{{10}}{{27}}$$
0
1
Q.25
If x + y = z, then the expression x
3
+ y
3
- z
3
+ 3xyz will be equal to?
0
3xyz
-3xyz
3z
Q.26
If a
3
- b
3
- c
3
- 3abc = 0, then -
a = b = c
a + b + c = 0
a + c = b
a = b + c
Q.27
If $$n = 7 + 4\sqrt 3 {\text{,}}$$ then the value of $$\left( {\sqrt n + \frac{1}{{\sqrt n }}} \right)$$ is:
$${\text{2}}\sqrt 3 $$
4
-4
$$ - 2\sqrt 3 $$
Q.28
If x = b + c - 2a, y = c + a - 2b, z = a + b - 2c, then the value of x
2
+ y
2
- z
2
+ 2xy is?
0
a + b + c
a - b + c
a + b - c
Q.29
If $$x + \frac{1}{x} = \sqrt 3 {\text{,}}$$ then the value of x
18
+ x
12
+ x
6
+ 1 is?
0
1
2
3
Q.30
If $${a^{\frac{1}{3}}} = 11,$$ then the value of a
2
- 331a is?
1331331
1331000
1334331
1330030
0 h : 0 m : 1 s
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