MCQGeeks
0 : 0 : 1
CBSE
JEE
NTSE
NEET
English
UK Quiz
Quiz
Driving Test
Practice
Games
Quiz
Arithmetic Ability
Algebra
Quiz 3
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
Q.1
If $$\frac{{m - 3{a^3}}}{{{b^3} + {c^3}}}$$ $$+$$ $$\frac{{m - 3{b^3}}}{{{c^3} + {a^3}}}$$ $$+$$ $$\frac{{m - 3{c^3}}}{{{a^3} + {b^3}}}$$ = 9, then the value of m is?
$${a^2} + {b^2} + {c^2}$$
$${\text{2}}{a^2} + 2{b^2} + 2{c^2}$$
$${\text{3}}{a^2} + 3{b^2} + 3{c^2}$$
2
Q.2
If $$a + \frac{1}{a} + 1 = 0\left( {a \ne 0} \right){\text{,}}$$ then the value of $$\left( {{a^4} - a} \right)\,{\text{is?}}$$
0
1
2
-1
Q.3
$$\frac{{\frac{1}{3}.\frac{1}{3}.\frac{1}{3} + \frac{1}{4}.\frac{1}{4}.\frac{1}{4} - 3.\frac{1}{3}.\frac{1}{4}.\frac{1}{5} + \frac{1}{5}.\frac{1}{5}.\frac{1}{5}}}{{\frac{1}{3}.\frac{1}{3} + \frac{1}{4}.\frac{1}{4} + \frac{1}{5}.\frac{1}{5} - \left( {\frac{1}{3}.\frac{1}{4} + \frac{1}{4}.\frac{1}{5} + \frac{1}{5}.\frac{1}{3}} \right)}}{\text{ is?}}$$
$$\frac{2}{3}$$
$$\frac{3}{4}$$
$$\frac{{47}}{{60}}$$
$$\frac{{49}}{{60}}$$
Q.4
If 0.13 × p
2
= 13, then p is equal to?
10
0.01
0.1
100
Q.5
If (125)
x
= 3125, then the value of x is?
$$\frac{1}{5}$$
$$\frac{3}{5}$$
$$\frac{5}{3}$$
$$\frac{5}{7}$$
Q.6
If a
2x+2
= 1, where is a positive real number other than 1, then x is equal to?
-2
-1
0
1
Q.7
If $${\left( {a + \frac{1}{a}} \right)^2} = 3{\text{,}}$$ then find the value of $${a^{30}}$$ + $${a^{24}}$$ + $${a^{18}}$$ + $${a^{12}}$$ + $${a^6}$$ + $$1$$ = ?
0
-27
1
-1
Q.8
If $$\left( {\sqrt a + \sqrt b } \right)$$ = 15 and $$\left( {\sqrt a - \sqrt b } \right)$$ = 3, then the value of $$\frac{{\sqrt {ab} }}{4}$$ is?
6
7
$$\frac{{27}}{2}$$
5
Q.9
If $$a + \frac{1}{a} = 3,$$ then the value of $${a^3} + \frac{1}{{{a^3}}}$$ is?
27
24
19
18
Q.10
If α and β are the roots of equation x
2
+ αx + β = 0 then find α
3
+ β
3
= ?
-7
8
-8
7
Q.11
If a
2
= b + c, b
2
= a + c, c
2
= b + a, then what will be the value of $$\frac{1}{{a + 1}}$$ + $$\frac{1}{{b + 1}}$$ + $$\frac{1}{{c + 1}}$$ ?
-1
2
1
0
Q.12
If $$x = 7 - 4\sqrt 3 {\text{,}}$$ then $$\sqrt x {\text{ + }}\frac{1}{{\sqrt x }}$$ is equal to?
1
2
3
4
Q.13
If x : y = 3 : 4, then (7x + 3y) : (7x - 3y) is equal to?
5 : 2
4 : 3
11 : 3
37 : 19
Q.14
For what value (s) of a is $$x + \frac{1}{4}\sqrt x + {a^2}$$ a perfect square?
$$ \pm \frac{1}{{18}}$$
$$\frac{1}{8}$$
$$ - \frac{1}{5}$$
$$\frac{1}{4}$$
Q.15
If x : y = 3 : 5 and x - y = -2, then the value of x + y is?
8
2
3
5
Q.16
If x = 1 + $$\sqrt 2 $$ + $$\sqrt 3 $$ and y = 1 + $$\sqrt 2 $$ - $$\sqrt 3 {\text{,}}$$ then the value of $$\frac{{{x^2} + 4xy + {y^2}}}{{x + y}}$$ is?
$$2\sqrt 2 $$
$$2\left( {2 + \sqrt 2 } \right)$$
1
6
Q.17
If $$x + \frac{1}{x} = 3{\text{,}}$$ where $$x \ne 0{\text{,}}$$ then the value of $$\frac{{{x^4} + 3{x^3} + 5{x^2} + 3x + 1}}{{{x^4} + 1}}$$ = ?
3
5
7
2
Q.18
If $$x = \sqrt {a\root 3 \of {ab\sqrt {a\root 3 \of {ab} } } } .... \propto $$ then the value of x is?
$$\root 5 \of {{a^2}b} $$
$$\root 5 \of {{a^4}{b^4}} $$
$$\root 6 \of {{a^5}b} $$
$$\root 5 \of {{a^4}b} $$
Q.19
If $${x^2} + \frac{1}{{{x^2}}} = 1{\text{,}}$$ then the value of $${x^{102}}$$ $$ + $$ $${x^{96}}$$ $$ + $$ $${x^{90}}$$ $$ + $$ $${x^{84}}$$ $$ + $$ $${x^{78}}$$ $$ + $$ $${x^{72}}$$ $$ + $$ $$5$$ is?
0
5
3
1
Q.20
Find the value of a and b if (x - 1) and (x + 1) are factors of x
4
+ ax
3
- 3x
2
+ 2x + b = ?
2, -1
-2, 1
-2, 2
1, -1
Q.21
If $$a + b = 2c,$$ find $$\frac{a}{{a - c}}$$ + $$\frac{c}{{b - c}}$$ = ?
27
1
54
9
Q.22
If $$\frac{a}{b} = \frac{1}{2},$$ find the value of the expression $$\frac{{\left( {2a - 5b} \right)}}{{\left( {5a + 3b} \right)}}$$ = ?
-32
11
$$\frac{{ - 8}}{{11}}$$
17
Q.23
The simplified value of following is: $$\left( {\frac{3}{{15}}{a^5}{b^6}{c^3} \times \frac{5}{9}a{b^5}{c^4}} \right)$$ $$ ÷ $$ $$\frac{{10}}{{27}}{a^2}b{c^3}$$
$$\frac{3}{{10}}a{b^4}{c^3}$$
$$\frac{9}{{10}}{a^2}b{c^4}$$
$$\frac{3}{{10}}{a^4}{b^{10}}{c^4}$$
$$\frac{1}{{10}}{a^4}{b^4}{c^{10}}$$
Q.24
If x = 5, then the value of the expression $${x^2} - 2 + \frac{1}{{{x^2}}}$$ is?
$$\frac{{576}}{{25}}$$
$$\frac{{24}}{{25}}$$
$$\frac{{24}}{5}$$
$$\frac{{625}}{{24}}$$
Q.25
If $$\frac{x}{y}{\text{ = }}\frac{{a + 2}}{{a - 2}}{\text{,}}$$ then the value of $$\frac{{{x^2} - {y^2}}}{{{x^2} + {y^2}}}$$ = ?
$$\frac{{2a}}{{{a^2} + 2}}$$
$$\frac{{4a}}{{{a^2} + 4}}$$
$$\frac{{2a}}{{{a^2} + 4}}$$
$$\frac{{4a}}{{{a^2} + 2}}$$
Q.26
If p(x + y)
2
= 5 and q(x - y)
2
= 3, then the simplified value of p
2
(x + y)
2
+ 4pqxy - q
2
(x - y)
2
is?
2(p + q)
-(p + q)
-2(p + q)
p + q
Q.27
If x + y + z = 6 and xy + yz + zx = 10, then the value of x
3
+ y
3
+ z
3
- 3xyz is?
36
40
42
48
Q.28
If $$\frac{{x + 1}}{{x - 1}} = \frac{a}{b}$$ and $$\frac{{1 - y}}{{1 + y}} = \frac{b}{a}{\text{,}}$$ then the value of $$\frac{{x - y}}{{1 + xy}}$$ is?
$$\frac{{{a^2} - {b^2}}}{{ab}}$$
$$\frac{{{a^2} + {b^2}}}{{2ab}}$$
$$\frac{{{a^2} - {b^2}}}{{2ab}}$$
$$\frac{{2ab}}{{{a^2} - {b^2}}}$$
Q.29
If 999x + 888y = 1332 and 888x + 999y = 555, then the value of x + y is?
888
1
555
999
Q.30
If a
2
+ b
2
+ c
2
= ab + bc + ca, then the value of $$\frac{{a + c}}{b}$$ is?
0
2
1
3
0 h : 0 m : 1 s
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
Report Question
×
What's an issue?
Question is wrong
Answer is wrong
Other Reason
Want to elaborate a bit more? (optional)
Support mcqgeeks.com by disabling your adblocker.
×
Please disable the adBlock and continue.
Thank you.
Reload page