Explore topic-wise MCQs in Maths.

This section includes 123 Mcqs, each offering curated multiple-choice questions to sharpen your Maths knowledge and support exam preparation. Choose a topic below to get started.

51.

If a+b = 1 and a3+b3+3ab=k, then the value of k is :

A. 5
B. 7
C. 1
D. 3
Answer» D. 3
52.

If $$64^{x+1}={64 over 4^x}$$, then the value of x

A. $$1 over 2$$
B. 2
C. 1
D. 0
Answer» E.
53.

If a, b are rational number and (a-1) 2+3=b 2+a, the value of (a+b) is :

A. -3
B. 5
C. -5
D. 3
Answer» C. -5
54.

if a3b = abc = 180, a, b, c are positive integers, then the value of c is

A. 4
B. 25
C. 110
D. 1
Answer» E.
55.

If for two real constants a and b the expression ax3+3x2-8x+b is exactly divisible by (x+2) and (x-2), then

A. a = 2, b = -12
B. a = -2, b = 12
C. a = 2, b = 12
D. a = 12, b = 12
Answer» B. a = -2, b = 12
56.

If x = b+c -2a, y=c+a-2b, z=a+b-2c, then the value of x2+y2-z2+2xy is :

A. a-b+c
B. a+b-c
C. 0
D. a+b+c
Answer» D. a+b+c
57.

If x2+y2-4x-4y+8=0, then the value of x-y is:

A. 0
B. 8
C. 4
D. -4
Answer» B. 8
58.

If $$ {xy over x+y}= a, $$ $${xz over x+z}=b $$ and $$ {yz over y+z} =c $$ where a, b, c are all non zero numbers, then x equals to

A. $$ 2abc over {ab+bc-ac} $$
B. $$ 2abc over {ab+ac-ac} $$
C. $$ 2abc over {ac+bc-ab} $$
D. $$ 2abc over {ac+bc-ac} $$
Answer» D. $$ 2abc over {ac+bc-ac} $$
59.

If $$p q=p+q+{p over q}$$, the value of 8 2 is :

A. 14
B. 16
C. 6
D. 10
Answer» B. 16
60.

If a b, then which of the following statement is true ?

A. $${a+b over 2}= sqrt{ab} $$
B. $${a+b over 2}> sqrt{ab} $$
C. $${a+b over 2}< sqrt{ab} $$
D. All of the above
Answer» C. $${a+b over 2}< sqrt{ab} $$
61.

If $$n+{2 over 3}n+{1 over2}n+{1 over7}n=97$$ then the value of n is :

A. 44
B. 46
C. 40
D. 42
Answer» E.
62.

If 5 x + 12 x = 13 x, then x is equal to:

A. 9
B. 16
C. $${25 over4}$$
D. 4
Answer» E.
63.

If $${ sqrt{7-2} over sqrt{7+2}}=a sqrt{7}+b$$, then the value of a is :

A. $${4 over3}$$
B. $${-4 7 over3}$$
C. $${11 over2}$$
D. $$-{4 over3}$$
Answer» E.
64.

If x is real then the minimum value of (x2-x-1) is :

A. 1
B. $$-{5 over 4}$$
C. $$3 over 4 $$
D. 0
Answer» C. $$3 over 4 $$
65.

If a2x+2=1, where a is a positive real number other than 1, then x is equal to

A. 0
B. 1
C. 2
D. 1
Answer» E.
66.

If x, y are two positive real number and $$x^{1/3}=y^{1/4}$$, then which of the following relations is true?

A. $$x=y^3$$
B. $$x^{20}=y^{15}$$
C. $$x^3=y^4$$
D. $$x^3=y$$
Answer» C. $$x^3=y^4$$
67.

If a = 7, b = 5 and c = 3, then the value of $$a^2+b^2+c^2-ab-bc-ca$$ is

A. 0
B. 8
C. 12
D. -12
Answer» D. -12
68.

Two numbers x and y (x>y) such that their sum is equal to three times their difference. Then value of $$3xy over 2(x^2-y^2$$ will be

A. $$1{1 over 2} $$
B. $$1{1 over 3} $$
C. $$ {2 over 3}$$
D. 1
Answer» E.
69.

Out of the given responses one of the factors of (a2-b2)3+(b2-c2)3+(c2-a2)3 is

A. (a+b) (a-b)
B. (a+b) (a+b)
C. (a b) (a b)
D. (b c) (b c)
Answer» B. (a+b) (a+b)
70.

x = y = 333 and z = 334, then value of x3 + y3 + z3 3xyz is

A. 0
B. 667
C. 1000
D. 2334
Answer» D. 2334
71.

If a + b + c = 0, then a3+b3+c3 is equal to

A. a + b + c
B. abc
C. 2abc
D. 3abc
Answer» E.
72.

If a2+b2+c2 = 2(a b c) 3 then the value of 4a 3b + 5c is

A. 2
B. 3
C. 5
D. 6
Answer» B. 3
73.

If $$ {t^{2}-4t+1=0}$$ then what is the value of $${t^{3}+{1 over {t^{3}}}}$$ ?

A. 44
B. 48
C. 52
D. 64
Answer» D. 64
74.

If 0.13 x p2 = 13, then p is equal to

A. 10
B. 0.01
C. 0.1
D. 100
Answer» B. 0.01
75.

If $${144 over0.144}={14.4 over x}$$, then the value of x is

A. 144
B. 14.4
C. 1.44
D. 0.0144
Answer» E.
76.

If x2+y2+z2 = xy + yz + zx, then the value of $${3x^4+7y^4+5z^4} over{5x^2y^2+7y^2z^2+3z^2x^2} $$ is

A. 2
B. 1
C. 0
D. -1
Answer» C. 0
77.

If $${3-5x over 2x}+{3-5y over 2y}+{3-5z over 2z}=0$$ then the value of $${2 over x}+{2 over y}+{2 over z}$$ is:

A. 20
B. 10
C. 5
D. 15
Answer» C. 5
78.

$$ {x+{1 over{x}}}$$, then the value of $$ {x^2}+{1 over{x^2}}$$ is

A. 9
B. 7
C. 11
D. 14
Answer» C. 11
79.

If a2=b+c, b2=c+a and c2=a+b then the value of $$ {1 over{1+a}}+{1 over{1+b}}+{1 over{1+c}}$$ is

A. abc
B. 1
C. 0
D. 2
Answer» C. 0
80.

If xy(x+y)=1, then $$ {1 over x^3 y^3}-{x^3-y^3}$$ is equal to-

A. 0
B. 1
C. 3
D. -2
Answer» D. -2
81.

$$ {a^2-b^2-2bc-c^2} over{a^2+b^2+2ab-c^2}$$ is equal to

A. $$ {a-b-c} over{a+b-c}$$
B. $$ {a-b+c} over{a+b-c}$$
C. $$ {a-b-c} over{a+b+c}$$
D. $$ {a-b-c} over{a+b-c}$$
Answer» B. $$ {a-b+c} over{a+b-c}$$
82.

If a-b=10 and ab=-21, then what is the value of a3-b3?

A. 316
B. 370
C. 185
D. 158
Answer» C. 185
83.

If $$ {x+{1 over x}}=2$$ then find out the value of $${2x^2+2} over{3x^2+5x+3}$$

A. $${4 over 11}$$
B. $${5 over 11}$$
C. $${7 over 5}$$
D. $${4 over 9}$$
Answer» B. $${5 over 11}$$
84.

The ratio of two unequal sides of a rectangle is 1 : 2. If its perimeter is 24 cm, then the length of diagonal in cm is:

A. $$ {2 over { sqrt {5}}}$$
B. $$ {4 over { sqrt {5}}}$$
C. $$ {2 { sqrt {5}}}$$
D. $$ {4 { sqrt {5}}}$$
Answer» E.
85.

If x y + z = 15, xyz = -216 and xz xy yz = 18, then the value of $$ {x^3}-{y^3}+{z^3}=$$

A. 2613
B. 2813
C. 3013
D. 3213
Answer» E.
86.

If 0.4 m + 0.8 n = 2.2 and 0.8 m + 0.4 n = 1.4, then the value of $$ {m^2}+{n^2}$$ is equal to

A. 8.5
B. 6.5
C. 16
D. 9
Answer» C. 16
87.

If $$ {x^2} -4x-1 $$ then the value of $$ {{x^6} -{x^4}+{x^2}-1} over {x^3}$$ will be

A. 72
B. 76
C. 80
D. 84
Answer» B. 76
88.

If $$ {{x+1} over4x}={5 over 2}$$ then what is the value of $$ 64x^6+1 over 8x^3 $$

A. 110
B. 115
C. 125
D. 120
Answer» C. 125
89.

If (a-b)2 + (b-c)2 + (c-a)2 = 0, then find the value of (a3+b3+c3-3abc) ?

A. 2
B. -1
C. 0
D. 1
Answer» D. 1
90.

If $$ {x+{1 over x}= sqrt{3}}$$ then $$ {x^{48}+x^{378 over7}+x^{726 over11}+x^{60}}$$ is equal to

A. 1
B. 0
C. -1
D. 2
Answer» C. -1
91.

If $$ {x+{1 over {x}}=1}$$, then find the value of $$ {x^{208}+{x^{205}+x^{204}+x^{201}}}$$.

A. 0
B. 1
C. 1
D. 2
Answer» B. 1
92.

Find the value of. 672 332.

A. 3200
B. 3400
C. 3146
D. 3143
Answer» C. 3146
93.

Value of $$ sqrt{6+ sqrt {6+ sqrt {6+....}}}$$

A. 5
B. 4
C. 3
D. 2
Answer» D. 2
94.

Three positive numbers are in the ratio of 11 : 12 : 15. If the sum of the squares of those numbers is 1960, then the sum of the numbers is

A. 38
B. 76
C. 114
D. 152
Answer» C. 114
95.

If x - y = 3, then what is the value of x3 - y3-9xy?

A. 18
B. 27
C. 3
D. 9
Answer» C. 3
96.

If x - y = 6 and xy = 40, then nd $$ {x^2+y^2}$$

A. 146
B. 80
C. 89
D. 116
Answer» E.
97.

If bc+ab+ca=abc, then the value of $$ {b+c over {bc(a-1)}}+{a-c over {ac(b-1)}}+{a+b over {ab(c-1)}}$$ is

A. 2
B. 1
C. 0
D. $$ {-1 over {2}}$$
Answer» C. 0
98.

If $$ {3x+}{2 over { sqrt{x}}}=1$$ then $$ {x-{ sqrt{x}}}=?$$

A. $$ {-2 over { sqrt{3}}}$$
B. $$ {-3 over { sqrt{3}}}$$
C. $$ {2 over { sqrt{3}}}$$
D. $$ {-1 over { sqrt{3}}}$$
Answer» B. $$ {-3 over { sqrt{3}}}$$
99.

If x + y + z=1, xy+yz+zx=-26 and x3 + y3+z3=151, then what will be the value of xyz?

A. -18
B. 32
C. 24
D. 30
Answer» D. 30
100.

If $$ ({x+y over z})=2$$ , then what is the value of $$ [{ {y over {y-z}}}] +[{ {x over {x-z}}}]$$.

A. 0
B. 1
C. 2
D. -1
Answer» D. -1