Explore topic-wise MCQs in Aptitude.

This section includes 782 Mcqs, each offering curated multiple-choice questions to sharpen your Aptitude knowledge and support exam preparation. Choose a topic below to get started.

151.

If x + y = 15, then (x 10)3 + (y 5)3 is

A. 25
B. 125
C. 625
D. 0
Answer» E.
Discussion
152.

If a, b, c be all positive integers, then the least positive value of a3 + b3 + c3 3abc is

A. 1
B. 2
C. 4
D. 3
Answer» D. 3
Discussion
153.

Find the value of (x + y + z)(x + y - 3z) ÷ xy z when x = + 1, y = 3, z = 1.

A. 1
B. 0
C. 1
Answer» D.
Discussion
154.

If x = k3 3k2 and y = 1 3k then for what value of k, will be x = y ?

A. 0
B. 1
C. 1
D. 2
Answer» C. 1
Discussion
155.

The factors of (a2 + 4b2 + 4b 4ab 2a 8) are

A. (a 2b 4) (a 2b + 2)
B. (a b + 2) (a 4b 4)
C. (a + 2b 4) (a + 2b + 2)
D. (a + 2b 1) (a 2b + 1)
Answer» B. (a b + 2) (a 4b 4)
Discussion
156.

If x (x 3) = 1, then the value of x3(x3 - 18) is

A. 1
B. 2
C. 1
D. 0
Answer» B. 2
Discussion
157.

If 3( a2 + b2 + c2 ) = (a + b + c)2 , then the relation between a, b and c is

A. a = b = c
B. a = b c
C. a < b < c
D. a > b > c
Answer» B. a = b c
Discussion
158.

If x2 + y2 + 1 = 2x , then the value of x3 + y5 is

A. 2
B. 0
C. 1
D. 1
Answer» E.
Discussion
159.

If a = 2.234, b = 3.121 and c = 5.355, then the value of a3 + b3 + c3 - 3abc is

A. 1
B. 0
C. 1
D. 2
Answer» C. 1
Discussion
160.

If x = 11, then the value of x5 12x4 + 12x3 12x2 + 12x 1 is

A. 5
B. 10
C. 15
D. 20
Answer» C. 15
Discussion
161.

If p = 99, then the value of p(p2 + 3p + 3) is

A. 10000000
B. 999000
C. 999999
D. 990000
Answer» D. 990000
Discussion
162.

If x = 997, y = 998 and z = 999, then the value of x2 + y2 + z2 xy yz zx is

A. 0
B. 1
C. 1
D. 3
Answer» E.
Discussion
163.

If a = 4.965, b = 2.343 and c = 2.622, then the value of a3 - b3 - c3 - 3abc is

A. 2
B. 1
C. 0
D. 9.93
Answer» D. 9.93
Discussion
164.

If a = 331, b = 336 and c = 667, then the value of a3 + b3 + c3 - 3abc is

A. 1
B. 6
C. 3
D. 0
Answer» E.
Discussion
165.

If a + b = c , then the simplest value of (a + b c)3 + 27abc is

A. 1
B. 3
C. 3
D. 0
Answer» E.
Discussion
166.

If m + n = 2, then the value of m3 + n3 - 6mn is

A. 8
B. 4
C. 8
D. 4
Answer» D. 4
Discussion
167.

138. If a2 + b2 + c2 ab bc ca = 0, then

A. a = b = c
B. a b = c
C. a = b c
D.
E. a b c
Answer» B. a b = c
Discussion
168.

If m = 4, n = 2, then the value of m3 - 3m2 + 3m + 3n + 3n2 + n3 is

A. 126
B. 124
C. 124
D. 126
Answer» B. 124
Discussion
169.

If x = 332, y = 333, z = 335, then the value of x3 + y3 + z3 3xyz is

A. 10000
B. 7000
C. 8000
D. 9000
Answer» C. 8000
Discussion
170.

If x + y + z = 6, then the value of (x - 1)3 + (y - 2)3 + (z - 3)3 is

A. 3 (x 1 ) (y 2 ) (z 3 )
B. 3xyz
C. (x 1 ) (y 2 ) (z 3 )
D. 2 (x 1 ) (y 2 ) (z 3 )
Answer» B. 3xyz
Discussion
171.

If x = 2 then the value of x3 + 27x2 + 243x + 631 is

A. 1233
B. 1211
C. 1231
D. 1321
Answer» B. 1211
Discussion
172.

Given that x3 + y3 = 72 and xy = 6 with x > y. Then the value of (x y) is

A. 4
B. 4
C. 2
D. 2
Answer» D. 2
Discussion
173.

168. If a + b = 1, find the value of a3 b3 - ab (a2 - b2)2

A. 1
B. 1
C. 0
D. 2
Answer» D. 2
Discussion
174.

If a -
1
 = 5 , then the value of (a - 3)3 -
1
 is
(a - 3)(a - 3)3
A. 5
B. 7
C. 2
D. 14
Answer» E.
Discussion
175.

If a2 + a + 1 = 0 , then the value of a5 + a4 + 1 is :

A. a
B. 1
C. 0
D. a + 1
Answer» D. a + 1
Discussion
176.

If x + y + z = 6 and xy + yz + zx = 10 then the value of x3 + y3 + z3 3xyz is :

A. 36
B. 48
C. 42
D. 40
Answer» B. 48
Discussion
177.

If p3 - q3 = (p q){(p q)2 xpq} then find the value of x

A. 3
B. 3
C. 1
D. 1
Answer» C. 1
Discussion
178.

If x 3 2 = 0 and y 3 + 2 = 0, then the value (x3 - 20 2) - (y3 + 20 2) is

A. 0
B. 1
C. 3
D. 2
Answer» B. 1
Discussion
179.

If x = a1 / 3 + a-1 / 3 , y = a1 / 2 - a-1 / 2 then value of (x4 - x2y2 1) + (y4 - x2y2 + 1) is

A. 16
B. 13
C. 12
D. 14
Answer» B. 13
Discussion
180.

If x = x2 + 11 - 2 , then the value of (x3 + 5x2 + 12x) is

A. 0
B. 3
C. 7
D. 11
Answer» C. 7
Discussion
181.

If a3 = 117 + b3 and a = 3 + b,then the value of (a + b) is :

A. 7
B. 49
C. 13
D. 0
Answer» B. 49
Discussion
182.

If x2 + y2 + 2x + 1 = 0, then the value of x31 + y35 is

A. 1
B. 0
C. 1
D. 2
Answer» B. 0
Discussion
183.

If (x 4)(x2 + 4x + 42) = x3 - p, then p is equal to

A. 27
B. 8
C. 64
D. 0
Answer» D. 0
Discussion
184.

If x , y, and z are real numbers such that (x 3)2 + (y 4)2 + (z 5)2 = 0 then, (x + y + z) is equal to

A. 12
B. 0
C. 8
D. 12
Answer» E.
Discussion
185.

If x4 + 2x3 + ax2 + bx + 9 is a perfect square, where a and b are positive real numbers, then the values of a and b are

A. a = 5, b = 6
B. a = 6, b = 7
C. a = 7, b = 6
D. a = 7, b = 8
Answer» D. a = 7, b = 8
Discussion
186.

If a + b c = 0 then the value of 2b2c2 + 2c2a2 + 2a2b2 a4 b4 c4

A. 7
B. 0
C. 14
D. 28
Answer» C. 14
Discussion
187.

If x2 + y2 + z2 = 2 (x + z 1), then the value of :
x3 + y3 + z3 = ?

A. 2
B. 0
C. 1
D. 1
Answer» B. 0
Discussion
188.

If x +
1
 = 2, then x2013 +
1
 = ?
xx2014
A. 0
B. 1
C. 1
D. 2
Answer» E.
Discussion
189.

If p + m = 6 and p3 + m3 = 72, then the value of pm is

A. 6
B. 12
C. 9
D. 8
Answer» E.
Discussion
190.

If x = 5, y = 6 and z = 11, then the value of x3 + y3 + z3 is

A. 890
B. 970
C. 870
D. 990
Answer» E.
Discussion
191.

If a +
1
 = 3 ,then the value
of a18 + a12 + a6 + 1 is
a
A. 0
B. 1
C. 1
D. 4
Answer» B. 1
Discussion
192.

If x = 2015, y = 2014 and z = 2013, then value of x2 + y2 + z2 xy yz zx is

A. 3
B. 4
C. 6
D. 2
Answer» B. 4
Discussion
193.

If p3 + 3p2 + 3p = 7, then the value of p2 + 2p is

A. 4
B. 3
C. 5
D. 6
Answer» C. 5
Discussion
194.

When f(x) = 12x3 13x2 5x + 7 is divided by (3x + 2), then the remainder is

A. 2
B. 0
C. 1
D. 1
Answer» E.
Discussion
195.

If
p
 +
q
 +
r
 = 1 and
a
 +
b
 +
c
 = 0
abcpqr

where p, q, r and a, b, c are non-zero, then the value of
p2
 +
q2
 +
r2
 is
a2b2c2
A. 1
B. 0
C. 1
D. 2
Answer» D. 2
Discussion
196.

If p = 124, p( p + 3p + 3 ) + 1 is

A. 5
B. 7
C. 123
D. 125
Answer» E.
Discussion
197.

If p = 101, then the value of p( p - 3p + 3 ) - 1 is

A. 100
B. 101
C. 102
D. 1000
Answer» B. 101
Discussion
198.

If x = 3 + 2 , then the value of x3 -
1
 is :
x3
A. 14
B. 14
C. 22
D.
E. 10
Answer» D.
Discussion
199.

If x + y + z = 6, then the value of (x 1)3 + (y 2)3 + (z 3)3 is

A. 3 (x 1) (y + 2) (z 3)
B. 3 (x + 1) (y 2) (z 3)
C. 3 (x 1) (y 2) (z + 3)
D. 3 (x 1) (y 2) (z 3)
Answer» E.
Discussion
200.

If P = 999, then the value of P( P + 3P + 3 ) + 1 is

A. 1000
B. 999
C. 998
D. 1002
Answer» B. 999
Discussion