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.

201.

If a = 1.21, b = 2.12 and c = 3.33, then the value of a3 - b3 - c3 3abc is

A. 0
B. 1
C. 2
D. 3
Answer» B. 1
202.

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
203.

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

A. a + b + c
B. abc
C. 2abc
D. 3abc
Answer» E.
204.

. If a b = 3 and a3 - b3 = 117 then |a + b| is equal to

A. 3
B. 5
C. 7
D. 9
Answer» D. 9
205.

If a = 7 + 2 12 and b = 7 - 2 12 , then ( a3 + b3 ) is equal to

A. 40
B. 44
C. 48
D. 52
Answer» E.
206.

If a = 4 . 36, b = 2.39 and c = 1.97, then the value of a3 - b3 - c3 3abc is

A. 3.94
B. 2.39
C. 0
D. 1
Answer» D. 1
207.

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

A. 999
B. 9999
C. 99999
D. 999999
Answer» E.
208.

If a = 34, b = c = 33, then the value of a3 + b3 + c3 3abc is

A. 0
B. 111
C. 50
D. 100
Answer» E.
209.

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

A. 1
B. 3
C. 5
D. 7
Answer» B. 3
210.

If a + b + c = 6, a2 + b2 + c2 = 14 and a3 + b3 + c3 = 36 , then the value of abc is

A. 3
B. 6
C. 9
D. 12
Answer» C. 9
211.

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)
212.

If p, q, r are all real numbers, then (p q)3 + (q r)3 + (r p)3 is
equal to

A. (p q) (q r) (r p)
B. 3(p q) (q r) (r p)
C. 0
D. 1
Answer» C. 0
213.

If a = 2 361, b = 3 263 and c = 5 624, then the value of a3 - b3 - c3 + 3abc is

A. 35 621
B. 0
C. 19 277
D. 1
Answer» C. 19 277
214.

If x = a b, y = b c, z = c a, then the numerical value of the algebraic expression x3 + y3 + z3 3xyz will be

A. a + b + c
B. 0
C. 4 (a + b + c)
D. 3 abc
Answer» C. 4 (a + b + c)
215.

If a3 - b3 - c3 3abc = 0, then

A. a = b = c
B. a + b + c = 0
C. a + c = b
D. a = b + c
Answer» E.
216.

If x = 2 - 21 / 3 + 22 / 3, then the value of x3 6x2 + 18x + 18 is

A. 22
B. 33
C. 40
D. 45
Answer» D. 45
217.

If x + y + z = 6 and x2 + y2 + z2= 20 then the value of x3 + y3 + z3 3xyz is

A. 64
B. 70
C. 72
D. 76
Answer» D. 76
218.

If a + b + c = 15 and a2 + b2 + c2 = 83 then the value of a3 + b3 + c3 3abc

A. 200
B. 180
C. 190
D. 210
Answer» C. 190
219.

If a3 - b3 = 56 and a b = 2, then value of a2 + b2 will be :

A. 48
B. 20
C. 22
D. 5
Answer» C. 22
220.

If a +
1
= 3 , then the value of a6 -
1
+ 2 will be
aa6

A. 1
B. 2
C. 3
D.
E. 5
Answer» C. 3
221.

If x + y = z, then the expression x3 + y3 - z3 + 3xyz will be equal to :

A. 0
B. 3xyz
C. 3xyz
D. z
Answer» B. 3xyz
222.

If xy (x + y) = 1, then the value of
1
- x3 - y3 is :
x3y3

A. 0
B. 1
C. 3
D. 2
Answer» D. 2
223.

If x1 / 3 + y1 / 3 = z1 / 3 , then {(x + y z)3 + 27xyz} equals :

A. 1
B. 1
C. 0
D. 27
Answer» D. 27
224.

If x +
1
= 3 ,then the value of x18 + x12 + x6 + 1 is
x

A. 0
B. 1
C. 2
D. 3
Answer» B. 1
225.

If x + y = 7, then the value of x3 + y3 + 21xy is

A. 243
B. 143
C. 343
D. 443
Answer» D. 443
226.

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 = 12, b = 2
C. a = 2, b = 12
D. a = 2, b = 12
Answer» D. a = 2, b = 12
227.

If
a
+
b
= 1, then the value of (a + b ) is :
ba

A. 1
B. 0
C. 1
D. 2
Answer» C. 1
228.

If xy + yz + zx = 1, then the value of
1 + y
is
(x + y)(y + z)

A. 2
B. 3
C. 4
D. 1
Answer» E.
229.

If m n = 2 and mn = 15, (m, n > 0) then the value of (m n ) (m n ) is :

A. 1856
B. 1658
C. 1586
D. 1568
Answer» E.
230.

If a + b + c = 83 and a + b + c = 15, then the value of (ab + bc + ca) is :

A. 69
B. 70
C. 71
D. 72
Answer» D. 72
231.

If x + y + z = 1,
1
+
1
+
1
= 1 and xyz = 1, then x + y + z is equal to
xyz

A. 1
B. 1
C. 2
D. 2
Answer» C. 2
232.

If x = 999, y = 1000, z = 1001, then the value of

A. 1000
B. 9000
C. 1
D. 9
Answer» E.
233.

If a + b + c = 0, then the value of (a + b + c ) is

A. abc
B. 2abc
C. 3abc
D. 0
Answer» D. 0
234.

If (x 5) + (y 2) + (z 9) = 0, then value of (x + y z) is :

A. 16
B. 1
C. 2
D. 12
Answer» D. 12
235.

If
a
+
b
= 1, then the value of a + b 2 is
ba

A. 0
B. 2
C. 1
D. 2
Answer» C. 1
236.

If x = 222, y = 223, z = 225 then the value of (x + y + z + 3xyz) is :

A. 4590
B. 4690
C. 4950
D. 4960
Answer» C. 4950
237.

If x = 93, y = 93, z = 94 then the value of (x y + 10xz + 10yz) is

A. 104784
B. 147840
C. 174840
D. 184740
Answer» D. 184740
238.

If a b = 56 and a b = 2, what is the value of (a + b ) ?

A. 12
B. 20
C. 28
D. 32
Answer» C. 28
239.

If x = a +
1
and y = a
1
, then the value of x4 + y4 2x y is :
aa

A. 4
B. 8
C. 16
D. 64
Answer» D. 64
240.

If
1
+
1
=
1
, then the value of (p q ) is
pqp + q

A. p q
B. pq
C. 1
D. 0
Answer» E.
241.

If a + b = 3, then the value of a + b + 9ab is :

A. 27
B. 9
C. 16
D. 81
Answer» B. 9
242.

If a + b + c = 14 and a + b + c = 6, then the value of (ab + bc + ca) is,

A. 11
B. 12
C. 13
D. 14
Answer» B. 12
243.

.If x, y, z are the three factors of a 7a 6, then value of (x + y + z) will be

A. 3a
B. 3
C. 6
D. a
Answer» B. 3
244.

If x = 11, the value of x

A. 11
B. 10
C. 12
D. 10
Answer» C. 12
245.

If x = y + z then x y z is

A. 0
B. 3xyz
C. 3xyz
D. 1
Answer» C. 3xyz
246.

If 6x 12x + 1 = 0, then the value of 27x +
1
is
8x

A. 162
B. 189
C. 207
D. 225
Answer» C. 207
247.

If x xy + y = 2 and x

A. 1
B. 12
C. 3
D. 36
Answer» D. 36
248.

What is the equation of line parallel to 2x + 3y + 4 = 0 and passing through the point ( 4, 5) ?

A. 2 x + 5y 23 = 0
B. x + 5y = 20
C. 2x 3y 30 = 0
D. 2x + 3y + 23 = 0
Answer» E.
249.

What will be the equation of line which passes through the point ( 2, 3) and parallel to any other line 3x 4y + 2 = 0

A. 3 x 4y + 18 = 0
B. 3x + 4y + 12 = 0
C. x 3y + 10 = 0
D. 2 x + 3y + 6 = 0
Answer» B. 3x + 4y + 12 = 0
250.

The total number of integers between 200 and 400, each of which either begins with 3 or ends with 3 or both, is

A. 10
B. 100
C. 110
D. 120
Answer» D. 120