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.

51.

If a2 = by + cz, b2 = cz + ax, c2 = ax + by, then the value of
x
 +
y
 +
z
 is
a + xb + yc + z
A. 1
B. a + b + c
C. 0
Answer» B. a + b + c
Discussion
52.

If p3 q3 = (p q) {(p + q)2 x p q} then the value of x is

A. 1
B. 1
C. 2
D. 2
Answer» B. 1
Discussion
53.

If a b = 1 and a3 b3 = 61, then the value of ab will be

A. 20
B. 20
C. 30
D. 60
Answer» C. 30
Discussion
54.

If a b = 11 and ab = 24, then the value of (a2 + b2) is

A. 169
B. 37
C. 73
D. 48
Answer» B. 37
Discussion
55.

If k is the largest possible real number such that p4 + q4 = (p2 + kpq + q2)(p2 kpq + q2), then the value of k is

A. 1
B.
C. 2
D.
Answer» E.
Discussion
56.

If p3 q3 = (p q) {(p q)2 + x p q)} then value of x is

A. 1
B. 1
C. 3
D. 2
Answer» D. 2
Discussion
57.

If l + m + n = 9 and l2 + m2 + n2 31, then the value of (lm + mn + nl) will be

A. 22
B. 50
C. 25
D. 25
Answer» D. 25
Discussion
58.

What is the slope between the lines y 3 x 5 = 0 and 3y x + 6 = 0

A. 1
B.
Answer» C.
Discussion
59.

If
a
 +
b
 +
c
 = 1 then
b + cc + aa + b
a2
 +
b2
 +
c2
 = ?
b + cc + aa + b
A. 1
B. 1
C. 0
D. 2
Answer» D. 2
Discussion
60.

If a + b + c = 0, then
2a2
 +
2b2
 +
2c2
 + 3 = ?
b2 + c2 a2c2 + a2 b2a2 + b2 c2
A. 3
B. 4
C. 0
D. 3
Answer» D. 3
Discussion
61.

If a2 + b2 + c2 = 2(2a 3b 5c) 38, find the value of (a b c).

A. 9
B. 10
C. 11
D. 12
Answer» C. 11
Discussion
62.

If (a + b)2 = 100 and (a b) = 4, then ab equals to :

A. 116
B. 84
C. 21
D. 53
Answer» D. 53
Discussion
63.

If
a
 +
b
 +
c
 =
1
 , then the value of
1 2a1 2b1 2c2
1
 +
1
 +
1
 is :
1 2a1 2b1 2c
A. 1
B. 2
C. 3
D. 4
Answer» E.
Discussion
64.

If x = 1 + 2 + 3, then the value of (2x4 8x3 + 26x 28) is

A. 2
B. 3
C. 5
D. 6
Answer» E.
Discussion
65.

If a = 299, b = 298, c = 297 then the value of 2a3 + 2b3 + 2c3 6abc is

A. 5154
B. 5267
C. 5364
D. 5456
Answer» D. 5456
Discussion
66.

If a + b = 1, then a4 + b4 a3 b3 2a2b2 + ab is equal to

A. 1
B. 2
C. 4
D. 0
Answer» E.
Discussion
67.

If a + b = 5 and a b = 3, then the value of (a2 + b2) is :

A. 17
B. 18
C. 19
D. 20
Answer» B. 18
Discussion
68.

The maximum value of 5 + 20x 4x2 , when x is a real number is :

A. 1
B. 5
C. 25
D. 30
Answer» E.
Discussion
69.

If a2 + b2 + c2 = 2a - 2b - 2,then the value of 3a - 2b + c is

A. 0
B. 3
C. 5
D. 2
Answer» D. 2
Discussion
70.

If a = 6 + 5 , b = 6 5 then 2a2 5 ab + 2b2 = ?

A. 38
B. 39
C. 40
D. 41
Answer» C. 40
Discussion
71.

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

A. 0
B. 1
C. 1
D. 2
Answer» D. 2
Discussion
72.

If a, b, c are real numbers and a2 + b2 + c2 = 2 (a b c) 3, then the value of a + b + c is

A. 1
B. 1
C. 3
D. 0
Answer» B. 1
Discussion
73.

If a + b + c + d = 4, then find the value of
1
 +
1
 +
1
 +
1
 .
(1 a)(1 b)(1 c)(1 b)(1 c)(1 d)(1 c)(1 d)(1 a)(1 d)(1 a)(1 b)
A. 0
B. 5
C. 1
D. 4
Answer» B. 5
Discussion
74.

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

A. 989898
B. 988899
C. 999999
D. 998889
Answer» D. 998889
Discussion
75.

9x2 + 25 30x can be expressed as the square of

A. 3x 5
B. 3x + 5
C. 3x 5
D. 3x
E. 25
Answer» D. 3x
Discussion
76.

If a + b = 10 and ab = 21, then the value of (a b)2 is

A. 15
B. 16
C. 17
D. 18
Answer» C. 17
Discussion
77.

If (x 2) (x p) = x2 ax + 6, then the value of (a p) is

A. 0
B. 1
C. 2
D. 3
Answer» D. 3
Discussion
78.

If (a + b 6)2 + a2 + b2 + 1 + 2b = 2ab + 2a, then the value of a is

A. 7
B. 6
C. 3.5
D. 2.5
Answer» D. 2.5
Discussion
79.

If x = 99, then the value of 2(x2 + 3x + 3 ) is equal to

A. 1000001
B. 1000000
C. 999999
D. 9999999
E. None of these
Answer» F.
Discussion
80.

If 9x2 + 16y2 = 60 and 3x + 4y = 6, then the value of xy is

A. 1
B. 1
C. 2
D. 2
Answer» B. 1
Discussion
81.

If (a b) = 3 and (a2 + b2) = 25, then the value of (ab) is

A. 16
B. 8
C. 10
D. 15
Answer» C. 10
Discussion
82.

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

A. 9999
B. 999999
C. 99999
D. 9999999
Answer» C. 99999
Discussion
83.

What is the value of m in the quadratic equation x2 + mx + 24 = 0 if one of its roots is (3/2)

A. 16
Answer» E.
Discussion
84.

If 4x2 12x + k is a perfect square, then the value of k is

A. 2
B. 9
C. 12
D. 10
Answer» C. 12
Discussion
85.

If x2 + y2 + 6x + 5 = 4 (x y) then (x y) is

A. 1
B. 1
C. 0
D. 4
Answer» B. 1
Discussion
86.

If a2 + 1 = a, then the value of a3 is

A. 0
B. 1
C. 1
D. 2
Answer» D. 2
Discussion
87.

If x + y = 3 and x y = 2 , then the value of 8xy (x2 + y2) is :

A. 6
B.
C. 5
D.
Answer» D.
Discussion
88.

If a + b = 17 and a b = 9, then the value of (4a2 + 4b2) is :

A. 710
B. 720
C. 730
D. 740
Answer» E.
Discussion
89.

If
1
 + x2 represents the redius of circle P and
1
 + x = 17,
x2x
which of the following best approximates the circumference of circle P ?

A. 287
B. 547
C. 574
D. 278
Answer» D. 278
Discussion
90.

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

A. 999999
B. 1000000
C. 1000001
D. 999998
Answer» B. 1000000
Discussion
91.

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

A. 2
B. 1
C. 1
D. 2
Answer» C. 1
Discussion
92.

If x = 3
1
 and y = 3 +
1
 , then the value of
x2
 +
y2
 is
3 3yx
A.
B. 3
C. 16
D. 2
Answer» C. 16
Discussion
93.

If a + b = 12, ab = 22, then (a2 + b2) is equal to

A. 188
B. 144
C. 34
D. 100
Answer» E.
Discussion
94.

If X * Y = X2 + Y2 XY then 11 * 13 is

A. 117
B. 147
C. 290
D. 433
Answer» C. 290
Discussion
95.

If x varies inversely as (y2 1) and is equal to 24 when y = 10, then the value of x when y = 5 is

A. 99
B. 12
C. 24
D. 100
Answer» B. 12
Discussion
96.

If (a 3)2 + (b 4)2 + (c 9)2 = 0, then the value of a + b + c is :

A. 4
B. 4
C. 4
D. 2
Answer» D. 2
Discussion
97.

If (3a + 1)2 + (b 1)2 + (2c 3)2 = 0, then the value of (3a + b + 2c) is equal to :

A. 3
B. 1
C. 2
D. 5
Answer» B. 1
Discussion
98.

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

A. 3
B. 4
C. 0
D. 2
Answer» E.
Discussion
99.

If x =
3
, then
1 + x
+
1 x
is equal to
21 + 1 + x1 1 x
A. 1
B. 2 /
C. 2
D. 2
Answer» C. 2
Discussion
100.

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

A. 5
B. 3
C. 3
D. 5
Answer» E.
Discussion