Explore topic-wise MCQs in Aptitude.

This section includes 142 Mcqs, each offering curated multiple-choice questions to sharpen your Aptitude knowledge and support exam preparation. Choose a topic below to get started.

1.

If x2 - 3x + 1 = 0, find the value of x + 1/x,

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

If one of the roots of quadratic equation 7y2 - 50y + k = 0 is 7, then what is the value of k ?

A. 7
B. 1
C. 50/7
D. 7/50
Answer» B. 1
Discussion
3.

If x = (5 + 1)/ (5 - 1), then x2 - x - 1 is equal to

A. 0
B. 1
C. 2
D. 5
Answer» B. 1
Discussion
4.

For what value of k, the equation x2 + 2(k - 4) x + 2k = 0 has equal roots ?

A. 6 and 4
B. 8 and 2
C. 10 and 4
D. 12 and 2
E. None of the above
Answer» C. 10 and 4
Discussion
5.

Consider the equation px2 + qx + r = 0, where p, q, r are real. The roots are equal in magnitude but opposite in sign when :

A. q = 0, r = 0, p 0
B. p = 0, qr 0
C. r = 0, pr 0
D. q = 0, pr 0
Answer» E.
Discussion
6.

Find the value of k so that the sum of the roots of the equation 3x2 + (2x + 1)x - k - 5 = 0 is equal to the product of the roots :

A. 4
B. 6
C. 2
D. 8
Answer» B. 6
Discussion
7.

The roots of the equation 4x - 3 2x 22 + 32 = 0 would include :

A. 1, 2 and 3
B. 1 and 2
C. 1 and 3
D. 2 and 3
Answer» E.
Discussion
8.

If and are the roots of the equation x2 - 3 x + 2 = 0,find if 2 + 2 =74

A. None of these
Answer» B.
Discussion
9.

The value of k for which the roots , of the equation : x2 6x + k = 0 satisfy the relation 3 + 2 = 20, is

A. 8
B. - 8
C. 16
D. - 16
Answer» B. - 8
Discussion
10.

If , are the roots of the equation x2 + kx + 12 = 0 such that = 1, the value of k is

A. 0
B. 5
C. 1
D. 7
Answer» E.
Discussion
11.

The positive value of m for which the roots of the equation 12x2 + mx + 5 = 0 are in the ratio 3 : 2 is :

A. 5
Answer» B.
Discussion
12.

x2 - 365 = 364; y - 324 = 81

A. If x > y
B. If x y
C. If x < y
D. If x y
E. If x = y or relation cannot be established
Answer» E. If x = y or relation cannot be established
Discussion
13.

. 6x2 + 41x + 63 = 0 . 4y2 + 8y + 3 = 0

A. Relationship between x and y cannot be established
B. x y
C. x < y
D. x > y
E. x y
Answer» D. x > y
Discussion
14.

. x2 + 10x + 24 = 0 . 4y2 17y + 18 = 0

A. x y
B. x y
C. Relationship between x and y cannot be established
D. x > y
E. x < y
Answer» F.
Discussion
15.

The roots of the equation 3a2x2 - abx - 2b2 = 0 are

A. None of these
Answer» B.
Discussion
16.

. x2 - 1 = 0 . y2 + 4y + 3 = 0

A. 1
B. 2
C. 3
D. 4
E. 5
Answer» C. 3
Discussion
17.

. x2 7x + 12 = 0 . y2 + y 12 = 0

A. 1
B. 2
C. 3
D. 4
E. 5
Answer» C. 3
Discussion
18.

(4/ x) + (7/ x) = x; y2 - (11)5/2/ y = 0

A. if x > y
B. if x y
C. if x < y
D. if x y
E. If x = y or relation cannot be established
Answer» F.
Discussion
19.

. x4 227 = 398 . y2 + 321 = 346

A. 1
B. 2
C. 3
D. 4
E. 5
Answer» F.
Discussion
20.

. x3 - 371 = 629 . y3 - 543 = 788

A. 1
B. 2
C. 3
D. 4
E. 5
Answer» D. 4
Discussion
21.

. 2x2 + 11x + 12 = 0 . 5y2 + 27y + 10 = 0

A. 1
B. 2
C. 3
D. 4
E. 5
Answer» F.
Discussion
22.

x2 - x - 12 = 0; y2 + 5y + 6 = 0

A. If x > y
B. If x y
C. If x < y
D. If x y
E. If x = y or relation cannot be established
Answer» C. If x < y
Discussion
23.

x2 - 16 = 0 y2 - 9y + 20 = 0

A. if x > y
B. if x y
C. if x < y
D. if x y
E. If x = y or relation cannot be established
Answer» E. If x = y or relation cannot be established
Discussion
24.

x2 - 8x + 15 = 0 ; y2 - 3y + 2 = 0

A. If x > y
B. If x y
C. If x < y
D. If x y
E. If x = y or relation cannot be established
Answer» B. If x y
Discussion
25.

The difference in the roots of the equation 2x2 - 11x + 5 = 0 is

A. 4.5
B. 4
C. 3.5
D. 3
Answer» B. 4
Discussion
26.

x2 - 32 = 112; y - 169 = 0

A. If x > y
B. If x y
C. If x < y
D. If x y
E. If x = y or relation cannot be established
Answer» F.
Discussion
27.

3x2 + 8x + 4 = 0; 4y2 - 19y + 12 = 0

A. If x > y
B. If x y
C. If x < y
D. If x y
E. If x = y or relation cannot be established
Answer» D. If x y
Discussion
28.

. 3x2 20x 32 = 0 . 2y2 3y 20 = 0

A. x < y
B. x y
C. x > y
D. Relationship between x and y cannot be established
E. x y
Answer» E. x y
Discussion
29.

If p and q are the roots of the equation x2 + px + q = 0, then

A. p = 1 and q = -2
B. p = 0 and q = 1
C. p = -2 and q = 0
D. p = -2 and q = 1
Answer» B. p = 0 and q = 1
Discussion
30.

The values of p for which the difference between the roots of the equation x2 + px + 8 = 0 is 2 , are

A. 2
B. 4
C. 6
D. 8
E. 10
Answer» D. 8
Discussion
31.

Number of solution of the equation x2 - x + 1 + 1/ x2 - x + 1 = 2 - x2 is

A. 0
B. 1
C. 2
D. 4
Answer» C. 2
Discussion
32.

If one root of the quadratic equation 2x2 + Px + 4 = 0 is 2, find the second root and value of P.

A. 1, - 6
B. 1, 6
C. 1, 6
D. 1, 6
Answer» B. 1, 6
Discussion
33.

x2 + x - 20 = 0y2 - y - 30 = 0

A. If x > y
B. If x y
C. If x < y
D. If x y
E. If x = y or relation cannot be established
Answer» E. If x = y or relation cannot be established
Discussion
34.

. x2 19x + 84 = 0 . y2 25y + 156 = 0

A. 1
B. 2
C. 3
D. 4
E. 5
Answer» E. 5
Discussion
35.

225x2 - 4 = 0; 225y + 2 = 0

A. If x > y
B. If x y
C. If x < y
D. If x y
E. If x = y or relation cannot be established
Answer» F.
Discussion
36.

. x2 20x + 91= 0 . y2 32y + 247= 0

A. x > y
B. Relationship between x and y cannot be established
C. x y
D. x y
E. x < y
Answer» E. x < y
Discussion
37.

.9 + 19= x x x . y5 -( 2 14 )11/2= 0 y

A. 1
B. 2
C. 3
D. 4
E. 5
Answer» F.
Discussion
38.

x - 121 = 0y2 - 121 = 0

A. If x > y
B. If x y
C. If x < y
D. If x y
E. If x = y or relation cannot be established
Answer» F.
Discussion
39.

. 784x + 1234 = 1486 . 1089y + 2081 = 2345

A. 1
B. 2
C. 3
D. 4
E. 5
Answer» B. 2
Discussion
40.

. 12 - 23= 5 x x x . y - 5 y= 11212 y

A. 1
B. 2
C. 3
D. 4
E. 5
Answer» B. 2
Discussion
41.

. x3 468 = 1729 . y2 1733 + 1564 = 0

A. 1
B. 2
C. 3
D. 4
E. 5
Answer» C. 3
Discussion
42.

Two students A and B solve an equation of the from x2 + px + q = 0. A starts with a wrong value of p and obtains the roots as 2 and 6. B starts with a wrong value of q and gets the roots as 2 and -9. What are the correct roots of the equation ?

A. 3 and - 4
B. - 3 and - 4
C. - 3 and 4
D. 3 and 4
Answer» C. - 3 and 4
Discussion
43.

If and are the roots of the equation 8x2 - 3x + 27 = 0, find the value of ( 2/ )1/3 + ( 2/ )1/3

A. 1/3
B. 1/4
C. 7/2
D. 4
E. 9/2
Answer» C. 7/2
Discussion
44.

. 24x2 + 38x + 15 = 0 .12y2 + 28y + 15 = 0

A. x y
B. x > y
C. x y
D. x < y
E. x = y, or Relationship between x and y cannot be established
Answer» D. x < y
Discussion
45.

. x2 -24x + 144 = 0 . y2 26y + 169 = 0

A. 1
B. 2
C. 3
D. 4
E. 5
Answer» B. 2
Discussion
46.

If a and b are the roots of the equation x2 - 6x + 6 = 0, find the value of 2(a2 + b2).

A. 40
B. 42
C. 48
D. 46
E. None of the above
Answer» D. 46
Discussion
47.

If x2 = 6 + 6 + 6 + 6 + .... , then what is one of the value of x equal to ?

A. 6
B. 5
C. 4
D. 3
Answer» E.
Discussion
48.

. 2x2 + 3x 20 = 0 . 2y2 + 19y + 44 = 0

A. 1
B. 2
C. 3
D. 4
E. 5
Answer» E. 5
Discussion
49.

. 10x2 7x + 1 = 0 . 35y2 -12y + 1 = 0

A. 1
B. 2
C. 3
D. 4
E. 5
Answer» E. 5
Discussion
50.

. 6x2 + 77x + 121 = 0 . y2 + 9y 22 = 0

A. 1
B. 2
C. 3
D. 4
E. 5
Answer» F.
Discussion