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.

51.

. x2 6x = 7 . 2y2 + 13y + 15 = 0

A. 1
B. 2
C. 3
D. 4
E. 5
Answer» C. 3
Discussion
52.

. 16x2 + 20x + 6 = 0 . 10y2 + 38y + 24 = 0

A. 1
B. 2
C. 3
D. 4
E. 5
Answer» C. 3
Discussion
53.

. 18x2 + 18x + 4 = 0 . 12y2 + 29y + 14 =0

A. 1
B. 2
C. 3
D. 4
E. 5
Answer» E. 5
Discussion
54.

. 4x + 7y = 209 . 12x 14y = 38

A. 1
B. 2
C. 3
D. 4
E. 5
Answer» F.
Discussion
55.

. 17x2 + 48x = 9 . 13y2 = 32y 12

A. 1
B. 2
C. 3
D. 4
E. 5
Answer» B. 2
Discussion
56.

6 + 6 + 6 +........ is equal to

A. 2
B. 5
C. 4
D. 3
Answer» E.
Discussion
57.

Determine p so that the equation x 2 + 5px + 16 = 0 has on real root.

A. None of these
Answer» C.
Discussion
58.

.2 4-3 4= x10/7x4/7x4/7 . y3 + 783 = 999

A. 1
B. 2
C. 3
D. 4
E. 5
Answer» E. 5
Discussion
59.

. x3 13 = x2 247 . y1/3 14 = 294 y2/3

A. 1
B. 2
C. 3
D. 4
E. 5
Answer» D. 4
Discussion
60.

. x2 11x + 24 = 0 . 2y2 9y + 9 = 0

A. 1
B. 2
C. 3
D. 4
E. 5
Answer» C. 3
Discussion
61.

. ( 17 )2 + 144 18 = x . ( 26 )2 - 18 21 = y

A. 1
B. 2
C. 3
D. 4
E. 5
Answer» D. 4
Discussion
62.

. 500x + 402 = 0 . 360y + ( 200 )1/2 = 0

A. 1
B. 2
C. 3
D. 4
E. 5
Answer» D. 4
Discussion
63.

In the following determine the set of value of P for which the given quadratic equation has real roots. Px2 + 4x + 1 = 0

A. P 4
B. P > 4
C. P 4
D. P 4
Answer» D. P 4
Discussion
64.

The roots of the equation 7x2 - 6x - 13 7 = 0 are

A.
B. None of these
Answer» D.
Discussion
65.

With respect to the roots of x2 - x - 2 = 0, we can say that :

A. both of them are natural numbers
B. both of them are integers
C. the latter of the two is negative
D. None of these
Answer» C. the latter of the two is negative
Discussion
66.

If , are the roots of the quadratic equation x2 - 8x + k = 0, find the value of k such the 2 + 2 = 40

A. 12
B. 14
C. 10
D. 16
Answer» B. 14
Discussion
67.

. x2 4 = 0 . y2 + 6y + 9 = 0

A. 1
B. 2
C. 3
D. 4
E. 5
Answer» B. 2
Discussion
68.

. x2 = 729 . y = 729

A. 1
B. 2
C. 3
D. 4
E. 5
Answer» E. 5
Discussion
69.

. x2 - 7x + 12 = 0 . y2 - 12y + 32 = 0

A. 1
B. 2
C. 3
D. 4
E. 5
Answer» E. 5
Discussion
70.

. 2x2 + 11x + 14 = 0 . 4y2 + 12y + 9 = 0

A. 1
B. 2
C. 3
D. 4
E. 5
Answer» D. 4
Discussion
71.

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
72.

Find the value of 30 + 30 + 30 +........

A. 5
B. 3
C. 6
D. 7
Answer» D. 7
Discussion
73.

. 5x + 2y = 31 . 3x + 7y = 36

A. 1
B. 2
C. 3
D. 4
E. 5
Answer» B. 2
Discussion
74.

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

A. None of these
Answer» C.
Discussion
75.

If and are the roots of the quadratic equation ax 2 + bx + c = 0, the value of 3 + 3 is

A. None of these
Answer» C.
Discussion
76.

Divide 16 into 2 parts such the twice the square of the larger part exceeds the square of the smaller part by 164.

A. 10, 6
B. 8, 8
C. 12, 4
D. None of these
Answer» B. 8, 8
Discussion
77.

. 4x + 7y = 209 . 12x 14y = 38

A. 1
B. 2
C. 3
D. 4
E. 5
Answer» F.
Discussion
78.

. 8x2 + 6x = 5 . 12y2 22y + 8 = 0

A. 1
B. 2
C. 3
D. 4
E. 5
Answer» D. 4
Discussion
79.

If 2x2 - 7xy + 3y2 = 0, then the value of x : y is

A. 3 : 2
B. 2 : 3
C. 3 : 1 and 1 : 2
D. 5 : 6
E. None of the above
Answer» D. 5 : 6
Discussion
80.

If one roots of the equation x2/a = x/b + 1/c = 0 is reciprocal of the other, then which one of the following is correct ?

A. a = b
B. b = c
C. ac = 1
D. a = c
Answer» E.
Discussion
81.

. 18x2 + 18x + 4 = 0 . 12y2 + 29y + l4 = 0

A. 1
B. 2
C. 3
D. 4
E. 5
Answer» E. 5
Discussion
82.

One root of the quadratic equation x2 - 5x + 6 = 0 is 3. Find the other root.

A. 2
B. 2
C. 1
D. 1
Answer» B. 2
Discussion
83.

If log10 ( x2 - 6x + 45 ) = 2, then the values of x are

A. 6, 9
B. 9, 5
C. 10, 5
D. 11, 5
Answer» E.
Discussion
84.

If the equations x2 + 2x - 3 = 0 and x2 + 3x - k = 0 have a common root, then the non - zero value of k is :

A. 1
B. 2
C. 3
D. 4
Answer» E.
Discussion
85.

. 16x2 + 20x + 6 = 0 .10y2 + 38y + 24 = 0

A. 1
B. 2
C. 3
D. 4
E. 5
Answer» C. 3
Discussion
86.

. 17x2 + 48x = 9 .13y2 = 32y 12

A. 1
B. 2
C. 3
D. 4
E. 5
Answer» B. 2
Discussion
87.

The expression x2 x + 1 has :

A. one proper linear factor
B. two proper linear factors
C. no proper linear factor
D. None of these
Answer» D. None of these
Discussion
88.

The length of a rectangular plot is 8 m greater than its breadth. If the area of the plot is 308 m2, find the length of the plot.

A. 22 m
B. 18 m
C. 20 m
D. None of these
Answer» D. None of these
Discussion
89.

Find 2 consecutive positive odd integers whose squares have the sum 290.

A. 11, 13
B. 13, 15
C. 9, 11
D. None of these
Answer» B. 13, 15
Discussion
90.

x = 3a solution of the equation 3x2 + (k 1)x + 9 = 0 if k has value

A. 13
B. 13
C. 11
D. 11
Answer» E.
Discussion
91.

The common root of the equations x2 - 7x + 10 = 0 and x2 - 10x + 16 = 0 is :

A. - 2
B. 3
C. 5
D. 2
Answer» E.
Discussion
92.

The sum of the squares of 2 natural consecutive odd numbers is 394. The sum of the numbers is :

A. 24
B. 32
C. 40
D. 28
Answer» E.
Discussion
93.

The roots of the equation ax2 + bx + c = 0 will be reciprocal if

A. a = b
B. b = c
C. c = a
D. None of these
Answer» D. None of these
Discussion
94.

Find the roots of the equation 2x2 - 9x - 18 = 0.

A. 3/2 and 6
B. -3/2 and - 6
C. -3/2 and 6
D. 3/2 and -6
E. None of the above
Answer» D. 3/2 and -6
Discussion
95.

If one root of x2 - 6kx + 5 = 0 is 5, find the value of k.

A. -1/2
B. -1
C. 1
D. 2
Answer» D. 2
Discussion
96.

Find the roots of the equation 2x2 - 11x + 15 = 0

A. 3 and 5/2
B. -3 and -5/2
C. 5 and 3/2
D. -5 and -3/2
Answer» B. -3 and -5/2
Discussion
97.

If one root of x

A. -1/2
B. -1
C. 1
D. 2
Answer» D. 2
Discussion
98.

(4/

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
99.

Mr. Arjun is on tour and he has 360 for his expenses. If he exceeds his tour by 4 days, he must cut down his daily expenses by 3. For how many days is Mr. Arjun out on tour ?

A. 40
B. 20
C. 60
D. 15
E. None of the above
Answer» C. 60
Discussion
100.

The roots of x + 4 + x - 4 = 10 are :x - 4 x + 4 3

A. 4
B. 6
C. 8
D. 2
E. <span style=" text-decoration: overline;">3</span>
Answer» D. 2
Discussion