Explore topic-wise MCQs in Aptitude.

This section includes 79 Mcqs, each offering curated multiple-choice questions to sharpen your Aptitude knowledge and support exam preparation. Choose a topic below to get started.

1.

Find the remainder when f(x) = x4 - 6x3 + 2x2 + 3x + 1 is divided by (x - 2) ?

A. -12
B. 12
C. 17
D. -17
Answer» E.
Discussion
2.

Area of the triangle formed by the graph of the line 2x 3y + 6 = 0 along with the coordinate axes is:

A. 3 sq. units
B. 6 sq. units
Answer» D.
Discussion
3.

The degree of polynomial p(x) = x3 + 1 + 2x = 6x + 1/x is ?

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

If the distance between two points (0, 5) and (x,0) is 13 unit, then x =

A. 10
B. 10
C. 12
D. 12
Answer» D. 12
Discussion
5.

If x = 997, y = 998, z = 999, then the value of x2 + y 2 + z 2 xy yz zx will be

A. 3
B. 9
C. 16
D. 4
Answer» B. 9
Discussion
6.

If a + b + 1 = 0, then the value of (a3 + b3 + 1 3ab) is

A. 3
B. 0
C. 1
D. 1
Answer» C. 1
Discussion
7.

Area of the trapezium formed by x-axis; y-axis and the lines 3x + 4y = 12 and 6x + 8y = 60 is:

A. 37.5 sq. unit
B. 31.5 sq. unit
C. 48 sq. unit
D. 36.5 sq. unit
Answer» C. 48 sq. unit
Discussion
8.

In the xy coordinate system, if (a, b) and (a + 3, b + k) are two points on the line defined by the equation x = 3y 7, then k =?

A. 1
B. 9
C. 3
Answer» C. 3
Discussion
9.

If a =
3 - 2
, b =
3 + 2
, then the value of
3 + 2 3 - 2
a2
+
b2
 is :
ba
A. 900
B. 970
C. 1030
D. 930
Answer» C. 1030
Discussion
10.

If ax + by = 6, bx ay = 2 and x2 + y2 = 4, then the value of (a2 + b2) would be :

A. 10
B. 2
C. 4
D. 5
Answer» B. 2
Discussion
11.

In xy plane, P and Q are two points having co ordinates (2, 0) and (5, 4) respectively. Then the numerical value of the area of the circle with radius PQ is

A. 16
B. 32
C. 14
D. 25
Answer» E.
Discussion
12.

The area of the triangle formed by the lines 5x + 7y = 35, 4x + 3y = 12 and x-axis is

A. 10 sq.unit
Answer» B.
Discussion
13.

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

A. a + b + c
B. 0
C. 4 (a + b + c)
D. 3 abc
Answer» C. 4 (a + b + c)
Discussion
14.

If x = a +
1
, y = a -
1
, then the value of
a
 a
x4 + y4 - 2x2 y2 is

A. 16
B. 20
C. 10
D. 5
Answer» B. 20
Discussion
15.

The area (in sq. unit) of the triangle formed by the three graphs of the equations x = 4, y = 3, and 3x + 4y = 12, is

A. 12
B. 10
C. 6
D. 8
Answer» D. 8
Discussion
16.

If a2 + b2 + c2 = 2 (a b c) 3 then the value of 2a 3b + 4c is

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

If a + b + c = 8, then the value of (a 4)3 + (b 3)3 + (c 1)3 3 (a 4) (b 3) (c 1) is

A. 2
B. 4
C. 1
D. 0
Answer» E.
Discussion
18.

If x = 1 + 2 + 3, then the value of (2x4 8x3 5x2 + 26x 28) is

A. 6
B. 0
C. 3
D. 2
Answer» B. 0
Discussion
19.

If the polynomials ax3 + 4x2 -3x - 4 and x3 - 4x + a leave the same remainder when divided by (x - 3). Then, what is the value of a ?

A. 2
B. -1
C. 3
D. 4
Answer» C. 3
Discussion
20.

The sum of two numbers is 24 and their product is 143. The sum of their squares is

A. 296
B. 295
C. 290
D. 228
Answer» D. 228
Discussion
21.

The degree f polynomial p(x) = x3 + 1 + 2x = 6x + 1/x is ?

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

If x = 1 + 2, then what is the value of x4 - 4x3 + 4x2 ?

A. -1
B. 0
C. 1
D. 2
Answer» D. 2
Discussion
23.

What is the solution of the equations x - y = 0.9 and 11(x + y)-1 = 2 ?

A. x = 3.2, y = 2.3
B. x = 1, y = 0.1
C. x = 2, y = 1.1
D. x = 1.2, y = 0.3
Answer» B. x = 1, y = 0.1
Discussion
24.

In a two-digit number, the digit at the unit's place is 1 less than twice the digit at the ten s place. If the digits at unit s and ten s place are interchanged, the difference between the new and the original number is less than the original number by 20. The original number is

A. 47
B. 59
C. 23
D. 35
Answer» B. 59
Discussion
25.

If the square of the sum of two numbers is equal to 4 times of their product. then the ratio of these numbers is:

A. 2 : 1
B. 1 : 3
C. 1 : 1
D. 1 : 2
Answer» D. 1 : 2
Discussion
26.

A man buys 3 cows and 18 goats in 47,200. Instead if he would have bought 8 cows and 3 goats, he had to pay 53,000 more. Cost of one cow is:

A. 10,000
B. 11,000
C. 12,000
D. 13,000
Answer» D. 13,000
Discussion
27.

If P = (0.08)2, Q = 1/(0.08)2 and R = (1 0.08)2 1, then out of the following the true relation is

A. Q < P and P = R
B. P < Q and P = R
C. Q < R < P
D. R < P < Q
Answer» E.
Discussion
28.

If a3 b3 = 56 and a b = 2, then the value of ( a2 + b2 ) is :

A. 10
B. 12
C. 20
D. 18
Answer» D. 18
Discussion
29.

If x = 2 + 3, then the value of x +
1
 is :
x
A.
B.
C. 2
D. 6
Answer» C. 2
Discussion
30.

If a, b, c are real and a3 + b3 + c3 = 3abc and a + b + c 0 , then the relation between a, b, c will be

A. a + b = c
B. a + c = b
C. a = b = c
D. b + c = a
Answer» D. b + c = a
Discussion
31.

The line passing through the points ( 2, 8) and (5, 7)

A. does not cut any axes
B. cuts x- axis only
C. cuts y - axis only
D. cuts both the axes
Answer» D. cuts both the axes
Discussion
32.

If the difference of two numbers is 3 and the difference of their squares is 39; then the larger number is:

A. 9
B. 12
C. 13
D. 8
Answer» E.
Discussion
33.

Let a = 6 - 5, b = 5 - 2, c = 2 - 3 Then point out the correct alternative among the four alternatives given below.

A. a < b < c
B. b < a < c
C. a < c < b
D. b < c < a;
Answer» B. b < a < c
Discussion
34.

If a2 + b2 + c2 = 2 (a b c) 3, then the value of 2a 3b + 4c is

A. 1
B. 7
C. 2
D. 3
Answer» B. 7
Discussion
35.

If x =
4ab
, then the value of
x + 2a
+
x + 2b
is
a + bx - 2a
x - 2b
A. a
B. b
C. 0
D. 2
Answer» E.
Discussion
36.

The area of the triangle formed by the lines

A. <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>160</center></td><td rowspan="2">sq.unit </td></tr><tr><td align="center">13</td></tr></table>
B. <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>150</center></td><td rowspan="2">sq.unit </td></tr><tr><td align="center">13</td></tr></table>
C. <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>140</center></td><td rowspan="2">sq.unit </td></tr><tr><td align="center">13</td></tr></table>
D. 10 sq.unit
Answer» B. <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>150</center></td><td rowspan="2">sq.unit </td></tr><tr><td align="center">13</td></tr></table>
Discussion
37.

If x = a +
1
, y = a -
1
, then the value of
a
 a
A. 16
B. 20
C. 10
D. 5
Answer» B. 20
Discussion
38.

The area (in sq. unit) of the triangle formed by the three graphs of the equations

A. 12
B. 10
C. 6
D. 8
Answer» D. 8
Discussion
39.

If x = 2 + 3, y = 2 - 3, then the value of
x2 + y2
is
x3 + y3
A. <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>7</center></td></tr><tr><td align="center">38</td></tr></table>
B. <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>7</center></td></tr><tr><td align="center">40</td></tr></table>
C. <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>7</center></td></tr><tr><td align="center">19</td></tr></table>
D. <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>7</center></td></tr><tr><td align="center">26</td></tr></table>
Answer» E.
Discussion
40.

In the

A. <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>7</center></td></tr><tr><td align="center">3</td></tr></table>
B. 1
C. 9
D. 3
Answer» C. 9
Discussion
41.

If a =
3 - 2
, b =
3 + 2
, then the value of
3 + 2 3 - 2
A. 900
B. 970
C. 1030
D. 930
Answer» C. 1030
Discussion
42.

Area of the trapezium formed by x-axis; y-axis and the lines

A. 37.5 sq. unit
B. 31.5 sq. unit
C. 48 sq. unit
D. 36.5 sq. unit
Answer» C. 48 sq. unit
Discussion
43.

Minimum value of x2 +
1
- 3 is
x2 + 1

A. - 3
B. - 2
C. 0
D. - 1
Answer» C. 0
Discussion
44.

If 2x -
1
 = 6, then the value of x2 +
1
is
2x16x2
A. <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>19</center></td></tr><tr><td align="center">2</td></tr></table>
B. <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>17</center></td></tr><tr><td align="center">2</td></tr></table>
C. <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>18</center></td></tr><tr><td align="center">2</td></tr></table>
D. <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>15</center></td></tr><tr><td align="center">2</td></tr></table>
Answer» B. <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>17</center></td></tr><tr><td align="center">2</td></tr></table>
Discussion
45.

The shaded region represents

A. y x
B. y x
C. y x
D. y x
Answer» B. y x
Discussion
46.

If a +
1
 = 1, then the value of a3 is :
a
A. 2
B. 2
C. 1
D. 4
Answer» D. 4
Discussion
47.

If the cost of 2 apples, 3 oranges and a pear is Rs.62 and the cost of 5 apples, 6 oranges and 4 pears is Rs. 120, then find the cost of 3 apples, 3 oranges and 3 pears ?

A. Rs. 39
B. Rs. 46
C. Rs. 58
D. Rs. 24
Answer» D. Rs. 24
Discussion
48.

If a + b + 1 = 0, then the value of (a

A. 3
B. 0
C. 1
D. 1
Answer» C. 1
Discussion
49.

A sum of Rs. 13.50 is made by 38 coins which are either 50 paise or 25 paise. Find the number of 25 paise coins ?

A. 16
B. 24
C. 18
D. 22
Answer» E.
Discussion
50.

Area of the triangle formed by the graph of the

A. <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>1</center></td><td rowspan="2">sq. units </td></tr><tr><td align="center">2</td></tr></table>
B. <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>3</center></td><td rowspan="2">sq. units </td></tr><tr><td align="center">2</td></tr></table>
C. 3 sq. units
D. 6 sq. units
Answer» D. 6 sq. units
Discussion