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.

501.

If x + 3 = 1 then the value of x3 is 3x

A. 1
B. 27
C. 0
D. 27
Answer» E.
Discussion
502.

The reciprocal of x + 1 is x

A. <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>x</center></td></tr><tr><td style="text-align: center;">x<sup>2</sup> + 1</td></tr></table>
B. <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>x</center></td></tr><tr><td style="text-align: center;">x + 1</td></tr></table>
C. <table><tr><td rowspan="2"> x </td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>1</center></td></tr><tr><td style="text-align: center;">x</td></tr></table>
D. <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>1</center></td><td rowspan="2"> + x</td></tr><tr><td style="text-align: center;">x</td></tr></table>
Answer» C. <table><tr><td rowspan="2"> x </td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>1</center></td></tr><tr><td style="text-align: center;">x</td></tr></table>
Discussion
503.

If a + b = 1, c + d = 1 and a b =d , then the value of c2 d2 isc

A. <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>a</center></td></tr><tr><td style="text-align: center;">b</td></tr></table>
B. <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>b</center></td></tr><tr><td style="text-align: center;">a</td></tr></table>
C. 1
D. 1
Answer» C. 1
Discussion
504.

If b c + a + c + a b = 1 and a b + c 0 abc

A. <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>1</center></td><td rowspan="2"> = </td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>1</center></td><td rowspan="2"> + </td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>1</center></td></tr><tr><td style="text-align: center;">c</td><td style="text-align: center;">a</td><td style="text-align: center;">b</td></tr></table>
B. <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>1</center></td><td rowspan="2"> = </td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>1</center></td><td rowspan="2"> + </td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>1</center></td></tr><tr><td style="text-align: center;">a</td><td style="text-align: center;">b</td><td style="text-align: center;">c</td></tr></table>
C. <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>1</center></td><td rowspan="2"> = </td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>1</center></td><td rowspan="2"> </td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>1</center></td></tr><tr><td style="text-align: center;">b</td><td style="text-align: center;">a</td><td style="text-align: center;">c</td></tr></table>
D. <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>1</center></td><td rowspan="2"> = </td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>1</center></td><td rowspan="2"> + </td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>1</center></td></tr><tr><td style="text-align: center;">b</td><td style="text-align: center;">a</td><td style="text-align: center;">c</td></tr></table>
Answer» D. <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>1</center></td><td rowspan="2"> = </td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>1</center></td><td rowspan="2"> + </td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>1</center></td></tr><tr><td style="text-align: center;">b</td><td style="text-align: center;">a</td><td style="text-align: center;">c</td></tr></table>
Discussion
505.

For what valsue (s) of k the expression p + 1 p + k2 4

A. <table><tr><td rowspan="2"> </td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>1</center></td></tr><tr><td style="text-align: center;">3</td></tr></table>
B. <table><tr><td rowspan="2"> </td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>1</center></td></tr><tr><td style="text-align: center;">4</td></tr></table>
C. <table><tr><td rowspan="2"> </td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>1</center></td></tr><tr><td style="text-align: center;">8</td></tr></table>
D. <table><tr><td rowspan="2"> </td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>1</center></td></tr><tr><td style="text-align: center;">2</td></tr></table>
Answer» D. <table><tr><td rowspan="2"> </td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>1</center></td></tr><tr><td style="text-align: center;">2</td></tr></table>
Discussion
506.

If x 0, y 0 and z 0 and1 + 1 + 1 + 1 + 1 + 1 + 1,x2y2z216xyyzzx

A. x + y + z = 0
B. x + y = z
C. <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>1</center></td><td rowspan="2"> + </td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>1</center></td><td rowspan="2"> + </td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>1</center></td><td rowspan="2"> = 0</td></tr><tr><td style="text-align: center;">x</td><td style="text-align: center;">y</td><td style="text-align: center;">z</td></tr></table>
D. x = y = z
Answer» E.
Discussion
507.

Number of solutions of the two equations 4x y = 2 and 2y 8x + 4 = 0 is

A. zero
B. one
C. two
D. infinitely many
Answer» E.
Discussion
508.

If (2 + 3) = b (2 3)b = 1, then the value of 1 + 1 isab

A. 1
B. 2
C. 2
D. <span style=" text-decoration: overline;">3</span>
E. 4
Answer» E. 4
Discussion
509.

If a (2 + 3) = b (2 3) = 1, then the value of 1 + 1 isa2 + 1b2 + 1

A. 5
B. 1
C. 4
D. 9
Answer» C. 4
Discussion
510.

If a, b, c are positive and a + b + c = 1, then the least value of 1 + 1 + 1 isabc

A. 9
B. 5
C. 3
D. 1
Answer» B. 5
Discussion
511.

If a + b + c = 3, a2 + b2 + c2 = 6 and 1 + 1 + 1 = 1, where a, b, c are all non-zero, then abc is equal to abc

A. <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>2</center></td></tr><tr><td style="text-align: center;">3</td></tr></table>
B. <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>3</center></td></tr><tr><td style="text-align: center;">2</td></tr></table>
C. <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>1</center></td></tr><tr><td style="text-align: center;">2</td></tr></table>
D. <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>1</center></td></tr><tr><td style="text-align: center;">3</td></tr></table>
Answer» C. <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>1</center></td></tr><tr><td style="text-align: center;">2</td></tr></table>
Discussion
512.

If a + b + c + d = 4, then find the value of

A. 0
B. 5
C. 1
D. 4
Answer» B. 5
Discussion
513.

If a, b, c are real numbers and a

A. 1
B. 1
C. 3
D. 0
Answer» B. 1
Discussion
514.

If 2x = a + 1 , a &gt; 0, then the value ofx is ax x2 1

A. a + 1
B. <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>1</center></td><td rowspan="2">(a + 1)</td></tr><tr><td style="text-align: center;">2</td></tr></table>
C. <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>1</center></td><td rowspan="2">(a 1)</td></tr><tr><td style="text-align: center;">2</td></tr></table>
D. a 1
Answer» D. a 1
Discussion
515.

If 1 + 27 = 1 + x, then x equals16913

A. 1
B. 27
C. 13
D. 3
E. <span style=" text-decoration: overline;">3</span>
Answer» B. 27
Discussion
516.

If 2s = a + b + c, then the value of s(s c) + (s a) (s b) is

A. ab
B. abc
C. 0
D. <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>a + b + c</center></td></tr><tr><td style="text-align: center;">2</td></tr></table>
Answer» B. abc
Discussion
517.

If 3 5x + 3 5y + 3 5z = 0, the value of2 + 2 + 2 is 2x2y2zxyz

A. 20
B. 5
C. 10
D. 15
Answer» D. 15
Discussion
518.

If x is a prime number and 1 2x 7 1 then the number of values of x is5

A. 4
B. 3
C. 2
D. 5
Answer» E.
Discussion
519.

If x = 2 + 3 , then x2 + 1 is equal to x2

A. 10
B. 12
C. 12
D. 14
Answer» E.
Discussion
520.

If a2 4a 1 = 0, a 0, then the value of a2 + 3a + 1 3 is a2a

A. 24
B. 26
C. 28
D. 30
Answer» E.
Discussion
521.

If a = x + 2 + x 2 , then the value of (a2 ax) is x + 2 x 2

A. 1
B. 2
C. 1
D. 0
Answer» D. 0
Discussion
522.

If 999x + 888y = 1332 888x + 999y = 555, then the value of x + y is

A. 888
B. 555
C. 1
D. 999
Answer» D. 999
Discussion
523.

If x = 5 3 and y = 5 + 3 then the value of x2 + xy + y2 = ? 5 + 3 5 3x2 xy + y2

A. <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>63</center></td></tr><tr><td style="text-align: center;">61</td></tr></table>
B. <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>67</center></td></tr><tr><td style="text-align: center;">65</td></tr></table>
C. <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>65</center></td></tr><tr><td style="text-align: center;">63</td></tr></table>
D. <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>69</center></td></tr><tr><td style="text-align: center;">67</td></tr></table>
Answer» B. <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>67</center></td></tr><tr><td style="text-align: center;">65</td></tr></table>
Discussion
524.

If x + 1 = 1 then the value ofx2 + 3x + 1 is xx2 + 7x + 1

A. 1
B. <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>3</center></td></tr><tr><td style="text-align: center;">7</td></tr></table>
C. <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>1</center></td></tr><tr><td style="text-align: center;">2</td></tr></table>
D. 2
Answer» D. 2
Discussion
525.

If p = 99 then, the value of p(p

A. 989898
B. 988899
C. 999999
D. 998889
Answer» D. 998889
Discussion
526.

If x = 1 , y = 1 , then the value of 8xy (x2 + y2) is2 + 32 3

A. 196
B. 290
C. 112
D. 194
Answer» D. 194
Discussion
527.

Find the value of x for which the expression 2 3x 4x

A. <table><tr><td rowspan="2"> </td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>41</center></td></tr><tr><td style="text-align: center;">16</td></tr></table>
B. <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>3</center></td></tr><tr><td style="text-align: center;">8</td></tr></table>
C. <table><tr><td rowspan="2"> </td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>3</center></td></tr><tr><td style="text-align: center;">8</td></tr></table>
D. <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>41</center></td></tr><tr><td style="text-align: center;">16</td></tr></table>
Answer» D. <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>41</center></td></tr><tr><td style="text-align: center;">16</td></tr></table>
Discussion
528.

If x2 + 1 x + a2 is a perfect square, then a is5

A. <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>1</center></td></tr><tr><td style="text-align: center;">100</td></tr></table>
B. <table><tr><td rowspan="2"> </td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>1</center></td></tr><tr><td style="text-align: center;">10</td></tr></table>
C. <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>1</center></td></tr><tr><td style="text-align: center;">10</td></tr></table>
D. <table><tr><td rowspan="2"> </td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>1</center></td></tr><tr><td style="text-align: center;">10</td></tr></table>
Answer» D. <table><tr><td rowspan="2"> </td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>1</center></td></tr><tr><td style="text-align: center;">10</td></tr></table>
Discussion
529.

For real a, b, c if a2 + b2 + c2 = ab + bc + ca, the value ofa + c is b

A. 3
B. 1
C. 2
D. 0
Answer» D. 0
Discussion
530.

If a + 1 = b + 1 = c + 1 , where a b c 0, then the value of a2b2c2bca

A. 1
B. abc
C. 0
D. 1
Answer» E.
Discussion
531.

Let x = 13 + 11 and y =1 then the value of 3x2 5xy + 3y2 is 13 11x

A. 1717
B. 1177
C. 1771
D. 1171
Answer» B. 1177
Discussion
532.

If x = a b , y =b c , z = c a , then(1 x)(1 y)(1 z)is equal to a + bb + cc + a(1 + x)(1 + y)(1 + z)

A. 1
B. 0
C. 2
D. <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>1</center></td></tr><tr><td style="text-align: center;">2</td></tr></table>
Answer» B. 0
Discussion
533.

If x + 1 = 1 then the value of2 = ? xx2 x + 2

A. 2
B. 4
C. <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>2</center></td></tr><tr><td style="text-align: center;">3</td></tr></table>
D. 1
Answer» B. 4
Discussion
534.

If bc + ab + ca = abc, then the value of b + c + a + c + a + b = 1, then the value of a2 + b2 + c2 is a2 + bcb2 + cac2 + aba2 + bcb2 + acc2 + ab

A. 0
B. 1
C. 1
D. 2
Answer» E.
Discussion
535.

If bc + ab + ca = abc, then the value of b + c + a + c + a + b is bc(a 1)ac(b 1)ab(c 1)

A. 0
B. <table><tr><td rowspan="2"> </td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>1</center></td></tr><tr><td style="text-align: center;">2</td></tr></table>
C.
D. <table><tr><td rowspan="2"> </td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>3</center></td></tr><tr><td style="text-align: center;">2</td></tr></table>
E. 1
Answer» E. 1
Discussion
536.

If a + b c = b + c a = c + a b and a + b + c 0, then a + bb + cc + a

A. a b c
B. a = b = c
C. a = b c
D. a b = c
Answer» C. a = b c
Discussion
537.

If x = 3t, y =1 (t + 1), then the value of t for which x = 2y is2

A. 1
B. <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>1</center></td></tr><tr><td style="text-align: center;">2</td></tr></table>
C. 1
D. <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>2</center></td></tr><tr><td style="text-align: center;">3</td></tr></table>
Answer» C. 1
Discussion
538.

If a + b = 12, ab = 22, then (a

A. 188
B. 144
C. 34
D. 100
Answer» E.
Discussion
539.

If a + 1 = b + 1 = c + 1 (a b c), then the value of abc is bca

A. 1
B. 2
C. 0
D. <table><tr><td rowspan="2"> </td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>1</center></td></tr><tr><td style="text-align: center;">2</td></tr></table>
Answer» B. 2
Discussion
540.

If the expression x2 + tx + y2 is a perfect square, then the values of t isy24

A. 1
B. 2
C. 0
D. 3
Answer» B. 2
Discussion
541.

If x y = 2, xy = 24, then the value of (x

A. 25
B. 36
C. 63
D. 52
Answer» E.
Discussion
542.

For real a, b, c if a2 + b2 + c2 = ab + bc + ca, then value ofa + c is b

A. 1
B. 2
C. 3
D. 0
Answer» C. 3
Discussion
543.

If x = b + c 2a, y = c + a 2b, z = a + b 2c, then the value of x

A. 0
B. a + b + c
C. a b + c
D. a + b c
Answer» B. a + b + c
Discussion
544.

If x y = 2 and x

A. 38
B. 36
C. 16
D. 12
Answer» C. 16
Discussion
545.

If a = 23 and b = 29 then the value of 25a

A. 1
B. 1
C. 0
D. 2
Answer» B. 1
Discussion
546.

If x varies inversely as (y

A. 99
B. 12
C. 24
D. 100
Answer» B. 12
Discussion
547.

x varies inversely as square of y. Given that y = 2 for x = 1, the value of x for y = 6 will be equal to

A. 3
B. 9
C. <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>1</center></td></tr><tr><td style="text-align: center;">3</td></tr></table>
D. <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>1</center></td></tr><tr><td style="text-align: center;">9</td></tr></table>
Answer» E.
Discussion
548.

If x = 5 21, then the value of x is 32 x 21

A. <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>1</center></td><td rowspan="2">( <span style=" text-decoration: overline;">3</span> <span style=" text-decoration: overline;">7</span>)</td></tr><tr><td style="text-align: center;"> <span style=" text-decoration: overline;">2</span> </td></tr></table>
B. <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>1</center></td><td rowspan="2">( <span style=" text-decoration: overline;">7</span> <span style=" text-decoration: overline;">3</span>)</td></tr><tr><td style="text-align: center;"> <span style=" text-decoration: overline;">2</span> </td></tr></table>
C. <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>1</center></td><td rowspan="2">( <span style=" text-decoration: overline;">7</span> + <span style=" text-decoration: overline;">3</span>)</td></tr><tr><td style="text-align: center;"> <span style=" text-decoration: overline;">2</span> </td></tr></table>
D. <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>1</center></td><td rowspan="2">(7 <span style=" text-decoration: overline;">3</span>)</td></tr><tr><td style="text-align: center;"> <span style=" text-decoration: overline;">2</span> </td></tr></table>
Answer» C. <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>1</center></td><td rowspan="2">( <span style=" text-decoration: overline;">7</span> + <span style=" text-decoration: overline;">3</span>)</td></tr><tr><td style="text-align: center;"> <span style=" text-decoration: overline;">2</span> </td></tr></table>
Discussion
549.

If (a 3)

A. 4
B. 4
C. 4
D. 2
Answer» D. 2
Discussion
550.

The value of the expression (a b)2 + (b c)2 + (c a)2 is :(b c)(c a)(a b)(c a)(a b)(b c)

A. 0
B. 3
C. <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>1</center></td></tr><tr><td style="text-align: center;">3</td></tr></table>
D. 2
Answer» C. <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>1</center></td></tr><tr><td style="text-align: center;">3</td></tr></table>
Discussion