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.

301.

What is the distance of the point (2, 3) from the line 2x + 3y + 4 = 0 ?

A. <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>15</center></td></tr><tr><td style="text-align: center;"><br> <span style=" text-decoration: overline;">13</span></td></tr></table>
B. <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>16</center></td></tr><tr><td style="text-align: center;"><br> <span style=" text-decoration: overline;">13</span></td></tr></table>
C. <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>17</center></td></tr><tr><td style="text-align: center;"><br> <span style=" text-decoration: overline;">13</span></td></tr></table>
D. <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>8</center></td></tr><tr><td style="text-align: center;"><br> <span style=" text-decoration: overline;">13</span></td></tr></table>
Answer» D. <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>8</center></td></tr><tr><td style="text-align: center;"><br> <span style=" text-decoration: overline;">13</span></td></tr></table>
Discussion
302.

What is the distance between the parllel lines 15x + 8y 34 = 0 and 15x + 8y + 31 = 0 ?

A. 2 units
B. 5 units
C. 6 units
D. 65/17 units
Answer» E.
Discussion
303.

Find the ratio in which the line segment joining the points (1, 2) and (4, 6) is divided by point (2, 0).

A. 1 : 2
B. 2 : 1
C. 1 : 4
D. 2 : 3
Answer» B. 2 : 1
Discussion
304.

If a, b, c are real and a

A. 1
B. 0
C. 1
D. 2
Answer» D. 2
Discussion
305.

If a = c = e = 3,then 2a2 + 3c2 +4e2 = ?bdf2b2 + 3d2 + 4f2

A. 2
B. 3
C. 4
D. 9
Answer» E.
Discussion
306.

For what value of k, the line kx + 3y + 6 = 0, will pass through the point (2, 4).

A. k = 8
B. k = 7
C. k = 9
D. k = 6
Answer» D. k = 6
Discussion
307.

Find the co-ordinates of the mid point of a line segment joining the points (2, 4) and (6, 8) ?

A. (2, 6)
B. (4, 6)
C. (6, 4)
D. ( 4, 6)
Answer» C. (6, 4)
Discussion
308.

What will be the equation of a line passing through the point ( 4, 3) and having slope 1/2 ?

A. x 2y + 5 = 0
B. x + 2y + 10 = 0
C. x 2y + 6 = 0
D. x 2y + 10 = 0
Answer» E.
Discussion
309.

For what value of k, the following pair of lines kx + 2y + 3 = 0 and 2x + 4y + 7 = 0 are perpendicular ?

A. k = 2
B. k = 4
C. k = 1
D. k = 3
Answer» C. k = 1
Discussion
310.

What is the equation of line, which makes intercepts 5 and 2 on the x and y-axis respectively

A. 2 x 5y = 10
B. 2x + 5y = 10
C. 2 x 5y = 10
D. 5 x 2y = 10
Answer» D. 5 x 2y = 10
Discussion
311.

If the points (h, o), (a, b) and (o, k) lie on a line, then?

A. <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>a</center></td><td rowspan="2"> + </td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>b</center></td><td rowspan="2"> = 1</td></tr><tr><td style="text-align: center;">h</td><td style="text-align: center;">k</td></tr></table>
B. <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>a</center></td><td rowspan="2"> + </td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>b</center></td><td rowspan="2"> = 1</td></tr><tr><td style="text-align: center;">k</td><td style="text-align: center;">h</td></tr></table>
C. <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>h</center></td><td rowspan="2"> + </td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>k</center></td><td rowspan="2"> = 1</td></tr><tr><td style="text-align: center;">a</td><td style="text-align: center;">b</td></tr></table>
D. <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>a</center></td><td rowspan="2"> - </td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>b</center></td><td rowspan="2"> = 1</td></tr><tr><td style="text-align: center;">h</td><td style="text-align: center;">k</td></tr></table>
Answer» B. <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>a</center></td><td rowspan="2"> + </td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>b</center></td><td rowspan="2"> = 1</td></tr><tr><td style="text-align: center;">k</td><td style="text-align: center;">h</td></tr></table>
Discussion
312.

If xy (x + y) = m, then the value of (x + y + 3m) is :

A. <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>m </center></td></tr><tr><td style="text-align: center;">xy</td></tr></table>
B. <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>m </center></td></tr><tr><td style="text-align: center;">(x + y) </td></tr></table>
C. <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>m </center></td></tr><tr><td style="text-align: center;">x y </td></tr></table>
D. mx y
Answer» D. mx y
Discussion
313.

Ifa + b = b + c = c + a = 1 (k 0) then k = ? c a b k

A. 2
B. 1
C. 0
D. 1/2
Answer» E.
Discussion
314.

A point R(h, k) divides a line segment between the axis in the ratio 1 : 2 what will be the equation of line ?

A. <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>x</center></td><td rowspan="2"> - </td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>2y</center></td><td rowspan="2"> = 4</td></tr><tr><td style="text-align: center;">h</td><td style="text-align: center;">k</td></tr></table>
B. <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>x</center></td><td rowspan="2"> + </td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>2y</center></td><td rowspan="2"> = 3</td></tr><tr><td style="text-align: center;">h</td><td style="text-align: center;">k</td></tr></table>
C. <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>x</center></td><td rowspan="2"> + </td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>y</center></td><td rowspan="2"> = 1</td></tr><tr><td style="text-align: center;">k</td><td style="text-align: center;">h</td></tr></table>
D. <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>x</center></td><td rowspan="2"> + </td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>y</center></td><td rowspan="2"> = 1</td></tr><tr><td style="text-align: center;">2k</td><td style="text-align: center;">h</td></tr></table>
Answer» C. <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>x</center></td><td rowspan="2"> + </td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>y</center></td><td rowspan="2"> = 1</td></tr><tr><td style="text-align: center;">k</td><td style="text-align: center;">h</td></tr></table>
Discussion
315.

What is the equation of line passes through the point (3, 2) and make an angle of 45 with the line x 2y = 3 ?

A. 3 x y 7 = 0
B. 3 x + y = 7
C. x 3y = 7
D. 3x + y = 6
Answer» B. 3 x + y = 7
Discussion
316.

In what ratio the line segment joining the points (2, 3) and (4, 6) is divided by y-axis?

A. Internally 1 : 2
B. Externally 2 : 3
C. Externally 2 : 1
D. Externally 1 : 2
Answer» E.
Discussion
317.

For what value of k the line (k 3)x (4 k )y + k 7k + 6 = 0 is parallel to x-axis ?

A. k = 1
B. k = 4
C. k = 6
D. k = 2
Answer» E.
Discussion
318.

What is the equation of a line perpendicular to the line x 7y + 5 = 0 and having x-intercept 3?

A. x + 7y = 21
B. 7x + y = 21
C. x + 2y = 10
D. x + y = 15
Answer» C. x + 2y = 10
Discussion
319.

What point on the x-axis are at a distance of 4 units from the line 3x 4y 5 = 0

A. <table><tr><td rowspan="2"><img src="https://www.indiabix.com/_files/images/data-interpretation/common/15-sym-oparen-h1.gif"></td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>1</center></td><td rowspan="2"> , 0</td><td rowspan="2"><img src="https://www.indiabix.com/_files/images/data-interpretation/common/15-sym-cparen-h1.gif"></td></tr><tr><td style="text-align: center;">3</td></tr></table>
B. <table><tr><td rowspan="2"><img src="https://www.indiabix.com/_files/images/data-interpretation/common/15-sym-oparen-h1.gif"></td><td rowspan="2"> 0 , </td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>25</center></td><td rowspan="2"><img src="https://www.indiabix.com/_files/images/data-interpretation/common/15-sym-cparen-h1.gif"></td></tr><tr><td style="text-align: center;">3</td></tr></table>
C. (5 , 1)
D. <table><tr><td rowspan="2"><img src="https://www.indiabix.com/_files/images/data-interpretation/common/15-sym-oparen-h1.gif"></td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>25</center></td><td rowspan="2"> , 0</td><td rowspan="2"><img src="https://www.indiabix.com/_files/images/data-interpretation/common/15-sym-cparen-h1.gif"></td></tr><tr><td style="text-align: center;">3</td></tr></table>
Answer» E.
Discussion
320.

If the angle between two lines is /4 and the slope of one of the lines is 1/2 , then the slope of other line will be

A. m = 1
B. m = 2
C. m = 3
D. m = 4
Answer» D. m = 4
Discussion
321.

Find the equation of a line which passes through the point of intersection of lines x + 2y = 5 and x 3y = 7 and also passes through the point (0, 1)

A. 3x 29y + 1 = 0
B. 3 x 29y 29 = 0
C. 3x + 4y 6 = 0
D. 3x + 29y + 7 = 0
Answer» C. 3x + 4y 6 = 0
Discussion
322.

What will be the co-ordinates of centroid of a triangle whose vertices are A(1, 2), B (2, 4) and C(6, 2).

A. (3, 1)
B. <table><tr><td rowspan="2"><img src="https://www.indiabix.com/_files/images/data-interpretation/common/15-sym-oparen-h1.gif"></td><td rowspan="2">3,</td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>8</center></td><td rowspan="2"><img src="https://www.indiabix.com/_files/images/data-interpretation/common/15-sym-cparen-h1.gif"></td></tr><tr><td style="text-align: center;">3</td></tr></table>
C. <table><tr><td rowspan="2"><img src="https://www.indiabix.com/_files/images/data-interpretation/common/15-sym-oparen-h1.gif"></td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>8</center></td><td rowspan="2"> , 3</td><td rowspan="2"><img src="https://www.indiabix.com/_files/images/data-interpretation/common/15-sym-cparen-h1.gif"></td></tr><tr><td style="text-align: center;">3</td></tr></table>
D. (1, 5)
Answer» C. <table><tr><td rowspan="2"><img src="https://www.indiabix.com/_files/images/data-interpretation/common/15-sym-oparen-h1.gif"></td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>8</center></td><td rowspan="2"> , 3</td><td rowspan="2"><img src="https://www.indiabix.com/_files/images/data-interpretation/common/15-sym-cparen-h1.gif"></td></tr><tr><td style="text-align: center;">3</td></tr></table>
Discussion
323.

If the linex - y = 1ab

A. (1, 1)
B. ( 1, 1)
C. (1, 1)
D. ( 1, 1)
Answer» E.
Discussion
324.

A point equidistant from the lines 4x + 3y + 10 = 0, 5x 12y + 26 = 0 and 7x + 24y 50 = 0 is

A. (1, 1)
B. (1, 1)
C. (0, 0)
D. (0, 1)
Answer» D. (0, 1)
Discussion
325.

The distance between the lines y = mx + c

A. <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>c<sub>1</sub> - c<sub>2</sub></center></td></tr><tr><td style="text-align: center;"> <span style=" text-decoration: overline;">m + 1</span></td></tr></table>
B.
C. <table><tr><td rowspan="2"><img src="http://images.interviewmania.com/wp-content/uploads/2019/09/mode-2.png"></td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>c<sub>1</sub> - c<sub>2</sub></center></td><td rowspan="2"><img src="http://images.interviewmania.com/wp-content/uploads/2019/09/mode-2.png"></td></tr><tr><td style="text-align: center;"> <span style=" text-decoration: overline;">1 + m </span></td></tr></table>
D. <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>c<sub>2</sub> - c<sub>1</sub></center></td></tr><tr><td style="text-align: center;"> <span style=" text-decoration: overline;">1 + m </span></td></tr></table>
E. 0
Answer» C. <table><tr><td rowspan="2"><img src="http://images.interviewmania.com/wp-content/uploads/2019/09/mode-2.png"></td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>c<sub>1</sub> - c<sub>2</sub></center></td><td rowspan="2"><img src="http://images.interviewmania.com/wp-content/uploads/2019/09/mode-2.png"></td></tr><tr><td style="text-align: center;"> <span style=" text-decoration: overline;">1 + m </span></td></tr></table>
Discussion
326.

In what ratio, the line joining ( 1, 1) and (5, 7) is divided by the line x + y = 4 ?

A. 5 : 13
B. 5 : 2
C. 1 : 3
D. 4 : 7
Answer» B. 5 : 2
Discussion
327.

Slope of a line which cuts off intercepts of equal lengths on the axis is

A. 1
B. 2
C. 1
D. 3
Answer» D. 3
Discussion
328.

If (4a 3) = 0, then the value of 64a 48a + 12a + 13 is :

A. 0
B. 11
C. 22
D. 33
Answer» D. 33
Discussion
329.

Sum of the factors of 4b c (b + c a ) is :

A. a + b + c
B. 2(a + b + c)
C. 0
D. 1
Answer» C. 0
Discussion
330.

If x 1 = 5, then x2 + 1 is xx2

A. 5
B. 25
C. 27
D. 23
Answer» D. 23
Discussion
331.

If is an operation such that

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;">3</td></tr></table>
B. <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>14</center></td></tr><tr><td style="text-align: center;">23</td></tr></table>
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. <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>14</center></td></tr><tr><td style="text-align: center;">13</td></tr></table>
Answer» D. <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>14</center></td></tr><tr><td style="text-align: center;">13</td></tr></table>
Discussion
332.

If [p] means the greatest integer less than or equal to p, then

A. 4
B. 5
C. 6
D. 7
Answer» D. 7
Discussion
333.

If 3(a + b + c ) = (a + b + c) , then the relation between a, b and c is

A. a b c
B. a = b c
C. a b = c
D. a = b = c
Answer» E.
Discussion
334.

The mean of x and 1/x is N. Then the mean of x and 1/x is

A. N
B. 2N 1
C. N 2
D. 4N 2
Answer» C. N 2
Discussion
335.

The term, that should be added to (4x + 8x) so that resulting expression be a perfect square, is

A. 2
B. 4
C. 2x
D. 1
Answer» C. 2x
Discussion
336.

When x

A. mn = 1
B. m = n
C. m + n = 1
D. m = n
Answer» E.
Discussion
337.

A point in the 4th quadrant is 6 unit away from x axis and 7 unit away from y axis. The point is at

A. (7, 6)
B. ( 7, 6)
C. ( 6, 7)
D. ( 6, 7)
Answer» B. ( 7, 6)
Discussion
338.

If p : q = r : s = t : u = 2 : 3, then (mp + nr + ot) : (mq + ns + ou) equals :

A. 3 : 2
B. 2 : 3
C. 1 : 3
D. 1 : 2
Answer» C. 1 : 3
Discussion
339.

If 3a + 5b = 5, then a : b is equal to :3a - 5b

A. 2 : 1
B. 5 : 3
C. 3 : 2
D. 5 : 2
Answer» E.
Discussion
340.

If the number of vertices, edges and faces of a rectangualr parallelopiped are denoted by v, e and f respectively, the value of (v e+f )is

A. 0
B. 2
C. 4
D. 1
Answer» C. 4
Discussion
341.

If x : y = 7 : 3, then the value of xy + y is x + y

A. <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;">4</td></tr></table>
B. <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>4</center></td></tr><tr><td style="text-align: center;">3</td></tr></table>
C. <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>
D. <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>7</center></td></tr><tr><td style="text-align: center;">3</td></tr></table>
Answer» B. <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>4</center></td></tr><tr><td style="text-align: center;">3</td></tr></table>
Discussion
342.

What is the area of the triangle formed by points (0,0), (3,4), (4,3) ?

A. 4 units
B. <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>7</center></td><td rowspan="2">units </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>5</center></td><td rowspan="2">units </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>5</center></td><td rowspan="2">units </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>5</center></td><td rowspan="2">units </td></tr><tr><td style="text-align: center;">2</td></tr></table>
Discussion
343.

Point P is the midpoint of segment AB. Co-ordinates of point P are (2,1) and that of point A are (11,5). The co-ordinates of point B are

A. (-7,-(3)
B. (6.5,(3)
C. (7,(3)
D. (-6.5,-(3)
Answer» B. (6.5,(3)
Discussion
344.

P (4, (2) and R ( 2, 0) are vertices of a rhombus PQRS. What is the equation of diagonal QS ?

A. x 3y = 2
B. 3x + y = 4
C. 3 x + y = 4
D. x 3y = 2
Answer» C. 3 x + y = 4
Discussion
345.

If A : B = 1 : 3 B : C 1 : 5 and C : D = 5 : 3 then the ratio A : B : C : D is 283964

A. 6 : 4 : 8 : 10
B. 6 : 8 : 9 : 10
C. 8 : 6 : 10 : 9
D. 4 : 6 : 8 : 10
Answer» D. 4 : 6 : 8 : 10
Discussion
346.

If 4r = h +

A. 17:8
B. 8:17
C. 8:15
D. 15:8
Answer» D. 15:8
Discussion
347.

2x ky+7 = 0 and 6x 12y + 15 = 0 has no solution for

A. k = 1
B. k = 4
C. k = 4
D. k = 1
Answer» D. k = 1
Discussion
348.

If 2x + y = 6 and x = 2 are two linear equations, then graph of two equations meet at a point :

A. (2,0)
B. (0,2)
C. (2,2)
D. (1,2)
Answer» D. (1,2)
Discussion
349.

If x + y = 1 + xy, then x

A. 0
B. 1
C. 1
D. 2
Answer» C. 1
Discussion
350.

If x + 5 +1 = 6, then the value of (x + 1)3 + 1 is x + 1(x + 1)3

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