Aptitude - Mensuration

The coordinates of a point which divide the join of A (5, 5) and (8, 5) in the ratio 2 : 1 are

A.  (5, 6)

B.  (7, 5)

C.  (8,4)

D.  (9, 6)

E.  (7, 5)

View Answer  

Correct Answer :

(7, 5)



Explanation :
No Explanation available for this question

Triangle ABC is right angled at A and has a perimeter of 136. A circle is drawn from A point X on AB such that it is tangent to BC and AC.The radius of the circle is 17 . If BX=m/n where m and n are relatively prime.Then m + n =?

A.  20

B.  8

C.  22

D.  85

E.  88

View Answer  

Correct Answer :

88



Explanation :
No Explanation available for this question

The radius of the wheel of a bus is 70 cms and the bus is 66 km/h, then the r.p.m. (revolutions per minute)of the wheel is

A.  200

B.  250

C.  300

D.  330

E.  None of these

View Answer  

Correct Answer :

250



Explanation :
No Explanation available for this question

Find the slope of the line given by the equation y + 2 = 6/8 (c – 9)?

A.  124

B.  16.72

C.  12.78

D.  56/7

E.  5/4

View Answer  

Correct Answer :

5/4



Explanation :
No Explanation available for this question

The length of a room is 5.5 m and width is 3.75 m. What is the cost of paying the floor by slabs at the rate of Rs. 800 per sq. metre

A.  Rs.12000

B.  Rs.19500

C.  Rs.18000

D.  Rs.16500

View Answer  

Correct Answer :

Rs.16500



Explanation :
No Explanation available for this question

The curved surface area of a right circular cylinder of base radius r is obtained by multiplying its volume by

A.   2r

B.  2/r

C.  2r2

D.  2/r2

View Answer  

Correct Answer :

2/r



Explanation :
No Explanation available for this question

At what coordinates does the graph of 4c+ 6 = d - 1 intersects the c axis?

A.  (0 , -2)

B.  (-1, 5)

C.  (2, 8)

D.  (-6, 4)

E.  (9, 4)

View Answer  

Correct Answer :

(0 , -2)



Explanation :
No Explanation available for this question

If the perimeter of a rectangle is 90, what is the area of the rectangle?

A.  324

B.  124

C.  965

D.  56

E.  324

View Answer  

Correct Answer :

324



Explanation :
No Explanation available for this question

The area of the triangle whose vertices are (a, a), (a + 1, a + 1), (a + 2, a) is :

A.  a3

B.  1

C.  2a

D.  21/2

View Answer  

Correct Answer :

1



Explanation :
No Explanation available for this question

The distance between the points (-9, 5) and (-8, -20) is

A.  0.8

B.  8

C.  65

D.  28

E.  90

View Answer  

Correct Answer :

28



Explanation :
No Explanation available for this question

Find the area of the cyclic quadrilateral whose sides are 15,12,10 and 13 cms.

A.  30*sqrt(26)

B.  30*sqrt(20)

C.  10*sqrt(6)

D.  10*sqrt(2)

View Answer  

Correct Answer :

30*sqrt(26)



Explanation :
No Explanation available for this question

A sphere of maximum volume is cut out from a solid hemisphere of radius r. The ratio of the volume of the hemisphere to that of the cut out sphere is

A.  3:2

B.  4:1

C.  4:3

D.  7:4

View Answer  

Correct Answer :

4:1



Explanation :
No Explanation available for this question

The capacity of a tank of dimensions (8 m x 6 m x 2.5 m) is

A.  120 liters

B.  1200 liters

C.  12000 liters

D.  120000 liters

View Answer  

Correct Answer :

120000 liters



Explanation :
No Explanation available for this question

XYZ is an equilateral triangle with vertices X (6, -2), Y (2, - 1) and Z (4, -2). If ZA is one of its medians find the length of the median

A.  sqrt6 Units

B.  sqrt5 Units

C.  sqrt 13 Units

D.  sqrt10 Units

View Answer  

Correct Answer :

sqrt 13 Units



Explanation :
No Explanation available for this question

If the perimeter of a rectangle and a square, each is equal to 80 cm and the difference of their areas is 100sq.cm. The sides of the rectangle are

A.  25 cm, 15 cm

B.  28 cm, 12 cm

C.  30 cm, 10 cm

D.  35 cm, 15 cm

View Answer  

Correct Answer :

30 cm, 10 cm



Explanation :
No Explanation available for this question

The dimensions of a room are 10 m × 7m ×5 m. There are 2 doors and 3 windows in the room. The dimensions of the doors are 1 m × 3m, one window is of size 2 m× 1.5 m and the other two windows are of size 1 m × 1.5 m. The cost of painting the walls at Rs. 3 per m2 is

A.  Rs. 474

B.  Rs. 578.50

C.   Rs. 684

D.  Rs. 894

View Answer  

Correct Answer :

Rs. 474



Explanation :
No Explanation available for this question

The radii of two cones are in the ratio 2:1, their volumes are equal. Find the ratio of their heights

A.  1:8

B.   1:4

C.  2:1

D.  4:1

View Answer  

Correct Answer :

1:4



Explanation :
No Explanation available for this question

If the side of a square is increased by 3 cm., the area increases by 33 cm. The side of the square is

A.  5.5

B.  6

C.  2

D.  4

View Answer  

Correct Answer :

4



Explanation :
No Explanation available for this question

The surface area of a sphere is same as the curved surface area of a right circular cylinder whose height and diameter are 12 cm. The radius of the square is

A.  3 cm

B.  4 cm

C.  6 cm

D.  12 cm

View Answer  

Correct Answer :

6 cm



Explanation :
No Explanation available for this question

An iron cube of side 10 cm is hammered into a rectangular sheet of thickness 0.5 cm. If the sides of the sheet are in the ratio 1 : 5, the sides are:

A.  10 cm, 50 cm

B.  20 cm, 100 cm

C.   40 cm, 200 cm

D.  None of these

View Answer  

Correct Answer :

20 cm, 100 cm



Explanation :
No Explanation available for this question

The length of a rectangle is twice its breadth. If its length is decreased by 5 cm and breadth is increased by 5 cm, the area of the rectangle is increased by 75 sq.cm. What is the length of the rectangle?

A.  18 cm

B.  16 cm

C.  22 cm

D.  20 cm

View Answer  

Correct Answer :

20 cm



Explanation :
No Explanation available for this question

What is the slope of the line given by the equation 3w - 7 = 6 - 2y?

A.  87

B.  - 2/3

C.  45.741

D.  36

E.  74

View Answer  

Correct Answer :

- 2/3



Explanation :
No Explanation available for this question

The perimeter of a right-angled triangle is 60 cm. Its hypotenuse is 26 cm. The area of the triangle is

A.  120 cm2

B.   240 cm2

C.  390 cm2

D.  780 cm2

View Answer  

Correct Answer :

120 cm2



Explanation :
No Explanation available for this question

The points of intersection of the circle x2 +y2=34 and line y=5

A.  (2, 4 ) ( -2, 4)

B.  (3, 6) (-3, 6)

C.  (3, 5) (3, -5)

D.  (2, 3) (-2, 3)

View Answer  

Correct Answer :

(3, 5) (3, -5)



Explanation :
No Explanation available for this question

A solid metallic spherical ball of diameter 6 cm is melted and recast into a cone with diameter of the base as 12 cm. The height of the cone is

A.  2cm

B.   3 cm

C.  4 cm

D.  6 cm

View Answer  

Correct Answer :

6 cm



Explanation :
No Explanation available for this question

If the perimeter of a square is 80, what is the area of the square?

A.  235

B.  987

C.  136

D.  148

E.  324

View Answer  

Correct Answer :

324



Explanation :
No Explanation available for this question

A circular park has a path of uniform width around it. The difference between outer and inner circumference of the circular path is 132m. Its width is:

A.  20 cm

B.   21 cm

C.   22 cm

D.  24 cm

View Answer  

Correct Answer :

21 cm



Explanation :
No Explanation available for this question

What will be the area of a semi-circle whose perimeter is 36cm?

A.   154 cm2

B.  168 cm2

C.  308 cm2

D.  Data inadequate

E.  None of these

View Answer  

Correct Answer :

None of these



Explanation :
No Explanation available for this question

XYZ is an equilateral triangle with vertices X (6, -2), Y (2, - 1) and Z (4, -2). If ZA is one of its medians find the length of the median

A.  sqrt6 Units

B.  sqrt5 Units

C.  sqrt13 Units

D.  sqrt10 Units

View Answer  

Correct Answer :

sqrt13 Units



Explanation :
No Explanation available for this question

if the volume of a cube is 729 cm3, then the surface area of the cube will be

A.  456 cm2

B.  466 cm2

C.  476 cm2

D.  486 cm2

View Answer  

Correct Answer :

486 cm2



Explanation :
No Explanation available for this question