Aptitude - Mensuration Test

Test Instructions :

1. The Test is 1hr duration.
2. The Test Paper consists of 30 questions. The maximum marks are 30.
3. All the questions are multiple choice question type with three options for each question.
4. Out of the three options given for each question, only one option is the correct answer.
5. Each question is allotted 1 mark for each correct response.
6. 0.25 will be deducted for incorrect response of each question.
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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

  

  

  

  

ABCD is a rhombus with the diagonals AC and BD intersecting at the origin on the x - y plane. The equation of the straight line AD is x + y = 1. What is the equation of BC?

  

  

  

  

A tank of capacity 165 liters, has N taps, numbered from 1 to N fitted to it. At the start of the nth minute, where 1≤ n ≤ N, the tap numbered n, which fills the tank at the rate of n liters per mite, is opened. If it takes exactly N minutes to fill the tank in his manner , find N.

  

  

  

  

  

The height of the Qutub Minar is 230 metres. It is planned that a stairway from ground to the topof the Minar would be made by arranging cube shaped boulders in a step like fashion. A man firstplaces a boulder on the ground. He then steps on to it, and then throws one boulder down such thatit touches the side of the previous bolder, and then places one over the new one. He then climbsonto the last boulder thus placed and continues to do the same to create steps right to the top, witheach of his step being 1 metre. If each boulder measures 1 cubic metre, how many boulders arerequired in all ?

  

  

  

  

Five-third of the smallest side of a right angled triangle is equal to its largest side. Also the length of the second largest side of triangle is 8 cm. What is the sum of the smallest and the largest sides of that triangle together?

  

  

  

  

  

A closed wooden box of thickness 0.5 cm and length 21 cm, width 11 cm, and height 6 cm, is panted on the inside. The cost of painting is Rs 70. What is the rate of painting in rupees per sq. cm?

  

  

  

  

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

  

  

  

  

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

  

  

  

  

The radii of two cylinders are in the ratio 2 : 3 and heights 5 : 3. Calculate ratio of their volumes

  

  

  

  

In two triangles, the ratio of the areas is 4 : 3 and ratio of their heights is 3 : 4. Find the ratio of their bases

  

  

  

  

One side of a parallelogram is 18 cm and its distance from the opposite side is 8 cm. The area of the parallelogram is:

  

  

  

  

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

  

  

  

  

  

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

  

  

  

  

The number of bricks, each measuring 25 cm x 12.5 cm x 7.5 cm, required to construct a wall 6m long , 5m high and 0.5 m thick, while the mortar occupies 5% of the volume of the wall, is

  

  

  

  

The slope of the line Joining A (-4. 6) and B (5, 3) is

  

  

  

  

The volume of the sphere Q is 3764% less than the volume of sphere P and the volume of sphere R is 1927 % less than that of sphere Q. By what % is the surface area of sphere R less than the surface area of sphere P?

  

  

  

  

The area of rectangular-field is 460 square metres. If the length is 15 per cent more than the breadth .what is the breadth of the rectangular field?

  

  

  

  

  

Cost of painting the 4 walls of a room 40ft.*15ft. At Rs.5 per square feet is Rs.7500. Find the height of the room?

  

  

  

  

What will be the area of a semi-circle of 14 metres diameter?

  

  

  

  

  

Solid cube of 6 * 6 * 6. This cube is cut into to 216 small cubes. (1 * 1 * 1).the big cube is painted in all its faces. Then how many of cubes are painted at least 2 sides.

  

  

  

  

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

  

  

  

  

  

Two diagonals of a parallelogram are 72 cm and 30 cm respectively. What is its perimeter?

  

  

  

  

What is the distance between the c intercept and the r intercept of the line given by the equation? 2r = 6 - f?  

  

  

  

  

  

A cylindrical vessel of radius 4 cm contains water. A solid sphere of radius 3 cm is lowered into the water until it is completely immersed. The water level in the vessel will rise by

  

  

  

  

The ratio between rhe perimeter and the breadth of a rectangle is 5 : 1. If the area of the rectangle is 216 sq. cm, what is the length of the rectangle ?

  

  

  

  

  

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:

  

  

  

  

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

  

  

  

  

  

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

  

  

  

  

  

If the area of a circle decreases by 36%, then the radius of a circle decreases by

  

  

  

  

  

What is the minimum length of a string with which one can surround a triangle of area 36√3 cm?

  

  

  

  

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