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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A powder tin has a square base with side 16 cm and height 28 cm. Another tin has a circular base with diameter 16 cm and height 28 cm. Find the difference in their capacities. 

  

  

  

  

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?

  

  

  

  

How many litres of pure acid are there in 8 litres of a 20% solution?

  

  

  

  

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

  

  

  

  

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

  

  

  

  

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

  

  

  

  

The length of one diagonal of a rhombus is 80% of the other diagonal. The area of the rhombus is how many times the square of the length of the other diagonal?

  

  

  

  

Where defined, {y2 – 3/3} {8/2y + 3} =

  

  

  

  

  

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

  

  

  

  

  

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 ?

  

  

  

  

  

Within a square ground with one side 20 m , there is a square path that is 4 m in breadth. What is the area of the park without the path

  

  

  

  

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:

  

  

  

  

How many plants will be there in a circular bed whose outer edge measure 30 cms, allowing 4 cm2 for each plant ?

  

  

  

  

  

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

  

  

  

  

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

  

  

  

  

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

  

  

  

  

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 sum of the radius of the base and height of a solid cylinder is 40m. If the total surface area of the cylinder is 1760 m2 its volume is:

  

  

  

  

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 cost of carpeting a room 18 m long with a carpet 75 cm wide at Rs. 4.50 per meter is Rs. 810. The breadth of the room is :

  

  

  

  

A circular cylinder can hold 61.6 c.c of water. If the height of the cylinder is 40 cm and the outer diameter is 16 mm, then the thickness of the material of the cylinder is

  

  

  

  

If the area of a square increases by 69%, then the side of the square increases by

  

  

  

  

Euclid had a triangle in his mind .The longest side is 20 and the other side is 10.Area of the triangle is 80.The third side is

  

  

  

  

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

  

  

  

  

A circular garden has a circumference of 440m. There is a 7m border inside the garden along its periphery. The area of the border is

  

  

  

  

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

  

  

  

  

  

What is the least number of square tiles required to pave the floor of a room 15 cm 17 cm long and 9 m 6 cm broad?

  

  

  

  

The length of a ladder is exactly equal to the height of the wall it is resting against. Iflower end of the ladder is kept on a stool of height 3 m and the stool is kept 9 m awayfrom the wall, the upper end of the ladder coincides with the top of the wall. Then,the height of the wall is:

  

  

  

  

The number of revolutions made by a wheel of diameter 56 cm in covering a distance of 1.1 km is: (use π= 22/7)

  

  

  

  

In the adjoining figure, AC + AB = 5 AD and AC - AD = 8. The area of the rectangle ABCD is:

  

  

  

  

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