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.
Start Test

   Time Left : 00 : 30    : 00

Volume of a right circular cylinder is 450 cm3and its curved surfaces area is 200 cm2. Find its radius?

  

  

  

  

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 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 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?

  

  

  

  

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

  

  

  

  

What is the largest number of pipes of the shape of right circular cylinders with length10 cm and radius 1 cm that can be fitted into a box, all of whose sides are 20 cm in length?

  

  

  

  

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

  

  

  

  

  

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

  

  

  

  

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?

  

  

  

  

  

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?

  

  

  

  

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

  

  

  

  

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

  

  

  

  

  

What is the sum of the total surface areas of all the cubes formed when a cuboid of size  5.2 m x 13 m x 39 m is cut completely into the least possible number of cubes, all of which are identical?

  

  

  

  

A rectangular plot 15 m x10 m, has a path of grass outside it. If the area of grassy pathway is 54 m2, find the width of the path.

  

  

  

  

  

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

  

  

  

  

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

  

  

  

  

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

  

  

  

  

A flagstaff 17.5 m high casts a shadow of length 40.25m. The height of the building which casts a shadow of length 28.75 under similar conditions will be:

  

  

  

  

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?

  

  

  

  

In a cyclic quadrilateral ABCD, if AB = 2, BC = 3, CD = 4 and DA = 5, what is the ratio of the lengths of the diagonals?

  

  

  

  

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

  

  

  

  

What length of solid cylinder 2 cm in diameter mush be taken to cast into a hollow cylinder of external diameter 12 cm, 0.25 cm thick and 15 cm long?

  

  

  

  

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?

  

  

  

  

What is the slope of the line given by the equation 3p – 5 = 5 – 2k?

  

  

  

  

  

What will be the cost of gardening  1metre broad boundary around a rectangular plot having perimeter of 340 meters at the   rate of Rs. 10 per square metres?

  

  

  

  

  

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

  

  

  

  

In a mile race Akshay can be given a start of 128 metres by Bhairav. If Bhairav can given Chinmay a start of 4 metres in a 100 metres dash, then who out of Akshay and Chinmay will win a race of one and half mile, and what will be the final lead given by the winner to the loser? (One mile is 1600 metres).

  

  

  

  

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. 

  

  

  

  

Three circles touch each other externally. If xy = 15,yz = 10, xz = 21 Find the radius of each circle

  

  

  

  

The curved surface area of a cylinder pillar is 264 m2 and its volume is 924 m3. Find the ratio of its diameter to its height

  

  

  

  

Note:
  • Click the 'Submit Test' button given in the bottom of this page to Submit your answers.
  • Test will be submitted automatically if the time expired.
  • Don't refresh the page.