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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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 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 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

  

  

  

  

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

  

  

  

  

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 ?

  

  

  

  

  

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

  

  

  

  

  

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

  

  

  

  

Angle 'N. of the quadrilateral ABCD is 260 less than angle B. Angle B is twice angle C and angle C is 100 more than the angle D. What would be the measure of angle A?

  

  

  

  

  

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

  

  

  

  

  

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?

  

  

  

  

Spheres A and B have their radii 40 cm and 10 cm respectively. The ratio of the surface area of A to the surface area of B is

  

  

  

  

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?

  

  

  

  

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

  

  

  

  

  

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 =?

  

  

  

  

  

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

  

  

  

  

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.

  

  

  

  

  

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

  

  

  

  

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

  

  

  

  

  

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

  

  

  

  

To comfortably sit in a room, every girl must be allowed a floor space of 2 sq.m. and air space of 5.5 cubic metres.  Fifty girls are to be seated comfortably in a room 10m. long.  What should be its height?

  

  

  

  

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

  

  

  

  

  

How many spherical bullets can be made out of lead cylindrical 15 cm high and with base radius 3 cm, each bullet being 5 mm in diameter

  

  

  

  

The currencies in countries X and Y are denoted by Xs. and Ys. respectively. The exchange rate in 1990 was 1 Xs. = 0.6 Ys. The price level in 2006 in X and Y are 150 and 400 respectively with 1990 as a base of 100. The exchange rate in 2006, based solely on this purchasing power parity consideration, is 1 Xs.=

  

  

  

  

What is the slope of the line given by the equation 2h – 8 = 7 – 2a?

  

  

  

  

  

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?

  

  

  

  

  

A well 20m in diameter is dug 15m deep and earth is spread all around a width of 5m to form an embankment. Find the height of the embankment.

  

  

  

  

The area of a triangle is 21 sq. units. If two of its vertices lie on points (5, 3) and (–4, –3), then find the locus of the third vertex.

  

  

  

  

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

  

  

  

  

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

  

  

  

  

What is the slope of the line given by the equation 4g - 5 = 7 - 2e?

  

  

  

  

  

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