MENSURATION (QUANTITATIVE APTITUDE) EPFO UPSC

Total Questions: 30

1. The length of a rectangular plot is thrice its breadth. If the area of the rectangular plot is 7803 sq. mts., what is the breadth of the rectangular plot?

Correct Answer: (a) 51 metre
Solution:

2. Area of a rectangle is equal to the area of the circle whose radius is 21 cm. If the length and the breadth of the rectangle are in the ratio of 14 : 11 respectively, what is its perimeter?

Correct Answer: (d) 150 cm.
Solution:

3. The total area of a circle and a square together are equal to 2611 sq. cm. The diameter of the circle is 42 cms. What is the sum of the circumference of the circle and the perimeter of the square ?

Correct Answer: (a) 272 cms.
Solution:

4. The area of a rectangle is 4 times the area of a square. The length of the rectangle is 90 cm and the breadth of the rectangle is 2/3 of the side of the square. What is the side of the square ?

Correct Answer: (d) None of these
Solution:

5. An equilateral triangle of side 6 cm has its corners cut off to form a regular hexagon. Area (in cm²) of this regular hexagon will be

Correct Answer: (c)
Solution:

6. If the circumference of a circle is decreased by 50% then the percentage of decrease in its area is

Correct Answer: (d) 75
Solution:

7. A copper wire of length 36 m and diameter 2 mm is melted to form a sphere. The radius of the sphere (in cm) is

Correct Answer: (b) 3
Solution:

8. A copper wire is bent in the shape of a square of area 81 cm². If the same wire is bent form of a semicircle, the radius (in cm) of the semicircle is [(Take π= 22/7) ]

Correct Answer: (d) 7
Solution:

9. The volume (in m3) of rain water that can be collected from 1.5 hectares of ground in a rainfall of 5 cm is

Correct Answer: (b) 750
Solution:

10. A river 3 m deep and 40 m wide is flowing at the rate of 2 km per hour. How much water (in litres) will fall into the sea in a minute?

Correct Answer: (b) 40,00,000
Solution: