Mensuration (Railway Maths) (Part – VIII)

Total Questions: 50

1. If the perimeter of a right triangle is 56 cm and the area of the triangle is 84 cm², then the length of the hypotenuse is: [RRB NTPC 22/02/2021 (Evening)]

Correct Answer: (a) 25 cm
Solution:

2. If the area of an incircle of an equilateral triangle is 462 cm², find the perimeter of the triangle. [RRB NTPC 23/02/2021 (Morning)]

Correct Answer: (d) 126 cm
Solution:

3. Read the given information and statements carefully and decide which option is correct with respect to the statements. If a circle has a radius (r), area (A) and circumference (C) then [RRB NTPC 27/02/2021 (Morning)]

Statement:

  1. A : C² = 1 : 4π
  2. A : C = r : 2
Correct Answer: (d) Both statements 1 and 2 are true
Solution:

4. A circle, made of wire, of diameter 49 cm is formed into a rectangle whose sides are in the ratio 7 : 4. Find the area of the rectangle. [Take π = 22/7] [RRB NTPC 27/02/2021 (Evening)]

Correct Answer: (a) 1372 sq cm
Solution:

5. A wheel makes 1000 revolutions in covering a distance of 154 km. Find the radius ( in metre) of the wheel. [RRB NTPC 27/02/2021 (Evening) ]

Correct Answer: (a)
Solution:

6. In a parallelogram, the altitude is twice the corresponding base, and the area of the parallelogram is 288 m². The altitude of the parallelogram is: [RRB NTPC 01/03/2021 (Morning)]

Correct Answer: (c) 24 m
Solution:

7. If the hypotenuse of a right angled isosceles triangle is 8 cm. Then the area of the triangle is: [RRB NTPC 01/03/2021 (Morning)]

Correct Answer: (a) 16 cm²
Solution:

8. A rectangular room has an area 60 m² and perimeter 34 m. Find the length of its diagonal. [RRB NTPC 01/03/2021 (Evening)]

Correct Answer: (b) 13 m
Solution:

9. The total surface area of a cube of side measuring 2 m is. [RRB NTPC 02/03/2021 (Morning)]

Correct Answer: (d) 24 m²
Solution:

Total surface area of a cube
= 6a² = 6 × 2² = 24m²

10. Two regular polygons have the same number of sides. If the lengths of the sides are in the ratio 3 : 5, then the ratio of their respective areas is: [RRB NTPC 02/03/2021 (Evening)]

Correct Answer: (c) 9 : 25
Solution:

Ratio of lengths = 3 : 5
Ratio of Areas = 3² : 5² = 9 : 25