Mensuration (Railway Maths) (Part – X)

Total Questions: 50

21. A box whose every side is a rectangle has a length of 12 cm, width of 8 cm and height of 10 cm. What is the total surface area of the box? [RRB JE 30/05/2019 (Evening)]

Correct Answer: (a) 592 cm²
Solution:

22. What is the radius of a cylinder whose volume is 3850 cm³ and height is 25 cm? [RRB JE 31/05/2019 (Afternoon)]

Correct Answer: (c) 7 cm
Solution:

23. What is the area of the jogging track which is 2 m wide that runs along the perimeter of a rectangle 20 m × 18 m inside it? [RRB JE 31/05/2019 (Evening)]

Correct Answer: (d) 168 m²
Solution:

24. A towel, when bleached, was found to have lost 20% of its length and 10% of its breadth. Find the percentage of decrease in its area. [RRB JE 31/05/2019 (Evening)]

Correct Answer: (b) 28%
Solution:

25. The area of a rectangle is 9/25 times the area of a square. If the length and breadth of the rectangle are in the ratio 5 : 4, then find the ratio of perimeters of rectangle and square. [RRB JE 31/05/2019 (Evening)]

Correct Answer: (c) 27 : 40
Solution:

26. Find the volume of a sphere whose surface area is 1386 m². [RRB JE 01/06/2019 (Morning)]

Correct Answer: (c) 4851 m³
Solution:

27. The length of the direct common tangent to two circles of radii r₁ and r₂ and d is the distance between their centres is: [RRB JE 01/06/2019 (Morning) ]

Correct Answer: (d)
Solution:

28. The curved surface areas of two cones are in the ratio 2 : 1; their slant heights are in the ratio 1 : 2. What is the ratio of their radii? [RRB JE 01/06/2019 (Morning)]

Correct Answer: (a) 4 : 1
Solution:

29. Two right circular cylinders of equal volume have their heights in the ratio 1 : 2. Find the ratio of their radii. [RRB JE 01/06/2019 (Afternoon)]

Correct Answer: (d) √2 : 1
Solution:

30. Two squares differ in areas by 32 cm². If the difference in their sides is 4 cm, what are the sides of the two squares? [RRB JE 01/06/2019 (Evening)]

Correct Answer: (c) 6 cm, 2 cm
Solution: