CUET PG PYQs for Mensuration with Solutions: Practice CUET PG Previous Year Questions

Content Writer | Journalism Graduate | Updated 3+ months ago

Mensuration is an important topic in the Quantitative Aptitude section in CUET PG exam. Practising this topic will increase your score overall and make your conceptual grip on CUET PG exam stronger.

This article gives you a full set of CUET PG PYQs for Mensuration with explanations for effective preparation. Practice of CUET PG Quantitative Aptitude PYQs including Mensuration questions regularly will improve accuracy, speed, and confidence in the CUET PG 2026 exam.

CUET PG PYQs for Mensuration with Solutions

1.
A solid metallic hemisphese having radius R is melted and recasted as a cone with the same base radius R. If H is the height of the cone so formed, then the relation between H and R is:
- H=2R
- \(H=\frac{2}{3}R\)
- \(H=\sqrt{3R}\)
- H=3R
View Solution
2.
A horse is tied to a pole by a rope. If the horse move along a circular path always keeping the rope stretched and describes 22 m when it has traced 56° at the centre. The length of the rope is (Usе \(\pi = \frac {22}{7}\))
- \(22\frac 12\) m
- 30 m
- 28 m
- \(35\frac 14\) m
View Solution
3.
The diameter of a solid right circular cone is 14cm and its slant height is 10cm.The rate of colouring of the cone is ₹I4/cm² .The cost of colouring :
use (\(\pi=\frac{22}{7}\))
- ₹ 5036
- ₹ 5136
- ₹ 5266
- ₹ 5236
View Solution
4.
The ratio of length and Breadth of a rectangle is 4:1 and its area is 64 cm² then what will be the value of length and Breadth of the rectangle?
- 16 cm and 4 cm
- 4 cm and 1 cm
- 4 cm and 16 cm
- 16 cm and 4 cm
View Solution
5.
Instead of walking along two adjacent sides of a rectangular field, a boy took a short-cut along the diagonal of the field and saved a distance equal to half of the longer side. Find the ratio of the length of the shorter side to that of the longer side of the field.
- 4:13
- 3:4
- 5:14
- 4:5
View Solution

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CUET PG PYQs for Mensuration with Solutions

1.A solid metallic hemisphese having radius R is melted and recasted as a cone with the same base radius R. If H is the height of the cone so formed, then the relation between H and R is:

2.A horse is tied to a pole by a rope. If the horse move along a circular path always keeping the rope stretched and describes 22 m when it has traced 56° at the centre. The length of the rope is (Usе \(\pi = \frac {22}{7}\))

3.The diameter of a solid right circular cone is 14cm and its slant height is 10cm.The rate of colouring of the cone is ₹I4/cm2 .The cost of colouring :use (\(\pi=\frac{22}{7}\))

4.The ratio of length and Breadth of a rectangle is 4:1 and its area is 64 cm2 then what will be the value of length and Breadth of the rectangle?

5.Instead of walking along two adjacent sides of a rectangular field, a boy took a short-cut along the diagonal of the field and saved a distance equal to half of the longer side. Find the ratio of the length of the shorter side to that of the longer side of the field.

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1.
A solid metallic hemisphese having radius R is melted and recasted as a cone with the same base radius R. If H is the height of the cone so formed, then the relation between H and R is:

2.
A horse is tied to a pole by a rope. If the horse move along a circular path always keeping the rope stretched and describes 22 m when it has traced 56° at the centre. The length of the rope is (Usе \(\pi = \frac {22}{7}\))

3.
The diameter of a solid right circular cone is 14cm and its slant height is 10cm.The rate of colouring of the cone is ₹I4/cm² .The cost of colouring :
use (\(\pi=\frac{22}{7}\))

4.
The ratio of length and Breadth of a rectangle is 4:1 and its area is 64 cm² then what will be the value of length and Breadth of the rectangle?

5.
Instead of walking along two adjacent sides of a rectangular field, a boy took a short-cut along the diagonal of the field and saved a distance equal to half of the longer side. Find the ratio of the length of the shorter side to that of the longer side of the field.