Mensuration (Part-11)

1. A solid cylinder having radius of base as 7 cm and height as 5 cm is bisected from its height to get two identical cylinders. What will be the percentage increase in the total surface area? [SSC CHSL 16/03/2023 (2nd Shift)]

(a) 58.33 percent
(b) 64.56 percent
(c) 69.44 percent
(d) 52.56 percent

Correct Answer: (a) 58.33 percent

Solution:

2. If in triangle ABC, MN is parallel to BC, and M and N are points on AB and AC respectively. The area of quadrilateral MBCN 130 cm². If AN: NC = 4:5, then the area of Triangle MAN is: [SSC CHSL 17/03/2023 (1st Shift)]

(a) 40 cm²
(b) 65 cm²
(c) 32 cm²
(d) 45 cm²

Correct Answer: (c) 32 cm²

Solution:

3. The circumference of the two circles is 264 m and 308 m respectively. What is the difference between the area of the larger circle and the smaller circle? [SSC CHSL 17/03/2023 (1st Shift)]

(a) 2002 m²
(b) 2010 m²
(c) 1890 m²
(d) 1990 m²

Correct Answer: (a) 2002 m²

Solution:

4. If the heights of two cylinders are in the ratio of 2:3 and their-radius are in the ratio of 6:5, then what is the ratio of the volumes of the cylinders? [SSC CHSL 17/03/2023 (4th Shift)]

(a) 24:29
(b) 21:31
(c) 24:25
(d) 28:31

Correct Answer: (c) 24:25

Solution:

5. The sum of the length and breadth of a cuboid is 4 cm. Length is three times of breadth. If the height of the cuboid is half of the sum of its length and breadth, then what is the total surface area of the cuboid ? [SSC CHSL 20/03/2023 (2nd Shift)]

(a) 64 cm²
(b) 22 cm²
(c) 32 cm²
(d) 30 cm²

Correct Answer: (b) 22 cm²

Solution:

6. The area of a square Is 1156 cm² What is the respective ratio between the length and the breadth of a rectangle whose length is twice the side of the square and whose breadth is 14 cm less than the side of the square? [SSC CHSL 20/03/2023 (4th Shift)]

(a) 16:7
(b) 19:5
(c) 17:5
(d) 21:19

Correct Answer: (c) 17:5

Solution:

7. In triangle ABC, AB = 20 cm, BC= 16 cm and AC = 12 cm and the radius of circle inscribed in it is 4 cm. Find the area of triangle ABC. [SSC CHSL 21/03/2023 (1st Shift)]

(a) 48 cm²
(b) 72 cm²
(c) 96 cm²
(d) 120 cm²

Correct Answer: (c) 96 cm²

Solution:

8. A trapezium plate having two parallel sides of length 15 cm and 9 cm. and distance between them is 6 cm. Copper plating is to be done on the plate at a rate of Rs.3 per square cm. What will be the total cost of copper plating on the upper side of the plate? [SSC CHSL 21/03/2023 (1st Shift)]

(a) Rs.432
(b) Rs.216
(c) Rs.72
(d) Rs.108

Correct Answer: (b) Rs.216

Solution:

9. △ABC is similar to △PQR, AB = 4cm BC = 8cm and AC = 10cm. If QR = 16cm , then what is the area of △PQR? [SSC CHSL 21/03/2023 (2nd Shift)]

Correct Answer: (b)

Solution:

10. What is the volume of the largest sphere that can be carved out of a wooden cube of sides 21 cm? (π = 22/7) [SSC CGL Tier II (02/03/2023)]

(a) 3851 cm³
(b) 6858 cm³
(c) 4851 cm³
(d) 5821 cm³

Correct Answer: (c) 4851 cm³

Solution:

Mensuration (Part-11)

1. A solid cylinder having radius of base as 7 cm and height as 5 cm is bisected from its height to get two identical cylinders. What will be the percentage increase in the total surface area? [SSC CHSL 16/03/2023 (2nd Shift)]

2. If in triangle ABC, MN is parallel to BC, and M and N are points on AB and AC respectively. The area of quadrilateral MBCN 130 cm². If AN: NC = 4:5, then the area of Triangle MAN is: [SSC CHSL 17/03/2023 (1st Shift)]

3. The circumference of the two circles is 264 m and 308 m respectively. What is the difference between the area of the larger circle and the smaller circle? [SSC CHSL 17/03/2023 (1st Shift)]

4. If the heights of two cylinders are in the ratio of 2:3 and their-radius are in the ratio of 6:5, then what is the ratio of the volumes of the cylinders? [SSC CHSL 17/03/2023 (4th Shift)]

5. The sum of the length and breadth of a cuboid is 4 cm. Length is three times of breadth. If the height of the cuboid is half of the sum of its length and breadth, then what is the total surface area of the cuboid ? [SSC CHSL 20/03/2023 (2nd Shift)]

6. The area of a square Is 1156 cm² What is the respective ratio between the length and the breadth of a rectangle whose length is twice the side of the square and whose breadth is 14 cm less than the side of the square? [SSC CHSL 20/03/2023 (4th Shift)]

7. In triangle ABC, AB = 20 cm, BC= 16 cm and AC = 12 cm and the radius of circle inscribed in it is 4 cm. Find the area of triangle ABC. [SSC CHSL 21/03/2023 (1st Shift)]

8. A trapezium plate having two parallel sides of length 15 cm and 9 cm. and distance between them is 6 cm. Copper plating is to be done on the plate at a rate of Rs.3 per square cm. What will be the total cost of copper plating on the upper side of the plate? [SSC CHSL 21/03/2023 (1st Shift)]

9. △ABC is similar to △PQR, AB = 4cm BC = 8cm and AC = 10cm. If QR = 16cm , then what is the area of △PQR? [SSC CHSL 21/03/2023 (2nd Shift)]

10. What is the volume of the largest sphere that can be carved out of a wooden cube of sides 21 cm? (π = 22/7) [SSC CGL Tier II (02/03/2023)]

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