Mensuration (Part-2)

11. Equilateral triangles are drawn on the hypotenuse and one of the perpendicular sides of a right-angled isosceles triangle. Their areas are H and A respectively A/H is equal to: [SSC CHSL 10/07/2019 (Afternoon)]

Correct Answer: (b)

Solution:

12. Twelve sticks, each of length one unit, are used to form an equilateral triangle. The area of the triangle is: [SSC CHSL 10/07/2019 (Morning)]

Correct Answer: (c)

Solution:

13. If the length of a rectangle is decreased by 11% and the breadth is increased by 11%, its area will undergo: [SSC CHSL 09/07/2019 (Afternoon)]

(a) 13.13% increase
(b) 1.21% increase
(c) 1.21%decrease
(d) 13.13% decrease

Correct Answer: (c) 1.21%decrease

Solution:

14. In triangle ABC, the length of BC is less than twice the length of AB by 2 cm. The length of AC exceeds the length of AB by 10 cm. The perimeter is 32cm. The length (in cm) of the smallest side of the triangle is: [SSC CHSL 05/07/2019 (Afternoon)]

(a) 4
(b) 10
(c) 8
(d) 6

Correct Answer: (d) 6

Solution:

15. The parallel sides of a trapezium are 20 cm and 10 cm and its non-parallel sides are equal to each other. If its area is 180 cm², then what is the length (in cm) of each non parallel side? [SSC CHSL 04/07/2019 (Morning)]

(a) 11
(b) 13
(c) 12
(d) 15

Correct Answer: (b) 13

Solution:

16. The length of a rectangular park is 20m more than its breadth. If the cost of fencing the park at Rs. 53 per metre is Rs. 21,200, then what is the area (In square metres) of the park ? [SSC CHSL 03/07/2019 (Evening)]

(a) 9504
(b) 8925
(c) 9240
(d) 9900

Correct Answer: (d) 9900

Solution:

17. A wire is in the shape of a rectangle whose sides are in the ratio 7: 4. It was initially in the shape of a circle of radius, very nearly equal to 31.5 cm. The length of smaller side of the rectangle is : (Take π = 22/7) [SSC CHSL 03/07/2019 (Afternoon)]

(a) 44 cm
(b) 36 cm
(c) 40 cm
(d) 32cm

Correct Answer: (b) 36 cm

Solution:

18. A circle circumscribes a rectangle whose sides are in the ratio 4: 3. If the perimeter of the rectangle is 56 cm, then what is the area (In square cm) of the circle? [SSC CHSL 03/07/2019 (Morning)]

(a) 70π
(b) 96π
(c) 90π
(d) 100π

Correct Answer: (d) 100π

Solution:

19. The curved surface area and volume of a cylindrical pole are 132 square metres and 528 cubic metres, respectively. What is the height (In m) of the pole? (Take π = 22/7) [SSC CHSL 02/07/2019 (Afternoon)]

Correct Answer: (d)

Solution:

20. The area of a field in the shape of a hexagon is 2400√3 square meters. What will be the cost(Rs.) of fencing it at Rs. 18.50 per meter? [SSC CHSL 01/07/2019 (Evening)]

(a) 4440
(b) 5920
(c) 5550
(d) 5180

Correct Answer: (a) 4440

Solution:

Mensuration (Part-2)

11. Equilateral triangles are drawn on the hypotenuse and one of the perpendicular sides of a right-angled isosceles triangle. Their areas are H and A respectively A/H is equal to: [SSC CHSL 10/07/2019 (Afternoon)]

12. Twelve sticks, each of length one unit, are used to form an equilateral triangle. The area of the triangle is: [SSC CHSL 10/07/2019 (Morning)]

13. If the length of a rectangle is decreased by 11% and the breadth is increased by 11%, its area will undergo: [SSC CHSL 09/07/2019 (Afternoon)]

14. In triangle ABC, the length of BC is less than twice the length of AB by 2 cm. The length of AC exceeds the length of AB by 10 cm. The perimeter is 32cm. The length (in cm) of the smallest side of the triangle is: [SSC CHSL 05/07/2019 (Afternoon)]

15. The parallel sides of a trapezium are 20 cm and 10 cm and its non-parallel sides are equal to each other. If its area is 180 cm², then what is the length (in cm) of each non parallel side? [SSC CHSL 04/07/2019 (Morning)]

16. The length of a rectangular park is 20m more than its breadth. If the cost of fencing the park at Rs. 53 per metre is Rs. 21,200, then what is the area (In square metres) of the park ? [SSC CHSL 03/07/2019 (Evening)]

17. A wire is in the shape of a rectangle whose sides are in the ratio 7: 4. It was initially in the shape of a circle of radius, very nearly equal to 31.5 cm. The length of smaller side of the rectangle is : (Take π = 22/7) [SSC CHSL 03/07/2019 (Afternoon)]

18. A circle circumscribes a rectangle whose sides are in the ratio 4: 3. If the perimeter of the rectangle is 56 cm, then what is the area (In square cm) of the circle? [SSC CHSL 03/07/2019 (Morning)]

19. The curved surface area and volume of a cylindrical pole are 132 square metres and 528 cubic metres, respectively. What is the height (In m) of the pole? (Take π = 22/7) [SSC CHSL 02/07/2019 (Afternoon)]

20. The area of a field in the shape of a hexagon is 2400√3 square meters. What will be the cost(Rs.) of fencing it at Rs. 18.50 per meter? [SSC CHSL 01/07/2019 (Evening)]

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