Previous years Mensuration Questions for SSC CGL Exams-2017

Dear Students, SSChas released the notification for CGL 2017. This time again the competition is going to be very stiff. Questions from Quant are asked in Tier-1 and Tier-II as well. Hence, you need to focus on this subject more. The only trick to master Quant is “practice‘. So, Practice daily. We are providing topic-wise quant quizzes, solve, learn, succeed.

Q1. The length of a rectangle, which is 25 cm is equal to the length of a square and the area of the rectangle is 100 cm less than the area of the square. What is the breadth of the rectangle?

(a) 15 cm

(b) 21 cm

(c) 12 cm

(d) 13 cm

Q2. The radii of two circles are in the ratio 3: 5. The area of the 1st circle is how much % less than the area of the second one.

(a) 12%

(b) 64%

(c) 36%

(d) None of these

Q4. A rectangular path 100 meters long and 80 metre wide has a travel path of 10 metres in it running around it from inside. Find the area of the path.

(a) 2624 m^{2}

(b) 2644 m^{2}

(c) 3200 m^{2}

(d) None of these

Q5. A square field of area 31684 square metres is to be enclosed with wire placed at heights 1, 2, 3, 4 metres above the ground. What length of the wire will be required, if its length required for each circuit is 5% greater than the perimeter of the field?

(a) 2390.4 m

(b) 2590.6 m

(c) 2785.8 m

(d) 2990.4 m

Q6. Find the distance between the two parallel sides of a trapezium if the area of the trapezium is 350 sq.m. and the two parallel sides are equal to 25 m and 10 m respectively.

(a) 20 m

(b) 25 m

(c) 30 m

(d) 35 m

Q8. An oblong piece of ground measures 19 meters by 12 metres. From the centre of each side a path 2 meters wide goes across to the centre of the opposite side. Find the cost of paving these paths at the rate of Rs. 10 per sq meter.

(a) Rs. 7430.68

(b) Rs. 713.04

(c) Rs. 753.26

(d) Rs. 580

11. A toy is in the form of a cone surmounted on a hemisphere. The radius of the hemisphere and the cone is 3 cm each, the height of the conical part of the toy is 4 cm. The total surface area of the toy is

(a) 75.43 cm^{2}

(b) 103.71 cm^{2}

(c) 85.35 cm^{2}

(d) 120.71 cm^{2}

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12. A semi-circular sheet of metal whose diameter is 28 cm has been bent in the shape of a conical bowl. The depth of the bowl is

(a) 11 cm

(b) 12 cm

(c) 13 cm

(d) 14 cm

13. The radii and heights of a right circular cylinder and a cone are equal separately. If their curved surface areas are in the ratio of 8: 5, the ratio of the radii of their bases and heights is

(a) 2: 3

(b) 4: 3

(c) 3: 4

(d) 3: 2

15. The base of a right prism is an equilateral triangle whose area is 173 cm^{2}. The volume of the prism is 10380 cm^{3}. Thus, the area of its lateral surfaces is (Use = 1.73)