Table of Contents
MENSURATION
(Set – 3)
1) What is the area (m2) of field excluding walkthrough?(Width of the walkthroughs (both vertical and horizontal walkthrough) is 4 m as shown in the figure.
a) 2256
b) 2112
c) 1788
d) 2546
e) None of these
2) The length, breadth, and height of a godown is 42 m, 26 m, and 15 m, respectively. Cartons have been stored in the godown and length, breadth, and height of each carton is 120 cm, 80 cm, and 50 cm, respectively. Find the maximum number of cartons that could be stored in the godown.
a) 34125
b) 32650
c) 33455
d) 31845
e) None of these
3) The cost incurred for painting the four walls and ceiling of a room is Rs. 4872. The perimeter of the floor of the room is 56 m and the ratio of length and breadth of the room is 4:3. If the cost of painting per m2 of the room is Rs. 7 then find the height of the room.
a) 12m
b) 10 m
c) 9 m
d) 5 m
e) None of these
4) One parallel side of a trapezium is equal to the radius of a circle and height between parallel sides of the trapezium is equal to the diagonal of a rectangle. Find the area of trapezium it one parallel side of the trapezium is B cm. Area of circle is 616 cm2 and perimeter of rectangle is 28 cm with length and width ratio 4 : 3.
a) 55 cm2
b) 110 cm2
c) 220 cm2
d) 105 cm2
e) None of these
5) The ratio of the radius of hemispheres X, Y and Z is 5:3:9. If it is known that the radius of hemisphere Y was 12 cm, then the curved surface area of hemisphere Z was what percentage of the curved surface of area of the 2 hemispheres X and Y combined?
a) 104.66%
b) 130.27%
c) 119.12%
d) 42.85%
e) None of these
6) From a cone of diameter 10 cm and lateral height 13 cm a cylinder is cut, as shown in figure. If the height of the cylinder is 3.6 cm, then find the total surface area of cone after cutting cylinder from it.
a) 112.5 π cm2
b) 115.2 π cm2
c) 110.5 π cm2
d) 105 π cm2
e) None of these
MENSURATION
(Set – 4)
1) If two cylinders, cylinder A and cylinder B having radius 18 cm and 15 cm respectively and height 25 cm and 26 cm respectively, is cut vertically from the middle into two halves, and any one half of the cylinder A is placed above any one half of the cylinder B such that the flat surfaces of both the halves are in contact, then find the cost of painting the total surface area of the structure formed at the rate of Rs. 2/cm^2. (Consider pie = 3)
a) Rs. 8432
b) Rs. 8726
c) Rs. 8694
d) Rs. 8824
e) None of these
2) If a cone is placed above a cylinder such that the centre of the circle of the cylinder coincides with centre of the circle of the cone, then find the total surface area of the structure formed. If the ratio of the height of cone and cylinder is 12 : 13 and radius of the cone and cylinder is 7 cm and 15 cm respectively. Difference between the height of the cone and radius of cylinder is 9 cm.( Height of cone is greater than radius of the cylinder.) (Consider pie = 3)
a) 4068 cm2
b) 4124 cm2
c) 3876 cm
d) 3988 cm2
e) None of these
3) Taps M, N and P are attached to a cone and a cylinder. Tap M and P fill at the rate of 6.5 litres/minute and 4.8 litres/minute, respectively whereas tap N empties at the rate of 3.6 litres/minute. All the 3 taps are opened for the cone whereas for the cylinder, only tap N and P are opened. In 4 minutes, what percentage approx. of the total quantity of the cone and cylinder combined will be filled by the taps. If the radio of the radius and height of cone and cylinder are 3 : 5 and 55 : 7 respectively. Difference between the radius of cone and cylinder is 14 cm and height of the cylinder is 7 cm less than its radius.
a) 30%
b) 14%
c) 27%
d) 22%
e) 17 %
4) A cone having height and radius, 16 cm and 63 cm respectively and a cylinder having radius and height, 28 cm and 18 cm respectively are completely filled with the mixture of oil and water. There is another cylinder X in which the ratio of oil and water is 15: 13 respectively. The total quantity of liquid in cylinder X is 50 times the total quantity in the cone and cylinder combined. What is the quantity of oil in cylinder X?
a) 7040 litres
b) 6620 litres
c) 5240 litres
d) 6160 litres
e) 5280 litres
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