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Mensuration

Important Instructions
71.

The area of the base of a rectangular tank is 6500 cm⊃2; and the volume of water contained in it is 2.6 cubic meters. The depth of water in the tank is:

Answer: B

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72.

An order was placed for the supply of a carpet whose breadth was 6 m and length was 1.44 times the breadth. What be the cost of a carpet whose length and breadth are 40% more and 25% more respectively than the first carpet. Given that the ratio of carpet is Rs. 45 per sq m?

Answer: D

Length of the first carpet = (1.44)(6) = 8.64 cm

Area of the second carpet = 8.64(1 + 40/100) 6 (1 + 25/100)

= 51.84(1.4)(5/4) sq m = (12.96)(7) sq m

Cost of the second carpet = (45)(12.96 * 7) = 315 (13 - 0.04) = 4095 - 12.6 = Rs. 4082.40

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73.

If radius is 21 cm and angle at center of circle is 140° then length of arc is

Answer: C

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74.

By converting π⁄3 from radians to degrees, answer will be

Answer: D

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75.

If the edge of a cube is 1 cm then which of the following is its total surface area?

Answer: C

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76.

Water flows into a tank 200 m × 150 m through a rectangular pipe 1.5 m × 1.25 m @ 20 kmph. In what time (in minutes) will the water rise by 2 meters?

Answer: D

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77.

Considering radian, value of tan 1.1 is

Answer: A

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78.

Two metallic right circular cones having their heights 4.1 cm and 4.3 cm and the radii of their bases 2.1 cm each, have been melted together and recast into a sphere. Find the diameter of the sphere.

Answer: C

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79.

If the radius of a sphere is increased by 50%, find the increase percent in volume and the increase percent in the surface area.

Answer: D

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80.

Half cubic meter of the gold sheet is extended by hammering so as to cover an area of one hectare. The thickness of the sheet is:

Answer: B

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