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1.  Half cubic metre of gold sheet is extended by hammering so as to cover an area of 1 hectare. The thickness of the sheet is :


0.0005 cm
0.005 cm
0.05 cm
0.5 cm


Answer

 Option

Volume of gold         = (1⁄2 * 100 * 100 * 100 ) cm3.
Area of Sheet          = 10000 m2 = (10000 * 100 * 100) cm2
Thickness of the sheet = (1 * 100 * 100 * 100⁄2 * 10000 * 100 * 100) cm= 0. 005 cm.

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2.  If a metallic cuboid weighs 16 kg, how much would a miniature cuboid of metal weigh, if all dimensions are reduced to one-fourth of the original ?


0.25 kg
0.50 kg
0.75 kg
1 kg


Answer

 Option

Let the dimensions of the bigger cuboid be x, y and z.
Then, Volume of the bigger cuboid = xyz.
Volume of the miniature cuboid    = (1⁄4x) (1⁄4y) (1⁄4z) = 1⁄64xyz.
Weight of the miniature cuboid     = (1⁄64 * 16) kg = 0.25 kg.

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3.  A cistern capacity 8000 litres measures externally 3.3 m by 2.6 m by 1.1 m and its walls are 5 cm thick. The thickness of the bottom is :


90 cm
1 dm
1 m
1.1 m


Answer

 Option

Let the thickness of the bottom be x cm.
Then, [(330 - 10) * (260 - 10) * (110 - x) = 8000 * 1000.
      320 * 250 * (110 - x) = 8000 * 1000 
                (110 - x) = 8000 * 1000⁄320 * 250 = 100.
                          x = 10 cm = 1 dm.

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4.  A hall is 15 m long and 12 m broad. If the sum of the areas of the floor and the ceiling is equal to the sum of the areas of the four walls, the volume of the hall is :


720
900
1200
1800


Answer

 Option

2(15 + 12) * h = 2(15 * 12) or h = 180⁄27 m = 20⁄3 m.
Volume         = (15 * 12 * 20⁄3) m3 = 1200 m3.

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5.  The capacity of a tank of dimensions (8 m * 6 m * 2.5 m) is


120 litres
1200 litres`
12000 litres
120000 litres


Answer

 Option

Capacity of the bank = Volume of the tank
                     = (8*100*6*100*2.5*100 ⁄ 1000) litres = 120000 litres.

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