SSC CGL Tier-2 01-December-2016 Maths

Instructions

For the following questions answer them individually

Question 51

A hollow cylindrical tube 20 cm long is madeofiron andits external and internal diameters are 8 cm and 6 cm respectively. The volume (in cubic cm) of iron used in making the tube is (Take $$ \pi = \frac{22}{7} $$)

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Question 52

 If the areas of three adjacent faces of a rectangular box which meet in a corner are $$ 12 cm^2,   15 cm^2    and   20 cm^2$$  respectively. Then the volume of the box is

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Question 53

The ratio between the length and the breadth of a rectangular park is 3 : 2. If a man cycling along the boundaryof the park at the speed of 12 km/hour completes one round in 8 minutes, then the area of the park is

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Question 54

If the radius of a right circular cylinder open at both the ends, is decreased by 25% and the height of the cylinder is increased by 25%. Then the curved surface areaofthe cylinder thus formed

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Question 55

A cylindrical pencil of diameter 1.2 cm has one of its end sharpened into a conical shape of height 1.4 cm. The volume of the material removed is

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Question 56

A rectangular park 60 m long and 40 m wide has two concrete crossroads running in the middle of the park and rest of the park has been used as a lawn. If the area of the lawn is 2109 $$m^2$$ then the width of the road is

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Question 57

Four circles of equal radii are described about the four corners of a square so that each touches two of the other circles. If each side of the square is 140 cm then area of the space enclosed between the circumference of the circle is (take $$\pi = \frac{22}{7}$$)

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Question 58

The amount of concrete required to build a concrete cylindrical pillar whose base has a perimeter 8.8 metre and curved surface area 17.6 sq. metre, is (Take $$\pi = \frac{22}{7}$$)

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Question 59

A hemispherical bowlof internal radius 9 cm, contains a liquid. This liquid is to befilled into small cylindrical bottles of diameter 3 cm and height 4 cm.Then the numberof bottles necessary to empty the bowlis

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Question 60

A rectangular water tank is 80 m $$x\times$$ 40 m. Water flows into it through a pipe of 40 sq.cm at the opening at a speed of 10 km/hr. The water level will rise in the tank in half an hour is

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