APTITUDE QUIZ 2

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APTITUDE QUIZ

 

  1. The curved surface of a right circular cone of height 15 cm and base diameter 16 cm is:

A.116πcm2116πcm2

B.122πcm2122πcm2

C.124πcm2124πcm2

D.136πcm2136πcm2

 

  1. Find the surface area of a 10cm*4cm*3cm brick.

A.154 cm square

B.156 cm square

C.160 cm square

D.164 cm square

 

  1. A hemisphere and a cone have equal bases. If their heights are also equal, then the ratio of their curved surface will be :

A.2:12:1

B.1:2–√1:2

  1. 2–√:12:1

D.3–√:1

 

  1. A hollow iron pipe is 21 cm long and its external diameter is 8 cm. If the thickness of the pipe is 1 cm and iron weights 8g/cm cube, then find the weight of the pipe.

A.3.696 kg

B.3.686 kg

C.2.696 kg

D.2.686 kg

 

  1. A cistern 6 m long and 4 m wide contains water up to a breadth of 1 m 25 cm. Find the total area of the wet surface.

A.42 m sqaure

B.49 m sqaure

C.52 m sqaure

D.64 m square

 

  1. The surface area of a sphere is same as the curved surface area of a right circular cylinder whose height and diameter are 12 cm each. The radius of the sphere is:

A.4 cm

B.6 cm

C.8 cm

D.10 cm

 

  1. The volume of the largest right circular cone that can be cut out of a cube of edge 7 cm is:

A.79.8cm379.8cm3

B.79.4cm379.4cm3

C.89.8cm389.8cm3

D.89.4cm389.4cm3

 

  1. The radii of two cones are in ratio 2:1, their volumes are equal. Find the ratio of their heights.

A.1:4

B.1:3

C.1:2

D.1:5

 

  1. How many cubes of 10 cm edge can be put in a cubical box of 1 m edge.

A.10000 cubes

B.1000 cubes

C.100 cubes

D.50 cubes

 

  1. If the volume of two cubes are in the ratio 27:1, the ratio of their edges is:

A.3:1

B.3:2

C.3:5

D.3:7

 

  1. If a right circular cone of height 24 cm has a volume of 1232 cm cube, then the area of its curved surface is :

A.450cm2450cm2

B.550cm2550cm2

C.650cm2650cm2

D.750cm2750cm2

 

  1. 66 cubic centimetres of silver is drawn into a wire 1 mm in diameter. The length if the wire in meters will be:

A.76 m

B.80 m

C.84 m

D.88 m

 

  1. A cone of height 9 cm with diameter of its base 18 cm is carved out from a wooden solid sphere of radius 9 cm. The percentage of the wood wasted is :

A.45%

B.56%

C.67%

D.75%

 

  1. Two right circular cylinders of equal volumes have their heights in the ratio 1:2. Find the ratio of their radii.

A.3–√:13:1

B.7–√:17:1

C.2–√:12:1

D.2:12:1

 

  1. A boat having a length 3 m and breadth 2 m is floating on a lake. The boat sinks by 1 cm when a man gets into it. The mass of the man is :

A.50 kg

B.60 kg

C.70 kg

D.80 kg

 

  1. A swimming pool 9 m wide and 12 m long is 1 m deep on the shallow side and 4 m deep on the deeper side. Its volume is:

A.260

B.262

C.270

D.272

 

  1. The slant height of a conical mountain is 2.5 km and the area of its base is 1.54 km square. The height of mountain is :

A.2.3 km

B.2.4 km

C.2.5 km

D.2.6 km

 

  1. The perimeter of one face of a cube is 20 cm. Its volume will be:

A.125cm3125cm3

B.400cm3400cm3

C.250cm3250cm3

D.625cm3

 

  1. A metallic sheet is of rectangular shape with dimensions 48 m x 36 m. From each of its corners, a square is cut off so as to make an open box. If the length of the square is 8 m, the volume of the box (in m cube) is:

A.4120 m cube

B.4140 m cube

C.5140 m cube

D.5120 m cube

 

  1. The cost of the paint is Rs. 36.50 per kg. If 1 kg of paint covers 16 square feet, how much will it cost to paint outside of a cube having 8 feet each side.

A.Rs. 850

B.Rs. 860

C.Rs. 876

D.Rs. 886

 

-:ANSWERS:-

1.Option D

2.Option D

3.Option C

4.Option A

5.Option B

6.Option B

7.Option C

8.Option A

9.Option B

10.Option A

11.Option B

12.Option C

13.Option D

14.Option C

15.Option B

16.Option C

17.Option B

18.Option A

19.Option D

20.Option C

 

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