1. A well 20 m in diameter is dug 14 m deep and the earth taken out is spread all around it to a width of 5 m to form an ambankment. The height of the embankment is:
(1) 10 m
(2) 11 m
(3) 11.2 m
(4) 11.5 m
2. The area of a rhombus is 150 cm^2. The length of one of its diagonals is 10 cm. The length of the other diagonal is:
(1) 25 cm
(2) 30 cm
(3) 35 cm
(4) 40 cm
3. A circular wire of radius 42 cm is bent in the form of a rectangle whose sides are in the ratio of 6 : 5. The smaller side of the rectangle is (take π=22/7)
(1) 60 cm
(2) 30 cm
(3) 25 cm
(4) 36 cm
4. If the radius of the base of a cone be doubled and height is left unchanged, then ratio of the volume of new cone to that of the original cone will be:
(1) 1 : 4
(2) 2 : 1
(3) 1 : 2
(4) 4 : 1
5. The perimeters of five squares are 24 cm, 32 cm, 40 cm, 76 cm and 80 cm respectively. The perimeter of another square equal in area to sum of the areas of these squares is:
(1) 31 cm
(2) 62 cm
(3) 124 cm
(4) 961 cm
6. The area of the incircle of an equilateral triangle of side 42 cm is (Take π=22/7):
(1) 231 cm^2
(2) 462 cm^2
(3) 22√3 cm^2
(4) 924 cm^2
7. The length of a rectangular hall is 5 m more than its breadth. The area of the hall is 750 m^2. The length of the hall is:
(1) 15 m
(2) 22.5 m
(3) 25 m
(4) 30 m
8. The number of revolution, a wheel of diameter 40 cm makes in travelling a distance of 176 m, is (take π=22/7)
(1) 140
(2) 150
(3) 160
(4) 166
9. The area of a triangle is 216 cm^2 and its sides are in the ratio 3 : 4 : 5. The perimeter of the triangle is:
(1) 6 cm
(2) 12 cm
(3) 36 cm
(4) 72 cm
10. A soap cake is of size 8 cm × 5 cm × 4 cm. The number of such soap cakes that can be packed in a box measuring 56 cm × 35 cm × 28 cm is:
(1) 49
(2) 196
(3) 243
(4) 343
Answers Key
1.(3)
2.(2)
3.(1)
4.(4)
5.(3)
6.(2)
7.(4)
8.(1)
9.(4)
10.(4)
1.(3)
2.(2)
3.(1)
4.(4)
5.(3)
6.(2)
7.(4)
8.(1)
9.(4)
10.(4)
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