QUANTITATIVE APTITUDE - MENSURATION SET 07

 MENSURATION SET 07

1. The length and the breadth of a rectangular door are increased by 1 m each and due to this the area of the door increased by 21 sq. m. But if the length is increased by 1 m and breadth decreased by 1 m, area is decreased by 5 sq. m. Find the perimeter of the door.
A) 25 m        B) 20 m        C) 40 m        D) 60 m        E) 24 m
 

2. The perimeter of a rectangular plot is 340 m. Find the cost of gardening 1 m broad boundary around it at the rate of Rs 10 per sq. m.
A) Rs 3450    B) Rs 3400    C) Rs 3480    D) Rs 3440    E) Rs 3880
 

3. The sides of a triangle are in the ratio 3 : 4 : 5 whose area is 216 sq. cm. What will be the perimeter of this triangle?
A) 58 cm    B) 64 cm    C) 28 cm    D) 36 cm    E) 72 cm
 

4. If the base of a triangle is increased by 50% and its height is decreased by 50%, then what will be the effect on its area?
A) 50% decrease             B) 75% increase                C) No effect
D) 25% decrease             E) 25% increase
 

5. A rectangle whose sides are in the ratio 6 : 5 is formed by bending a circular wire of radius 42 cm. Find the largest side of the rectangle.
A) 60 cm    B) 72 cm    C) 66 cm    D) 78 cm    E) 84 cm
 

6. A rectangular sheet of 0.5 cm thickness is made from an iron cube of side 10 cm by hammering it down. The sides of the sheet are in the ratio 1 : 5. Find the largest side of the sheet.
A) 100 cm    B) 72 cm    C) 20 cm    D) 70 cm    E) 88 cm
 

7. The area of the inner part of a cylinder is 616 sq. cms and its radius is half its height. Find the inner volume of the cylinder.
A) 1577.5 cm^3                B) 1768.2 cm^3                C) 1538.5 cm^3
D) 1435.8 cm^3                E) 1238.5 cm^3
 

8. A cylinder and a cone have equal base and equal height. The ratio of the radius of base to height is 5 : 12. Find the ratio of the total surface area of the cylinder to that of the cone.
A) 7 : 15    B) 16 : 9    C) 17 : 9    D) 9 : 17    E) 15 : 7
 

9. A cone of radius 12 cm and height 5 cm is mounted on a cylinder of radius 12 cm and height 19 cm. Find the total surface area of the figure thus formed.
A) 2498 cm^2            B) 2400 cm^2            C) 2476 cm^2   
D) 2376 cm^2            E) 2546 cm^2
 

10. How many spherical balls whose radius is half that of cylinder can be formed by melting a cylindrical iron rod whose height is eight times its radius?
A) 44        B) 48        C) 60        D) 56        E) Cannot be determined

 

Answer Keys:
1. C
2. D
3. E
4. D
5. B
6. A
7. B
8. C
9. D
10. B