Aptitude Contest - 9 With Answers

[pooja]

1. The area of a field in the shape of a trapezium measures 1440 m2. The perpendicular distance between its parallel sides is 24 m. If the ratio of the parallel sides is 5 : 3,the length of the longer parallel side is :

(a) 45 m
(b) 60 m
(c) 75 m
(d) 120 m

[pooja]

2. The cross-section of a cana! is trapezium in shape. The canal is 12 m wide at the top and 8 m wide at the bottom. If the area of the cross-section is 840 sq. m. the depth of the canal is :
(a) 8.75 m
(b) 42 m
(c) 63 m
(d) 84 m

[pooja]

3. The area of a circle of radius 5 is numerically what percent of its circumference?
(a) 2.00
(b) 225
(c) 240
(d) 250

[rathour]

1. The area of a field in the shape of a trapezium measures 1440 m2. The perpendicular distance between its parallel sides is 24 m. If the ratio of the parallel sides is 5 : 3,the length of the longer parallel side is :
(a) 45 m
(b) 60 m
(c) 75 m
(d) 120 m
2. The cross-section of a cana! is trapezium in shape. The canal is 12 m wide at the top and 8 m wide at the bottom. If the area of the cross-section is 840 sq. m. the depth of the canal is :
(a) 8.75 m
(b) 42 m
(c) 63 m
(d) 84 m
3. The area of a circle of radius 5 is numerically what percent of its circumference?
(a) 2.00
(b) 225
(c) 240
(d) 250
4. A man runs round a circular field of radius 50 m at the speed of 12 kIn I hr. What is the time taken by the man to take twenty rounds of the field?
(a) 30 min.
(b) 32 min.
(c) 34 min.
(d) None of these
5. A cow is tethered in the middle of a field with a 14 feet long rope. If the cow grazes 100 sq. ft. per day, then approximately what time will be taken by the cow to graze the whoe field ?
(a) 2 days
(b) 6 days
(c) 18 days
(d) 24 days
(e) None of these

[rathour]

6. A right circular cone and a right circular cylinder have equal base and equal height .If the radius of the base and the height are in the ratio 5 : 12, then the ratio of - total surface area of the cylinder to that of the cone is :
(a) 3 : 1
(b) 13 : 9
(c) 17 : 9
(d) 34 : 9

[rathour]

7. A, Band C jointly thought of engaging themselves in a business venture. It was agreed that A would invest Rs. 6500 for 6 months, B, Rs. 8400 for 5 months and C, Rs. 10,000 for 3 months. A wants to be the working member for which he was to receive 5% of the profits. The profit earned was Rs. 7400. Calculate the share of B in the profit.

(a) Rs. 1900
(b) Rs. 2660
(c) Rs. 2800
(d) Rs. 2840

8. X and Y invested in a business. They earned some profit which they divided in the ratio of 2 : 3. If X invested Rs. 40,000, the amount invested by Y is :
(a) Rs. 45,000
(b) Rs. 50,000
(c) Rs. 60,000
(d) Rs. 80,000

9. Manick received Rs. 6000 as his share out of the total profit of Rs. 9000 which he and Raunaq earned at the end of one year. If Manick invested Rs: 20,000 for 6 months,whereas Raunaq invested his amount for the whole year, what was the amount invested by Raunaq ?
(a) Rs. 4000
(b) Rs. 5000
(c) Rs. 6000
(d) Rs. 9000

[rathour]

10. A and B started a business jointly. A's investment was thrice the investment of B and the period of his investment was two times the period of investment of B. If B recived Rs. 4000 as profit, then their total profit is :


(a) Rs. 16,000


(b) Rs. 20,000


(c) Rs. 24,000


(d) Rs. 28,000

[xelvaaaa]

HI FRENZS..
A SMALL MISTAKE HERE PLZ NOTE IT : CORRECTLY
ratio of inverstments of A,B,C = (6500*6):(8400*5):(10000*3)=13:14:10
B's share = 7400 * 14/17 = 2800
(WRONGLY WRITTEN , CORRECT VALUE IS 37 INSTEAD OF 17.)
B SHARE :7400*(14/37)=2800