When a bus started from the first stop, the number of male passengers to the number of female passengers was 3:1. At the first stop 16 passengers got down and 6 more females passengers got in. the ratio of the male to female passengers now become 2:1. What was the total number of passengers in the bus when it started from the first stop?
Answer: A Let initially the number of male and females in the bus be 3x and x respectively. Total passengers = 4x At the first stop, male passengers = (4x-16)*3/4 = 3x-12 female passengers = (4x-16)*1/4 + 6= x+2 Given, (3x-12)/(x+2) =2/1 => x=16 Thus total numbers of passengers initially = 16*4= 64.
Q. No. 8:
A bag contains Rs 216 in the form of one rupee, 50 paise and 25 paise coins in the ratio 2:3:4. The number of 50 paise coins is
Answer: B Amount of 50 paise coins = 3/9 * 216 = Rs 72 Number of 50 paise coins =72*2 =144(As Re 1 has two fifty paise coins).
Q. No. 9:
The ratio of the rate of flow of water in pipes varies inversely as the square of the radius of the pipes. What is the ratio of rates of flow in two pipes diameter 2 cm and 4 cm.?
Answer: D Radius of two pipes = 1cm and 2cm Required ratio = 1: 1/4 => 4:1
Q. No. 10:
Given that 24 carat gold is pure gold, 18 carat gold is 3/4 gold and 20 carat gold is 5/6 gold, the ratio of the pure gold is 18 carat gold to the pure gold in 20 carat is
Answer: B Given, 18 carat = 3/4 pure gold = 3/4 *24 =18 20 carat = 5/6 pure gold = 5/6 * 24 = 20 Required ratio = 18:20 = 9:10
Q. No. 11:
Three containers A,B and C are having mixtures of milk and water in the ratio 1:5, 3:5 and 5:7 respectively. If the capacities of the containers are in the ratio 5:4:5, then find the ratio of the milk to the water if the mixtures of all the three containers are mixed together
Answer: C Ratio of milk and water => (1/6 * 5 + 3/8 * 4 + 5/12 * 5) : (5/6 * 5 + 5/8 * 4 + 7/12 * 5) => 106 : 230 => 53:115
Q. No. 12:
A begun a business with Rs 4500 and was joined after wards by B with Rs 5400. If the profit at the end of the year were divided in the ratio 2:1, B joined the business after