Mathematics ( A- D)

A number when divided successively by 4 and 5 leaves remainders 1 and 4 respectively, when it is successively divided by 5 and 4, what will be the respective remainders?

16 women take 12 days to complete a work which can be completed by 12 men in 8 days. 16 men started working and after 3 days 10 men left and 4 women joined them. How many days will they take to complete the remaining work?

Three cars leave A and B in equal time intervals. They reach B simultaneously and then leave for Point C which is 240km away from B. The first car arrives at C an hour after the second car. The third car, having reached C, immediately turns back and heads towards B. The first and the third car meet a point that is 80km away from C. What is the difference between the speed of the first and the third car?

A, B and C together start a business. The ratio of the investments of A, B and C is 0.125: 0.75 : 0.25. After 8 months A adds thrice amount of his earlier investment and C withdraws half of his earlier investment. At the end of the year, they earn a total profit of Tk. 58,000. What is B's share in the profit?

In a certain store, the profit is 320% of the cost. If the cost increases by 25% but the selling price remains constant, approximately what percentage of the selling profit?

Three vessels whose capacities are in the ratio of 3: 2:1 are completely filled with milk mixed with water. The ratio of milk to water in the mixture of vessels are as 5:2, 4:1 and 4:1 respectively. Taking of first, of second and of the third mixture, a new mixture kept in a new vessel is prepared. The percentage of water in the new mixture is