Arithmetic PYQ — Page 5

A fisherman is rowing a boat. He takes 6 hours to row 48 km upstream whereas he takes 3 hours to go to the same distance downstream. Based on the above information, which of the following are correct? (A) His speed of rowing in still water is 10 km/hour. (B) The speed of the stream is 3 km/hour. (C) The average speed of the fisherman is 32/3 km/hour. (D) The speed of the stream is 4 km/hour. Choose the correct answer from the options given below:

A boat covers 32 km upstream and 36 km downstream in 7 hours. Also, it covers 40 km upstream and 48 km downstream in 9 hours. The speed of the boat in still water is:

Arun's speed of swimming in still water is $5 \mathrm{~km} / \mathrm{hr}$. He swims between two points in a river and returns back to the same starting point. He took $20$ minutes more to cover the distance upstream than downstream. If the speed of the stream is $2 \mathrm{~km} / \mathrm{hr}$, then the distance between the two points is :

In a $700 \mathrm{~m}$ race, Amit reaches the finish point in $20$ seconds and Rahul reaches in $25$ seconds. Amit beats Rahul by a distance of :

The least non-negative remainder when $3^{51}$ is divided by $7$ is :

A mixture contains apple juice and water in the ratio $10: \mathrm{x}$. When $36$ litres of the mixture and $9$ litres of water are mixed, the ratio of apple juice and water becomes $5: 4$. The value of $x$ is :

Two pipes A and B together can fill a tank in $40$ minutes. Pipe A is twice as fast as pipe B. Pipe A alone can fill the tank in :

If $x$ is the least positive integer satisfying $100 \equiv x \pmod{6}$, then $(2x+1)$ is equal to :

The quantity of water that must be added to 36 litres of milk at $2\frac{1}{2}$ litres for ₹ 120 so as to have mixture worth ₹ 36 for a litre is :

A motor boat covers 16 km in 2 hours downstream and 14 km in 2 hours upstream. The speed of the motor boat is :

Two pipes A and B can fill a cistern in 15 minutes and 30 minutes respectively. Both pipes are opened together, but after 5 minute pipe B is turned off. The cistern will be full in total :

In a partnership, A invests one-fourth of the capital for one-third of the time, B invests one-third of the capital for one-fourth of the time and C invests the rest of the capital for the whole time. Out of a profit of ₹ 3,500, A's share is :