Class 12 Applied Maths Chapter 1

A person can row a boat 5 km an hour in still water. It takes him thrice as long to row upstream as to row downstream. Find the rate at which the stream is flowing.

• 2.5 km/hr

• 3 km/hr

• 1 km/hr

• 1.5 km/hr

A cistern can be filled by two pipes A and B in 12 minutes and 15 minutes respectively. Another tap C can empty the full tank in 20 minutes. If the tap C is opened 5 minutes after the pipes A and B are opened, find when the cistern becomes full?

• 8 min and 30 secs

• 7 min and 30 secs

• 6 min and 30 secs

• 9 min and 30 secs

In a 1000 metres race. A, B, and C get the gold, silver, and bronze medals, respectively. If A beats B by 100 metres and B beats C by 100 metres, then by how many metres does A beat C?

• 200 m

• 150 m

• 180 m

• 190 m

Priya can run 1 km in 3 min 10 sec and Preeti can cover the same distance in 3 min 20 sec. By what distance can Priya beat Preeti?

• 60 m

• 70 m

• 50 m

• 30 m

Two runners A and B complete a 100 metres race in 36seconds and 48 seconds respectively, by how many metres will A defeat B?

• 15 m

• 25 m

• 22.5 m

• 30 m

Three friends A,B and C enter into a partnership to run a café business.

A puts in Rs 5000 per month for the whole year, B contributes Rs 3000 per month at first and increases his contribution to Rs 4500 at the end of 4 months, while C puts in at first Rs 4000 per month and withdraws Rs 1000 at the end of nine months. How should they divide a profit of Rs 10200 at the end of the year?

• 4200, 3200 and 3000

• 4000, 3000 and 3000

• 4000, 3200 and 3200

• 4000, 3200 and 3000

P,Q and R jointly invested a total of Rs 64000 in a business. P invested Rs 6000 more than Q and Q invested 􏰀5000 more than R. Find the ratio of their capitals?

• 21:27:16

• 27:27:16

• 27:21:16

• 27:16:16

A runs 3 times as fast as B. If A gives B a start of 40metres, how far must the goal on the race course be so that A and B reach the goal at the same time?

• 50 m

• 60 m

• 100 m

• 80 m

A and B start a trading business with a capital of Rs 30000 and Rs60000 respectively. From the profit of entire year which is Rs18000, A gets Rs 8500 as his share of profit and salary for managing the business. What is the amount that A receives as his salary?

• Rs 3000

• Rs 2200

• Rs 2700

• Rs 2500

Rahul got Rs 5000 as his share out of the total profit of 􏰀9000. Ramesh had invested Rs 3000 for 6 months, while Rahul invested for the whole year. Find the amount invested by Rahul.

• Rs 1500

• Rs 1395

• Rs 1875

• Rs 1985