Applied Maths 3 Marks Question

Satyarth and Swarit are brothers, Satyarth owns a house which is worth a farmhouse which is worth ₹ 2.75 crores. But Satyarth has a debt of their properties then which of the following statement(s) holds true to mathematically: ₹ 3 crores and Swarit owns ₹ 55 lakhs, if they both sell represent the above data
a) Satyarth's net worth is more than Swarit's net worth.
b) Swarit's net worth is more than Satyarth's net worth.
c) 2.55 < 2.75

Arun started a business investing ₹ 38000. After 5 months Bakul joined him with a capital of ₹ 55000. At the end of the year the total profit was ₹ 22000. What is the approximate Activate difference between the shares of Arun and Bakul?

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

A,B and C enter into a partnership. B contributes 1/3 of the capital, while A contributes as much as B and C together contribute. Find the ratio of their capitals.

In a 900 metres race, A gives B a start of 150 metres and defeats him by 50 seconds. If the speed of A is 4.5m/sec then find the speed of B.

In a 1000 metres race, A can give a start of 100 metres to B and a start of 280 metres to C. In the same race, how much start can B give to C?

In a 1000 metres race, A defeats B by 300 metres and B defeats C by 200meters. In the same race by how many metres will A defeat C?

Two pipes A and B can fill a tank in 24 minutes and 32 minutes respectively. If both the pipes are opened simultaneously, after how much time B should be closed so that the tank is full in 18 minutes?

A cistern can be filled by an inlet pipe in 20 hours and can be emptied by an outlet pipe in 25 hours. Both the pipes are opened. After 10 hours, the outlet pipe is closed, find the total time taken to fill the tank.

Find the positive integers less than 50 forming the equivalence class 4 for modulo 6

Find the remainder when 226 x 369 x 122 x 461 x 1025 is divided by 8.

Find the remainder when (127 x137 x23 x50 x235x15) is divided by 7.

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

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?

Two pipes can fill a cistern in 8 and 12 hours respectively. The pipes are opened simultaneously and it takes 12 minutes more to fill the cistern due to leakage. If the cistern is full, what will be the time taken by the leakage to empty it?

A container contains 40 litre milk. From this container 4 litre milk was taken out and replaced with water. This process was repeated further two more times. How much milk is there in the container now?

A retailer has 250 kg of rice, a part of which he sells at 10% profit. The remaining quantity of rice is of low quality and he sold it at 5% loss. Overall he made a profit of 7%. Find the quantity of rice sold at 5% loss.

Find all the positive integers less than 30 forming the equivalence class of 5 for modulo 7.