CUET (UG) entrance exam Question Bank Solutions

If 'Q' means '−', 'B' means '×', 'A' means '÷' and 'F' means '+', then-

12 B 20 A 4 Q 10 F 30 = ? 

The constitution of India was adopted on:

Two buses start from opposite points towards each other on a main road, 185 km apart. The first bus runs for 35 km and takes a right turn and runs for 17 km. It then turns left and runs for another 42 km and takes the direction back to reach the main road, in the meantime, due to a minor breakdown, the other bus has run only 36 km along the main road. What would the distance between the two buses be at this point?

Mukesh was facing the south. He walked 5 km straight and from there he turned at a 90° angle to his right and walked 5 km. Then he turned at a 45° angle to his left and walked 3 km. Where will he be from his actual position?

A wristwatch reads 7.30 am. If the hour hand points southwest, then in what direction will the minute hand point after 15 minutes?

The profit earned by a company is to be divided among three friends who invested their money in the company, in the proportion of 6:9:11. If the share of the person who invested the most is ₹2,310, then what is the sum of the money (in ₹) received by the other two friends?    

A, B, and C divided the profit in the ratio of 3:4:5. If their total investment is ₹1,44,000, then B's investment will be:  

P and Q started a business with an equal capital P withdrew from the business at the end of 4 months. If at the end of the year, the business made a profit of ₹6,400, then the share of P is:  

Radha and Vatsal invested ₹36,000 and ₹42,000, respectively, in a business. Radha, being an active partner, got ₹637.50 extra every month for running the business. ln 3 years, if Radha received a total of ₹31,500, then what was the profit earned by Vatsal during this period? 

Ramani started a business with a capital of ₹8,000. Vanita joined the business after 4 months with a capital of ₹6,000. At the end of one year of business if they earned a profit of ₹3,600, then the share of Vanita is:

A, B, and C invested their capital in the ratio of 2 : 3 : 5. The ratio of months for which A, B, and C are invested is 4 : 2 : 3. If C gets a share of profit that is ₹1,47,000 more than that of A, then B's share in the profit is ______

Sujal is a good runner who walked 8 km towards the north from point A. He then turned around and started running back at the speed of 6 km/hour. How far would Sujal be from point A after running for 10 minutes?

Rs. 15,000 was invested by A and B together to start a small business. They got a profit of Rs. 2,000 at the end of the year. B took his profit share of Rs. 600. How much did A invest?

'A' started a business with a capital of ₹ 54,000 and admitted 'B' and 'C' after 4 months and 6 months, respectively. At the end of the year, the profit was divided in the ratio 1 : 4 : 5. What is the difference between the capitals invested by 'B' and 'C'?

The ratio of investment by A to that by B in a business is 14 : 15 and the ratio of their respective profits at the end of a year is 2 : 5. If A invested the money for 3 months, then for how much time (in months) B invested his money?

A and B invest in a business in the ratio 2 : 5. If 50% of the total profit goes to charity and A's share is Rs. 3.6 lakhs, the total profit is Rs. ______ lakhs.

A, B and C started a business. Thrice the investment of A is equal to twice the investment of B and also equal to four times the investment of C. If C's share out of the total profit is ₹ 4,863, then the share of A in the profit is ______.

A. B and C invest in a business in the ratio 4 : 5 : 7. C is a sleeping partner, so his share of profit will be half of what it would have been if he were a working partner. If they make Rs. 36,000 as an annual profit of which 25% is reinvested in the business, how much does B get (in Rs.)?

A starts a cement trading business by investing Rs. 5 lakhs. After 2 months, B joins the business by investing Rs. 10 lakhs and then 4 months after B joined C too joins them by investing Rs. 20 lakhs. 1 year after A started the busi- ness they make Rs. 3,50,000 in profit. What is B's share of the profit (in Rs.)?

A, B and C started a business With their capitals in the ratio 2 : 3 : 5. An increased his capital by 50% after 4 months, B increased his capital by `33 1/3`%  after 6 months and C withdrew 50% of his capital after 8 months, from the start of the business. If the total profit at the end of a year was ₹ 86,800, the difference between the shares of A and C in the profit was ______.