CUET (UG) entrance exam Question Bank Solutions for General Test

If `(a + 1/a)^2` = 3, then the value of `a^3 + 1/a^3` is

A two-digit number is thrice the sum of the digits. If 9 is subtracted from the number, it becomes twice the sum of the digits. Find the digit in the unit's place.

A has a total of 21 coins, comprising ₹ 5, ₹ 2 and ₹ 1 coins. Find the minimum no. of ₹ 1 coins with A if he has at least one coin of each, and the value of coins is ₹ 42.

If `x^4 + 1/x^4` = 119 and `x > 1`, then find the positive value of `x^3 - 1/x^3`.

If a represents ÷, b represents +, c represents − and d represents × then,

24 a 6 d 4 b 9 c 8 =?

Put the correct mathematical signs in the following equation from the given alternatives.

33 ? 11 ? 3 ? 6 ? = 115

If 'A # B' means 'A is greater than B', 'A $ B' means 'A is smaller than B' then what is the meaning of 'P # N $ Q'?

If '÷' means '+'; '−' means '×'; '+' means '−' and '×' means '÷', then-

14 − 4 × 7 ÷ 12 + 8 =?

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?