CUET UG 2024 — Arithmetic

A train running at the speed of 80 km/h crosses a 350 m long tunnel in 36 seconds. The length of the train (in m) is:

In an examination, it is required to get 300 marks to pass. A student gets 225 marks and is declared fail by 10% marks. What are the maximum marks of the examination ?

A man can row a boat at 8 km/h in still water. If the speed of the water current is 2 km/h and it takes him 2 hours to row to a place and come back, then how far (in km) is the place ?

In a class of 40 students, ratio of boys and girls is 3:2 and the average marks scored by boys is 42 and that by girls is 46. Then the average marks scored by the whole class is :

If the mean of $3, 4, 9, 2k, 10, 8, 6$ and $(k + 6)$ is $8$, and mode of $2, 2, 3, 2p, (2p + 1), 4, 4, 5$ and $6$ is $4$ (p is a natural number), then the value of $(k - 2p)$ is:

A certain sum becomes ₹ 2,356 in 3 years and ₹ 2,660 in 5 years on simple interest. The value of sum is:

An item is sold for ₹ 504 after allowing 20% discount and still a profit of 5% has been earned. The marked price is how much more than the cost price ?

A tap can fill a tank in 6 hours. After half the tank is filled, three more similar taps are opened. What is the total time taken to fill the tank completely?

The sum of three numbers is $136$. If the ratio between the first number and the second number is $2 : 3$ and that between the second and the third number is $5 : 3$, then the first number is: