List of top Mathematics Questions asked in CUET (UG)

If x=5t and \(y=\frac5t,\) then \(\frac{d^2y}{dx^2}\) at t=1 is

The variance of the number obtained in a throw of an unbiased die is:

If Laspeyre's index number is 225 and Paasche's index number is 144, then Fisher's ideal index number is:

By investing ₹4650 in a \(7 \frac{1}{2} \%\)% stock, a person obtains an income of ₹300. The market price of the stock is:

In how many ways can a committee of 7 members be selected from 6 men and 5 women consisting of 4 men and 3 women ?

The simple interest of Rs 6500 for \(1\frac{1}{2}\) years at 10% is

Two friends A and B invest in a business in partnership, B borrows 20% of A's salary, combines it with 60% of his salary and invest with A, who puts all of his remaining salary. One year later the ratio of profit A and B is 5:3 respectively and B returns Rs. 21000 to A which he borrowed from him. What is the difference between salary of A and B ?

The perimeter of one face of a cube is 24cm, its volume must be :

What is emprical relationship between mean, median and mode ?
A. Mean - mode = 3(Mean - Median)
B. Mode = Mean - Median
C. Mode = 3 Median - 2 Mean
D. Median - Mode = 3 (Mean - Median)
E. Mode = 2 Mean + 3 Median
Choose the correct answer from the options given below

A thief is spotted by a policeman from a distance of 100m. When the policeman starts the chase, the thief also starts running. If the speed of the thief be 8 km/hr and that of the policeman 10 km/hr, how far the thief will have run before he is overtaken ?

The perimeter of a square and a regular hexagon are equal. The ratio of the area of the hexagon the area of the square is :

The radius of the wheel of a vehicle is 35m. The wheel makes 10 revolutions in 6 seconds. The speed of the vehicle is :

A sum of money triples it self in 3 years at compound interest. In how many years will it becomes 9 times

Aman got 30% of the maximum marks in an examination and failed by 15% marks. However, Anil who took the same examination got 40% of the total marks and got 10 marks more than the passing marks. What were the passing marks in the examination ?

Akriti buys a smartphone for ₹ 12,500. If she wants to profit of 30%, how much should she charge for the smartphone ?

₹4200 are divided among ‘P’, ‘Q’, ‘R’ and ‘S’ in such a way that the shares of ‘P’ and ‘Q’. ‘Q’ and ‘R’ as well ‘R’ and ‘S’ are in the ratios of 2:3, 4:5 and 6:7 respectively, the share of ‘P’ is :

Work done by A in one day is half of the work by B in one day. Work done by B is half on the work done by C in one day. If C alone can do the work in 7 days, then in how many days can A, B and C together complete the work ?

A pair of dice is thrown and sum of the numbers on two tosses is observed. Which of the statements are correct

Diameter of sphere is 28 cm. Find out its surface area ?

Which two numbers are both square and cube numbers ?

In the given figure the value of angle ‘x’ is _________

A car costing ₹8,50,000 has scrap value of ₹1,25,000. If annual depreciation charge is ₹1,45,000, then useful life of the car is:

The following data are from a simple random sample: 1, 4, 7
The point estimate of the population standard deviation is:

A coin is tossed 5 times. The probability of getting atleast one head is:

If \(x = \frac{1}{t^2}\) and \(y =\frac{1}{t^3}\), then \(\frac{d^2y}{dx^2}\) at \(t=1\) is: