List of top Questions asked in CUET (UG)

If \(\frac{x}{(b + c)(b + c - 2a)} = \frac{y}{(c - a)(c + a - 2b)} = \frac{z}{(a - b)(a + b - 2c)}\), then the value of \(x + y + z\) is:

How many 3 digit even numbers can be formed from the digits (0-9) if repetition of digits are allowed?

The sum of an Infinite geometric series is 4 and the sum of the cubes of the terms of the same GP is 192. The Common Ratio of the original geometric series is :

A bag contains 6 red, 4 blue and 10 white balls. A ball is picked from the bag at random What is the probability that it is neither white nor blue?

The volume of a sphere of radius r is obtained by multiplying its surface area with :

Find the area of an equilateral triangle each of whose sides measures 4 cm :

If CE||DB, what is the value of x:

A man standing on the bank of a river observes that the angle subtended by a tree standing on the opposite bank is 60° on his side of Bank. When he moved away 24 m from the bank, he finds the angle to be 30°. Find the breadth of the river:

Which of the following statements are incorrect?
(A) Volume of a cone = \(\frac{1}{3} \pi r^3 h\)
(B) Volume of a cone = \(\frac{1}{3} \pi r^2 h\)  
(C) Volume of a hemisphere = \(\frac{2}{3} \pi r^2\)  
(D) Volume of a hemisphere = \(\frac{2}{3} \pi r^3\)  
(E) Volume of a cylinder = \(\frac{1}{3} \pi r^3 h\)  
Choose the correct answer from the options given below:

The difference between two numbers is 24. If one number is 2 times the second. Then the two numbers will be:

Which of the following statements are incorrect?(A) Volume of a cone = \(\frac{1}{3} \pi r^3 h\) (B) Volume of a cone = \(\frac{1}{3} \pi r^2 h\)  (C) Volume of a hemisphere = \(\frac{2}{3} \pi r^2\)  (D) Volume of a hemisphere = \(\frac{2}{3} \pi r^3\)  (E) Volume of a cylinder = \(\frac{1}{3} \pi r^3 h\)  Choose the correct answer from the options given below:

Which of the following is correct for standard deviation, where \(\bar{X}\) = mean 

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:

A motor boat covers 16 km in 2 hours downstream and 14 km in 2 hours upstream. The speed of the motor boat is:

The maximum profit that a company can make if the profit function is given by
\(P(x)=32+24x-18x^2\) is:

For x+y=8, the maximum value of xy is:

For matrix \(A = \begin{bmatrix}3&1\\ 7&5\end{bmatrix}\), the values of x and y so that \(A^2+xI=yA\) are:

Let A and B be symmetric matrices of same order, then which of the following statement is true?

If \(x^{\frac{3}{4}}+y^{\frac{3}{4}}=a^{\frac{3}{4}}\) (a is a constant) then \(\frac{dy}{dx}\) is equal to :

If \(A = \begin{bmatrix} 4&5&2\\ 3&-1&7\end{bmatrix}\), then the sum of the elements of the matrix AA^T is:

If the mean of the probability distribution is 5, then the value of k is:

For the LPP Max Z=3x+4y, x+y≤40; x+2y≤ 60, x≥0, y≥0 the solution is: