List of top Questions asked in CUET (UG)

Maximum slope of the curve \(y = -2x^3 + 6x^2 + 5x - 20\) is:

The number of phone calls (in thousands) are made by a telephone company for five weeks as given below:

Week	\(1\)	\(2\)	\(3\)	\(4\)	\(5\)
No. of Telephone calls	\(110\)	\(130\)	\(93\)	\(104\)	\(211\)

Taking a period of moving averages as 3 weeks, the graph of moving averages can be depicted directly as :

Which index number is used to compare cost of living at two different cities?

The demand function for a certain product is such that\(P(x) = 3x^2 - x + 200\), where \(x\) is the number of units of the product demanded and \(p(x)\) is the price per unit. Marginal revenue when 10 units are sold is:

The probability distribution of a discrete random variable \(X\) is given below :

\(X\)	\(2\)	\(3\)	\(4\)	\(5\)
\(P(X)\)	\(\frac5k\)	\(\frac7k\)	\(\frac9k\)	\(\frac{11}{k}\)

then the value of k is:

An open box with square base is to be made out of a given quantity of cardboard of area \(P^2\) sq. units. The maximum volume of the box is :

A sum of\( 10,000\) becomes \( 14,400\) on compound interest in \(2\) years. What is the rate of interest per annum?

The cost price 15 articles is equal to the selling price of 20 articles. Find the loss percentage.

If \(x=3at^2\), \(y=3at^4\) then \(\frac{dy}{dx}\) is:

In the equation of trend line \(y_t=a+bx\), a and b represent:

In the figure, O is centre of the circle. What is the measure of ∠ABC ?

Two years ago, population of a city was \(16,52,600 \)which increased by \( 10\%\) in the first year and by \(15\%\) in the second year. Find the present population of the city.

Shaloo sold a mobile phone for ₹ 1,950 at a loss of 25%. At what price should she have sold it to get a profit of 30% ?

The prices and the quantities of three commodities are given are :

The Laspeyre's price index number for year 2009 with year 2006 as base is 200. The value of \(x\) is:

If the function \(f(x)=\frac{k \sin x+2\cos x}{\sin x+\cos x}\) is increasing for all values of x, then

The vectors \(3\hat{i}-\hat{j}+2\hat{k},2\hat{i}+\hat{j}+3\hat{k}\) and \(\hat{i}+λ\hat{j}-\hat{k}\) are coplanar if λ is :

The points of non differentiability of \(f(x) = |x-2| + |x - 3|\)
A. 1
B. 2
C. 3
D. 4
E. 5
Choose the correct answer from the options given below:

The Tamil word "Puram" is used for a:

Which of the following book was written by David Hardiman?

Arrange the different stages of the discovering of Amaravati in a chronological order :
(A) In 1854, Walter Elliot visited Amaravati and collected several sculpture panels.
(B) The slabs from Amaravati were taken to different places like the India Office in Madras.
(C) A local Raja stumbled upon the ruins of the stupa at Amarvati.
(D) A British officer named Colin Mackenzie visited the site of Amaravati.
Choose the correct answer from the options given below :

When the sepoys began their action with a signal, what is the first thing they did during the Revolt of 1857?

Who was the officer of a Zamindar tasked with the collection of rent from the zamindari ?