List of top Questions asked in CUET (UG)- 2023

With reference to time series, match List I with List II

Choose the correct answer from the options given below:

Mr. Dileep Rao has set up a sinking fund so that he can accumulate \(₹ 10,00,000\) in \(10 \)years for his children's higher education. How much amount should Dileep Rao deposit at the beginning of each year to accumulate this amount at the end of\( 10\) years. If the interest rate is  compounded annually? Given that \((1.12)^{11}=3.477\) (Rounded off to the nearest paise)

Area of the region bounded by the curve |x|+|y|=1 and x-axis is :

The function \(f(x)= \frac{x^4}{4}-\frac{x^2}{2}\) has

A product costs the manufacturer ₹20 per unit. The demand function is given by p(x) = 1000-20x, then the quantity for maximum profit is:

A doll making small-scale unit calculates the variable cost of making x number of dolls per day as three times the square of \(x\). The fixed cost of packaging x dolls is  \(₹ 2800\). The marginal cost of producing 120 dolls:

Principal value of \(\tan^{-1}(\sqrt3)+\tan^{-1}(1)\) is :

Angle between tangents to the curve y=x²-5x+6 at the points (2, 0) and (3, 0) is:

The area of a circle is \(154 \text{ }cm^2\). Find the circumference of the circle. Take \(\pi=\frac{22}{7}\)

If the order of a matrix A is 2 × 3, the order of matrix B is 3 × 4 and the order of matrix C is 3 × 4, then the order of the matrix (A, B).C^T is

If Mr. Ravi borrows a sum of ₹1,50,000 at an interest rate of 10% (flat) for a tenure of 3 years, then his EMI based on above data is (approximately) ₹:

A student goes to school from his residence at a speed of \(2\frac{1}{2}\) km/h and reaches school 6 minutes late. If he travels at a speed of 3 km/h, he reaches 10 minutes before time. What is the distance of his school from his residence ?

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

The maximum value of Z=5x+3y subject to the constraints \(2x+4y \leq16,\) \(3x+y\leq9\). \(x,y\geq0\) is:

Shyam takes a loan of ₹5,00,000 with 8% annual interest rate for 10 years. The value of EMI under flat rate system is :

Match List I with List II

Choose the correct answer from the options given below:

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 slope of normal to the curve \(y = 3x^2-6x\) at x = 0 is:

If \(\frac{x+y}{x-y}+\frac{x-y}{x+y}=\frac{10}{3}\),then \(\frac xy=\)

If \(A: B: C=1:4: 7 \) and \(B = (2x) % \)\(%\)\(\%\)of \((A+C)\), then \(x \) is :

The shortest distance between the lines \(\frac{x + 3}{1} = \frac{y-2}{2} = \frac{z+4}{3} \space and \space  \frac{x+3}{-3} = \frac{y+7}{2} = \frac{z-6}{4}\) is: =

If \(f(x)=e^x\) and \(g(x)=log_{e}{x}=lnx  \) then \((gof)(x) \) is

The following data is taken from a simple random sample :
3, 7, 5, 9, 15, 11, 8, 4, 6, 2
The point estimate of the population standard deviation is :

If the selling price is doubled, the profit triples. Find the profit % :

A tank can be filled by two pipes A and B in 18 minutes and 24 respectively. Another tap C can empty the full tank in 36 mintues. If the tap C is opened 6 minutes after the pipes A and B are opened, the tank will become full in a total of :