List of top Questions asked in CUET (UG)

The index number of base yera is :
The maximum value of\( z=2.5x+y\) subject to the constraints \( x+3y\leq12, 3x+y\leq12, x, y\geq0, \) is: 
The volume of a spherical balloon is increasing at the rate of \( 6 cm^3/sec\). The rate of change of its surface area when its radius 2 cm is:
Subodh took a loan of \( ₹ 10,00,000 \) at \(14\%\) annual interest rate for\( 8\) years. His equated monthly instalment under flat rate system is :
The point estimate for the mean number of sales of cars for the following data 103, 140, 92, 115, 110, is:
The investment in buying \(525\) shares of \(₹ 100\) each at  \(₹ 12\) premium is : 
At what rate of interest will the present value of a perpetuity of \(₹ 1000\), payable at the end of every quarter be \(₹ 20000\)
The rate of interest used to discount the bond's cash flow is known as:
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)
If the objective function for an LPP is \( z=3x-4y \) and corner points for bounded feasible region are \((5, 0) (6, 5) \)and \((4, 10)\), then:
(A) maximum value of \(z\) is \(2\)
(B)minimum value of\( z\) is \(2\)
(C) maximum value of \(z \)is at \((5, 0)\)
(D) no maximum value of\( z\)
(E)maximum value of \(z\) is \(15\)
Choose the correct answer from the options given below:
The price relation for year \(2020\) with reference to year \(2010\) is \(117\). Correct interpretation of the given information is :
The least value of positive integer \(m\) for which \(361=1 \) mod(\(m\)) is Not True, is:
Match List - I with List - II.
List - IList -II
(A) t-distribution (I)sample size\(\geq30\)
(B) Sample mean (II)\(X\)
(C) Population mean (III)degree of freedom  
(D)Z-distribution(IV)\(\mu\)
Choose the correct answer from the options given below:
he trend line for the sales (in lakhs) is given by \(y_c=84+12(x-2017).\) The estimated sale for theyear \(2024 \) is :
Which of the following can be the probability distribution of a random variable ?
The mean and variance of a Binomial distribution are \(4\) and \(\frac43\) respectively, then the value of \(P(X\geq1)\) is:
Three pipes A, B and C can fill an empty tank together in 8 hours. After working at it together for 2 hours B is closed and A and C can fill the remaining part in 9 hours. Pipe B can fill the empty tank in :
A shopkeeper purchases 40 kg of rice at the rate of \(₹ 35\) per kg and \( 50\) kg of rice at the rate of \(₹ 40 \)per kg. If he sells the mixture to make a profit of \(20\%\), the corresponding selling price for this transaction is:
If \( \frac {2-x}{4}-\frac{4+x}{6}\geq10 \) then :
If A and B are symmetric matrices, then which statements are correct?
(A) \((A-B)' = B' - A'\)
(B) \((AB+BA)\) is symmetric matrix
(C) \((AB)'= B'A'\)
(D)\( A'B' = B'A'\)
(E)\( (AB-BA) \)is skew symmetric matrix
Choose the correct answer from the options given below:
A boat goes upstream at \(\frac b2 km/hr\) and downstream at \(\frac a2 km/hr\).The speed of boat in still water in km/hr is :
Match List - I with List - II.
List - IList -II
(A) Null Matrix(I)\(P(A)+P(B)\)
(B) Scaler Matrix(II)\(P(A)+P(B)-2P(A\cap B)\)
(C) Skew-symmetric matrix(III)\(P(B)-P(A\cap B)\)
(D)Symmetric Matrix(IV)\(P(B)-P(A\cap B)\)
Choose the correct answer from the options given below:
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:
If \(I=\int_{0}^{4}  \frac{\sqrt{x}}{\sqrt{x}+\sqrt{4-x}}dx\), then 8\(I\) is:
The area of the region \(\{(x, y) : x^2 + y^2 \leq 2ax, y^2 > ax, x \geq 0, y \geq 0\} \text{ where } a > 0\) , is :