List of top Mathematics Questions asked in CUET (UG)

A man spends 60% of his income and saves the remaining. His income increases by 28% and his expenditure also increases by 30%. Find the percentage increase in his savings.

In a partnership, A invests one-fourth of the capital for one-third of the time, B invests one-third of the capital for one-fourth of the time and C invests the rest of the capital for the whole time. Out of a profit of ₹3,500, A's share is:

If\(|\vec {a}+\vec {b}|=15, |\vec {a}-\vec{b}| =10,|\vec a|=\frac{11}{2}\) then the value of |\(\vec b\)| is/are:

A vector \(\overrightarrow{r}\) is inclined at equal angles to the three axes. If the magnitude of \(\overrightarrow{r}\) is \(3\sqrt3\) units, then the value of \(\overrightarrow{r}\) is:

The value of \(\int_0^3 |2x-6|dx\) is:

Among P, Q, R, S, T, each having different weight. R is heavier than only P and S is lighter than Q and heavier than T. Who among them is the heaviest?

If ⁿC₉ = ⁿC₃. what is n?

Given expression:
\(\frac{(0.682)^2-(0.318)^2}{0.682-0.318}\)

A container is full of mango juice. One fifth of juice is taken out from this container and then an equal amount of water is poured into the bottle. This process is repeated 3 more times. The final ratio of juice and water in the container is:

Which of the following statements are true for rectangles?
A. All interior angles are right angles.
B. Diagonals are perpendicular to each other.
C. Diagonals are equal.
D. Opposite angles are supplementary
Choose the correct answer from the options given below:

If Paasche's index number is 160 and Laspeyre's index number is 250, then Fisher's index number is:

Suppose that a 95% confidence interval states that population mean is greater than 100 and less than 300. Then the value of sample mean \((\bar{x})\) and margin of error (E) respectively are :

The mean of Binomial distribution \(B(4,\frac13) \) is : 

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

Which one of the following numbers is not a prime number?

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:

Which of the following statements is true ?
A. If the feasible region for a LPP is unbounded, maximum or minimum of the objective function Z = ax + by may or may not exist.
B. Maximum value of the objective function Z = ax + by in a LPP always occurs at only one corner point of the feasible region.
C. In a LPP, the minimum value of the objective function Z = ax + by (a, b > 0) is always 0 if origin is one of the corner points of feasible region.
D. In a LPP the max value of the objective function Z = ax + by is always finite.
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A, B and C can do a work in 10, 12 and 15 days respectively. In how many days will the work be completed if B is assisted by both A and C on every third day?

The relation R in the set A = {1, 2, 3, 4} is given by R = {(1, 2), (2, 2), (1, 1), (4, 4), (1, 3), (3, 3), (3, 2)} is :

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:

The maximum value of the function y = 2 - |x - 3| is :

For the function f(x) = 2e^5x + 10, which of the following is the most appropriate option.

Area lying between the curves \(y^2 = 9x\) and y = 3x is:

A boy is running at a speed of p km/h to cover a distance of 1 km but due to slippery ground his speed is reduced by q km/h \((p > q).\) If he takes r hours to cover the distance, which of the following condition is true:

Match List I with List II

List I (Functions)		List II (Derivatives)
A.	f(x)=sin-1x	I.	\(\frac{1}{1+x^2}\), x ∈ R
B.	f(x)=tan-1x	II.	\(\frac{1}{\sqrt{1-x^2}}\), x ∈ (-1, 1)
C.	f(x)=cos-1x	III.	\(-\frac{1}{\sqrt{1-x^2}}\), x ∈ (-1, 1)
D.	f(x)=sin-1x	IV.	\(-\frac{1}{1+x^2}\), x ∈ R

Choose the correct answer from the options given below :