List of top Mathematics Questions asked in CUET (UG)

If cosy = xcos(a + y), then \(\frac{dy}{dx}\) =

In a school, ratio of number of boys to that of girls was \(6:5.\) In the next year, number of boys increased by \(20\%\) and number of girls increased by \(10\%\) resulting in an increase of \(119\) students in the school. How many students were there in the school initially?

For any two non zero vectors \(\vec{a}\) and \(\vec{b}\)
A. If \(|\vec{a}| = |\vec{b}|\)then \(\vec{a} = \vec{b}\)
B. If \(\vec{a} = \vec{b}\) then \(|\vec{a}| = |\vec{b}|\)
C. \(\vec{a} . \vec{b}=\vec{b} . \vec{a}\)
D. \(\vec{a} \times \vec{b}=\vec{b} \times \vec{a}\)
E. area of the parallelogram = \(\frac{1}{2} |\vec{a} \times \vec{b}|\). where \(\vec{a}\) and \(\vec{b}\) represent resent the diagonals of the parallelogram.
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If A is a symmetric matrix and n ∈ N, then Aⁿ is :

Area of the region bounded by \(y=-1, y=2, x=y^3 \space and \space x=0\) is:

If 7-digit number 485A64B is divisible by 8 and 9, then find the greatest value of A+ B.

\(\begin{vmatrix} 2x  & 3  \\[0.1em]   5x & x  \end{vmatrix}\)=\(\begin{vmatrix}  16  & 3  \\[0.1em]   5 & 2  \end{vmatrix}\) the value of \(x\) is

The sum of the first four terms of an A.P. is 56 and the sum of its last four terms is 112. If its first term is 11, then find the number of terms.

If \(x = e^{y+e^y+.... to \space ∞}, x> 0\) then \(\frac{d^2y}{dx^2}\) is:

The total cost function for x units of a commodity is given by \(C(x) = \frac{25x^3}{3}-75x^2+48x+34\). The output \(x\) at which the marginal cost is minimum is:

Arjun is twice as old as Shreya. Five years ago, his age was three times Shreya's age. Find the sum of their present ages:

A completes \(\frac{7}{20}\) of a work in 10 days. Then he completes the remaining work with the help of B in 5 days. The time required for A and B together to complete the entire work is :

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:

Consider the following data:

Year	2008	2009	2010	2011	2012
Production(In Tons)	60	75	80	70	85

The equation of the straight line trend by the method of least squares is,

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)

Match List I with List II

List I		List II
A.	\(\frac{d^2y}{dx^2}+(\frac{dy}{dx})^{\frac{1}{2}}+x^{\frac{1}{2}}\)	I.	order 2, degree 1
B.	\(\frac{dy}{dx}=\frac{x^{\frac{1}{2}}}{y^{\frac{1}{2}}(1+x)^{\frac{1}{2}}}\)	II.	order 2, degree not defined
C.	\(\frac{d^2y}{dx^2}=\cos3x+\sin3x\)	III.	order 2, degree 4
D.	\(\frac{d^2y}{dx^2}+2\frac{dy}{dx}+y=\log(\frac{dy}{dx})\)	IV.	order 1, degree 2

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Which of the following is correct ?

Find the missing term
1, 4, 27, 16, ?, 36, 343

For the given five values 17, 26, 20, 35, 44, the three years moving averages are :

For real numbers a and b, define aRb if b-a+√5 is an irrational number. Then the relation R is:

Let f: R→R defined by f(x)=2x³-7 for x∈R. Then:
(A) f is one-one function
(B) f is many to one function
(C) f is bijective function
(D) f is into function
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Match List I with List II

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

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The value of x given by \(cos (tan ^{-1}x) = sin (cot^{-1} \ \frac{3}{4})\)is:

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