List of top Mathematics Questions asked in CUET (UG)

If A is an invertible matrix, such that A2 - A + I = 0, then the inverse of A is :
A car costing ₹8,50,000 has scrap value of ₹1,25,000. If annual depreciation charge is ₹1,45,000, then useful life of the car is:
In what ratio must a shopkeeper mix peas and soyabean of ₹16 and ₹25 per kg respectively, so as to obtain a mixture of ₹19 per kg?
If A is a skew-symmetric matrix of order n. then
If \(I=\int_{0}^{4}  \frac{\sqrt{x}}{\sqrt{x}+\sqrt{4-x}}dx\), then 8\(I\) is:
Match List I with List II
List IList II
A.\(\int\limits^{\frac{\pi}{2}}_0\frac{\sin^{\frac{7}{2}}x}{\sin^{\frac{7}{2}}+\cos^{\frac{7}{2}}}dx\)I.\(\frac{\pi}{4}-\frac{1}{2}\)
B.\(\int\limits_0^{\pi}\frac{x\sin x}{1+\cos^2x}dx\)II.0
C.\(\int\limits^{\frac{\pi}{2}}_{-\frac{\pi}{2}}x\cos x\ dx\)III.\(\frac{\pi}{4}\)
D.\(\int\limits_{-\frac{\pi}{4}}^{\frac{\pi}{4}}\sin^2x\ dx\)IV.\(\frac{\pi^2}{4}\)
Choose the correct answer from the options given below :
Integrating factor of the differential equation \((1-y²) \frac{dx}{dy} + xy = ay\) is:
The effective rate which is equivalent to stated rate of \(6\%\) compounded semiannually is:
If \(e^y(x+2)=10\), then \(\frac{d^2y}{dx^2}\) is equal to:
The value of objective function is maximum under linear constraints is
The corner points of the feasible region determined by the system of linear inequalities are (0, 0), (0, 4), (4, 0), (2, 4) and (0, 5). If the maximum value of Z = ax + by where a, b > 0 occurs at both (2, 4) and (4, 0) then
The symbols that we use to represent number names are called a numerals. Children see numerals such as “6” in their everyday lives constantly. However, numerals are ---------- than quantities.
A bike costing ₹120000 has a scrap value of ₹30000. If the book value of the bike at the end of third year is ₹90000, then the useful life of the bike is,
The perimeter of a square and a regular hexagon are equal. The ratio of the area of the hexagon the area of the square is :
The volume of a sphere of radius r is obtained by multiplying its surface area with :
Given relation R={(x, y): y=x+5, x < 4, x, y ∈ N}. Where N is a set of natural numbers then :
\((6:30+19:50), \)in 24 hours clock is :
Three partners A, B and C shared the profit in a business in the ratio 6:9:10 respectively. If A,B and C invested the money for 12 months, 7 months and 5 months respectively, then the ratio of their investment is:
If \(f(x)=-3x^2\), then f(x) is:
Mean, Median and Mode of a data are related by the relation
The value of \(∫(5x-2)^3\) dx is:
Which of the following statements are true ?
(A) Central limit theorem states that the sampling distribution of the mean (\(\bar x\)) approaches a normal distribution as the sample size increases.
(B) As per Central Limit Theorem, when the sample size increases, the mean (\(\bar x\)) for the data becomes closer to the mean of overall population.
(C) The shape of t-distribution does not depend on degree of freedom.
Choose the correct answer from the options given below :
Work done by A in one day is half of the work by B in one day. Work done by B is half on the work done by C in one day. If C alone can do the work in 7 days, then in how many days can A, B and C together complete the work ?
If \(\vec{a}\) and \(\vec{b}\) are two non zero vectors such that \(|\vec{a}|\)=10, \(|\vec{b}|=2\) and \(\vec{a}.\vec{b}=12\), then value of \(|\vec{a}\times\vec{b}|\) is :
The ratio of areas under the curves \(y=sinx \) and \(y=sin2x\) ,from \(x=0\) to  \( x=\frac{\pi}{3}\) is