List of top Mathematics Questions asked in CUET (UG)

Let A and B be symmetric matrices of same order, then which of the following statement is true?
The area of the region bounded by the curve \(y=\sqrt{3x+10}\), x-axis and between the lines x = -3 and x = 2 is equal to :
Which of the following speeds is maximum?
A 180 m long train crosses a man standing on the platform in 6 seconds. What is the speed of the train?
If \(|A|=3\)  and \(A^{-1}=\begin{bmatrix}        3 &-1 \\[0.3em]        \frac{-5}{3} & \frac{2}{3}    \\[0.3em]     \end{bmatrix}\) then adj \(A\) is 
The value of \(\lambda\), for which the projection of \(\vec{a} = \lambda \hat{i} + \hat{j} +4 \hat{k}\) on \(\vec{b} =2\hat{i} +6 \hat{j} +3\hat{k}\) is 4 units
Set A has elements and the set B has 6 elements, then the number of injective mappings that can be defined from A to B is :
Simplify \(\sqrt{54-\sqrt{20+\sqrt{32-\sqrt{49}}}}\)
By selling on book for 250, loss percentage is 10%. What is the cost price?
Two years ago, population of a city was \(16,52,600 \)which increased by \( 10\%\) in the first year and by \(15\%\) in the second year. Find the present population of the city.
A's month salary was ₹40000 and he used to save ₹10000 per month. His salary increased by 25% and expenditure increased by 15%. By what percent his savings increased ?
The price per unit of a commodity produced by a company is given by P = 92 - 2x2, where x is the quantity demanded. The marginal revenue of producing 3 units of such a commodity shall be :
Match List I with List II
LIST I LIST II
A.\(\frac{d}{dx} [tan^{-1} (\frac{3x-x^3}{1-3x^2})]\)I.\(\frac{3}{1+x^2}\)
B.\(\frac{d}{dx}[cos^{-1}(\frac{1-x^2}{1+x^2})]\)II.\(\frac{-3}{1+x^2}\)
C.\(\frac{d}{dx}[cos^{-1} (\frac{2x}{1+x^2})]\)III.\(\frac{-2}{1+x^2}\)
D.\(\frac{d}{dx}[cot^{-1}(\frac{3x-x^3}{1-3x^2})]\)IV.\(\frac{2}{1+x^2}\)
Choose the correct answer from the options given below:
If y = \(10^{10^x}\), then \(\frac{dy}{dx}\) is :
If, \(f(x) = \begin{bmatrix}0 & x-a & x-b \\[0.3em]x+a&o & x-c \\[0.3em]x+b & x+c & 0\\[0.3em] \end{bmatrix}\), then \(f(0)\) is:
The value of the determinant \(\begin{vmatrix}acosθ&bsinθ&0 \\-bsinθ&acosθ&0\\ 0&0&c\end{vmatrix}\) is:
Consider the following hypothesis test:
\(Η_0: μ ≤ 20\)
\(Η_1 : μ > 20\)
A sample of 81 produced a sample mean of 20.55. The population standard deviation is 3. The value of the test statistic is:
What is emprical relationship between mean, median and mode ?
A. Mean - mode = 3(Mean - Median)
B. Mode = Mean - Median
C. Mode = 3 Median - 2 Mean
D. Median - Mode = 3 (Mean - Median)
E. Mode = 2 Mean + 3 Median
Choose the correct answer from the options given below
\(\int \frac{cos x - sin x}{1 + sin2x} dx\) is equal to:
The derivative \(\frac{\mathrm dy}{\mathrm d x}\) ,if \(x=a(\theta -sin\theta),y=a(1+cos\theta)\) is :
In the given figure, AB=AD. ∠ACB=95°+ ∠BAC and ∠BAD=150°. Find ∠ACB.
Triangle ABC
A person takes a home loan of ₹1200000 from a bank at an interest rate of 12% per annum for 10 years. The EMI under flat rate system is.
In a Binominal distribution, The probability of getting success is \(\frac{1}{5}\) and standard deviation is 4. then its mean is
A bond of face value ₹1000 matures in 10 years and interest is paid annually at 4% per annum. If the present value of the bond is ₹838, find the yield to maturity (1.04)-10 ≈ 0.676.
If A=(2, 3), B = (-1, 0), C = (4, 6) then area of the parallelogram ABCD is: