List of top Mathematics Questions asked in CUET (PG)

A man is walking at a speed of 6 km/h. After every km he takes rest for 6 minutes. How much time will he take to cover a distance of 24 km.
Which of the following is not correct?
(A) Sum of the vectors directed from the vertices to the mid-points of opposite side of a triangle is zero.
(B) Medians of a triangle are not concurrent.
(C) The diagonals of a quadrilateral bisect each other iff it is a parallelogram.
(D) Vectors having the different terminal point are called co-terminus vectors.
Choose the correct answer from the options given below:
Which of the following set is convex?
The function
\[f(x,y) =   \begin{cases} \frac{x^3-y^3}{x^2+y^2} ,when \space x≠0, y≠0.\\ k, when \space x = 0, y=0   \end{cases}\]
is continuous at (0,0), then k is equal to:
The volume generated by the revolution of the cardioid \(r = a(1-\cosθ)\) about its axis is:
If P(x) is a polynomial of degree 10 with leading coefficient as 11 and having (x-1), (x-2), (x-3),...(x-10) as factor, then the coefficient of x9 in P(x) is
Let f(z) = u + iv be an analytic function, where u = x3-3xy2 +3x2 -3y2, then the imaginary part v of f(z) is
Given below are two statements: One is labelled as Assertion (A) and the other is labelled as Reason (R)
Assertion (A): If volumes of two spheres are in the ratio 125:64, then their surface areas will be in the ratio 25:16.
Reason (R): If volumes of two spheres are V1, V2 and their respective surface areas are S1, S2, then
\(\frac{S_1}{S_2} =(\frac{V_1}{V_2})^\frac{2}{3}\)
In the light of the above statements, choose the most appropriate answer from the options given below:
The volume of the cylindrical column standing on the area common to the parabolas \(y^2 = x\), \(x^2 = y\) and cut off by the surface \(z = 12+y-x^2\) is:
The line integral \(\overrightarrow V = x^2\hat{î}-2y\hat{j} + z^2\hat{k}\) over the straight line path from the point (-1, 2, 3) to (2, 3, 5) is
If \(\overrightarrow F=2z\hat{i}-x\hat{j}+y\hat{k}\) and Vis the region bounded by the surface x=0,y=0,x=2,y=4,z=x2,z=2, then value of \(\iiint\limits_V\overrightarrow FdV\)is
The derivative \(\frac{dy}{dx} \) of the function y = sin(cos(log(x))) is,
Akhilesh and Javed started a business by investing 50,000 and 60,000 respectively. Akhilesh being an active partner receives 12.5% of the profit in addition to his share of profit. How much Akhilesh gets out of a profit of 8800?
The solution x1 = 1, x2 = 1, x3 = 0 and z = 3 to the system of equations
x1+x2+x3=2
x1+x2-x3=2
x1,x2,x3≥0
which minimizes z = x1 + 2x2 + 3x3 is
B is three times a old as A. After 5 years the ratio in the ages of A and B will be 1: 2. After how many years from now will the ratio in the ages of A and B become 2:3?
The average of nine consecutive natural numbers is 25. Find the smallest number.
The average age of a boy and a girl is 30 years. The ratio of their ages is 5:7. Ages of the boy and girl respectively:
A trader sold an article at a gain of 20% Had he purchased it for 40% more and sold for 24 less, he would have incurred a loss of 20%. What is the cost price of the article?
The product of two numbers is 4840. If the first number is two fifth of the second number, then what is the first number?
A dealer marked an item with cost price Rs.600 at 50% above the cost price and offered 20% discount. Find the selling price.
The sum of two numbers is 40 and their HCF is 8. How many pairs of numbers satisfy both the conditions?
Find the sum of the fourth proportional of 60, 24, 15 and the mean proportional of 5 and 20.
If mean of 7, 2, 9, 4 and K is 5, then find the median of 12, 6, K, 9, 15
Pipes A and B can fill a tank in 25 hours and 10 hours respectively. Pipe A was opened and after half an hour pipe B was also opened. In how much time the tank got filled?
Ram and Mohan can do a piece of work in 20 days. Mohan alone can do the work in 30 days. In how many days will Ram alone complete the work.