List of top Mathematics Questions asked in CUET (PG)

Which of the following is an example of non-probability sampling?
The height of a room is 40% of semi-perimeter of the floor. Akshay wanted to put wall paper on the walls of his room. It cost ₹5,200 to put 50 cm wide wall paper at the rate of ₹40/m leaving an area of 15 m2 for doors and windows. Height of room (in m) is:
A sum of money doubles itself on simple interest in 10 years. Find the rate of interest per annum.
What is the distance between point P(1, 2, 4) and Q(4,-2, 1) in a 3-D plane?
The monthly income and expenditure of a person were ₹10,000 and ₹6,000 respectively. Next year, his income increased by 15% and his expenditure increased by 8%. Then the percentage increase in his savings is:
\(\frac{8}{3}\) of \(40\%\) of \(\frac{18}{39}\) of 156 = _______ ?
The middle value in a series of numbers, the point that neither exceeds nor is exceeded by more than 50 percent of the total observation ?
If cot 20° tan (90° A) = 1, than value of A is :
The value of \(e^{\log10 \tan1\degree+\log10 \tan2\degree+\log10 \tan3\degree+.........+\log10 \tan89\degree}\)is
Given below are two statements :
Statement I: If the roots of the quadratic equation \(x^2-4x-log_3a=0\) are real, then the least value of a is 1/81.
Statement II: The harmonic mean of the roots of the equation \((5+ \sqrt2)x^2 - (4+\sqrt5)x + (8+2\sqrt5) = 0\) is 2.
In the light of the above statements, choose the correct answer from the options given below:
The point(s) at which function f is given by \(f(x)={\begin{Bmatrix}\frac{x}{|x|};x\lt0  \\ -1; x\geq0\end{Bmatrix}}\) is continuous is/are
If every pair from among the equation x2 + px + qr = 0, x2 + qx + rp = 0 and x2 + rx + pq = 0 has a common root, then the product of three common roots is_______.
If \(\overrightarrow r\) is the position vector of any point on a surface S that encloses the volume V, then find \(\iint\limits_S\overrightarrow r.d\overrightarrow S\)
Sonu and Monu start together from point A to reach to B, with speeds, 5 km/h and 3 km/h respectively. If Sonu reaches B one hour before Monu, then the distance between A and B is:
Let \(a = cos\frac{2π}7 + isin\frac{2π}7\), a = a + a2+a4 and β = a3+ a5 +a6 then the equation whose root are α, β is
If f: R→R defined as of f(x) = x2 + 1 then minimum value of f(x) is
If f: R→R is defined by f(x)=3x2-5 and g: R→R by g(x)=\(\frac{x}{x+1}\) then gof(x) is
Which of the following functions is differentiable at x = 0?
If f and g are differentiable functions in (0, 1) satisfying f(0) = 2 = g(1), g(0) = 0 and f(1) = 6, then for some c ∈]0, 1[
Match List I with List II
LIST I LIST II
A.sin z for |z|< ∞I.(-1)n-1z2n-1/(2n-2)!
B.cos z for |z|< ∞II.(-1)n-1zn/n
C.tan-1z for |z|<1III.(-1)n-1z2n-1/(2n-1)!
D.In(1+z) for | z|<1IV.(-1)n-1z2n-1/(2n-1)
Choose the correct answer from the options given below:
The tangent to the hyperbola x2 - y2 = 3 are parallel to the straight line 2x + y +8 = 0 at the following points:
A boat goes 12 km in one hour along the stream and 6 km in one hour against the stream. The speed of the stream in km/h is:
The number of vectors of unit length perpendicular to vectors \(\vec{a}\) = (1,1,0) and \(\vec{b}\) = (0,1,1) is
Given below are two statements: One is labelled as Assertion A and the other is labelled as Reason R.
3 Assertion A: \(\int\limits_{-x}^{3}(x^3+5)dx=30\)
Reason R: f(x) = x3 +5 is an odd function
In the light of the above statements, choose the correct answer from the options given below:
A. If (12 P)3 = (123)p, then value of P is infeasible.
B. The simplified sum of product form of the Boolean expression is \((P+\vec{Q}+\vec{R}).(P+\vec{Q}+R). (P+Q+\vec{R}) \;is\; (P+\vec{Q}.\vec{R})\).
C. The minimum number of D flip-flops needed to design a mod(258) counter is 8.
Choose the correct answer from the options given below :