List of top Mathematics Questions asked in CUET (PG)

The average of 5 consecutive odd positive integers is 9. Then sum of smallest and greatest number is

A single 6-sided dice is rolled, then the probability of getting an odd number is

If log₃2,log₃(2^x-5) and log₃(2^x-7/2) are in A.P., then x is equal to

A beam is supported at its ends by supporters which are 12 meters apart. Since the load is concentrated at its centre, there is a deflection of 3 cm at the centre and the deflected beam is in the shape of a parabola. How far from the centre is the deflection 1 cm?

The area of region bounded by the curve y²=x, the y-axis and between y = 2 and y = 4 is

The area of the region bounded by the curve x²=4y and the straight line x = 4y - 2 is

The number of common tangents that can be drawn to the circle x²+y²-4x-6y-3=0 and x²+y²+2x+2y+1=0 is

Function f(x)=(x+1)^cotx is continuous at x = 0, then the value of f(0) is

The joint equation of the straight line x + y =1 and x-y = 4 is

Find the sum of two consecutive numbers in which four times are first number is 12 more than the thrice of the second number

If α and β are the roots of a quadratic equation x²+αx + β=0 where β≠0, then what is the value of α + β?

Given below are two statements: One is labelled as Assertion (A) and the other is labelled as Reason (R):
Assertion (A): Equation 5x-7y+z=11, 6x-8y-z=15 and 3x+2y-6z=7, then the system is consistent and has infinitely many solutions.
Reasons (R): If D=0 then the 3 linear equations is consistent and has infinitely many solutions if D₁ = D₂ = D₃=0.
In the light of the above Statements, choose the correct answer from the options given below :

if \(\vec{a}\), \(\vec{b}\) and \(\vec{c}\) are three non-coplanar vectors, then \((\vec{a}+\vec{b}+\vec{c}) [(\vec{a}+\vec{b})\times(\vec{a}+\vec{c})]\) equal to

The equation of the bisector of the acute angle between the lines 3x-4y+7=0 and 12x+5y-2=0

The tangent to the hyperbola x²-y² = 3 are parallel to the straight line 2x + y +8=0 points are

If A, G, H be respectively, the A.M., G.M., and H.M. of three positive numbers a, b, c; then the equation whose roots are these numbers is given by

If \(\vec{a},\vec{b},\vec{c}\) are non-coplanar unit vectors such that \(\vec{a}\times(\vec{b}\times \vec{c})=\frac{(\vec{b}+\vec{c})}{\sqrt2}\) then the angle between a and b 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

Let A(3, 0, - 1) , B(2, 10, 6) and C(1, 2, 1) be the vertices of a triangle and M be the mid-point of AC. If G divides BM in the ratio 2:1, then cos( ∠GOA ) (O being the origin) is equal to______.

The sum of two digits no. is 10, on reversing the digits of a number the number is decrease by 36. Find the number.

The number of vectors of unit length perpendicular to vectors \(\vec{a}\) = (1,1,0) and \(\vec{b}\) = (0,1,1) is

If 2u=5x, is the relation between two variables u and x, and harmonic means of x is 0.8, find the harmonic mean of u.

If y = x²+x²+x+1, then y________

If a=cos2α+isin2α and b=cos2β+isin2β then _______

The mean of 50 items is 100. At the time of calculations, two items 80 and 190 were wrongly taken as 90 and 20. What is the correct value of the mean?