List of top Questions asked in CUET (UG)

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 ?

A particle is moving along the curve \(y=\frac34x^4+3\). The point on the curve at which y-coordinate is changing thrice as fast as the x coordinate, is :

There are two values of a for which the determinant, \(\Delta =\begin{bmatrix}1& -2& 5\\[0.3em]0& a& 1\\[0.3em] 0& 4& 2a\\[0.3em] \end{bmatrix} = 86\), then the sum of these values of a is:

Mean, Median and Mode of a data are related by the relation

The value of \(∫(5x-2)^3\) dx is:

Given relation R={(x, y): y=x+5, x < 4, x, y ∈ N}. Where N is a set of natural numbers then :

The volume of a sphere of radius r is obtained by multiplying its surface area with :

The perimeter of one face of a cube is 24cm, its volume must be :

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.

If \(\frac{x}{(b + c)(b + c - 2a)} = \frac{y}{(c - a)(c + a - 2b)} = \frac{z}{(a - b)(a + b - 2c)}\), then the value of \(x + y + z\) is:

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,

If \(x=3at^2\), \(y=3at^4\) then \(\frac{dy}{dx}\) is:

The tangent to the parabola, x² = 2y at the point \((1,\frac{1}{2})\) makes with the x-axis an angle of :

If the lines \(\frac{x-1}{-3} = \frac{y-2}{2 \lambda} = \frac{z-3}{2}\) and \(\frac{x-1}{3 \lambda} = \frac{y-1}{2} = \frac{z-6}{-5}\) are perpendicular. Then the value of \(\lambda\) is:

The interval on which the function \(f(x)=2x^3 +12x^2 +18x-7\) is decreasing, is:

Which index number is used to compare cost of living at two different cities?

Two bags of iron ore weight 180 kg 250 gm and 270 kg 50 gm respectively. How much iron ore (in gm) must be taken out from the first bag and added to the second bag so that weight of the first bag may then be two-third of the second bag?

The region represented by the system of inequalities x, y≥0, y≤8, x + y≤4 is:

If \(A (2,3), B(2,4) C(4,9)\)and \(D (x,8)\) are the vertices of a parallelogram \(ABCD\), then find the value of \(x.\)

If \(x\sqrt{1+y}+y\sqrt{1+x}=0;x\ne y\), then the value of \(\frac{d^2y}{dx^2}+2\frac{dy}{dx}\) at x = 1 is :

Match List I with List II

Choose the correct answer from the options given below:

A motor boat covers 16 km in 2 hours downstream and 14 km in 2 hours upstream. The speed of the motor boat is:

The set of value of \(x\) for which the angle between the \(\overrightarrow a = 2x²\hat i + 4x \hat j + \hat k\) and \(\overrightarrow b =7\hat i-2\hat j + x\hat k\) is obtuse is :

Manish goes 8 km in the North from his school. Now, turning to the left, he goes 15 km and again turns to the left and goes to 8 km. How far he is from his school and in which direction?

January 11, 1997 was a Sunday. What day of the week was on January 7, 2000?