List of top Questions asked in CUET (UG)- 2023

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 \(x.\)

A person buys a flat for which he makes down payment of ₹7,50,000 and the balance is to be paid in 10 years by monthly instalments of ₹22,000 each. If the bank charges interest at the rate of 12% per annum, then the actual price of the flat using flat rate system is:

A shopkeeper sold \(\frac23\) of his stock of rice at a profit of \( 5\%\) and the remaining stock at a loss of \(2\%\). If his total profit was \( ₹\)\( 1000\), then the cost price of the whole stock of rice is:

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

The area of the region bounded by |x| + |y| = 1, x ≥ 0 y ≥ 0 is :

If the present value of a perpetuity of ₹600 payable at the end of every six months is ₹18000, then the rate of interest is:

The effective rate equivalent to a nominal rate of 8% per annum compounded semi-annually is:

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:

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 :

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 value of 28 mod 3 is.

In a polyhedron, the number of faces is 4 and the number of edges is 6, then the number of vertices of that polyhedron is:

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

In the given figure the value of angle ‘x’ is _________

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

If \(2\sin2\theta=\sqrt3\), where 0 ≤ 2θ ≤ 90°, then find the value of cos 3θ

If A is a non-identity invertible symmetric matrix, then \(A^{-1}\) is:

The direction ratios of the line perpendicular to the lines \(\frac{x-7}{-6}= \frac{y+17}{4}= \frac{z-6}{2} \space and \space \frac {x+5}{6}=\frac{y+3}{3}=\frac{z-4}{-6}\) are proportional to:

Maximum slope of the curve \(y = -2x^3 + 6x^2 + 5x - 20\) is:

If |\(\vec{a}\)| = 5, |\(\vec{b}\)| = 2 and |\(\vec{a}\) · \(\vec{b}\) | = 8 then the value of |\(\vec{a} \)×\(\vec{b} \)| is:

Let\[f(x)=\begin{cases} 2x-1, x<1\\ 1, x=1 \\ x^2,x>1 \end{cases}\]then at x = 1

The function f(x) = \(|x - 1|\) is