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

A bag contains 1 red, 3 green, 2 blue and 4 yellow balls. If a single ball is chosen at random from the bag, then what is the probability that it is yellow or green?

Calculate the value of median from the given data:
2.90, 3.57, 3.73, 2.98, 3.64, 3.75
3.30, 3.62, 3.76, 3.38, 3.66, 3.76

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[

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:

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:

A straight line has equation y=-x+6 which of the following line is parallel to it?

Match List-I and List-II

LIST I		LIST II
A.	Value of\(\lim\limits_{x\rightarrow0}\left(\frac{sinx}{x}\right)^{\frac{sinx}{x-sinx}}\)	I.	e3
B.	Value of \(\lim\limits_{x\rightarrow0}\int\limits_0^x\frac{sint^2dt}{x^2}\)is	II.	0
C.	Value of \(\lim\limits_{x\rightarrow0}(e^{2x}+x)^{\frac{1}{x}}\)is	III.	1
D.	Value \(\lim\limits_{x\rightarrow a}\frac{log(x-a)}{log(e^x-e^a)}\)of	IV.	e-1

Choose the correct answer from the options given below:

Given below are two statements: One is lebelled as Assertion A and the other is labelled as Reason R.
Assertion A: f(x) = tan²x is continuous at x = π/2
Reason R: g(x) = x² is continuous at x = π/2
In the light of the above statements, choose the correct answer from the options given below:

For \(0\lt \theta \lt \pi/2\), the solution(s) of \(\sum_{m=1}^{6}cosec\left(\theta+(m-1)\frac{\pi}{4}\right)cosec(\theta+\frac{m\pi}{4})=4\sqrt{2}\) is/are
A. π/4
B. π/6
C. π/12
D. 5π/12
Choose the correct answer from the options given below:

If sin β is the GM between sin a and cos a, then cos 2β is equal to

The value of \(e^{\log10 \tan1\degree+\log10 \tan2\degree+\log10 \tan3\degree+.........+\log10 \tan89\degree}\)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

Match List I with List II

Choose the correct answer from the options given below:

Renu speaks truth in 70% of the cases and Bina in 75% of the cases. The percentage of ceses they are likely to contradict each other in stating the same fact is

Which of the following discount option in most beneficial for shop keeper?
(A) Successive discount of 20%, 30% and then pay 10% Service Tax. 
(B) Successive discount of 30%, 10% and then pay 10% Service Tax. 
(C) Pay Service Tax of 10% first, then successive discount of 20%, 30%. 
(D) Pay Service Tax of 10% first, then successive discount of 30%, 20%. 
Choose the most appropriate answer from the options given below

Ankit owes ₹ 42,580 on his credit cards, but he could pay only ₹ 12,580. If the annual rate of compound interest is 10%, then how much will he owe after 4 years?

The percentage of loss when an article is sold at Rs. 50 is the same as that of the profit when it is sold at Rs. 70. Percentage of profit or loss on the article is ___.

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

Let E be the ellipse\(\frac{x^2}{9}+\frac{y^2}{4}=1\) and C be the circle x² + y² = 9. Let P and Q be the points (1, 2) and (2, 1) respectively. Then

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 f: R→R defined as of f(x) = x² + 1 then minimum value of f(x) is

If the curve ay + x² = 7 and x³ = y, cut orthogonally at (1, 1), then the value of a is -

If a Chord which is normal to the parabola y² = 4ax at one end subtends a right angle at the vertex, then its slope is -