List of top Questions asked in CUET (PG)

A dealer marked an item with cost price Rs.600 at 50% above the cost price and offered 20% discount. Find the selling price.

In the figure, ∠AOC = 42° and PQ is perpendicular to CD. Find the value of x.

In the figure ∠AOC = 42° and PQ is perpendicular to CD

The value of \(\frac {1+tan^2θ}{1+cot^2θ} \times (1-sin^2θ)\) is

If A = {2, 3, 6} and B = {2, 3, 4, 5, 6} are two sets, then
(A) A⊂B
(B) AUB=B
(C) A∩B=Φ
(D) A∩B= A
Choose the correct answer from the options given below:

If mean of 7, 2, 9, 4 and K is 5, then find the median of 12, 6, K, 9, 15

Solution A Contains 12% water and the remaining is milk. Solution B contains 30% water and the remaining is milk. In what ratio should solutions A and B be mixed to obtain a mixture with 84% milk?

A quadrilateral ABCD has diagonal AC of length 28 cm. If the perpendiculars drawn from vertices B and D to AC are 30 cm and 21 cm respectively, then find its area.

The average age of a boy and a girl is 30 years. The ratio of their ages is 5:7. Ages of the boy and girl respectively:

Value of \(\int_c\frac{2z+1}{z^2+z}dz\), where C is\(|z|=\frac{1}{2}\), is:

The signal flow diagram shown represents a feedback system subjected to a disturbance W (s). The transfer function relating output y(s) to w(s) with reference [R (s)= 0], is:-

The signal flow diagram shown

If X=[a_ij], i≥1, j≤n, with a_ij=i·j
Then number of linearly independent Rows are:

Match List-I and List-II

LIST I		LIST II
A.	Singular Matrix	I.	Determinant is always one.
B.	Real Symmetric Matrix	II.	Digonal element are necessarily either purely imaginary or zero
C.	Skew-Hermitian Matrix	III.	Eigen values are always Real
D.	Orthogonal Matrix	IV.	Determinant is always zero

Choose the correct answer from the options given below:

\(f_{x,y}(x,y)=\begin{cases} (x+y) & \quad 0\le x\le 1,0\le y\le 1 \\ 0 & \quad \text{otherwise } \end{cases}\)
The Probability \(P(x+y\le1)\) is:

Pankaj Advani is associated with which sports?

Match List I with List II:

List I		List II
(A)	Vishakhapatnam Port	(I)	Is a natural harbour situated at the head of queen of Arabian sea.
(B)	Paradwip Port	(II)	Is a land locked harbour.
(C)	Kandla Port	(III)	Has deepest harbour and is situated in Mahanadi delta.
(D)	Kochchi Port	(IV)	Situated at the head of Gulf of Kuchchh.

Choose the correct answer from the options given below:

Match List I with List II:

List I		List II
(A)	Speedy increase in the milk production	(I)	Green Revolution
(B)	Increase in oil-seeds production	(II)	White Revolution
(C)	Increase in the fish production	(III)	Yellow Revolution
(D)	Increase in agricultural production by use of technology	(IV)	Blue Revolution

Choose the correct answer from the options given below:

Given below are two statements:
Statement I : Konkan Railway is a 760 km long rail route which connects Roha in Maharashtra to Mangalore in Karnataka.
Statement II : The state of Maharashtra, Karnataka, Gujrat and Tamil Nadu are partners in the above undertaking.
In the light of the above statements, choose the correct answer from the options given below:

The most expensive Indian painting sold in 1961 was painted by:

Japan's former longest serving prime minister who was shot dead while giving a compaign speech. His name was ___ .

Which one of the following is more useful and effective for a quick visualization of a limited amount of information?

In the equation \(y_i = β_0+β_1.X_1+ε_1, \ β_0\) stands for

Given below are two statements about a normally distributed data.
Statement I : 95.45% of the occurrences will lie between \(\bar {X}±3σ\).
Statement II : 68.27% of the occurrences will lie between \(\bar {X}±1σ\).
In the light of the above statements, choose the correct answer from the options given below:

Read the given statements about correlation carefully and identify the correct statements.
A. A positive relation means that the variables vary in the same direction.
B. If two or more variables are related in a statistical way, is sufficient to conclude that a cause and effect relation exists.
C. A negative relation means that the two variables vary in the opposite direction.
D. Pearson's Product-Moment Method is a method used to calculate r.
Choose the correct answer from the options given below:

Match List I with List II :

List I (Method)		List II (Characteristic)
(A)	Mean	(I)	Identify what is most common
(B)	Median	(II)	Based on sound mathematics
(C)	Mode	(III)	Square-root of the variance
(D)	Standard deviation	(IV)	Divides into 2 equal parts

Choose the correct answer from the options given below:

Ravi invested certain sum on simple interest. He invested two-third of his sum at 7% p.a and the remaining at 8% p.a. In 3 years he earned ₹1320 as interest. Find the sum invested by him (in ₹).