List of top Mathematics Questions asked in CUET (PG)

Three boys A, B and C are running with speeds 40 m/s, 2500 m/minute and 144 km/h respectively, then
(1) A and C have same speed which is less than the speed of B
(2) Speed of B is the highest
(3) Speed of C is more than the speed of B
(4) All the boys A, B, and C have equal speeds
Choose the correct answer from the options given below:

A man invests some money partly in 8% stock at 105 and partly in 12%, stock at 90. In what ratio should he invest the money to have equal dividends?

In regression analysis independent variable is also called as

Given below are two statements:
Statement I: Line of regression of y on x is the line which gives the best estimate for the value of y for any specified value of x. 
Statement II: Line of regression of x on y is the line which gives the best estimate for the value of x for any specified value of y. 
In the light of the above statements, choose the correct answer from the options given below:

The resultant vector of the cross product of the two vectors\( î+2j-k; 2i+j+k\) is

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 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:-

See the adjacent figure and find the value of ∠A in the semicircle

The base of hexadecimal system is

Simplify: \(\frac {\frac 34+\frac 15-\frac {1}{10}-1}{\frac 18+\frac 12-\frac 34}\)

A trader sold an article at a gain of 20% Had he purchased it for 40% more and sold for 24 less, he would have incurred a loss of 20%. What is the cost price of the article?

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

In what ratio must a grocer mix tea leaves costing Rs.600/kg and rs.650/kg. So that by selling the mixture at Rs.682/kg, he gains 10%?

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:

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:

If sec 5 A = Cosec A, then the value of A is

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:

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 ₹).

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

Given below are two statements: One is labelled as Assertion (A) and the other is labelled as Reason (R)
Assertion (A): If volumes of two spheres are in the ratio 125:64, then their surface areas will be in the ratio 25:16.
Reason (R): If volumes of two spheres are V1, V2 and their respective surface areas are S1, S2, then
\(\frac{S_1}{S_2} =(\frac{V_1}{V_2})^\frac{2}{3}\)
In the light of the above statements, choose the most appropriate answer from the options given below:

The surface area of the sphere x² + y² + z² = 9 lying inside the cylinder x² + y² = 3y is

Let F: R³ →R² be the linear map defined by F(x, y, z) = (3x+2y-4z, x-5y+3z). The basis of R³ is S and basis of R² is S', where S = {(1, 1, 1), (1, 1, 0), (1, 0, 0)} and S' = {(1, 3), (2, 5)}. Then the matrix of F in the bases of R³ and R² is

Consider the trigonometric equation $ \tan(x) - \tan(y) = 0 $, where $x$ and $y$ are not odd multiples of $ \frac{\pi}{2} $. Then the solution of this equation is:

A man is walking at a speed of 6 km/h. After every km he takes rest for 6 minutes. How much time will he take to cover a distance of 24 km.

3 boys and 5 girls can complete one work in 8 days. 7 boys can complete the work in 4 days. Number of girls required to finish the work in half day is: