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 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.
If mean of 7, 2, 9, 4 and K is 5, then find the median of 12, 6, K, 9, 15
See the adjacent figure and find the value of ∠A in the semicircle
See the adjacent figure and find the value of ∠A in the semicircle
Akhil is two times as efficient as Vinod and Kamal is three time as efficient as Vinod. They worked together and received ₹ 5,700 for doing the work. Find the share of Kamal in the money received.
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
Value of \(\int_c\frac{2z+1}{z^2+z}dz\), where C is\(|z|=\frac{1}{2}\), is:
The average of nine consecutive natural numbers is 25. Find the smallest number.
A dealer marked an item with cost price Rs.600 at 50% above the cost price and offered 20% discount. Find the selling price.
A certain sum of money on simple interest amounts to 1,278 in 3 years and to 1,593 in \(5\frac 12\) years. Find the rate of interest per annum.
The resultant vector of the cross product of the two vectors\( î+2j-k; 2i+j+k\) is
Find the sum of the fourth proportional of 60, 24, 15 and the mean proportional of 5 and 20.
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:
Which one of the following is more useful and effective for a quick visualization of a limited amount of information?
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 ₹).
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.