List of top Mathematics Questions asked in CUET (PG)

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:
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:
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 ₹).
If sec 5 A = Cosec A, then the value of A is
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:
The term which is independent of n in the expansion of (7x2+\(\frac{1}{x}\))6 is
For any positive integer 7m-3m is divisible by
Two trains each of length 250 m start at the same time on two parallel tracks from point A and point B and approached each other with speed of 36 km/hr and 44 km/hr respectively. When they crossed each other, it was found that one train has moved 40 km more than the other. The distance between A and B is:
Perimeter of a square is same as perimeter of a rectangle. If sides of rectangle are in the ratio 17:11, then find the ratio in the areas of the square and the rectangle.
If radius of a cyclinder is increased by 10%, while height remains unchanged. What will be the effect on its volume:
The volume of cylinder is 1408 cm3 and its height is 7 cm. Find the total surface area of the cylinder (correct to 2 decimal places).
(Use \(\pi=\frac{22}{7}\))
The ratio of volumes of two cones is 2:3 and the ratio of radii of their bases is 1:2. The ratio of their heights is:
If the side of a cube is increased by 25% then volume of the cube will increase by (correct to one decimal place):
If \(\frac{\sin{\theta} + \cos{\theta}}{\sin{\theta} + \cos{\theta}} = \frac{1}{77}\), then find the value of \(\sin^4{\theta} - \cos^4{\theta}\):
Which response is right for the given Venn diagram (shaded portion)?
An untested statement about the relationship between concepts within a given theory is called
An article is marked for ₹200. A shopkeeper earns 25% profit even after allowing \(12\frac{1}{2}\)% discount on it. What is the cost price of the article (in ₹)?
A man buys two watches for Rs1750. He sells the first one at a loss of 10% while on the second he earns a profit of 15%. If one the whole he gets no profit no loss then what is the cost of cheaper watch?