List of top Mathematics Questions asked in CUET (PG)

A water tank can be filled by two pipes P and Q in 60 minutes and 30 minutes respectively. How many minutes will it take to fill the empty tank if pipes P and Q are opened for first half of the time, after which only pipe Q is opened for next half of the time?
The average of first 50 terms of the given series 1,3,5,7_______ is:
The height of a room is 40% of semi-perimeter of the floor. Akshay wanted to put wall paper on the walls of his room. It cost ₹5,200 to put 50 cm wide wall paper at the rate of ₹40/m leaving an area of 15 m2 for doors and windows. Height of room (in m) is:
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 radius of a cyclinder is increased by 10%, while height remains unchanged. What will be the effect on its volume:
A unit analysis that takes on different values is known as
Which response is right for the given Venn diagram (shaded portion)?
A statement or a tentative proposition of potential relationship between two or more variables is known as
Which of the following is an example of non-probability sampling?
The term used to describe the most frequently occurring category of a non-numeric variable
A hypothesis which shows no relationship or no significant difference between groups on a variable.
Calculate the mean of the following numbers: 100, 200, 600
An untested statement about the relationship between concepts within a given theory is called
The middle value in a series of numbers, the point that neither exceeds nor is exceeded by more than 50 percent of the total observation ?
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
If A, B and C are acute positive angles such that A + B + C = π and cot A cot B cot c = K, then
If the side of a cube is increased by 25% then volume of the cube will increase by (correct to one decimal place):
Evaluate
\(\frac{tan 55°}{cot 35°}+\frac{sin 33°}{cos 57°}+\frac{sec 49°}{cosec 41°}\)
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 \(\pi=\frac{22}{7}\))
A sum is to be distributed among 4 persons in the proportion of 3:3:2:5. If second person gets ₹ 500 more than the third person them what is the share of the fourth person
What is the median of the given data?
2, 3, 5, 0, 8, 13, 4
Figure out the standard deviation (SD) for the following scores: 2, 4, 3 and 7 (Mean = 4).
Given below are two statements :
Statement I: \(\int\limits_{-a}^af(x)dx=\int\limits_{0}^a[f(x)+f(-x)]dx\)
Statement II : \(\int\limits_{0}^1\sqrt{(1+x)(1+x^3)}dx\) is less than or equal to \(\frac{15}{8}\).
In the light of the above statements, choose the most appropriate answer from the options given below :
Given below are two statements: One is labelled as Assertion A and the other is labelled as Reason R.
3 Assertion A: \(\int\limits_{-x}^{3}(x^3+5)dx=30\)
Reason R: f(x) = x3 +5 is an odd function
In the light of the above statements, choose the correct answer from the options given below: