List of top Mathematics Questions asked in CUET (PG)

A triangle can have:

If \(A=\begin{bmatrix} 7 & 9 & -2 \\ -2 & 0 & 3 \end{bmatrix}\) and \(B=\begin{bmatrix} 1 & 0 & 5 \\ 6 & 3 & 2 \end{bmatrix}\) then A+B =

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

By selling an electric iron for ₹700, a shopkeeper incurred a loss of 30%. At what price should he have sold the electric iron to gain 40% ?

Instead of walking along two adjacent sides of a rectangular field, a boy took a short-cut along the diagonal of the field and saved a distance equal to half of the longer side. Find the ratio of the length of the shorter side to that of the longer side of the field.

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 simple interest on a certain sum of money for \(2\frac{1}{2}\) years at 12% per annum is RS.40 less than the simple interest on the same sum for \(3\frac{1}{2}\) years at 10% per annum. Find the sum

If a:b= 3:5, then (-a²+b²): (a²+b²) is :

Which of the following is false for linear programming problem (LLP)?

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

Secondary source of data consists of
A. Interviews
B. Questionnaire
C. Government publication
D. Electronic media
E. Personal observation
Choose the correct answer from the options given below:

Find the general solution of the differential equation: \(\frac{dx}{x}+\frac{dy}{y}=0\)

Find the scalars λ₁ and λ₂ that are attached to \(v=\begin{bmatrix}  1\\ 2 \\  \end{bmatrix} \)and \(w=\begin{bmatrix}  3\\ 1 \\  \end{bmatrix} \) to yield\(\begin{bmatrix}  1\\ 0 \\  \end{bmatrix} \)

Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R.
Assertion A: Let vector a = (x, y, z) and vector b = (2, 3. 5).
Then a = b if and only if x = 2, y = 3 and z = 5.
Reason R: Two vectors are equal if all their corresponding components are equal.
In the light of the above statements, choose the most appropriate answer from the options given below:

If a % of a + b % of b = 2% of ab, then what percent of a is b ?

Ram has a sum of money, which is sufficient to pay either Usha's wages for 30 days or Manika's wages for 60 days. If he employes them together, the money is sufficient to pay their wages for how many days?

If a sum of ₹5,000 is deposited on compound interest at 10% per annum, then the amount received after 2 years is :

If cot 20° tan (90° A) = 1, than value of A is :

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 \(\pi=\frac{22}{7}\))

Figure out the standard deviation (SD) for the following scores: 2, 4, 3 and 7 (Mean = 4).

Evaluate
\(\frac{tan 55°}{cot 35°}+\frac{sin 33°}{cos 57°}+\frac{sec 49°}{cosec 41°}\)