List of top Mathematics Questions asked in CUET (PG)

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?

The monthly income and expenditure of a person were ₹10,000 and ₹6,000 respectively. Next year, his income increased by 15% and his expenditure increased by 8%. Then the percentage increase in his savings is:

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

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

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

\(\frac{108^2-104^2}{32^2-28^2} = \) _______ ?

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 area of a rhombus is 120 cm² and length of its one diagonal is 24 cm. Find the perimeter of the rhombus (in cm).

If 4/5 of A= 60% of B = 0.75 of C, then A:B:C is

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 =

Let f: [a, b]R be a continuous function on [a, b] and differentiable on (a, b), then there exists some e in (a, b) such that
\(f'(c) = \frac{f(b)-f(a)}{b-a}\)
This theorem in named

If radius of a cyclinder is increased by 10%, while height remains unchanged. What will be the effect on its volume:

If \(cot^2 45\degree-sin^2 45\degree = K sin^2 30\degree x tan^2 45\degree xsec^2 45\), then the value of K 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:

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 \(\pi=\frac{22}{7}\))

An athlete takes as much time in running 200 m as a car takes in covering 500m. The distance covered by the athlete during the time the car covers 2 km is:

\(\frac{8}{3}\) of \(40\%\) of \(\frac{18}{39}\) of 156 = _______ ?

If A, B and C are acute positive angles such that A + B + C = π and cot A cot B cot c = K, then

The top of a hill observed from the top and bottom of a building of height h is at angles of elevation p and q respectively. The height of the hill is -

The two adjacent sides of a cyclic QUADRILATERAL are 2 and 5 and the angle between them is 60°. If the third side is 3, the remaining fourth side is -

The ratio of length and Breadth of a rectangle is 4:1 and its area is 64 cm² then what will be the value of length and Breadth of the rectangle?

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.

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

In a class of 25 students, 72% students are interested in sports. How many students do not like participating in sports?