List of top Mathematics Questions asked in CUET (PG)

A triangle can have:

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

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

10 men and 15 women can do a work in 6 days. One man can do the work in 100 days. In how many days can a woman do the work?

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:

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

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

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 \(\pi=\frac{22}{7}\))

If the side of a cube is increased by 25% then volume of the cube will increase by (correct to one decimal place):

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 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 -

A train with certains speed passes a standing man in 6 seconds and 210 m long plat form in 16 seconds. Then speed of the train 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.

The area of the circular round shown as 92 \(\pi\) m² then value of r is:

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

Find a single discount equivalent to successive discounts of 10%, 20% and 25%

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 -

What is the distance between point P(1, 2, 4) and Q(4,-2, 1) in a 3-D plane?

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:

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:

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?

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