List of top Mathematics Questions asked in CUET (PG)

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

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

Twelve men can do a work in 8 days and 16 women can do the same work in 12 days. Eight men and 8 women worked together for 6 days. How many additional men need to be employed to complete the remaining work in one day?

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?

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:

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.

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

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

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

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?

A sum becomes 5 times of itself at 10% per annum simple interest. At what rate of simple interest will it becomes 10 times during the same period?

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

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

In how many years will a sum of ₹800 at 10% per annum compounded semi-annually become ₹ 926.10?

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

Find the compound interest when Rs 22,500 is invested for 18 months at 8% p.a. if the interest is calculated every 6 months (correct to nearest Rs).

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

A sum of money doubles itself on simple interest in 10 years. Find the rate of interest per annum.

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

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% ?

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

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