List of top Mathematics Questions asked in CUET (PG)

The term which is independent of n in the expansion of (7x2+\(\frac{1}{x}\))6 is
For any positive integer 7m-3m is divisible by
Two trains each of length 250 m start at the same time on two parallel tracks from point A and point B and approached each other with speed of 36 km/hr and 44 km/hr respectively. When they crossed each other, it was found that one train has moved 40 km more than the other. The distance between A and B is:
Perimeter of a square is same as perimeter of a rectangle. If sides of rectangle are in the ratio 17:11, then find the ratio in the areas of the square and the rectangle.
If 4/5 of A= 60% of B = 0.75 of C, then A:B:C is
In a class of 25 students, 72% students are interested in sports. How many students do not like participating in sports?
If \(\frac{\sin{\theta} + \cos{\theta}}{\sin{\theta} + \cos{\theta}} = \frac{1}{77}\), then find the value of \(\sin^4{\theta} - \cos^4{\theta}\):
Find a single discount equivalent to successive discounts of 10%, 20% and 25%
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:
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).
\(\frac{8}{3}\) of \(40\%\) of \(\frac{18}{39}\) of 156 = _______ ?
If a % of a + b % of b = 2% of ab, then what percent of a is b ?
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 triangle can have:
In how many years will a sum of ₹800 at 10% per annum compounded semi-annually become ₹ 926.10?
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 \(A=\begin{bmatrix} 7 & 9 & -2 \\ -2 & 0 & 3 \end{bmatrix}\) and \(B=\begin{bmatrix} 1 & 0 & 5 \\ 6 & 3 & 2 \end{bmatrix}\) then A+B =
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 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?
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:
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% ?
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
A sum of money doubles itself on simple interest in 10 years. Find the rate of interest per annum.
If A, B and C are acute positive angles such that A + B + C = π and cot A cot B cot c = K, then
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: