List of top Questions asked in CUET (PG)

By selling 100 pens, a shopkeeper gains the selling price of 40 pens. Find his gain percent ( correct to 2 decimal places) :
Three men and 2 boys can do a piece of work in 10 days, which 2 men and 3 boys can do the same work in 8 days. In how many days can 2 men and 1 boy do the work?
Which of the following is the set of those elements which are common in both A and B?
The average of nine consecutive natural numbers is 25. Find the smallest number.
Simplify: \(\frac {\frac 34+\frac 15-\frac {1}{10}-1}{\frac 18+\frac 12-\frac 34}\)
The product of two numbers is 4840. If the first number is two fifth of the second number, then what is the first number?
In what time will a 640 m long train cross an electric pole if its speed is 96 km/h?
The sum of two numbers is 40 and their HCF is 8. How many pairs of numbers satisfy both the conditions?
Two numbers are 26% and 40% respectively of a third number what percentage is the first number of the second number?
A trader sold an article at a gain of 20% Had he purchased it for 40% more and sold for 24 less, he would have incurred a loss of 20%. What is the cost price of the article?
A certain sum of money on simple interest amounts to 1,278 in 3 years and to 1,593 in \(5\frac 12\) years. Find the rate of interest per annum.
Find the sum of the fourth proportional of 60, 24, 15 and the mean proportional of 5 and 20.
Akhil is two times as efficient as Vinod and Kamal is three time as efficient as Vinod. They worked together and received ₹ 5,700 for doing the work. Find the share of Kamal in the money received.
Pipes A and B can fill a tank in 25 hours and 10 hours respectively. Pipe A was opened and after half an hour pipe B was also opened. In how much time the tank got filled?
Three boys A, B and C are running with speeds 40 m/s, 2500 m/minute and 144 km/h respectively, then
(1) A and C have same speed which is less than the speed of B
(2) Speed of B is the highest
(3) Speed of C is more than the speed of B
(4) All the boys A, B, and C have equal speeds
Choose the correct answer from the options given below:
A man invests some money partly in 8% stock at 105 and partly in 12%, stock at 90. In what ratio should he invest the money to have equal dividends?
A dealer marked an item with cost price Rs.600 at 50% above the cost price and offered 20% discount. Find the selling price.
In the figure, ∠AOC = 42° and PQ is perpendicular to CD. Find the value of x.
In the figure ∠AOC = 42° and PQ is perpendicular to CD
The value of \(\frac {1+tan^2θ}{1+cot^2θ} \times (1-sin^2θ)\) is
If A = {2, 3, 6} and B = {2, 3, 4, 5, 6} are two sets, then
(A) A⊂B
(B) AUB=B
(C) A∩B=Φ
(D) A∩B= A
Choose the correct answer from the options given below:
If mean of 7, 2, 9, 4 and K is 5, then find the median of 12, 6, K, 9, 15
Solution A Contains 12% water and the remaining is milk. Solution B contains 30% water and the remaining is milk. In what ratio should solutions A and B be mixed to obtain a mixture with 84% milk?
A quadrilateral ABCD has diagonal AC of length 28 cm. If the perpendiculars drawn from vertices B and D to AC are 30 cm and 21 cm respectively, then find its area.
The average age of a boy and a girl is 30 years. The ratio of their ages is 5:7. Ages of the boy and girl respectively:
Value of \(\int_c\frac{2z+1}{z^2+z}dz\), where C is\(|z|=\frac{1}{2}\), is: