List of top Quantitative Aptitude Questions asked in CUET (PG)

A journey takes 35 minutes while moving with a speed of 32 km/h. How long would the journey take (in minutes) moving at a speed of 40 km/h?

If $cos \theta =\frac{10}{26} $, then find the value of $cot \theta$:

The positive term series\(\sum\limits_{n=1}^{\infty}\frac{1}{n^p}\)is convergent if

Which of the following set(s) is/are convex set(s)?
A. {(x, y): xy ≤ 1, x ≥ 0, y ≥0}
B. {(x, y): x²-3>-y², x, y ≥ 0}
C. {(x, y): y² ≤ 4x, x ≥ 0, y ≥ 0}
D. {(x, y): x² + y² ≤ 4}
Choose the most appropriate answer from the options given below:

A candidate who gets 20% marks fails by 10 marks. Another candidate who gets 42% marks gets 12 marks more than the minimum passing marks. Find the maximum marks of the test.

The value of \(\frac{43}{3}-\left(3+\frac{1}{3+\frac{1}{3}}\right)-\left(2-\frac{1}{2-\frac{1}{2}}\right)\)is

If a man increases his speed to \(\frac{9}{5}\) times his usual speed, he reaches his office 24 minutes before the office time. Find the time taken by to reach his office with usual speed.

A certain sum fetched simple interest of ₹3200 at the rate of 6.25% per annum in 4 years. What is the sum?

On simple interest a person invested one-fourth of his capital at 8%, one-third at 6% and the remaining at 10%. If his annual income is ₹735, then the capital is :

The diameter of a solid right circular cone is 14cm and its slant height is 10cm.The rate of colouring of the cone is ₹I4/cm² .The cost of colouring :
use (\(\pi=\frac{22}{7}\))

Match List I with List II

List I- (Statistical term)		List II-(Description)
A	Statistics	I	Numbers which occur frequently in population
B	Mode	II	Arithmetic average
C	Frequencies	III	Calculus of observation
D	Mean	IV	Value of the item that has highest frequency

Choose the correct answer from the options given below:

Amar sold a ratio for Rs.1100 with 10% profit and a television for Rs.11500 with 15% profit. His overall profit percentage is:

If \(3 \cot \theta=4\), the value of then \(h\) \(sin^2\theta -cos^2 \theta+tan \;\theta\) is

A solid metallic hemisphese having radius R is melted and recasted as a cone with the same base radius R. If H is the height of the cone so formed, then the relation between H and R is:

Ten men working 8 hours a day can do a work in 15 days. How many more men need to be employed to do the same work in 10 days. If everyone works 10 hours per day?

In how many years will a sum of money doubles itself at 6%% per annum simple intrest?

Amar spends 32% of his income on grossery and 35% of remaining on travels. He spends 25% of still remaining on education of children. He pays Rs. 8000 per month as rent of his house. If his monthly income is Rs. 40000, then how much he saves annually?

In a single throw of two dice, what is the probability that sum of the numbers appearing on the two dice is a prime number?

A horse is tied to a pole by a rope. If the horse move along a circular path always keeping the rope stretched and describes 22 m when it has traced 56° at the centre. The length of the rope is (Usе \(\pi = \frac {22}{7}\))

A 520 m train is running at a speed of 84 km/h. How much time will it take to cross a man walking at 6 km/h in the same direction to that of the train?

An article is sold for Rs. 16500 which was bought at Rs. 18750. Find the loss percent.

The compound interest on 16000 at 20% p.a for 9 months, compounded quarterly is:

Calculate the Arithmatic mean from the following data :

Wages (in Rs.)	100	200	300	400	500
No. of Workers	4	5	3	2	5

Match List I with List II

List I (measures of Dispersion)		List II (Formula)
A.	Range	I.	\(\sqrt[2]{\sum d^2/N}\)
B.	Mean deviation	II.	Q3-Q1
C.	Standard Deviation	III.	H.V - S.V.
D.	Interquartile Range	IV.	∑dx / N

Choose the correct answer from the options given below:

A and B together can do a work in 30 days. they worked together for 20 days and then B left A alone finished the remaining work in 20 days. In how many days A alone can do the whole work?