List of top Mathematics Questions asked in CUET (UG)

The degree of the differential equation $\left(1 - \left(\frac{dy}{dx}\right)^2\right)^{3/2} = k \frac{d^2 y}{dx^2}$ is:

For fencing of flower bed with 100 cm long wire in the form of circular sector, the maximum area of the flower bed is :

The corner points of feasible region determined by the system of linear constraints are (0, 3), (1, 1) and (3, 0). Let Z = px + qy where p, q > 0. The condition on p and q so that, minimum of Z occurs at (3, 0) and (1, 1) is :

If a random variable X follows poison distribution such that 3P(X=1)=P(X=2), then P(X=4) is,

If the mean of 5 observations x, x+2, x+4, x+6 and x+8 is 11, then value of x

The value of \(sin^{-1}\frac{12}{13} +cos^{-1}\frac45+tan^{-1}\frac{63}{16}\) is :

Consider the following statements :
A. Cost of living at two different cities can be compared with volume index.
B. When the prices of rice are to be compared we use price index.
C. In Laspeyre's price index number weight is considered as price in current year.
D. Purchasing power of money can be assessed through consumer price index.
E. Fisher Index number is called ideal index number.
Choose the correct answer from the options given below :

How many 3-letter words can be formed from the letters of the word 'OBJECTS' if repetition is not allowed?

The price of rice increases by 30%. A family reduced its consumption so that the expenditure of the rice is up only by 10%. If the total consumption of the rice before the price rise was 10 kg per month, then the consumption of rice per month at present (in kg) is:

A die is thrown. Find the probability of getting:
(A) A number greater then 6 and
(B) A number less than 3.

A bag contains 12 white and 18 red balls. Two balls are drawn in succession without replacement. The probability that the first is red and second is white is:

In a box containing 100 bulbs, 10 are defective. The probability that out of a sample of 5 bulbs none is defective, is :

Three coins are tossed once. Probability of getting no head is :

A bag contains 6 red, 4 blue and 10 white balls. A ball is picked from the bag at random What is the probability that it is neither white nor blue?

A die is thrown n times. A random variable X denotes the number of times, the number on the dice is greater than 4 and P(X = 1) = 2P(X = 2). The value of n is :

A card is drawn at random from a well shuffled pack of 52 cards. What is the probability of getting a ‘two’ of hearts or a ‘three’ of diamonds ?

Choose odd one out from the following:

Study the following sequence and then answer the question given below:
9 H 7 Z A 9 2 B C H 3 1 X W V 5 T 4 M 6 0 Q 8 F J.
If every fourth letter/number in the above sequence starting from 7 is eliminated, which of the following will be fifth letter/number to the left of the 12th position from your right?

Three dice are thrown. The probability of getting a sum of numbers which is a perfect cube, is:

A pair of dice is thrown 3 times. If getting a doublet is considered a success, then the probability of two successes is :

In a box, consisting 100 bulbs, 10 are defective. The probability that out of a sample of 5 bulbs, none is defective is :

Two balls are chosen randomly from an urn containing 8 white balls and 4 black balls by a player. Suppose that he wins ₹30 for each black ball selected and loses ₹15 for each white ball selected. The expected value of winning amount is :

Match LIST I with LIST II

List-I		List-II
A	Randomization is used in	I	Unbiased sampling
B	Randomization is not used in.	II	Probability sampling
C	If every element in the population has an equal chance to be part of the selected sample, then the sampling process is called	III	Biased sampling
D	If a sampling process systematically favours certain outcomes over others, then it is called	IV	Non-probability sampling

Choose the correct answer from the options given below

If \(P(A) = \frac{3}{10}\), \(P(B) = \frac{2}{5}\) and \(P(A \bigcup B) = \frac{3}{5}\), then \(P(B|A)+P(A|B)\) is equal to:

Anita and Bikram are two students. Their chances of solving a problem correctly are \(\frac13\) and \(\frac14\) respectively. If their probability of making a common error is  \(\frac{1}{20}\) and they both obtain same answer then the probability that their answer is correct, is :