List of top Mathematics Questions asked in CUET (UG)

A telephone exchange receives on an average 5 calls per minute. The probability of receiving 3 or less calls per minute is :

Match List I with List II

Choose the correct answer from the options given below:

If Paasche's index number is 160 and Laspeyre's index number is 250, then Fisher's index number is:

The prices and the quantities of three commodities are given are :

The Laspeyre's price index number for year 2009 with year 2006 as base is 200. The value of \(x\) is:

Consider the following data:

The equation of the straight line trend by the method of least squares is :

Consider the following hypothesis test:
\(Η_0: μ ≤ 20\)
\(Η_1 : μ > 20\)
A sample of 81 produced a sample mean of 20.55. The population standard deviation is 3. The value of the test statistic is:

A simple random sample consists of four observations 7, 8, 10, 7. The point estimate of population standard deviation is :

Match List I with List II

Choose the correct answer from the options given below:

The present value of a perpetual income of x paybale at the end of each 6 months is ₹ 1,80,000. If the money is worth 5% compounded semi-annually, then the value of x is ₹:

A person buys a flat for which he makes down payment of ₹7,50,000 and the balance is to be paid in 10 years by monthly instalments of ₹22,000 each. If the bank charges interest at the rate of 12% per annum, then the actual price of the flat using flat rate system is:

A car costing ₹8,00,000 has scrap value of ₹3,00,000. If the book value of car at the end of fourth year is ₹6,00,000, then the useful life of the car is:

The minimum value of z=3x+6y subject to the constraints \(2x+3y≤180\), \(x+y≥60\), \(x≥3y\), \(x≥0\), \(y≥0\) is:

A carpenter earns a profit of ₹50 and ₹80 on one chair and one table respectively. The requirement and availability of wood and labour are tabled as:

The number of chairs and tables in appropriate units to be manufactured for maximum profit are, respectively:

Match List I with List II

Choose the correct answer from the options given below:

The set of all positive integers less than 50 forming the equivalence class of 8 for modulo 11 is:

If \(x=3at^2\), \(y=3at^4\) then \(\frac{dy}{dx}\) is:

In the equation of trend line \(y_t=a+bx\), a and b represent:

If Mr. Ravi borrows a sum of ₹1,50,000 at an interest rate of 10% (flat) for a tenure of 3 years, then his EMI based on above data is (approximately) ₹:

Which of the following statements are true ?
(A) Central limit theorem states that the sampling distribution of the mean (\(\bar x\)) approaches a normal distribution as the sample size increases.
(B) As per Central Limit Theorem, when the sample size increases, the mean (\(\bar x\)) for the data becomes closer to the mean of overall population.
(C) The shape of t-distribution does not depend on degree of freedom.
Choose the correct answer from the options given below :

Shaloo sold a mobile phone for ₹ 1,950 at a loss of 25%. At what price should she have sold it to get a profit of 30% ?

The area of a triangle is 9y cm². Find the value of y if its area is equal to the area of an equilateral triangle having side 6 cm.

If three vertices of a rhombus taken in order are (2, -1), (3, 4) and (-2, 3), then the fourth vertex is :

The mean and the median of a certain data are 13.3 and 13.5 respectively. Find the mode.

The probability of getting a correct answer to a question is \(\frac{x}{12}\). If the probability of not getting the correct answer is \(\frac{2}{3}\), then what is the value of x ?

In an examination the marks of six boys are 48, 59, 57, 37, 78, and 57 respectively. The average marks of all the six boys are :