List of top Mathematics Questions asked in CUET (UG)

If three vertices of a rhombus taken in order are (2, -1), (3, 4) and (-2, 3), then the fourth vertex is :
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 :
A man was allotted a work for 30 days on the condition that he would get ₹ 10 per day as wage if he reports for work and if he remains absent he would have to pay ₹ 2 as penalty for the day. Ultimately he got ₹ 216. For how many days he remained absent ?
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.
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 ?
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 :
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:
RequiredChairTableAvailable
Quantity
Wood
Labour		3
1		5
2		150
56
The number of chairs and tables in appropriate units to be manufactured for maximum profit are, respectively:
Match List I with List II
LIST I LIST II
A.The common region determined by all the linear
constraints of a L.P.P. is called corner point		I.corner point
B.A point in the feasible region which is the intersection
of two boundary lines is called,		II.non-negative
C.The feasible region for an LPP is always aIII.feasible region
D.The constraints \(x, y≥0\) describes that the
variables involved in a LPP are		IV.convex polygon
Choose the correct answer from the options given below:
A simple random sample consists of four observations 7, 8, 10, 7. The point estimate of population standard deviation is :
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 ₹:
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:
Consider the following data:
Year20122013201420152016
Sales (in crores)8107912
The equation of the straight line trend by the method of least squares 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:
Match List I with List II
LIST I LIST II
A.A special characteristic of a population is called I.Sample Size
B.The number of statistical individuals in a sample is calledII.Statistic
C.A special characteristic of a sample is calledIII.Standard error
D.The standard deviation of the sampling distribution of a statistic is known as itsIV.Parameter
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:
Match List I with List II
LIST I LIST II
A.In a binomial distribution, if n=10, q=0.25, then its mean isI.12
B.If the mean of a binomial distribution is 6 and its variance is 3, then p isII.7.5
C.In a binomial distribution, the probability of getting a success is 1/4 
and the standard distribution is 3, then its mean is		III.16
D.If the mean and variance of a binomial distribution are 4 and 3 respectively,
then the number of trials is		IV.½
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A telephone exchange receives on an average 5 calls per minute. The probability of receiving 3 or less calls per minute is :
The point on the curve y²=16x for which the y-coordinate is changing 2 times as fast as the x-coordinate is:
The total cost function for x units of a commodity is given by \(C(x) = \frac{25x^3}{3}-75x^2+48x+34\). The output \(x\) at which the marginal cost is minimum is:
Match List I with List II
LIST I LIST II
A.The minimum value of \(f(x)=8x²-4x+7\) isI.48
B.The maximum value of \(f(x) = x+\frac{1}{x}, x < 0\) isII.13
C.The maximum slope of the cure \(y = -2x^3+6x^2+7x+26\) isIII.-2
D.The minimum value of \(f(x) = x² +\frac{128}{x}\) isIV.\(\frac{13}{2}\)
Choose the correct answer from the options given below:
A product costs the manufacturer ₹20 per unit. The demand function is given by p(x) = 1000-20x, then the quantity for maximum profit is:
A discrete random variable X takes the values 0, 1, 2, 3, 4 and its mean is 1.6. If P(X=1)=0.4, P(X=4)=P(X=2) and P(X=3)=2P(X=2), then P(X=0) is: