List of top Mathematics Questions asked in CUET (UG)

In a 1000 m race. A beats B by 50 meters or 10 seconds. The time taken by A to complete the race is :
If x = 4t2, \(y=\frac{3}{t^3}\), then \(\frac{d^2y}{dx^2}\) at t = 1 is :
In a binomial distribution, the probability of getting a success is \(\frac{1}{3}\) and the standard deviation is 4. Then its mean is :
For the given five values 17, 26, 20, 35, 44, the three years moving averages are :
A vehicle whose cost is ₹7,00,000 will depreciate to scrap value of ₹1,50,000 in 5 years. Using linear method of depreciation, the book value of the vehicle at the end of the third year is :
The value of 28 mod 3 is.
A container is full of mango juice. One fifth of juice is taken out from this container and then an equal amount of water is poured into the bottle. This process is repeated 3 more times. The final ratio of juice and water in the container is:
Three partners A, B and C shared the profit in a business in the ratio 6:9:10 respectively. If A,B and C invested the money for 12 months, 7 months and 5 months respectively, then the ratio of their investment is:
A cistern is filled in 30 minutes by three pipes A, B and C. The pipe C is thrice as fast as pipe A and pipe B is twice as fast as A. The time taken by pipe A alone to fill the cistern is:
Match List I with List II

LIST I

LIST II

A.The solution set of the inequality
\(5x-8\gt2x+3,x\in R\ is,\)		I.\((-\infin,\frac{6}{5}]\)
B.The solution set of the inequality
\(3x-4\lt5x+7,x\in R\ is,\)		II.\((\frac{6}{5},\infin)\)
C.The solution set of the inequality
\(4x+15\le3(1-2x)is,\)		III.\([10,\infin)\)
D.The solution set of the inequality
\(7x-8\ge2(1+3x)is,\)		IV.\((-\frac{11}{2},\infin)\)

Choose the correct answer from the options given below:
If \(\begin{bmatrix} a+2&3b+2c\\c+3&7d+6 \end{bmatrix}=\begin{bmatrix} 2&-3\\3c&-8 \end{bmatrix}\), then the values of a,b,c and d are.
If \(3\begin{bmatrix} x&3\\2&1 \end{bmatrix}+4\begin{bmatrix} 1&2\\5&y \end{bmatrix}=\begin{bmatrix} 10&17\\26&11 \end{bmatrix}\)then the value of (3x+2y) is:
If the matrix \(A=\begin{bmatrix} 5&4a+6\\a+12&a+3 \end{bmatrix} \)is a symmetric matrix, then the value of a is:
If \(y=x^3\log x, then\ \frac{d^2y}{dx^2}\) is:
The maximum value of the function \(f(x)=x+\sqrt{1-x}\) on the interval [0,1] is, 
The total cost of a firm is given by c(x)=\(\frac{2x^3}{3}-4x^2+8x+7. \) The level of output at which marginal cost is minimum is
Match List I with List II

LIST I

LIST II

A.The maximum value of the function
\(f(x)=25x-\frac{5x^2}{2}+7\) in [-1,6] is		I.24
B.The minimum value of the function
\(f(x)=2x^3-15x^2+36x+1\) in [1,5] is		II.\(\frac{1}{16}\)
C.The maximum value of the function
\(f(x)=\frac{x}{2}-x^2\) in [0,1] is		III.\(\frac{139}{2}\)
D.The least value of the function
\(f(x)=\frac{9}{x+3}+x\) in [-7,1], \(x\ne-3\) is		IV.\(-\frac{37}{4}\)

Choose the correct answer from the options given below:
The probability distribution of a discrete random variable X is defined as:
\(P(X=x)=\begin{cases} 3kx & \text{for } x=1,2,3\\  5k(x+2) & \text{for } x=4,5 \\ 0& \text{otherwise}\end{cases}\)
The mean of the distribution is:
In a Binominal distribution, The probability of getting success is \(\frac{1}{5}\) and standard deviation is 4. then its mean is
If a random variable X follows poison distribution such that 3P(X=1)=P(X=2), then P(X=4) is,
Match List I with List II

LIST I

LIST II

A.Weight is considered as quantity in
base year in,		I.Paasche's index
number
B.Weight is considered as quantity in
current year in,		II.Fisher's index
number
C.The index number which is called as
ideal index number is,		III.Marshall-Edgeworth's
index number
D.Weight is taken as the average of the
base year quantity and current year
quantity in		IV.Laspeyre's index
number

Choose the correct answer from the options given below:
The price relatives and weights of a set of commodities are given as:
CommodityPQR
Price Relative100130180
Weightx2xy

If the sum of weights is 54 and index for the set is 130, then the values of x and y are
Consider the following data:
Year20082009201020112012
Production(In Tons)6075807085
The equation of the straight line trend by the method of least squares is,
Consider the following hypothesis test
H0: μ>=16
Η1: μ < 16
A sample of 36 provided a sample mean of 15.4. The population standard deviation is 3. The value of the test statistic 't' is.
A random sample of size 9 has 21 as sample mean. The sum of the squares of the deviations taken from mean is 72. The sample is drawn from the population having 23 as mean. The value of test statistic is,