List of top Mathematics Questions asked in CUET (UG)

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:
A person takes a home loan of ₹1200000 from a bank at an interest rate of 12% per annum for 10 years. The EMI under flat rate system is.
A bike costing ₹120000 has a scrap value of ₹30000. If the book value of the bike at the end of third year is ₹90000, then the useful life of the bike is,
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,
In a Binominal distribution, The probability of getting success is \(\frac{1}{5}\) and standard deviation is 4. then its mean is
In △ABC, BD is the internal bisector of ∠B meeting AC at D. If CD = 7 cm and AC = 10.5 cm, then AB : BC is
The maximum number of passengers an aeroplane can carry is 300. A profit of ₹1200 is made on each executive class ticket and a profit of ₹800 is made on each economy class ticket. The airline reserves atleast 40 seats for executive class. However, atleast 5 times as many passengers prefer to travel by economy class than by executive class. The maximum profit of the airline is:
If \(x\sqrt{1+y}+y\sqrt{1+x}=0;x\ne y\), then the value of \(\frac{d^2y}{dx^2}+2\frac{dy}{dx}\) at x = 1 is :
The difference between length and breadth of a rectangle is 15m. If the perimeter of rectangle is 162 m, then the area of the rectangle (in m2) is
In what ratio the line segment joining the points (-2, 3) and (3, -7) is divided by x-axis ?
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:
Arun covers first 28 kms of his journey in 45 minutes and the remaining 32 kms in 35 minutes. What is his average speed in m/s ?
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 :
The maximum value of the function \(f(x)=x+\sqrt{1-x}\) on the interval [0,1] is, 
A discrete random variable X has the following probability distribution:
X123456
P(X)\(\frac{2}{k}\)\(\frac{4}{k}\)\(\frac{1}{k}\)\(\frac{2}{k}\)\(\frac{3}{k}\)\(\frac{5}{k}\)

The value of k 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:
121.2 - 1.212 + 12.12
The money needed to invest now, so as to get ₹7500 at the beginning of each month forever (starting from the current month) if the money is worth 9% per annuum compounded monthly is.
Find the average of first 10 prime numbers.
Which one of the following is not an Arithmetic progression ?
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-IList-II
AIf the corner points of the feasible region For an LPP are (0, 4), (5, 0), (7, 9), then the minimum value of the objective function Z =5x+y is.I27
BIf the corner points of the feasible region for an LPP are (0, 0), (0, 2), (3, 4), (5, 3). then the maximum value of the objective function Z=3x+4yII60
CThe comer points of the feasible region for an LPP are (0, 2), (1, 2), (4,3), (7, 0). The objective function is Z = x+5y. Then (Max Z+Min Z) isIII25
DIf the corner points of the feasible region for an LPP are (0, 4), (3, 0), (3, 2), (6,9) The objective function is Z=2x+6y. Then (Max Z-Min Z) IV26
Choose the correct answer from the options given below
The graph of the inequality 3x - 2y > 6 is
An electric company has 300 Transistors, 400 Capacitors and 500 Inductors. The company wishes to make electronic goods using two circuits A and B. Requirement by circuit is as follows :
TransistorCapacitorInductor
A175300200
B125100300
The profit from circuit A and B is ₹2000 and ₹3000 respectively then constrains of the LLP based on this data are :