List of top Questions asked in CUET (UG)

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

If the cost function and revenue of x unit of an item are given by C(x)=25x²-x and R(x)=4x. Then the number of item to be produced to have maximum profit 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.	\(-\frac{37}{4}\)

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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 \(\begin{bmatrix} a+2&3b+2c\\c+3&7d+6 \end{bmatrix}=\begin{bmatrix} 2&-3\\3c&-8 \end{bmatrix}\), then the values of a,b,c and d are.

If the matrix \(A=\begin{bmatrix} 5&4a+6\\a+12&a+3 \end{bmatrix} \)is a symmetric matrix, then the value of a 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:

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, 

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.	\((-\frac{11}{2},\infin)\)

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The value of 28 mod 3 is.

A motor boat covers 36 km downstream and 24 km upstream. If the boat takes 6 hours to cover each distance, then the speed of the motor boat in still water 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 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:

Match the sports listed in List I with the ways by which friction can be increased listed in List II

List I Sport/Event		List II Ways to Increase Friction
A.	Athletica (Track Events)	I.	Studs
B.	Gymmastics	II.	Grip Tapes
C.	Hockey	III.	Magnesium Powder
D.	Soccer	IV.	Shoes with spikes

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Disability is understood as a condition that produces long term impairment that affects activities of daily living, but many times disability may be _____.
A. Invisible
B. Temporary
C. Congenital
D. Gender oriented
E. Economical
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Which of the below-mentioned statements are true ?
A. Guildford defined personality as an individual's unique pattern of traits.
B. Jung defined personality as of stable pattern of behaviour.
C. Sheldon offered a topology of personality based on three body types.
D. Baron said personality is which permits a prediction of what a person will do in a given situation.
E. Allport referred personality as the dynamic organisation within the person of those psychological systems that determine his unique adjustment to his environment.
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Match the number of byes listed in List I with the formulae listed in List II.

List I Statement		List II Formula
A.	Number of Byes in Upper Half	I.	\(\frac{N+1}{2}\)
B.	Number of Byes in Lower Half	II.	\(\frac{NB+1}{2}\)
C.	Number of Teams in Upper Half	III.	\(\frac{N-1}{2}\)
D.	Number of Teams in Lower Half	IV.	\(\frac{NB-1}{2}\)

Note : Wherein N stands for total number of teams and NB stands for total number of bytes
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Match the terms listed in List I with the most suited statement listed in List II

List I Terms		List II Statement
A.	Disease	I.	From country to country
B.	Communicable	II.	Occurs in a community
C.	Epidemic	III.	Infectious
D.	Pandemic	IV.	Without ease

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Match the tests/term listed in List I with the test items listed in List II

List I Tests/Terms		List II Test Items
A.	Motor Fitness Test	I.	Chair Stand Test
B.	Rikli and Jones Test	II.	Harvard Step Test
C.	General Motor Ability Test	III.	600 meters Run/Walk
D.	Aerobic Fitness	IV.	Zig Zag Run

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Match the year of establishment listed in List I with the Sports Federation listed in List II

List I Year of Establishment		List II Federation
A.	1951	I.	Kabaddi Federation of India
B.	1926	II.	Board of Control for Cricket in India
C.	1928	III.	Volleyball Federation of India
D.	1950	IV.	Table Tennis Federation of India

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Which of the following statements are true with specific reference to the principles related to Law of Reciprocal Action Force ?
A. Counter force is equal to the applied force when a stable surface is used.
B. Twisting movements are based on transfer of momentum from part to whole.
C. Rate of rotation is increased as the radius of rotation is decreased.
D. Counterforce is most effective, when it is perpendicular to the supporting surface.
E. Less stable the surface is, lesser will be the counter force.
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Arrange the following communicable diseases as per their incubation period, in a sequential order from lowest to highest.
A. Cholera
B. Rubella
C. Influenza
D. Measles
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Arrange the following scorings of 30 sec Chair Stand Test in a sequential order from highest to lowest.
A. 12 Half stands
B. 6 Full stands
C. 6 Full stands and 1 Half stand (when time is over)
D. 4 Full stands and 4 Half stands
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Arrange the following Sports Federations as per their year of establishment in a sequential order from oldest to latest.
A. Basketball Federation of India
B. Indian Amateur Boxing Federation
C. Athletic Federation of India
D. Board of Control for Cricket in India
E. Volleyball Federation of India
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