List of top Questions asked in CUET (UG)

The integrating factor of the differential equation (1 +y²)dx - (tan^-1 y - x)dy = 0, is :

Which of the following is correct ?

The function f(x) - x³ , x ∈ R has :

The tangent to the parabola, x² = 2y at the point \((1,\frac{1}{2})\) makes with the x-axis an angle of :

The order and the degree of the differential equation
\(\frac{d^2y}{dx^2}=(1+\frac{dy}{dx})^{\frac{1}{2}}\)
respectively are :

If \(A=\begin{bmatrix} 1 & 2 & x \\ 0 & 1 & 0 \\ 0 & 0 & 1 \end{bmatrix}\), \(B=\begin{bmatrix} 1 & -2 & y \\ 0 & 1 & 0 \\ 0 & 0 & 1 \end{bmatrix}\) and AB = I₃, where I₃ is the unit matrix of order 3 × 3, then x + y is equal to :

If \(A=\begin{bmatrix} x & 1 \\ 1 & 0 \end{bmatrix}\)and A = A^-1, then the value of x is :

If the points (2, -3), (λ, -1) and (0, 4) are collinear, then the value of λ is :

If x, y, z are different and \(A=\begin{vmatrix} x & x^2 & 1+x^3 \\ y & y^2 & 1+y^3 \\ z & z^2 & 1+z^3 \end{vmatrix}=0\), then the value of xyz is :

If y = \(10^{10^x}\), then \(\frac{dy}{dx}\) is :

Match the names listed in List - I with the Institutions/Ranks they are associated with listed in List- II.

List-I Names		List-II Institution/Rank
A	H C Buck	I	President IOA
B	Dorab Ji Tata	II	Modern Olympic Games
C	Pierre de Coubertin	III	Secretary General of IOA
D	G. D. Sondhi	IV	YMCA College of Physical Education, Madras (Chennai)

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Match the number of teams in List - I with their exact number of Byes listed in List - II with reference to a Knock Out Tournament.

List-I No. of Teams		List-II  No. of Byes
A	11	I	4
B	28	II	13
C	19	III	5
D	30	IV	2

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Match the terms listed in List - I with their definitions listed in List - II.

List-I Terms		List-II Definitions Defined
A	Friction	I	For every action their is equal and opposite reaction
B	Law of Inertia	II	Force required to start movement and the force pressing the two bodies together
C	Third law of motion	III	Force that resists sliding
D	Third law of motion	IV	Everything in this world is lazy requiring a force to get it on the move

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Match the Tests/Test Items listed in List - I with the equipment required for administration of Test listed in List- II

List-I Tests/Test Items		List-II Equipment
A	Harvard Step	I	Dumbbell
B	Arm Curl	II	Stop Watch
C	Back Scratch	III	Metronome
D	Zig Zag Run	IV	18" Ruler

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Match the Tests/Test Items listed in List - I with the equipment required for administration of Test listed in List- II.

List-I Physiological Characteristics		List-II Personality Traits
A	Fat	I	Aggressive
B	Slim	II	Fragile
C	Scrawny	III	Quiet
D	Muscular person	IV	Relaxed

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Which of the following statements are true with specific reference to Newton's First Law of Motion?
(A) Inertia is body's resistance to change in movement
(B) The more mass, a body has, the more it will weigh
(C) Inertia is a Swedish word(D) Rate of change of momentum
(E) Mass is the quantity of resistance to change
Choose the correct answer from the options given below:

Arrange the below mentioned Psychologists in a sequential order from earliest to most recent, with specific reference to the year in which they defined Personality:
(A) Robert A Barow 
(B) Eysenck 
(C) Cattell 
(D) Jung 
(E) Allport 
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Choose the correct number of byes to be given in upper and lower half, while drawing Fixtures for 35 teams for a single Knock Out Tournament.
(A) Upper half (14 byes) 
(B) Lower half (14 byes) 
(C) Upper half (15 byes) 
(D) Lower half (15 byes)
(E) Lower Half (16 byes) 
Choose the correct answer from the options given below:

Which of the followings Terms/Statements are true with specific reference to Tamas Guna.
(A) Have destructive behaviour
(B) Plenty of self control
(C) Lazy
(D) Truthfull
(E) Arrogant
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In a knock out Tournament of 11 Teams, arrange the number of matches with regards to rounds (1, 2,3 and 4) in a sequential order?
(A) 01 
(B) 02 
(C) 03 
(D) 04 
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Arrange the following items of Fitness Tests as per the distance covered in a sequential order from longest to shortest ?
(A) Zig Zag Run 
(B) Test Item of measuring Endurance in Motor of Fitness Test 
(C) Shuttle Run 
(D) Test Item designed for the assessment of Speed and Acceleration of Motor Fitness Test 
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Arrange the steps of First Aid for dislocated elbow joint in a sequential manner from first to last?
(A) Immobilise the injured part with a sling 
(B) Take or send the casualty to hospital 
(C) Provide support to the injured part 
(D) Keep checking circulation beyond the bandages every 10 minutes 
(E) Place padding between the injured limb and the body 
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Which of the following options will help in the prevention, control and spread of Communicable Diseases?
(A) Personal Hygiene 
(B) Food Hygiene 
(C) Water Hygiene 
(D) Self Medication 
(E) Environmental Sanitation 
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The SAI as a nodel agency implements which of the following schemes of Ministry of Youth Affairs and Sports?
(A) Army boys Sports Company Scheme for Sub Juniors (ABSC) 
(B) SAI Scheme for International Talent (SIT) for Seniors 
(C) SAI Training Centres Scheme (STC) for Juniors 
(D) Promotion centres of SAI (PCS) for Seniors 
(E) Special Area Games Scheme for Juniors (SAG) 
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Personality classification on the basis of body types was done by :