List of top Questions asked in CUET (PG)

Given below are two statements about a normally distributed data.
Statement I : 95.45% of the occurrences will lie between \(\bar {X}±3σ\).
Statement II : 68.27% of the occurrences will lie between \(\bar {X}±1σ\).
In the light of the above statements, choose the correct answer from the options given below:

Read the given statements about correlation carefully and identify the correct statements.
A. A positive relation means that the variables vary in the same direction.
B. If two or more variables are related in a statistical way, is sufficient to conclude that a cause and effect relation exists.
C. A negative relation means that the two variables vary in the opposite direction.
D. Pearson's Product-Moment Method is a method used to calculate r.
Choose the correct answer from the options given below:

Match List I with List II :

List I (Method)		List II (Characteristic)
(A)	Mean	(I)	Identify what is most common
(B)	Median	(II)	Based on sound mathematics
(C)	Mode	(III)	Square-root of the variance
(D)	Standard deviation	(IV)	Divides into 2 equal parts

Choose the correct answer from the options given below:

Ravi invested certain sum on simple interest. He invested two-third of his sum at 7% p.a and the remaining at 8% p.a. In 3 years he earned ₹1320 as interest. Find the sum invested by him (in ₹).

In what ratio must a grocer mix tea leaves costing Rs.600/kg and rs.650/kg. So that by selling the mixture at Rs.682/kg, he gains 10%?

If sec 5 A = Cosec A, then the value of A is

Which one of the following options is considered as the relative measure of dispersion?

The surface area of the sphere x² + y² + z² = 9 lying inside the cylinder x² + y² = 3y is

Let F: R³ →R² be the linear map defined by F(x, y, z) = (3x+2y-4z, x-5y+3z). The basis of R³ is S and basis of R² is S', where S = {(1, 1, 1), (1, 1, 0), (1, 0, 0)} and S' = {(1, 3), (2, 5)}. Then the matrix of F in the bases of R³ and R² is

If 5x+4y=83 and \(\frac{2x}{3y}=1\frac{1}{21}\) then the value of x²-y² is:

Consider the trigonometric equation $ \tan(x) - \tan(y) = 0 $, where $x$ and $y$ are not odd multiples of $ \frac{\pi}{2} $. Then the solution of this equation is:

A sample was excited by 4358 Å line of mercury. A Raman line was observed at 4447 Å. Calculate Raman Shift in cm^-1

In a certain coding system, if 2 = 5, 4=18, 6=39 then 10 = ?

Slack time in PERT Analysis

A parallel plate capacitor consists of two square metal plates 5.0 cm of side and separated by 1 cm. A sulphur slab of thickness 5 mm is placed on the lower plate. What will be the capacitance of the capacitor? (Dielectric constant of sulphur = 4)

Match List I with List II

Choose the correct answer from the options given below:

A population has 600 individuals, 150 of genotype AA, 300 of genotype Aa and 150 of genotype aa. What is the frequency of allele A ?

Electrons are accelerated by 344 volts and reflected from the crystal. The first reflection maximum occurs when glancing angle is 30°. What will be the value of interplanar spacing of the crystal? [Given h=6.62×10^-34 Js, m_e = 9.1x10^-31 kg]

Given below are two statements:
Statement I: Most empirically supported treatments are psycho dynamic or humanistic.
Statement II: RCTS (Randomized Control Trials) are regarded as the gold standard in psychotherapy research.
In the light of the above statements, choose the correct answer from the options given below :

A man is walking at a speed of 6 km/h. After every km he takes rest for 6 minutes. How much time will he take to cover a distance of 24 km.

In an office 60% of the staffs are male. In an election in the office, 40% of the females and 60% of the males voted for Anju. The percentage of votes Anju got was

Who said "Poetry is what gets lost in translation?"

The total cost of manufacturer is C=5000+1000q-500q²+ 2q3/3.The value of q for which MC = AVC will be :-

Fill in the blanks with appropriate prepositions from the given options:
In a bid to check urban apathy _______ voters, the Election comission had decided _______ hold the poll _________ the middle _________ the week to prevent people planning an outing by clubbing the poll day holiday with the weekend break.

What do the following plays have in common?
(A) The Way of the World
(B) The Stoops to Conquer
(C) The Importance of Being Earnest
(D) Pygmalion
Choose the correct answer from the options given below: