List of top Questions asked in CUET (PG)- 2023

A is twice as good a workman as B. Together they finish a piece of work in 24 days. In how many days B alone can finish the work?
If A = {a, b, c) and R={(a,a), (a,b), (b,c), (b,b), (c,c), (c,a)} is a binary relation on A then which one of the following is correct?
The speeds of A and B are in the ratio 3:4. A takes 20 minutes more than B to reach the destination. In what time does A reach the distination?
A window is in the form of a rectangle surmounted by a semicircle. Perimeter of the window is 4.6m and height of the rectangular portion is 0.5m, then find the radius of the semicircular portion. (Take \(\pi=\frac{22}{7}\))
Look at the series: 1296, 648, 216, 108, 36, __ .
Which one of the following numbers should come next in the series?
A train 220 m long in moving at 54 km/h. Time taken by it to cross a person running in the same direction with speed of 18 km/h is:
A vegetable vendor buys 100kg tomatoes at the rate of Rs18 and spent Rs120 as cartage. He sells 80Kg tomatoes at Rs25/kg and 16kg tomatoes at Rs20/kg. Remaining tomatoes got rotten and could not be sold. Find his profit percentage (correct to one decimal place)
The average of 5 consecutive positive integers starting with m is n. What is the average of 6 consecutive positive integers starting with (m+2)?
Given below are two statements:
Statement I: Pulizter Prize is given in the field of Journalism.
Statement II: Ramnath Goenka award is also given for excellence in Journalism.
In the light of the above statements, choose the most appropriate answer from the options given below.
According to data released by the IMF,which country's economy has become the fifth largest economy in the world leaving Britain behind?
Right to Information Act came into force in which year in India?
What is 'Sub judice"?
Which Union Ministry has launched the Mission Antyodaya Survekshan 2022-23 on 9th February 2023?
Who said 'Comment is free, facts are sacred'?
The first joint military exercise FRINJEX-23 between the Indian Army and the French Army was held in which city?
Who was appointed as the first Chief Justice of independent India?
Given below are two statements:
Statement I Delhi : Colour Television was introduced with Asian Games hosted in New
Statement II : Colour Television was introduced with Commonwealth Games hosted in New Delhi
In the light of the above statements, choose the correct answer from the options given below:
'Bhagoria' is a folk dance of which tribe in Madhya Pradesh?
Sonu and Monu undertake to do a piece of work for ₹3,600. Sonu along can do it in 6 days while Monu alone can do it in 8 days. With the help of Ramu, they finish it in 3 days. The share of Ramu (in ₹) will be :
A general linear programming problem which is a maximization problem in two decision variables (x1 and x2) and two resource constraints (b1, and b2) can be set up in the following way:
A. Specify the inequality constraints also known as the resource constraints as a11x1+a12x2 ≤ b1 and a21x1+ a22x2 <b2 ; and non-negativity constraints: x1 ≥0, x2 ≥ 0. 
B. Solve the problem and plot the constraints on a graph in (x1, x2) space to define the feasible solution. 
C. Specify the criterion function which involves maximizing a linear function: max, z=c1x1+c2x2.
D. The optimal solutions given by \((\text{x}^*_{1},\text{x}^*_{2})\) can be used to find the maximum value of the objective function z*. 
Choose the correct answer from the options given below:
Two pipes A and B can fill a tank in 15 minutes and 20 minutes respectively. Both the pipes are opened together but after 4 minutes, pipe A is turned off. What is the total time taken to fill the tank?
Which of the following statements is/are correct in AX = 0
A. A system of linear equations is homogeneous if each constant to the right of the equality is zero.
B. A system of linear equations has either a trivial solution or infinite number of solutions.
C. A system of homogeneous equations with more than unknowns than equations (m <n) is consistent and has infinite many solutions.
D. In cases where there are solutions other than the trivial solution, the equations are linearly independent.
Choose the correct answer from the options given below:
Jayant invested a sum of Rs. 65,000 in two schemes and received Rs.7275 as interest after 2 years. In scheme I simple interest is payable at 6% per annum and in scheme II compound interest is payable at 5% per annum Find the ratio of sums he invested in scheme I and scheme II.
A large cube is formed by melting three solid metallic cubes of sides 3cm, 4cm and 5cm respectively. What is the ratio of the sum of the surface areas of the given cubes and that of the new cube?
When a painted cube is cut into 125 small identical cubes, how many smaller cubes have no face painted?