List of top Questions asked in CUET (UG)

Consider the table below on the quantities of commodities alongside their prices in the year 2020 and 2022.

Commodity	Prices (₹)		Quantities
	In 2020 Year	In 2022 Year	In 2020 Year	In 2022 Year
A	1	2	5	6
B	3	4	3	4
C	5	6	2	5
D	4	5	1	3
E	3	4	4	6

The value of ∑p₁q₀ 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.

Suppose that a 95% confidence interval states that population mean is greater than 100 and less than 300. Then the value of sample mean \((\bar{x})\) and margin of error (E) respectively are :

Shyam takes a loan of ₹5,00,000 with 8% annual interest rate for 10 years. The value of EMI under flat rate system is :

The maximum value of Z=5x+3y subject to the constraints \(2x+4y \leq16,\) \(3x+y\leq9\). \(x,y\geq0\) 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:

A bond of face value ₹1000 matures in 10 years and interest is paid annually at 4% per annum. If the present value of the bond is ₹838, find the yield to maturity (1.04)^-10 ≈ 0.676.

For a certain data test statistic ‘t’ is calculated as : \(|t|=|\frac{65-68}{\frac{4}{\sqrt{15}}}|=2.90\), then select the correct option :

For the given five values 17, 26, 20, 35, 44, the three years moving averages are :

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 :

	Transistor	Capacitor	Inductor
A	175	300	200
B	125	100	300

The profit from circuit A and B is ₹2000 and ₹3000 respectively then constrains of the LLP based on this data are :

The difference between two numbers is 24. If one number is 2 times the second. Then the two numbers will be:

Which of the following statements are incorrect?
(A) Volume of a cone = \(\frac{1}{3} \pi r^3 h\)
(B) Volume of a cone = \(\frac{1}{3} \pi r^2 h\)  
(C) Volume of a hemisphere = \(\frac{2}{3} \pi r^2\)  
(D) Volume of a hemisphere = \(\frac{2}{3} \pi r^3\)  
(E) Volume of a cylinder = \(\frac{1}{3} \pi r^3 h\)  
Choose the correct answer from the options given below:

The average of a positive number, its square and 3 is 5. Find the number.

By selling on book for 250, loss percentage is 10%. What is the cost price?

How many 3 digit even numbers can be formed from the digits (0-9) if repetition of digits are allowed?

Study the following sequence and then answer the question given below:
9 H 7 Z A 9 2 B C H 3 1 X W V 5 T 4 M 6 0 Q 8 F J.
If every fourth letter/number in the above sequence starting from 7 is eliminated, which of the following will be fifth letter/number to the left of the 12th position from your right?

The volume of a sphere of radius r is obtained by multiplying its surface area with :

The surface area (in \(m^2\)) of a sphere of radius 7 cm is :(Use \(\pi= \frac{22}{7}\))

A shopkeeper sold \(\frac23\) of his stock of rice at a profit of \( 5\%\) and the remaining stock at a loss of \(2\%\). If his total profit was \( ₹\)\( 1000\), then the cost price of the whole stock of rice is:

A solid hemisphere of radius \(24 cm\) is melted and identical cones each of base radius\( 8 cm\) and height \( 6 cm \) are formed. How many such cones are formed?

Which one of the following numbers is not a prime number?

The price of rice increases by 30%. A family reduced its consumption so that the expenditure of the rice is up only by 10%. If the total consumption of the rice before the price rise was 10 kg per month, then the consumption of rice per month at present (in kg) is:

If \(A (2,3), B(2,4) C(4,9)\)and \(D (x,8)\) are the vertices of a parallelogram \(ABCD\), then find the value of \(x.\)

If Anil's salary is \(20\%\) less than that of Rama, then by what percent is Rama's salary more than that of Anil?

If CE||DB, what is the value of x: