List of top Questions asked in CUET (UG)

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 value of a car depreciates every year by \( 10\%\) . What will be its value after \( 3\) years if its present value is \(₹6,25,000\)?

Sourav completes a journey in \(5\frac12\) hours. If he covers half of the distance at \( 5\ km/h\) and the remaining distance at \(6\  km/h\), then find the total distance covered by him.

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:

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?

The ratio between length and breadth of a rectangle is \(3:2\). If area of the rectangle is \( 96cm^2\), then length of the rectangle is

In a school, ratio of number of boys to that of girls was \(6:5.\) In the next year, number of boys increased by \(20\%\) and number of girls increased by \(10\%\) resulting in an increase of \(119\) students in the school. How many students were there in the school initially?

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 \(x.\)

In how many years a sum placed on compound interest becomes 8 times of itself, if it becomes twice in 6 years?

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

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:

If\( cos 6\theta= sin 3\theta\), then the value of \(\theta\) is:

A trader sold half of his articles at 60% profit, half of the remaining at 20% loss and the rest was sold at the cost price. In total transaction his gain % or loss % will be:

If \(\frac{x}{(b + c)(b + c - 2a)} = \frac{y}{(c - a)(c + a - 2b)} = \frac{z}{(a - b)(a + b - 2c)}\), then the value of \(x + y + z\) is:

If P(E)=0.05, what is the probability of 'not E'?

If the average of \(15, 25, 19, 20, 23, 18\) and\( (x-3)\) is \(20\). then Find the average of \(x, (x+6), (2x-1)\) and \(23\).

If the mean of 5 observations x, x+2, x+4, x+6 and x+8 is 11, then value of x

Which term of the A.P. \( 3, 7, 11,........ ,147 \) is its middle term?

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

A man standing on the bank of a river observes that the angle subtended by a tree standing on the opposite bank is 60° on his side of Bank. When he moved away 24 m from the bank, he finds the angle to be 30°. Find the breadth of the river:

The sum of an Infinite geometric series is 4 and the sum of the cubes of the terms of the same GP is 192. The Common Ratio of the original geometric series is :

Three dice are thrown. The probability of getting a sum of numbers which is a perfect cube, is:

In a certain code, COMPUTER is coded as ETUPMOCR. How is INACTIVE written in the same code?