List of top Mathematics Questions asked in CUET (UG)

Match List I with List II

List-I		List-II
(A)	Volume of cone	(I)	\(\frac{1}{3}\pi h(r_1^2+r_2^2+r_1r_2)\)
(B)	Volume of sphere	(II)	\(\frac{1}{3}\pi r^2h\)
(C)	Volume of Frustum	(III)	\(\pi r^2h\)
(D)	Volume of cylinder	(IV)	\(\frac{4}{3}\pi r^3\)

Choose the correct answer from the options given below:

At what rate of simple interest, a sum of ₹1,800 will become ₹2,700 in 10 years?

If P, R, T are the areas of parallelogram. a rhombus and a triangle standing on the same base and between the same parallel lines, then which of the following is true?

The number \(0.4\overline{23}\) converted to a fraction, then it is equal to:

If you are head of your office, some media people come to your office and request you brief them about the pension plan of your office, you will:

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

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

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

If two squares X and Y have each side of 10 m and 20 m respectively, then the side of the square Z whose area is equal to the sum of the areas of square X and square Y is:

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 \(23\).

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

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

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:

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

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

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 :

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:

If the matrix \(\begin {bmatrix} x-y&1&-2 \\ 2x-y&0&3 \\ 2&-3&0 \end {bmatrix}\) is skew-symmetric, then values of x and y are respectively

The curved surface area of a right circular cone of height 12 cm and base diameter 10 cm is:

Find the 18^th and n^th term of the A.P. given by :
8, 13, 18,...

If a person travel \(10\frac{1}{5}\) Km in 3h, then the distance covered by him in 5 h will be :

Find the co-ordinate of the mid point of a line which joins P(2,-1) and Q(-3, 4):

How many chords can be drawn through 5 points on a circle ?

Two pipes A and B can fill a tank in 10 h and 15 h Respectively. Find the time taken to fill the tank when both the pipes are turned on simultaneously :

At what rate of interest 1,200 becomes ₹ 1,323 in 2 years where interest gets compounded annually: