List of top Questions asked in CUET (UG)

A student goes to school from his residence at a speed of \(2\frac{1}{2}\) km/h and reaches school 6 minutes late. If he travels at a speed of 3 km/h, he reaches 10 minutes before time. What is the distance of his school from his residence ?
In the figure, O is centre of the circle. What is the measure of ∠ABC ?
Circle with O as the centre.
The sum of the first four terms of an A.P. is 56 and the sum of its last four terms is 112. If its first term is 11, then find the number of terms.
If \(A: B: C=1:4: 7 \) and \(B = (2x) % \)\(%\)\(\%\)of \((A+C)\), then \(x \) is :
The cost price 15 articles is equal to the selling price of 20 articles. Find the loss percentage.
The marked price of a chair is \(150%\)\(\%\) of its cost price. A discount of \(30\%\) is given while selling the chair. What is the profit percentage?
Two years ago, population of a city was \(16,52,600 \)which increased by \( 10\%\) in the first year and by \(15\%\) in the second year. Find the present population of the city.
A sum of\( 10,000\) becomes \( 14,400\) on compound interest in \(2\) years. What is the rate of interest per annum?
The area of a circle is \(154 \text{ }cm^2\). Find the circumference of the circle. Take \(\pi=\frac{22}{7}\)
If perimeter of a rhombus is 104 cm and length of one of its diagonals is 48 cm, then area of the rhombus (in cm2) is:
If point \(B(0, 1)\) is equidistant from points\( A(5, -3) \)and \(C(x, 6)\), then find the values of \( x\)
Find the median of the following data: \(42, 19, 46, 17, 8, 35, 26, 39, 29\)
Three coins are tossed once. Probability of getting no head is :
Find the average of squares of first five natural numbers.
Two bags of iron ore weight 180 kg 250 gm and 270 kg 50 gm respectively. How much iron ore (in gm) must be taken out from the first bag and added to the second bag so that weight of the first bag may then be two-third of the second bag?
In a \(\angle\)\(ABC\) right angled at A, if \(\triangle\)\(ABC=60°\) and\( AC=4\) units, then length of \(BC\) (in units) is :
The heights of two right circular cones are in the ratio \(1 : 2\) and the circumferences of their bases are in the ratio \(3: 4.\) Find the ratio of their volumes.
A, B and C can do a work in 10, 12 and 15 days respectively. In how many days will the work be completed if B is assisted by both A and C on every third day?
Which of the following speeds is maximum?
A thief is spotted by a policeman from a distance of \(200 \)meters. The policeman starts chasing at a speed of \( 10 \frac{km}{h}\) while the thief is running at a speed of \( 8\frac{km}{h}\). After how much time (in minutes) will the thief be caught?
If 7-digit number 485A64B is divisible by 8 and 9, then find the greatest value of A+ B.
A ladder 25 feet long is leaning against a wall such that it touches 24 feet high window. How far is the foot of the ladder from the wall?
In an A.P., the product of the first term and the second term is 120 and the product of the second term and the third term is 168. Find the tenth term of the A.P. when common difference \(d>0\)
If \(A=\begin{bmatrix} 1 & 2 & x \\ 0 & 1 & 0 \\ 0 & 0 & 1 \end{bmatrix}\), \(B=\begin{bmatrix} 1 & -2 & y \\ 0 & 1 & 0 \\ 0 & 0 & 1 \end{bmatrix}\) and AB = I3, where I3 is the unit matrix of order 3 × 3, then x + y is equal to :
If \(A=\begin{bmatrix} x & 1 \\ 1 & 0 \end{bmatrix}\)and A = A-1, then the value of x is :