CUET Questions — Mathematics — CUET UG

A basket contains 4 red, 5 blue and 3 green marbles. If three marbles are picked at random, what is the probability that at least one is blue?

Q30. The orthocentre of a triangle is the point of concurrency of its:

Q23. From the figure, what is the value of x?

Profit earned by selling an article for Rs.1060 is 20% more than the loss incurred by selling the article for Rs.950. At what price should the article be sold to earn a 20% profit?

Q40. If cos 60 = sin 30, then the value of θ is:

Q21. 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.

Q40. If √2: (1 + √3) :: √6: x, then x is equal to: 1. 3 + √3 2. 1 + √3 3. √3 - 3 4. 1 - √3

Q37. A sales agent travels a distance of 50 km in 2 hours and 30 minutes. How much faster, in kilometers per hour, on average, must he travel to make such a trip in 5/6 hours less time?

Q4. Which of the following statements are true for rectangles? A. All interior angles are right angles. B. Diagonals are perpendicular to each other. C. Diagonals are equal D. Opposite angles are supp

Q13. If A: B=2/3:5/8, B: C=1/3:5/9 and C:D = 5/6:3/4 then the ratio A: B: C: D is:

Q41. If the sum of the diameters of two circles is 30 cm and the difference of their radii is 5 cm, then the ratio of area of the smaller circle to that of the bigger circle is:

Q5. 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.

Q48. Match List-I with List-II List-I (Expression) (A) 12! / (10!2!) (B) nC2 = 210, find n. (C) 6P3 - 5C2 (D) If nC8 = nC7, find nC15 List-II (Value) (I) 110 (II) 136 (III) 66 (IV) 21 Choose the corre

Point A (4, 2) divides segment BC in the ratio 2:5. Coordinates of B and C are (2,6), (9,y) respectively. Find the value of y.

Q59. Find the angle of elevation of the Sun, when the length of the shadow of a tree is 1/√3 times the height of tree.

Q52. The average of 12 numbers is 15 and the average of the first two numbers is 14. What is the average of the remaining numbers?

Q28. If the median of x/5, x/4, x/2 and x/3 (where x > 0) is 8, then the value of x will be

Q42. If the radius of a sphere is increased by 50%. then its surface area will increase by:

Q37. 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?

Q39. If area of a square is 44 cm², find the area of the circle formed by the same perimeter.