CUET Questions — Mathematics
104 solved questions with detailed explanations
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.