JMI 11th Science Entrance Paper 2022 Answer Key

31. ABC is an isosceles triangle right-angled at C. The side AB is equal to:

Ans (a) AC * sqrt(2)

32. Five years ago, A was thrice as old as B and ten years later A shall be twice as old as B, then the present age of A is:

Ans (b) 50

33. If the mean of frequency distribution is 7.5 and Sigma*f_{k}*x_{j} = 120 + 3k and Sigma*f_{i} = 3c , then k is equal to:

Ans (b) 35

34. In a cylinder, if the radius is doubled and the height is halved then the curved surface area will be:

Ans (c) same

35. Two dice are rolled together. The probability of getting an even number on both the dice is.

Ans (c) 1/4

36. In the given figure, O is the centre of the circle. The area of the sector APB is 5/18 * of the area of the circle. The value of x is:

Ans (d) 100°

37. The maximum volume of a cone that can be carved out of a solid of radius “r” is:

Ans (b) (pi * r ^ 3)/3

38. If*alpha, beta are the roots of the quadratic equation x^ 2 -P(x+1)+C=0. then( alpha+1)( beta+1)=?

Ans (d) 1+C

39. If the numbers a, b, c, d, e form an AP, then the value of a – 4b + 6c – 4d + e is

Ans (c) 0

40. All squares are________

Ans (b) similar

41. Line formed by joining (- 1, 1) * and(5, 7) is divided by a line x+ y = 4 in the ratio of:

Ans (c) 1:2

42. The ratio of the length of a rod and its shadow is 1 / (sqrt(3)) . The angle of elevation of the sun is:

Ans (a) 30 degrees

43. A circle is inscribed in a quadrilateral ABCD in which angle B=90 degrees. If AD = 23cm43.AB = 29 cm and DS = 5cm then the radius of the circle is:

Ans (b) 11

44. If P( a 3 A) is the midpoint of the line segment joining the points 2(- 6, 5) and then the value of “a” is:P(- 2, 3)

Ans (b) -12

45. If x = 1 is a common root of the equations a * x ^ 2 + ax + 3 = 0 and x ^ 2 + x + b = 0 then ab=?

Ans (b) 3