Question
If the sum of runs scored by M and N is 88 and the sum
of runs scored by N and P is 66, then what is the probable number of runs scored by L? Answer the questions based on the information given below. Seven cricketers (J, K, L, M, N, O and P) scored different numbers of runs in a match. M scored more runs than N but less than K. J scored more runs than P but less than O. L doesn’t score lowest number of runs but less than N. N doesn’t scored 4th highest number of runs. O scored more runs than N but less than M. Cricketer, who scored 2nd highest number of runs, scored 65 runs.Solution
M + N = 88
52 + N = 88
N = 88 – 52 = 36.
N + P = 66
36 + P = 66
P = 66 – 36 = 30.
L will scored number of runs between 30 and 36.
M scored more runs than N but less than K. L doesn’t score lowest number of runs but less than N. N doesn’t scored 4th highest number of runs.
K > M > N > L
J scored more runs than P but less than O. O scored more runs than N but less than M. Cricketer, who scored 2nd highest number of runs, scored 52 runs.
K > M (65) > O > N > J > L > P
The final arrangement is as follow:
K > M (65) > O > J > N > L > P
Two chords AB and CD of a circle intersect at E such that AE = 3.4 cm, BE = 4.2 cm and CE = 2.6 cm. What is the approximate length of DE?
A circular racing track has been developed in a field. If the difference between the outer circumference and the inner circumference of the racing track...
One chord of a circle is given as 18.5 cm. Then the radius (r) of the circle must be:
From an external point P, two tangents PA and PB are drawn to a circle with centre O and radius 5 cm. The angle ∠APB is 60°. Find OP and PA.
- The circumference of the circle is 110 cm while the length of the rectangle is 6 cm more than the radius of the circle. Find the perimeter of the rectangle...
- AB is the diameter of a circle centered at O. A tangent drawn at point C intersects the extension of AB at point D. If ∠CAB = 38°, find the value of ∠...
A semicircle has a radius of 7 cm. What is the perimeter of the semicircle?
- A rhombus has an area of 2,592 cm² and its diagonals are in the ratio 5:3. A circle is drawn with the shorter diagonal of the rhombus as its diameter. Cal...
- A square has an area of 2,500 cm². Find the area of a circle whose radius is (2/5)ᵗʰ of the length of the square’s side. (Take π = 3.14)
In a triangle, PT is tangent and PAB is secant which cuts on a circle at points A & B. If PT= 12 cm, PA= 8 cm then find the legth of AB.