Directions: Read the following information to answer the question.
Directions: Read the following information to answer the question.
Let the number men and women be M and W respectively.
The number of games played by men among themselves = M × (M – 1)
M x (M – 1) – 4M = 66
M2 – 5M – 66 = 0
(M – 11) (M – 6) = 0
∴ M = 11
The total number of participants = 11
Directions: Read the following information to answer the question.
Directions: Read the following information to answer the question.
Since x, y ,and z are in G.P. and x<y<z, let x = a, y=ar and z=ar2, where a>0 and r>1.
It is also given that, 15x, 16y and 12z are in A.P.
Therefore, 2×16y=5x+12z
Substituting the values of x, y and z we get,
32ar = 5a +12ar2
On solving the above quadratic equation we get r=1/6 or 5/2.
Since r>1, therefore r=5/2.
Directions: Read the following information to answer the question.
