What is the number of projects in which Gyani alone is involved?
Explanation:
Let a be the number of projects in which only Gyani is involved, g be the number of projects in which only Buddhi is involved and c be the number of projects in which only Medha is involved.
From the data, d = 6
b + d = 14
∴ b = 8
Also, e = 3 and f = 2
It is given that
a + g = b + c + d + f
∴ a − c + g = 16 … (i)
Number of projects involving more than 1 consultant = 6 + 8 + 2 + 3 = 19
∴ Total number of projects = 2 × 19 − 1 = 37
a + b + c + d + e + f + g = 2 × (b + d + e + f) − 1
∴ a + c + g = 19 − 1 = 18 … (ii)
Solving (i) and (ii), we get,
c = 1 and a + g = 17
∴ a cannot be determined uniquely.
Hence, option (d).
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