Six people, Prem, Ram, Som, Tinu, Viju and Om were all born on the same day of the year, but each was born in a different vest during a single six-year period.
i) Prem is older than Som.
ii) Ram is older than both Tinu and Viju.
iii) Om is two years older than Tinu,
iv) Prem was bom either in 1962 or in 1963.
v) The oldest member of the group was born in 1960.
If Viju is older than Tinu, which of the following must be true ?
I. Ram was born in 1960.
II. VIju was born in 1961.
Prem was born in 1963.

Options

A. I only
B. II only
C. I and II only
D. I and III only

Answer

C

Explanation

Summarise the information :
`PgtS`
`RgtT` and `RgtV`
O = T + 2
P = 62 or 63
If V is older then T, then r, V and O are all older than T, which means that T could not have been born before 1963. T could only have been born in 1964 or 1965 :

Thus, statements I and II necessarily true, while III is only possibly true.