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 Om is the oldest of the group, then which of the following must be true?

Options

A. Ram was born in 1961.
B. Tinu was born in 1961.
C. Prem wasbomin 1962.
D. Som was bom in 1964.

Answer

A

Explanation

Summarise the information :
`PgtS`
`RgtT` and `RgtV`
O = T + 2
P = 62 or 63
Use a diagram to keep tarck of the logic :
`{:("60 61 62 63 64 65"),("O"):}`
Then T was born in 1962 and P in 1963 :
`{:("60 61 62 63 64 65"),("O T P"):}`
This means that R, who is older than T and V, was born in 1961 :
`{:("60 61 62 63 64 65"),("O R T P"):}`
S and V were born in 1964 and 1965, though not necessarily respectively.
So, only (1) is necessarily true.