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 Prem was bom in 1962, then which of the following must also be true?

Options

A. Ram was born in 1960.
B. Om was born in 1961.
C. Som was bom in 1963.
D. Viju was born in 1963.

Answer

A

Explanation

Summarise the information :
`PgtS`
`RgtT` and `RgtV`
O = T + 2
P = 62 or 63
Here, you will probably want to use a diagram :
`{:("60 61 62 63 64 65"),(" P"):}`
Since P was born in 1962, there are only two possible places on the diagram for O and T.
`{:("60 61 62 63 64 65"),(" O P T"),(" P O T "):}`
As for the first possibility, R (who is older than T) was born in 1960, with V and S born in 1964 and 1965, though not necessarily respectively : `{:("60 61 62 63 64 65"),("R O P T S/V S/V"):}`
As for the second possibility, S (who is younger than P) was born in 1964, and R and V were born in 1960 and 1961, respectively :
`{:("60 61 62 63 64 65"),("R V P T S T "):}`
Under either secenario, Ram was born in !960.