Question

A, B, C, D, E, F and G are travelling in three different vehicles. There are at least two passenger in each vehicle- Maruti, Santro, Opel and only one of them is a male. There are two engineers, two doctors and three teachers among them.

(i) C is lady doctor and she does not travel with the pair of sisters, A and F.

(ii) B, a male engineer, travels with only G, a teacher in Maruti

(iii) D is a male doctor

(iv) Two persons belonging to the same profession do not travel in the same vehicle.

(v) A is not an engineer and travels in Santro.
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How many lady members are there among them?

• A. Three
• B. Four
• C. Three or four
• D. Data inadequate
• E. Data inadequate

Answer 1

The correct option is B Four

(b)
There are three vehicles
Maruti, Santro & Opel

There are two engineers, two doctors and three teachers among them

So 2 Engg 2 Doc 3 Tea

$\bullet$ C is lady doctor and does not travel with the pair of sisters, A & F

$\underset{–}{C}\to Doc$

$C\to AF$

$\bullet$ B is a male engineer and travels only with G a teacher in Maruti,
so G must be female also

$\underset{–}{G}\to Tea$
$C\to Engg$
$B\underset{–}{G}\to Maruti$

$\bullet$ D is male doctor
$D\to Doc$

$\bullet$ A is not an engineer and travels in Santro so
$\underset{–}{A}\underset{–}{E}\to Santro$

Obviously C is travelling in Opel.

C and D are doctors and can't travel in same vehicle, so D must travel in Santro. Now we will get following table.

$VehiclePersonProfessionMarutiBEnggGTeaSantroATeaFEnggDDocOpelCDocETea$