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From among the five doctors 1, 2, 3, 4 and 5; four engineers G, H, K and L and six teachers M, N, O, P, Q and R, some teams are to be selected. Of these 1, 2, G, H, O, P and Q are females and the rest are males. The formation of teams is subject to the following conditions : Wherever there is a male doctor, there will be no female teacher Wherever there is a male engineer, there will be no female doctor There shall not be more than two male teachers in any team
If the team consists of two doctors, three female teachers and two engineers, the members of the team are
34OPQGH
12OPQGH
34KLOPQ
45GHOPQ
Absolutely, let's break this down:
- Team required: 2 doctors, 3 female teachers, 2 engineers.
- Female teachers: O, P, Q
- Female engineers: G, H
- Female doctors: 1, 2
- Male doctors: 3, 4, 5
- Male engineers: K, L
Ground rules to follow:
- Any team with a male doctor can’t have a female teacher.
- Any team with a male engineer can’t have a female doctor.
- No team can have more than two male teachers (but this isn’t an issue since we need only female teachers in this question).
Now, let's check Option 1: 34OPQGH
- Doctors: 3, 4 (both males)
- Teachers: O, P, Q (all females)
- Engineers: G, H (both females)
But here’s the problem: if you have a male doctor (3 or 4), you cannot have any female teacher. This option has both, which violates the very first rule.
Let’s test Option 2: 12OPQGH
- Doctors: 1, 2 (females)
- Engineers: G, H (females)
This team fits. No male doctor (so female teachers are fine), no male engineer (so female doctors are fine). All checks out.
Option 3: 34KLOPQ
- Doctors: 3, 4 (male)
- Engineers: K, L (male)
- Teachers: O, P, Q (female)
You have male doctors with female teachers, violating rule 1. Not allowed.
Option 4: 45GHOPQ
- Doctors: 4, 5 (males)
- Teachers: O, P, Q (females)
Again, male doctors paired with female teachers—rule 1 broken.
So, the only choice that passes all the rules is Option 2.
Here’s what this really means—you have to be careful about that mix of male doctors and female teachers. That’s where the tripwire is.
Correct Answer: Option 2 (12OPQGH)
By: santosh ProfileResourcesReport error
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