Question
A, B, C, D, E, F and G are the names of two teenage girls, two infants and three old men. B, F and E are not old men. A, F and C are not teenage girls. G is an old man while D is an infant.
Which of the following are two teenage girls?
This question was previously asked in
RRB NTPC 2019 CBT 1 Question Paper (8-Mar-2021) (Shift 2)
The correct answer is
B and E
Logic Puzzle Solution: Identifying Teenage Girls
This solution provides a step-by-step deduction to identify the two teenage girls based on the given clues.
Analyzing the Clues and Constraints
- Total People: 7 individuals (A, B, C, D, E, F, G).
- Category Counts: 2 Teenage Girls (TG), 2 Infants (I), 3 Old Men (OM).
- Negative Constraints:
- B, F, E are not Old Men (B, F, E ≠ OM).
- A, F, C are not Teenage Girls (A, F, C ≠ TG).
- Positive Constraints:
- G is an Old Man (G = OM).
- D is an Infant (D = I).
Step-by-Step Deductions
- Known Assignments: We know G = OM and D = I.
- Determining F: From Clue 1, F ≠ OM. From Clue 2, F ≠ TG. Since the only categories are TG, I, and OM, F must be an Infant (F = I). We now have two Infants: D and F.
- Determining B and E: From Clue 1, B ≠ OM and E ≠ OM. Since the Infant slots are filled by D and F, B and E must belong to the remaining categories. As they are not OM, they must be the Teenage Girls (B = TG, E = TG).
- Completing Categories: The Teenage Girls are B and E. The Infants are D and F. The Old Men category requires 3 people. We know G = OM. The remaining people are A and C. Clue 2 states A ≠ TG and C ≠ TG. Since the TG and I slots are full, A and C must be Old Men (A = OM, C = OM).
Final Classification Summary
The deduced classification is:
| Category | Individuals |
| Teenage Girls (2) | B, E |
| Infants (2) | D, F |
| Old Men (3) | A, C, G |
Identifying the Teenage Girls
Based on the deductions, the two individuals who are teenage girls are B and E.
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