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Question

There are five trucks A, B, C, D and E having different colours, i.e. blue, green, orange, red and brown, not necessarily in that order. They are running on five different highways, i.e. H1, H2, H3, H4 and H5, not in the same order. A is on H4 and is not blue or brown. B is green and is not running on H3 or H5. C is blue and is not on H1. D is running on H1 and is not orange or brown. E is not running on H5 or H2. On which highway is E running?

This question was previously asked in
RRB NTPC 2019 CBT 1 Question Paper PDF (31-Jan-2021) (Shift 1)
The correct answer is
H3

Solving the Trucks Highways and Colors Logic Puzzle

This solution uses logical deduction to determine the highway for truck E based on the given constraints.

Deduction Table

Truck Highway Color
A H4 Orange
B H2 Green
C H5 Blue
D H1 Red
E H3 Brown

Step-by-Step Deduction

  • Initial Information: Five trucks (A-E), five colors (Blue, Green, Orange, Red, Brown), five highways (H1-H5).
  • Direct Assignments & Constraints:
    • A is on H4; Color is not Blue or Brown.
    • B is Green; Highway is not H3 or H5.
    • C is Blue; Highway is not H1.
    • D is on H1; Color is not Orange or Brown.
    • E's Highway is not H5 or H2.
  • Highway Deductions:
    • Highways H1 and H4 are assigned to D and A respectively.
    • B (Green) cannot be on H3 or H5. Since H1 (D) and H4 (A) are taken, B must be on H2.
    • E cannot be on H5 or H2. Since H1 (D) and H4 (A) are taken, and H2 is now taken by B, E's possible highways are H3 or H5. Given E cannot be on H5, the only remaining option for E is H3.
  • Color Deductions (for completeness):
    • Known colors: Green (B), Blue (C).
    • D (H1) is not Orange or Brown. Possible remaining colors: Red, Brown. D must be Red.
    • A (H4) is not Blue or Brown. Possible remaining colors: Orange, Brown. Since D is Red, A cannot be Brown. A must be Orange.
    • The remaining color is Brown, which belongs to E.
    • The remaining highway for C (Blue) is H5.

Conclusion

Based on the deductions, Truck E is running on highway H3.

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