Multiple choice general knowledge math & puzzles

Condition: (i) A, B, C, D, E, F and G are seven members standing in a row (not necessarily in the same order) facing north. (ii) C and B have as many members between them as G and C have between them. (iii) D, who is 3rd from the extreme left, is 3rd to the left of E. (iv) A and D are neighbors and F and C are neighbors. Question: What is the position of F?

  1. Immediate to the right of E.

  2. Third to the left of G

  3. Immediate to the left of C

  4. 5th to the right of B

  5. None of these

Reveal answer Fill a bubble to check yourself
E Correct answer
Explanation

Using the same conditions as 4128, we find that F's position depends on the specific valid arrangement. Multiple configurations satisfy all conditions where F can be in different positions relative to C, E, G, and B. Since F's position is not uniquely determined by the constraints, the answer 'None of these' is correct.

AI explanation

Working through the given constraints (relative gaps between C/B and G/C, D's fixed position three from the left and three left of E, and the A-D and F-C neighbor pairs) does not pin down a single definite seat for F consistent with all clues simultaneously — multiple arrangements satisfy the constraints without fixing F's exact position. That is why 'None of these' is the correct choice rather than any single specific position.