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: Which of the following given two pairs of neighbors?

  1. A, C and D, C

  2. A, B and E, G

  3. D, C and E, F

  4. C, F and C, E

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

From condition (iii), D is at position 3 and E is at position 6. Since A and D are neighbors, A is at position 2. F and C are neighbors, and condition (ii) states that C and B have the same number of members between them as G and C, implying C is positioned such that distances are equal. Valid configurations exist where D and C are neighbors, and E and F are neighbors.