Multiple choice general knowledge math & puzzles

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 statements is true?

  1. C and E are neighbors

  2. E is to the immediate left of F

  3. C is to the immediate left of D

  4. A is to the immediate left of D
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

To solve this question, the user needs to carefully read and analyze the given statements to determine the correct option.

(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.

Statement (ii) implies that C is at the center of the row. Statement (iii) implies that E is at the rightmost end of the row. So, the seating arrangement is as follows:

__ __ __ D A __ C F G E
1  2  3  4 5  6 7 8 9

Using the above arrangement, we can evaluate the given options.

A. C and E are neighbors - This option is incorrect because C and E are not neighbors. G is between them.

B. E is to the immediate left of F - This option is incorrect because E is not to the immediate left of F. C is between them.

C. C is to the immediate left of D - This option is incorrect because C is not to the immediate left of D. A is between them.

D. A is to the immediate left of D - This option is correct. According to the given arrangement, A is to the immediate left of D.

Therefore, The Answer is: D. A is to the immediate left of D.

AI explanation

Working the clues: D is 3rd from the left, and D is 3rd to the left of E, so E is at position 6. A must be adjacent to D (position 2 or 4), and F must be adjacent to C. Testing A at position 4 leaves no arrangement of the remaining letters that satisfies clue (ii) — that C-B and G-C have equal numbers of people between them. Only A at position 2 works, with C and F forced into positions 4 and 5 to satisfy clue (ii). That places A at position 2 and D at position 3, i.e., A is immediately to the left of D — matching option (d). The other options (C-E neighbors, E immediately left of F, C immediately left of D) all fail under the only valid arrangement.

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