Question

If there are 3 alphabets in the English series between the alphabets written against numbers 10 and 22, then how many alphabets are there between the alphabets written against numbers 18 and 22? 

• A. Three
• B. Five
• C. One
• D. Four

Hint:

“$k$ alphabets between” two letters means a gap of $k+1$ in positions. Use $A=1,\dots,Z=26$ for quick checks.

Answer 1

The Correct Option is C

From Q42 setup: $10\!\to\!P$, $18\!\to\!N$. “Three alphabets between 10 and 22” means the letter at 22 is 4 positions away from $P$ (16th), so it must be \(L\) (12th) or \(T\) (20th). Since \(T\) is already at 14, choose \(22\!\to\!L\). Between \(N\) (14th) and \(L\) (12th) lies only \(M\). Hence the required count is \(\boxed{1}\). 

Answer 2

From the earlier part of this arrangement, position 10 holds P (the 16th letter) and position 18 holds N (the 14th letter). We are told that 3 letters of the alphabet lie between the letters at positions 10 and 22, and we must find how many lie between the letters at positions 18 and 22.

1. Option A (Three): If 3 letters were also to lie between N (14th) and the letter at 22, that letter would have to sit at the 18th or 10th place. Checking against the "3 letters between P (16th) and it" condition (which forces it to the 12th or 20th place), no letter satisfies both requirements at once, so this option fails.
2. Option B (Five): This would require the letter at 22 to be 6 places from N, i.e. at the 8th or 20th place. Combined with the P-based condition (12th or 20th place), the only common value is the 20th letter, T — but T is already fixed elsewhere in this arrangement, so this option does not hold.
3. Option C (One): This requires the letter at 22 to sit at the 12th or 16th place relative to N; combined with the P-based condition, the 12th letter, L, satisfies both simultaneously (since T at the 20th place is already taken).
4. Option D (Four): This would need the letter at 22 to be 5 places from N, at the 9th or 19th place; this does not agree with the P-based condition at all.

So the letter at position 22 must be L (12th letter). Writing out the alphabet strip J-K-L-M-N, only M sits strictly between L and N.

Hence, the correct answer is One.