If every alternate letter of English Alphabet is written in lower case

If every alternate letter of English Alphabet is written in lower case (small letters) such that the 21st letter is in capital letter and remaining letters are capitalized, then how many vowels will be written in capital letters ?

5
4
3
2
This question was previously asked in
UPSC CAPF – 2014
The correct answer is 5.
Let’s list the letters of the English alphabet and their positions:
A(1) B(2) C(3) D(4) E(5) F(6) G(7) H(8) I(9) J(10) K(11) L(12) M(13) N(14) O(15) P(16) Q(17) R(18) S(19) T(20) U(21) V(22) W(23) X(24) Y(25) Z(26).

Rules:
1. Every alternate letter is in lower case. Starting with B (position 2), the letters at even positions (2, 4, 6, …, 26) are in lower case.
2. The 21st letter (U) is in capital letter.
3. Remaining letters are capitalized. The remaining letters are at odd positions (1, 3, 5, …, 25), *except* the 21st one which is specifically mentioned as capital.

Let’s apply the rules to the vowels (A, E, I, O, U):
– A is at position 1 (odd). It is not an alternate letter starting from B. It is one of the “remaining letters”. Rule 3 applies. Case: Capital.
– E is at position 5 (odd). It is not an alternate letter starting from B. It is one of the “remaining letters”. Rule 3 applies. Case: Capital.
– I is at position 9 (odd). It is not an alternate letter starting from B. It is one of the “remaining letters”. Rule 3 applies. Case: Capital.
– O is at position 15 (odd). It is not an alternate letter starting from B. It is one of the “remaining letters”. Rule 3 applies. Case: Capital.
– U is at position 21. Rule 2 specifically states it is in capital letter. Case: Capital.

All 5 vowels (A, E, I, O, U) are written in capital letters.

The final casing of the alphabet according to the rules is:
A b C d E f G h I j K l M n O p Q r S t U v W x Y z
Vowels: A, E, I, O, U are all in capital case.