Question

Complete the following series.
(GMSY, IOUA, KQWC, ?)

• A. MSYE
• B. NSYE
• C. MYTE
• D. MSYF

Hint:

Turn each letter into its alphabet position number and check how much each one increases from term to term.

Answer 1

The Correct Option is A

Assign each letter its place in the alphabet, where A is 1 and Z is 26, and check which answer choice keeps every position exactly 2 ahead of the matching letter in KQWC.

1. MSYE: $M=13$ is 2 ahead of $K=11$; $S=19$ is 2 ahead of $Q=17$; $Y=25$ is 2 ahead of $W=23$; $E=5$ is 2 ahead of $C=3$. Every letter is exactly 2 ahead, so this choice fits the rule perfectly.
2. NSYE: $N=14$ is 3 ahead of $K=11$, not 2, so the first letter breaks the pattern immediately.
3. MYTE: the second letter $Y=25$ should instead be 2 ahead of $Q=17$, which is $S=19$, not $Y$, so this fails at the second position.
4. MSYF: the last letter $F=6$, but 2 ahead of $C=3$ is $E=5$, not $F$, so this fails at the last position.

MSYE is the only choice where all four letters land exactly 2 positions after their counterparts in KQWC.

Let's summarize:

• Convert each letter to its number.
• Add 2 to each of K, Q, W, C.
• Convert the results back to letters.

This gives the correct completion of the series.

\[ \boxed{\text{MSYE}} \]