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

Step 1: Split each term into its four letter positions.
Position 1 across the terms is G, I, K. Position 2 is M, O, Q. Position 3 is S, U, W. Position 4 is Y, A, C.

Step 2: Find the jump in position 1.
G to I is a gain of 2 letters, since \( G=7, I=9 \), and I to K is again 2 letters, since \( I=9, K=11 \). So position 1 rises by 2 each time, giving \( K+2=M \) for the next term.

Step 3: Find the jump in position 2.
M to O is plus 2, and O to Q is plus 2, so \( Q+2=S \) is next.

Step 4: Find the jump in position 3.
S to U is plus 2, and U to W is plus 2, giving \( W+2=Y \) next.

Step 5: Find the jump in position 4.
Y to A wraps around the alphabet, since \( Y=25 \) and adding 2 cycles past Z back to \( A=1 \), and A to C is plus 2, so \( C+2=E \) is next.

Final Answer:
Combining all four positions gives M, S, Y, E. \[ \boxed{\text{MSYE}} \]