Question

In the following question, various terms of an alphabet series are given with one term missing as shown by (?). Choose the missing terms out of the given alternatives. \[ M,\ N,\ O,\ L,\ R,\ I,\ V,\ ? \]

• A. A
• B. E
• C. F
• D. H

Hint:

Convert letters to numbers to easily detect patterns. Look for alternating signs, increasing differences, or grouped operations.

Answer 1

The Correct Option is B

Concept: In alphabet series, each letter corresponds to its position in the English alphabet: \[ A=1,\ B=2,\ \ldots,\ Z=26 \] We analyze the pattern by converting letters into numbers and then studying differences.

Step 1: Convert letters into numerical positions. \[ M=13,\ N=14,\ O=15,\ L=12,\ R=18,\ I=9,\ V=22 \] So the series becomes: \[ 13,\ 14,\ 15,\ 12,\ 18,\ 9,\ 22,\ ? \]

Step 2: Find the pattern in differences. \[ 14 - 13 = +1 \] \[ 15 - 14 = +1 \] \[ 12 - 15 = -3 \] \[ 18 - 12 = +6 \] \[ 9 - 18 = -9 \] \[ 22 - 9 = +13 \] So pattern is: \[ +1,\ +1,\ -3,\ +6,\ -9,\ +13 \]

Step 3: Observe the pattern carefully. From \(-3,\ +6,\ -9,\ +13\), we see alternating signs and increasing magnitude: \[ 3,\ 6,\ 9,\ 13 \] Differences are increasing roughly by +3, +3, +4. So next difference will be approximately: \[ -17 \]

Step 4: Find the missing term. \[ 22 - 17 = 5 \] Now convert back: \[ 5 = E \]

Step 5: Final answer. \[ \boxed{E} \]