Question:
Find the missing group in the sequence: X7D, V11G, T13J, ____________, P19P
Find the missing group in the sequence: X7D, V11G, T13J, ____________, P19P
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When solving letter-number sequences, analyze each component (letter, number, letter) independently to spot separate patterns.
Updated On: Aug 14, 2025
- Q15M
- R17M
- Q17L
- R15M
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The Correct Option is B
Solution and Explanation
We have a sequence:
\[
\text{X7D},\ \text{V11G},\ \text{T13J},\ ____________,\ \text{P19P}
\]
Step 1: Analyzing the first letter pattern
The first letters are: X, V, T, ?, P.
In the alphabet: X(24), V(22), T(20), ? , P(16).
We see that each step decreases by 2: \[ 24 \rightarrow 22 \rightarrow 20 \rightarrow 18 \rightarrow 16 \] The letter with position 18 is R. Step 2: Analyzing the number pattern
The numbers are: 7, 11, 13, ?, 19.
The differences are: \[ 7 \rightarrow 11 \ (+4),\quad 11 \rightarrow 13 \ (+2),\quad 13 \rightarrow ? ,\quad ? \rightarrow 19 \] To maintain the alternating pattern (+4, +2, +4, +2), we have: \[ 13 + 4 = 17 \] Step 3: Analyzing the last letter pattern
The last letters are: D, G, J, ?, P.
In alphabetical positions: D(4), G(7), J(10), ?, P(16).
Differences are consistently +3: \[ 4 \rightarrow 7 \ (+3),\quad 7 \rightarrow 10 \ (+3),\quad 10 \rightarrow 13 \ (+3) \] The 13th letter is M. Step 4: Combining all parts
First letter: R
Number: 17
Last letter: M
So, the missing group is R17M. \[ \boxed{\text{R17M}} \]
The first letters are: X, V, T, ?, P.
In the alphabet: X(24), V(22), T(20), ? , P(16).
We see that each step decreases by 2: \[ 24 \rightarrow 22 \rightarrow 20 \rightarrow 18 \rightarrow 16 \] The letter with position 18 is R. Step 2: Analyzing the number pattern
The numbers are: 7, 11, 13, ?, 19.
The differences are: \[ 7 \rightarrow 11 \ (+4),\quad 11 \rightarrow 13 \ (+2),\quad 13 \rightarrow ? ,\quad ? \rightarrow 19 \] To maintain the alternating pattern (+4, +2, +4, +2), we have: \[ 13 + 4 = 17 \] Step 3: Analyzing the last letter pattern
The last letters are: D, G, J, ?, P.
In alphabetical positions: D(4), G(7), J(10), ?, P(16).
Differences are consistently +3: \[ 4 \rightarrow 7 \ (+3),\quad 7 \rightarrow 10 \ (+3),\quad 10 \rightarrow 13 \ (+3) \] The 13th letter is M. Step 4: Combining all parts
First letter: R
Number: 17
Last letter: M
So, the missing group is R17M. \[ \boxed{\text{R17M}} \]
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