Question:
Find the missing term in the following series:
\[
6F : 18R :: 8H : \ \_\_\_
\]
Find the missing term in the following series:
\[ 6F : 18R :: 8H : \ \_\_\_ \]
\[ 6F : 18R :: 8H : \ \_\_\_ \]
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In mixed analogy, check if both number and letter follow the same mathematical operation.
Updated On: Apr 21, 2026
- 21T
- 22V
- 22S
- 24X
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The Correct Option is D
Solution and Explanation
Concept:
In analogy, observe patterns separately for numbers and letters.
Step 1: Analyze numbers.
\[ 6 \rightarrow 18 \quad (\times 3) \] Apply same: \[ 8 \times 3 = 24 \]
Step 2: Analyze letters.
F → R
Positions: \[ F(6) \rightarrow R(18) = +12 \] Apply same: \[ H(8) + 12 = 20 \Rightarrow T \] But observe better pattern: \[ 6F \rightarrow 18R \] Number becomes 3 times, and letter position also becomes 3 times: \[ F(6) \times 3 = 18 \Rightarrow R \] Apply: \[ H(8) \times 3 = 24 \Rightarrow X \]
Step 3: Final answer.
\[ 24X \]
Hence, the missing term is 24X.
Step 1: Analyze numbers.
\[ 6 \rightarrow 18 \quad (\times 3) \] Apply same: \[ 8 \times 3 = 24 \]
Step 2: Analyze letters.
F → R
Positions: \[ F(6) \rightarrow R(18) = +12 \] Apply same: \[ H(8) + 12 = 20 \Rightarrow T \] But observe better pattern: \[ 6F \rightarrow 18R \] Number becomes 3 times, and letter position also becomes 3 times: \[ F(6) \times 3 = 18 \Rightarrow R \] Apply: \[ H(8) \times 3 = 24 \Rightarrow X \]
Step 3: Final answer.
\[ 24X \]
Hence, the missing term is 24X.
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