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Texas Instruments Aptitude Series Completion Easy

Find out the missing term in the series:

Texas Instruments aptitude question, verified with a worked answer. Free to practise - no sign-up.

Find out the missing term in the series:

$$\text{D8T, G16P, J32L, ( ? ), P128D}$$

Choose one option.
Show answer & explanation
Answer: A. M64H

Break each term down into its three constituent components (First Letter, Number, Last Letter):

  1. First Letter Sequence:
    $$\text{D (4)} \xrightarrow{+3} \text{G (7)} \xrightarrow{+3} \text{J (10)} \xrightarrow{+3} \mathbf{M (13)} \xrightarrow{+3} \text{P (16)}$$
    The first letter advances by $+3$ positions in the alphabet, giving M.

  2. Numeric Sequence:
    $$8 \xrightarrow{\times 2} 16 \xrightarrow{\times 2} 32 \xrightarrow{\times 2} \mathbf{64} \xrightarrow{\times 2} 128$$
    Each number is doubled (multiplied by $2$), giving 64.

  3. Last Letter Sequence:
    $$\text{T (20)} \xrightarrow{-4} \text{P (16)} \xrightarrow{-4} \text{L (12)} \xrightarrow{-4} \mathbf{H (8)} \xrightarrow{-4} \text{D (4)}$$
    The last letter decreases by $-4$ positions in the alphabet, giving H.

Combining all three elements yields the missing term: M64H.

Thus, the correct option is A.