Question:medium

Fill in the blank:
Q4RT, ______, QRT6, QR7T, Q8RT

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For alphanumeric series, track both the number progression and the position pattern of the number within the letters.
Updated On: Jul 15, 2026
  • QTR7
  • QR5T
  • RQ9T
  • TRQ6
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The Correct Option is B

Approach Solution - 1

Step 1: Track the letters.
In every term the letters stay in the fixed order Q, R, T; only a digit is inserted somewhere among them, so the missing term must also use Q, R, T in that order.

Step 2: Track the digit value.
The digits given are 4, 6, 7, 8 in terms 1, 3, 4, 5. They rise by 1 each term, so the missing second term must carry the digit 5.

Step 3: Track the digit's position.
In term 1 (Q4RT) the digit sits between Q and R. In term 3 (QRT6) it sits after T. In term 4 (QR7T) it sits between R and T. In term 5 (Q8RT) it sits between Q and R again. The position slides out and back: between Q-R, then between R-T, then after T, then between R-T, then between Q-R, so the missing term's digit belongs between R and T.

Step 4: Combine.
Placing 5 between R and T while keeping the letters as Q, R, T gives QR5T.
\[ \boxed{\text{QR5T}} \]
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Approach Solution -2

Step 1: Notice the symmetry of the series.
There are five terms, with the third term sitting in the middle. Comparing the outermost pair, term 1 (Q4RT) and term 5 (Q8RT), both place their digit between Q and R, which suggests the series is built symmetrically around the middle term.

Step 2: Use the symmetry to pair term 2 with term 4.
If the series is symmetric about the middle term, term 2 should mirror term 4 in terms of where the digit sits. Term 4 (QR7T) places its digit between R and T, so by this mirroring, term 2 must also place its digit between R and T.

Step 3: Find the digit for term 2.
The digits across the terms rise by 1 each time: 4 (term 1), then term 2, then 6 (term 3), 7 (term 4), 8 (term 5). Since the digit must go 4, then increase by 1 to reach 6 two terms later, term 2's digit is 5.

Step 4: Final Answer:
Placing 5 between R and T while keeping the letters in the fixed order Q, R, T gives QR5T.
\[ \boxed{\text{QR5T}} \]
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