Question:
Fill in the blank:
Q4RT, ______, QRT6, QR7T, Q8RT
Fill in the blank:
Q4RT, ______, QRT6, QR7T, Q8RT
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
Observation: The digit increases by 1: 4, 5, 6, 7, 8. Simultaneously its position cycles through the slots in the string Q R T:
1st term — after Q: Q4RT
2nd term — after R: QR5T
3rd term — after T: QRT6
4th term — before T: QR7T
5th term — after Q again: Q8RT
Therefore the missing term is QR5T.
1st term — after Q: Q4RT
2nd term — after R: QR5T
3rd term — after T: QRT6
4th term — before T: QR7T
5th term — after Q again: Q8RT
Therefore the missing term is QR5T.
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Approach Solution -2
The series keeps the three letters Q, R, T in that fixed order in every term and slides a single digit to a different gap between them each time, while the digit itself climbs by one each term (4, then the missing term, then 6, 7, 8). Mapping out the digit's position: in the first term Q4RT, the digit sits between Q and R; in the third term QRT6, it sits after T; in the fourth term QR7T, it sits between R and T; in the fifth term Q8RT, it sits between Q and R again. The position moves out to the end and then back in, like a triangle: between Q-R, then between R-T, then after T, then between R-T again, then between Q-R again. That means the missing second term must place its digit, 5, between R and T, giving QR5T.
- QTR7: This rearranges the letters themselves (T and R swap order), but the base letters must always read Q, R, T in that fixed order. It also uses the wrong digit for this position in the sequence.
- QR5T: This keeps the letters in the correct order Q, R, T, and places the digit 5 (continuing 4, 5, 6, 7, 8) between R and T, exactly where the position pattern requires for the second term.
- RQ9T: This swaps Q and R and uses 9, which does not continue the digit sequence 4, 5, 6, 7, 8 at all, and it belongs after the fifth term, not the second.
- TRQ6: This scrambles the letters into a completely different order and reuses the digit 6, which is already the digit for the third term, not the second.
Keeping Q, R, T in order and following the digit's back-and-forth sliding position confirms the missing term is QR5T.
Therefore, the correct answer is QR5T.
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Approach Solution -3
Each term can be seen as the fixed letters Q, R, T with one digit inserted at one of four possible slots: before Q (slot 1), between Q and R (slot 2), between R and T (slot 3), or after T (slot 4). Assigning a slot number to each known term, Q4RT places its digit at slot 2, QRT6 places its digit at slot 4, QR7T places its digit at slot 3, and Q8RT places its digit at slot 2 again. So the slot numbers for terms 1, 3, 4, 5 are 2, 4, 3, 2. Reading this as its own numeric sequence, it rises from 2 up to 4 and then falls back down to 2, moving by exactly one slot per term: term 1 is slot 2, so term 2 should be slot 3 (one step up), term 3 is slot 4 (another step up), term 4 is slot 3 (one step down), and term 5 is slot 2 (another step down). This fixes the missing term's slot at 3, between R and T. Meanwhile the digit itself simply counts up by one each term: 4, 5, 6, 7, 8, so the missing term's digit is 5. Placing 5 at slot 3 in Q_R_T gives QR5T.
- QTR7: This does not even preserve the fixed letter order Q, R, T, swapping T and R, and uses 7, which is already the digit for term 4, not term 2.
- QR5T: This keeps Q, R, T in their fixed order, uses digit 5, continuing 4, 5, 6, 7, 8, and places it at slot 3 (between R and T), exactly matching the slot-number sequence 2, 3, 4, 3, 2 worked out above.
- RQ9T: This scrambles the base letters into R, Q, T and uses 9, a digit that does not belong anywhere in the sequence 4, 5, 6, 7, 8.
- TRQ6: This rearranges the letters entirely and reuses 6, which is already term 3's digit, not term 2's.
Treating the insertion point as its own numeric sequence, 2, 3, 4, 3, 2, confirms the missing term's digit sits at slot 3, giving QR5T.
Therefore, the correct answer is QR5T.
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