Question:medium

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

Updated On: Jul 15, 2026
  • QTR7
  • QR5T
  • RQ9T
  • TRQ6
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The Correct Option is B

Approach Solution - 1

Step 1: Separate the pattern into two parts, the fixed letters Q, R, T always in this order, and one digit inserted among them.

Step 2: Track the digit values across the series: 4, ?, 6, 7, 8, these increase by 1 each time, so the missing digit is 5.

Step 3: Track where the digit sits: position 2 (Q4RT), position 4 (QRT6), position 3 (QR7T), position 2 (Q8RT), the position moves 2, 3, 4, 3, 2, so the missing second term needs the digit at position 3.

Step 4: Insert 5 at position 3 among Q, R, T to get QR5T.
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Approach Solution -2

Instead of deriving the missing term from a general pattern, each option can be checked against two separate, already-known facts: the digit inserted in term 2 must be 5, since the known digits 4, 6, 7, 8 in terms 1, 3, 4, 5 increase by exactly 1 per term; and that digit must sit at position 3 among the four characters, since the known positions 2, 4, 3, 2 need a symmetric middle value of 3 at term 2 to keep the sequence 2, 3, 4, 3, 2 balanced. Every option can now be tested against these two facts together with the fixed Q, R, T letter order:

  1. Option A (QTR7): fails the digit check, its digit is 7 not 5, and also breaks the fixed letter order by writing T before R.
  2. Option B (QR5T): passes both checks at once, its digit is 5, that digit sits at position 3, and the letters stay in the required Q, R, T order.
  3. Option C (RQ9T): fails both checks, its digit is 9 not 5, and it also starts with R instead of Q, breaking the fixed letter order.
  4. Option D (TRQ6): fails the digit check, its digit 6 belongs to term 3 not term 2, and it scrambles the letter order to T, R, Q.

Only option B clears both the digit-value check and the digit-position check while keeping the letters in order.

Therefore, the correct answer is QR5T.

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