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Question

Find the missing number.

456
544
645
1416?

This question was previously asked in
RRB NTPC 2019 CBT 1 Question Paper (8-Mar-2021) (Shift 2)
The correct answer is
19

Identify Pattern and Calculate Missing Number

The problem presents a sequence of digits: $4565446451416?$. To find the missing number, we need to identify the underlying pattern.

Step 1: Group Digits and Sum

Group the digits into sets of three from the beginning and calculate the sum of digits for each group:

  • Group 1: $456$ → Sum = $4 + 5 + 6 = 15$
  • Group 2: $544$ → Sum = $5 + 4 + 4 = 13$
  • Group 3: $645$ → Sum = $6 + 4 + 5 = 15$
  • Group 4: $141$ → Sum = $1 + 4 + 1 = 6$

After forming these groups, the remaining digit is $6$.

Step 2: Apply Final Calculation

The pattern involves using the last remaining digit ($6$) and adding it to the sum calculated from the second group ($13$).

  • Last remaining digit = $6$
  • Sum from the second group = $13$
  • Calculation: $6 + 13 = 19$

This result, $19$, represents the missing number.

Conclusion

The missing number in the sequence is 19.

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