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Q.

Write the number that comes next in the pattern.

15, 15, 15, 14, 14, 13, 13, 13, 12, ___, ____.

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a

11,10

b

12, 12

c

11,11

d

12, 11 

answer is D.

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Detailed Solution

The number pattern provided is:

15, 15, 15, 14, 14, 13, 13, 13, 12, ___, ___

Understanding the Pattern

Let's break down the sequence to understand the logic behind it:

  • 15 appears 3 times
  • 14 appears 2 times
  • 13 appears 3 times
  • 12 appears 2 times

From this pattern, we can deduce that the number 15 appears 3 times, followed by 14 coming 2 times, and then 13 appears 3 times. Based on this observed structure, the next numbers in the sequence must follow this same alternating pattern of repeating numbers.

Conclusion

The next number should be 12, which should appear 2 times, followed by 11, which will appear 3 times.

Detailed Answer:

The number sequence can be written as:

15, 15, 15, 14, 14, 13, 13, 13, 12, 12, 11, 11, 11

This pattern follows the rule where:

  • 15 appears 3 times,
  • 14 appears 2 times,
  • 13 appears 3 times,
  • 12 appears 2 times,
  • 11 appears 3 times.

Thus, the next two numbers in the sequence are 12 followed by 11, following the established alternation of the pattern of 15 14 repeating in groups of 3 and 2 respectively.

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