QUESTION

CSAT

Easy

Reasoning

Prelims 2019

What is X in the sequence 132, 129, 124, 117, 106, 93, XX?

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Explanation

Identify the differences between consecutive terms: 132 to 129: Difference = 33 129 to 124: Difference = 55 124 to 117: Difference = 77 117 to 106: Difference = 1111 106 to 93: Difference = 1313

Recognize the pattern in the differences:

  • The differences are consecutive prime numbers: 33, 55, 77, 1111, and 1313.

Predict the next difference: -The next prime number after 13 is 17.

Calculate the next term in the sequence:

  • 93 (the last known term) minus 17 (the next prime number) equals 76.

Therefore, the value of 'X' is 76.

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