Question
What should come in place of the question mark (?) in the given series?
89 87 84 79 72 ?
The correct answer is
61
Number Series Pattern Analysis
We need to find the missing term in the series: 89, 87, 84, 79, 72, ?
Let's examine the differences between consecutive terms:
- \(89 - 87 = 2\)
- \(87 - 84 = 3\)
- \(84 - 79 = 5\)
- \(79 - 72 = 7\)
The differences are 2, 3, 5, and 7. This sequence represents the first few prime numbers.
The pattern is that we subtract consecutive prime numbers from the terms.
Calculating the Missing Term
The next prime number after 7 is 11.
Therefore, we need to subtract 11 from the last term of the series (72) to find the missing term.
Calculation: \(72 - 11 = 61\)
Thus, the number that should come in place of the question mark is 61.
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Important Questions from Number Series (Notes)
- What will come in place of question mark (?) in the following series:
$12, 6, 6, 9, 18, ?$ - In the following question, select the missing number from the given series:
$2, 5, 17, 71, ?, 2159$ - Which number will come next in the series:
8, 4, 4, 6, 12, ? - One term in the given number series is wrong. Find out the wrong term.
3,10,27,4,16,64,5,25,125 - What should come in place of the question mark (?) in the given series?
$15 \ 22 \ 33 \ 50 \ 71 \ 98 \ ?$
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