What will come in the place of question (?) mark in following number series:…
2022
What will come in the place of question (?) mark in following number series:
24, 49, ?, 219, 388, 677
- A.
98
- B.
108
- C.
88
- D.
96
- E.
78
Attempted by 3 students.
Show answer & explanation
Correct answer: A
The differences follow squares of consecutive primes: 5^2, 7^2, 11^2, 13^2 and 17^2. Thus 24 + 25 = 49, and 49 + 49 = 98. Then 98 + 121 = 219, 219 + 169 = 388 and 388 + 289 = 677. Hence the missing term is 98.