Find the missing numbers in the series. 2, 65, 7, 59, 12, 53, ?, ?
(a) 15, 42 (b) 17, 45 (c) 17, 47 (d) 18, 48
Answers
Answer:
(c) 17,47
Step-by-step explanation:
12+5=17,53-6=47
Given:
A series of numbers 2, 65, 7, 59, 12, 53, ?, ?.
To Find:
The number replacing the question marks.
Solution:
The given problem can be solved by developing a common logic between every term.
1. The given series is 2, 65, 7, 59, 12, 53,
2. Consider the odd positioned terms of the series,
=> The third term in the series is obtained as,
=> Third term = First term + 5,
=> Third term = 2 + 5 = 7
3. The fifth term in the series is obtained as,
=> Fifth term = Third term + 5,
=> Fifth term = 7 + 5 = 12.
4. The seventh term of the series can be found using the same pattern,
=> Seventh term = Fifth term + 5,
=> Seventh term = 12 + 5,
=> Seventh term = 17.
5. Consider the even positioned terms in the given series,
=> The fourth term is obtained as,
=> Fourth term = Second term - 6,
=> Fourth term = 65 - 6 = 59.
6. The sixth term in the series is obtained as,
=> Sixth term = Fourth term - 6,
=> Sixth term = 59 - 6 = 53.
6. The eighth term in the series can be determined using the same logic,
=> Eighth term = Sixth term - 6,
=> Eighth term = 53 - 6 = 47.
Hence, the two missing terms are 17 and 47 respectively. Option C is the correct answer.