Question

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​

Answer 1

Answer:

(c) 17,47

Step-by-step explanation:

12+5=17,53-6=47

Answer 2

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.