Question : Directions: Select the number from among the given options that can replace the question mark (?) in the following series.
1, 2, 4, 4, 9, 6, ?, 8, 25, 10
Option 1: 8
Option 2: 9
Option 3: 16
Option 4: 11
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Correct Answer: 16
Solution :
Given:
1, 2, 4, 4, 9, 6, ?, 8, 25, 10
In the above-given series, starting from the first number, every alternate number is the square of consecutive natural numbers, and every alternate number starting from the second is increased by 2.
(I)
1
, 2,
4
, 4,
9
, 6,
?
, 8,
25
, 10→(1)
2
= 1; (2)
2
= 4; (3)
2
= 9; (4)
2
= 16; (5)
2
= 25
(II) 1,
2
, 4,
4
, 9,
6
, ?,
8
, 25,
10
→2 + 2 = 4; 4 + 2 = 6; 6 + 2 = 8; 8 + 2 =10
So, the missing number is 16. Hence, the third option is correct.
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