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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