Question : Directions: In the following question, a series is given with one number missing. Select the missing number from the given alternatives.
1, 25, ?, 361, 841, 1681
Option 1: 169
Option 2: 225
Option 3: 161
Option 4: 121
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Correct Answer: 121
Solution :
Given:
1, 25, ?, 361, 841, 1681
Add the square root of the previous number to a consecutive even number starting from 4 and then square the resultant, to get the next number in the series –
(1)
2
= 1; (1 + 4)
2
= (5)
2
= 25; (5 + 6)
2
= (11)
2
= 121; (11 + 8)
2
= (19)
2
= 361; (19 + 10)
2
= (29)
2
= 841; (29 + 12)
2
= (41)
2
= 1681
So, the required number is 121. Hence, the fourth option is correct.
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