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6,9, ,sqrt117, 3, 5, sqrt34, 15,20,25, 1...

6,9, ,`sqrt117`, 3, 5, `sqrt34`, 15,20,25, 12, 16, 20, 6, 8, ?, 11, 15, `sqrt346`

A

`sqrt105`

B

10

C

`sqrt126`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
B
The given sequence of number follows the pattern :
Pythagoras triads i.e. `6^(2)+9^(2)=(sqrt117)^(2)`
`3^(2)+5^(2)+(sqrt34)^(2),15^(2)+20^(2)=(25)^(2),12^(2)+16^(2)=(20)^(2),`
`6^(2)+8^(2)=(10)^(2),11^(2)+15^(2)=(sqrt346)^(2)`
[Note: Pythagoras theorem: (Largest number`]^(2)` = Sum of the squares of other two numbers
Le. `C^(2) = a^(2) + b^(2)` where C is largest number.]
Therefore, Missing number `= 6^(2) + 8^(2) =(ul(10))^(2)`.
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