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If √1+x/961 = 32/31, then the value of x is :

(1) 63 (2) 61 (3) 65 (4) 64

Solution:

√1+x/961= 32/31

Squaring  both sides,

1+ x/961= (32/31)2= 1024/961

⇒ x/961= 1024/961-1=1024-961/961= 63/961

⇒ x= 63

Then the option is (1) 63

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