Statement-1: If N the number of positive integral solutions of `x_(1)x_(2)x_(3)x_(4)=770`, then N is divisible by 4 distinct prime numbers. Statement-
Statement-1: If N the number of positive integral solutions of `x_(1)x_(2)x_(3)x_(4)=770`, then N is divisible by 4 distinct prime numbers.
Statement-2: Prime numbers are 2,3,5,7,11,13, . .
A. Statement-1 is true, statement-2 is true, statement-2 is a correct explanation for statement-1
B. Statement-1 is true, statement-2 is true, statement-2 is not a correct explanation for statement-1
C. Statement-1 is true, statement-2 is false
D. Statement-1 is false, statement-2 is true
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Correct Answer - D
`because x_(1)x_(2)x_(3)x_(4)=2*5*7*11`
each of 2,5,7,11 can assign in 4 ways.
`therefore`Required number of solutions`=4xx4xx4xx4=4^(4)=2^(8)=256`
Hence, statement-1 is false and statement-2 is true.
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