NET JRF PART - A : Questions and Solutions : NET DEC-2018

NET JRF PART - A : Questions and Solutions:

NET DEC-2018

1.) If D = ABC + BCA + CAB, where A, B and C are decimal digits, then D is divisible by 

(a) 37 and 29 

(b) 37 but not 29

(c) 29 but not 37 

(d) neither 29 nor 37

Ans. : (b) 37 but not 29 .

Solution:

D = ( 100A + 10B + C ) + ( 100B + 10C + A ) + ( 100C + 10A + B ) = 111A + 111B + 111C = 111( A + B + C ) = 37 × 3( A + B + C ) .

D = 37 × 3( A + B + C ) .