NET JRF PART - A : Questions and Solutions : NET JUNE-2014

NET JRF PART - A : Questions and Solutions:

NET JUNE-2014

1.) If A × B = 24, B × C = 32, C × D = 48 then A × D

(a) cannot be found (b) is a perfect square 

(c) is a perfect cube (d) is odd 

Ans. : (b) is a perfect square .

Solution: A × B = 24, B × C = 32, C × D = 48  

Hence, 

( A × B ) ÷ ( B × C ) = 24 / 32

Therefore, A ÷ C = 3 / 4

( A ÷ C ) × ( C × D ) = ( 3 / 4 ) × 48

Therefore, A × D = 3 × 12 = 36 = 6 × 6 = 6² .

 A × D can be found and it is a perfect square.