Is 2p 3q not equal to 0? (1) 4p is not equal to 6q (2) p is not equ

Question

Is  2p – 3q  not equal to 0?

(1)  4p  is not equal to  6q

(2)  p  is not equal to  q

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zhanbo · Answer

(1) Only
4p is not equal to 6q
=> 2p is not equal to 3q
We can answer "YES" to the question "Is 2p–3q not equal to 0".
Sufficient

(2) Only
If p=3 and q=2, 2p–3q = 0
If p=3 and q=100, 2p–3q <> 0
Not sufficient

The answer is thus  (A) .

MBAHOUSE · Answer

Proportional inequalities and plug in numbers.

rajtare · Answer

2p-3q is not equal to zero means, 2p is not equal to 3q

a) 4p is not equal to 6q. if we divide both sides by 2, we will get 2p is not equal to 3q hence a alone is sufficient

b) p is not equal to q,

consider p=3, and q= 2

in this case 2p is equal to 6q. however, if we consider p=1, and q=2 in this case 2p is not equal to 3q 
hence insufficient

thus correct answer should be a

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