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If , S^4*v^3*x^7<0, is svx<0?

1) v<0
2) x>0

sol: consider only stmt 1, where v is negative but S is always positive, becoz of its even power, but X can be postive or negative, becoz of its odd power.
so svx can greater or lesser than zero. finally stmt 1 alone is not suffcient to answer
now consider stmt 2, where again S is always positive and V can be positive or negative, becoz of its odd power, and x is always postive.
so, SVX can again greater or lesser than zero. finally stmt 2 alone is not sufficient to answer

but combining both stmt 1 and stmt 2, S is always positive, V is always negative, and X is always positive, now SVX < 0 , can be answered,
both stmts combinely are sufficient to answer.

OA is C
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pradeepsrilatha
If , S^4*v^3*x^7<0, is svx<0?

1) v<0
2) x>0

sol: consider only stmt 1, where v is negative but S is always positive, becoz of its even power, but X can be postive or negative, becoz of its odd power.
so svx can greater or lesser than zero. finally stmt 1 alone is not suffcient to answer
now consider stmt 2, where again S is always positive and V can be positive or negative, becoz of its odd power, and x is always postive.
so, SVX can again greater or lesser than zero. finally stmt 2 alone is not sufficient to answer

but combining both stmt 1 and stmt 2, S is always positive, V is always negative, and X is always positive, now SVX < 0 , can be answered,
both stmts combinely are sufficient to answer.

OA is C
S is not always positive but S^2 is always positive

E is the answer
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i do not understand what is the need in solving this

the value of s is not given , so that means s can be 0 and s^2 will also be 0

so, E
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ichha148
i do not understand what is the need in solving this

the value of s is not given , so that means s can be 0 and s^2 will also be 0

so, E

Yes, the answer is E. But since \(s^4*v^3*x^7 < 0\), then s cannot be zero, so we do need some "solving".
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oops , yes ,missed that , we do need to solve this :)
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Definitely agree with E being the answer.

1) v<0 --> means x>0, but we still don't know value of s, thus INSUFFICIENT

2) x>0 --> means v<0, but we still don't know value of s, thus INSUFFICIENT

A,B,D eliminated...

(1) + (2) --> Still INSUFFICIENT as we don't know value of s - it can still be either positive or negative

D eliminated...
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brunel why can we not assume s^4 will always be positive as it is an even power?
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samburslem7
brunel why can we not assume s^4 will always be positive as it is an even power?

A number in even power is always nonnegative, so 0 or positive. So, of s = 0, then s^4 = 0.
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