Data Sufficiency

Q. If y is greater than 110 percent of x, is y greater than 75?
(1) x >75
(2) y - x = 10

I Chose A, am I correct?

MI3 wrote:Q. If y is greater than 110 percent of x, is y greater than 75?
(1) x >75
(2) y - x = 10

I Chose A, am I correct?

given:y>2.1x; asked: is y>75

1) x>75;

therefore y>157.5; i.e. y will be greater than 75 hence 1 alone is sufficient to answer the question.
2) y-x=10;
y=x+10;
x+10>2.1x;
1.1x<10;
11x<100;
x<100/11;
i.e. x<9.09;

now suppose x is 9; therefore we have;
y>2.1(9);
y>18.9;
i.e. y can be either 19, 20, 21,...76... and so on i.e. we cannot said with the surety whether y is going to be greater than 75 or not.. hence 2 alone is not sufficient to answer the question hence answer should be A

wat about this
take condition 2 y=x+10
y>110% of x => y> x+x/10
x+10 > x+x/10
x/10<10
x<100
so value of x may even be 1 where y=1.1
so insufficient

manpsingh87 wrote:

MI3 wrote:Q. If y is greater than 110 percent of x, is y greater than 75?
(1) x >75
(2) y - x = 10

I Chose A, am I correct?

given:y>2.1x; asked: is y>75

1) x>75;

therefore y>157.5; i.e. y will be greater than 75 hence 1 alone is sufficient to answer the question.
2) y-x=10;
y=x+10;
x+10>2.1x;
1.1x<10;
11x<100;
x<100/11;
i.e. x<9.09;

now suppose x is 9; therefore we have;
y>2.1(9);
y>18.9;
i.e. y can be either 19, 20, 21,...76... and so on i.e. we cannot said with the surety whether y is going to be greater than 75 or not.. hence 2 alone is not sufficient to answer the question hence answer should be A

Hi,

I would like to add something less significant in terms of the answer:
y is greater than 110 percent of x => y>1.1x, not 2.1x

Cheers!

Frankenstein wrote:Hi,

I would like to add something less significant in terms of the answer:
y is greater than 110 percent of x => y>1.1x, not 2.1x

Cheers!

Good catch!

Remember, math wording is very precise - moving one important word around can completely change the meaning of the question.

If the question had read:

If y is 110 percent greater than x...

then we'd have:

y = 2.1x

The only way we can get y > 2.1x is if the question had read:

If y is greater than 110 percent greater than x...

or

If y is greater than 210 percent of x...

thank you.. guys.. cheers...!!!

I take it that the OA is A?

Btw, good find.

Cheers!