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If y is greater than 110 percent of x, is y greater than 75? (1)\(x<75\) (2) \(y - x = 10\)

My arguments are in the next post.

if y > 1.1x is y>75 ?

a. x<75 so lets try x =1 which means y >1.1 which doesnt mean y > 75 no x = 74. 1.1* 74 = 81ish so y >75 -INSUFFF b. y= 10+x we dont know x so no go INSUFF

C. so y = 10+1 = 11 which means y<75. y = 10 + 74 = 84 which means y>75 so INSUFF

If y is greater than 110 percent of x, is y greater than 75? (1) \(x<75\) (2) \(y - x = 10\)

My arguments are in the next post.

For A to be an answer statement (1) should be \(x>75\) (and I think this is the case as I've seen this question before).

Then we would have: \(y>1.1x\). Question: is \(y>75\)? Or is \(x\geq{\frac{75}{1.1}}\)

(1) \(x>75\). Sufficient.

(2) \(y - x = 10\). Not sufficient as shown above.

Answer: A.

Hi,

The option is x<75 not x>75..

If x <75, x can be x<75/1.1 or 75/1.1 <x<75

So IMO, (1) is insufficient..

Please read my post.

OA was given to be A and I said: "(A) to be an answer statement (1) should be \(x>75\), (and I think this is the case as I've seen this question before)". _________________

It's E. I did the math out. Follow me with this one. Remember that the question stem simply says that y is GREATER than 110% of x (it's doesn't say how much greater than 110%)

1. x<75 - Insufficient. No matter what X is we don't know how much over 110% it is 2. y-x=10 y=x+10 If y is 120% of x ===> y= x+10=1.2x===>10=.2x===>x=50===>y=60, thus 60<75 (No) If y is 111% of x ===> y= x+10=1.11x==>10=.11x==>x=90.9090...==>y=100.9090>75 (Yes) Statement 2 is Insufficient Now let's take S1 and S2 together: If x=74, y=84 and is 113% of x and is greater than 75 If x=50, y=60 and is 120% of x and is less than 75 Statements 1 and 2 together are Insufficient E _________________

The Brain Dump - From Low GPA to Top MBA(Updated September 1, 2013) - A Few of My Favorite Things--> http://cheetarah1980.blogspot.com

Re: If y is greater ... [#permalink]
28 Feb 2011, 01:45

We are given that y > 1.1x, we need to find if y>75

From 1, x > 75, so y > 82.5 and hence y>75, sufficient From 2 Y = x+10 or x + 10 > 1.1x or 10 > 0.1x or 100 > x, so x is less than 100. Now for x =10, y = 20 and it is less than 75, whereas for x = 80, y = 90 and it is greater than 75, so insufficient. Answer A

Last edited by beyondgmatscore on 28 Feb 2011, 02:04, edited 1 time in total.

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