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Hi tonebeeze! So, first step is to correct the error in the question - it should read as follows: In the xy-plane, at what two points does the graph of y = (x +a) (x + b) intersect the x-axis? 1. a + b = -1 2. The graph intersects the y-axis at (0, -6 ) I am very puzzled by equation. As i know this...

by goyalsau

Tue Jan 04, 2011 5:56 am
Forum: Data Sufficiency
Topic: Gmat Prep Coordinate Geometry DS
Replies: 12
Views: 1813

Hi tonebeeze! So, first step is to correct the error in the question - it should read as follows: In the xy-plane, at what two points does the graph of y = (x +a) (x + b) intersect the x-axis? 1. a + b = -1 2. The graph intersects the y-axis at (0, -6 ) I am very puzzled by equation. As i know this...

by goyalsau

Tue Jan 04, 2011 3:14 am
Forum: Data Sufficiency
Topic: Gmat Prep Coordinate Geometry DS
Replies: 12
Views: 1813

milanproda wrote:Q is a set of integers and 11 is in Q. Let q (small q) denote any element in the Q set. Is every positive multiple of 11 in Q?

1 q+11 is in Q

2 q-11 is in Q
It looks like a real Gmat question. What's the source?/ :?: :?: :?: :?: :?: :?: :?:

by goyalsau

Tue Jan 04, 2011 2:51 am
Forum: Data Sufficiency
Topic: Set integer/multiple of Q
Replies: 27
Views: 13178

What is the most efficient way of solving the below problem? Please provide step by step solution. Just to clarify, the ^ (caret) implies "to the power of". Thanks in advance. Is A^B > B^A? (1) A^A > A^B (2) B^A > B^B We can not take negative fractions for A & B , Because Then it will...

by goyalsau

Mon Jan 03, 2011 6:03 am
Forum: Data Sufficiency
Topic: DS - Inequalities
Replies: 2
Views: 1018

lunarpower wrote:um ... what's the source of the problem?

because this statement
Every factor of x is even
is impossible.

the number 1, which is odd, is a factor of EVERY positive integer; therefore, it's impossible for "every factor of x" to be even.

sketchy sketchy...
thanks Ron..

by goyalsau

Sun Jan 02, 2011 11:28 pm
Forum: Data Sufficiency
Topic: Number Property
Replies: 7
Views: 1563

Is A positive? 1) x^2-2x+A is positive for all x 2) Ax^+1 is positive for all x ... I assume it is Ax^2 + 1 Statement 1: (x² - 2x + A) > 0 for all x. => (x² - 2x + 1 + A - 1) > 0 => (x - 1)² + (A - 1) > 0 => (A - 1) > 0 ...................... As (x - 1)² ≥ 0 for all x => A > 1 => A is positiv...

by goyalsau

Sat Jan 01, 2011 10:23 am
Forum: Data Sufficiency
Topic: GMATclub Number properties
Replies: 10
Views: 1351

If x is an integer greater than 1, is x equal to 2^k for some positive integer k? (1) x has only one prime factor. (2) Every factor of x is even. I still don't understand this. How is it B? All statement 2 says is X is 2 to the something. Whether X =2^k depends on what K is. It could and it couldnt...

by goyalsau

Fri Dec 31, 2010 9:27 pm
Forum: Data Sufficiency
Topic: Number Property
Replies: 7
Views: 1563

Profit Percentage.

Gautam has different brands of Laptop in his show room. They are Acer, IBM, Compaq and Toshiba. Gautam found that he has sold Acer & Compaq at same selling price. He made 12% profit in Acer but suffered 10% loss in Compaq. If the total cost price of Acer & Compaq is Rs.84000, find how much m...

by goyalsau

Thu Dec 30, 2010 12:05 am
Forum: Problem Solving
Topic: Profit Percentage.
Replies: 2
Views: 1115

I was not able to calculate values for x , y and z. x + z = 168 , and y = 105 , But what about the individual vales of x and z, Can we calculate that?????????? No, as we have two equations in three unknowns. I asked for the value of x and y and z , Because of this problem. http://www.beatthegmat.co...

by goyalsau

Tue Dec 28, 2010 2:34 am
Forum: Problem Solving
Topic: Hill Top A
Replies: 5
Views: 2494

A person starts from hill top A, goes downhill, then along a plain and finally climbs to hill top B. He takes a total of 4 hours for the jouney travelling downhill @72kmph, on plains @63kmph and uphill @56kmph. However while returning back, from B to A, he takes 4 hours 40 mins with speeds being sa...

by goyalsau

Tue Dec 28, 2010 2:17 am
Forum: Problem Solving
Topic: Hill Top A
Replies: 5
Views: 2494

Hill Top A

A person starts from hill top A, goes downhill, then along a plain and finally climbs to hill top B. He takes a total of 4 hours for the jouney travelling downhill @72kmph, on plains @63kmph and uphill @56kmph. However while returning back, from B to A, he takes 4 hours 40 mins with speeds being sam...

by goyalsau

Mon Dec 27, 2010 11:02 pm
Forum: Problem Solving
Topic: Hill Top A
Replies: 5
Views: 2494

For any two distinct numbers x and y : (x-y)^2 > 0 => x^2 + y^2 > 2xy So, statement 2 : (x+y)^2 > 200 => x^2+y^2+2xy > 200 => 2(x^2+y^2) > 200 => x^2 + y^2 > 100 So it is sufficient . Hope that makes it clear. If (x^2+y^2)+2xy > 200 and since x^2+y^2 > 2xy Then (x^2+y^2)+(x^2+y^2) > 200 {You are ad...

by goyalsau

Mon Dec 27, 2010 11:51 am
Forum: Data Sufficiency
Topic: DS Question # 1 - X^2 + Y^2?
Replies: 11
Views: 2959

Why is 2 sufficient ? Here is how easy it is : For any two distinct numbers x and y : (x-y)^2 > 0 => x^2 + y^2 > 2xy So, statement 2 : (x+y)^2 > 200 => x^2+y^2+2xy > 200 ( Where you 2xy gone in the nest step) => 2(x^2+y^2) > 200 => x^2 + y^2 > 100 So it is sufficient . Hope that makes it clear.

by goyalsau

Mon Dec 27, 2010 10:30 am
Forum: Data Sufficiency
Topic: DS Question # 1 - X^2 + Y^2?
Replies: 11
Views: 2959

Hi goyalsau! Thank you for your interest in my solution!! if the sum of digits is divisible by 27, Then Number is divisible by 27, If its not then the number is not divisible by 27, You can use that for 3 and also for 9, but not for 27... (counter-) example: 1899 is not divisibly by 27 but the sum ...

by goyalsau

Mon Dec 27, 2010 10:01 am
Forum: Problem Solving
Topic: N = 121212
Replies: 9
Views: 5191

Let N = 121212... up to 300 digits. What is the remainder when N is divided by 999? 12 121 216 666 Let me write the given 300 digit number as follows: 1212 ... 121212 = 1212 ... 121*1000 + 212 = 1212 ... 2121*(999 + 1) + 212 = 1212 ... 2121*999 + 1212 ... 2121 + 212 = 999*(Something) + 1212 ... 233...

by goyalsau

Mon Dec 27, 2010 9:49 am
Forum: Problem Solving
Topic: N = 121212
Replies: 9
Views: 5191