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Edoua
If the lengths of perpendicular sides of a park that is in the shape of a right-angled triangle park are integers and the area of the triangular park is 630 square units, which of the following can be the greatest number that divides the lengths of both the perpendicular sides?

1) 6
2) 10
3) 21

Answer choices
A) 1
B) 2
C) 3
D) 1 and 2
E) 1,2 and 3

Help please

Edoua
If the lengths of perpendicular sides of a park that is in the shape of a right-angled triangle park are integers and the area of the triangular park is 630 square units, which of the following can be the greatest number that divides the lengths of both the perpendicular sides?

1) 6
2) 10
3) 21

Answer choices
A) 1
B) 2
C) 3
D) 1 and 2
E) 1,2 and 3

Help please
I answered C
­Check here: 

https://gmatclub.com/forum/if-the-lengt ... 97400.html

P.S. Geometry is no longer tested on the GMAT.
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Data Sufficiency Butler: May 2024
May 27DS 1DS 2
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Bunuel
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Please explain the answers
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Wow, please explain nullbyte

X is a set containing 7 different numbers. Y is a set containing 6 different positive numbers, all of which are memhers of set X. Is the mean of X equal to the mean of Y ? (1) The range of X is greater than the range of Y. (2) The sum of all the numbers in X is greater than the sum of all the numbers in Y.
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PrabhatKC
X is a set containing 7 different numbers. Y is a set containing 6 different positive numbers, all of which are memhers of set X. Is the mean of X equal to the mean of Y ? (1) The range of X is greater than the range of Y. (2) The sum of all the numbers in X is greater than the sum of all the numbers in Y.
I think A for this one
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Yes, can you explain.
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Nullbyte
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PrabhatKC
Please explain the answers
For 5th question, the options A and B would obviously change each of the numbers itself, so the median would clearly change, options D and E could change the median by changing the middle number

Like 1, 2, 3 median is 2. But if you increase the smallest number 1 to say 4, then the list becomes 2,3,4 so median has changed

Same for option E
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For question 6th, in any group of numbers the standard deviation is the deviation from the mean, so if you keep adding the mean to that group, the SD would reduce

So the 6th number has to be the mean
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I got one last doubt for the sitting of mine.
Look at my solution and alternative solution. The first one answers the question while the second one doesn’t.
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Yeah but we couldn’t get a proper ans it might can be changed
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PrabhatKC
I got one last doubt for the sitting of mine.
Look at my solution and alternative solution. The first one answers the question while the second one doesn’t.
Why are you not dividing the LHS by the total weight (p+q) or 25 in the 2nd one
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Hmm, I thought about using algebraic method.
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PrabhatKC
Hmm, I thought about using algebraic method.
Yes but the RHS is per kilogram. You have to convert the LHS into per kilogram also
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Can someone suggest a good gmat classes
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Bunuel
Problem Solving Butler: May 2023
May 27PS 1PS 2
Please on the same way on PS 1

If I want to find a number of 3*5 or 7*3 in 300!

What can be the process?

Let’s say for 21=3*7 I find first the number of 3 in 300! and then the number of 7 in 300!

If number of 3= a and number of 7=b
With a>b

May I conclude the number of 21 is b?

Is my reasoning correct ?
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PrabhatKC
X is a set containing 7 different numbers. Y is a set containing 6 different positive numbers, all of which are memhers of set X. Is the mean of X equal to the mean of Y ? (1) The range of X is greater than the range of Y. (2) The sum of all the numbers in X is greater than the sum of all the numbers in Y.
Discussed here: x-is-a-set-containing-7-different-numbers-y-is-a-set-containing-6-dif-250485.html

P.S. Worth noting though that such type of pure algebraic questions are no longer a part of the DS syllabus of the GMAT.

DS questions in GMAT Focus encompass various types of word problems, such as:

Word Problems
Work Problems
Distance Problems
Mixture Problems
Percent and Interest Problems
Overlapping Sets Problems
Statistics Problems
Combination and Probability Problems


While these questions may involve or necessitate knowledge of algebra, arithmetic, inequalities, etc., they will always be presented in the form of word problems. You won’t encounter pure "algebra" questions like, "Is x > y?" or "A positive integer n has two prime factors..."

Check GMAT Syllabus for Focus Edition

Hope it helps.

PrabhatKC
I got one last doubt for the sitting of mine.
Look at my solution and alternative solution. The first one answers the question while the second one doesn’t.
Discussed here: material-m-costs-10-per-kg-and-material-n-costs-20-per-kg-if-25-kg-231368.html
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