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PRAGATIOSTWAL
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x=ax-ab

Make sure x=x , so we know that a=1, and to make ab=0 ,b must equal to 0
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Pan11
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The logic behind x=x? First thing I thought was that x should have a degree of 2 in order to have more than 1 solution.
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X=X means, it can have ANY number of solutions

Any number can be equal to any number, very simple logic

For linear equation, this was my thought process
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Notice that x/a = x - b represents a linear equation with one unknown, x. Generally, such equations have one solution for x. For instance, x/2 = x - 1, which has one solution: x = 2. Similarly, x/4 = x + 3 also has one solution: x = -4. The only way for x/a = x - b to have more solutions is if the left-hand side and the right-hand side are identical, resulting in x = x, which is true for all values of x, hence more than one solution. This could happen if a = 1 and b = 0, thereby leading to x = x, and infinitely many solutions for x.
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Hey Guys
can anyone help me with this? Like how will you approach this type of question ?

In a certain company, all employees are either beta employees or standard employees. In this company, 25% of the beta employees and 17% of the standard employees participate in the voluntary equity program. Let S be the number of standard employees. If there are 600 employees total, what is the value of S?

(1) S > 100

(2) more than 130 employees participate in the voluntary equity program
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Maybe E?
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Rangerwarrior
Hey Guys can anyone help me with this? Like how will you approach this type of question ? In a certain company, all employees are either beta employees or standard employees. In this company, 25% of the beta employees and 17% of the standard employees participate in the voluntary equity program. Let S be the number of standard employees. If there are 600 employees total, what is the value of S? (1) S > 100 (2) more than 130 employees participate in the voluntary equity program
I think E
As We don’t have a clear value of both parameters S and N(numbers of participants in a program)
S can then take many values
A+S=600
25/100A+17/100S =N

Condition 1— S>100
Condition 2 — N>130
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Bunuel
Notice that x/a = x - b represents a linear equation with one unknown, x. Generally, such equations have one solution for x. For instance, x/2 = x - 1, which has one solution: x = 2. Similarly, x/4 = x + 3 also has one solution: x = -4. The only way for x/a = x - b to have more solutions is if the left-hand side and the right-hand side are identical, resulting in x = x, which is true for all values of x, hence more than one solution. This could happen if a = 1 and b = 0, thereby leading to x = x, and infinitely many solutions for x.
Please helps me to understand what’s going wrong with my reasoning here.

X/a = X-b
X= aX-ab
X(a-1)= ab
X= ab/(a-1)

Here the only way for X to have more than 1 solution , the denominator have to be equal to 0
Then a=1
(a-1)=0
ab/0 = infinite

And the numerator has to be different to zero to avoid 0/0( undetermined form)

as a=1 b just has to differ to zero

I don’t have a clear value of b
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Hi, can someone help me with this question?
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1(B) 2(F) is it?
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Answer given is 1C 2F
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Edoua
Please helps me to understand what’s going wrong with my reasoning here. X/a = X-b X= aX-ab X(a-1)= ab X= ab/(a-1) Here the only way for X to have more than 1 solution , the denominator have to be equal to 0 Then a=1 (a-1)=0 ab/0 = infinite And the numerator has to be different to zero to avoid 0/0( undetermined form) as a=1 b just has to differ to zero I don’t have a clear value of b
You cannot divide x(a - 1) = ab by (a - 1) precisely because (a - 1) can be 0. Hence, writing x = ab/(a - 1) would be incorrrect.
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Rangerwarrior
Hey Guys can anyone help me with this? Like how will you approach this type of question ? In a certain company, all employees are either beta employees or standard employees. In this company, 25% of the beta employees and 17% of the standard employees participate in the voluntary equity program. Let S be the number of standard employees. If there are 600 employees total, what is the value of S? (1) S > 100 (2) more than 130 employees participate in the voluntary equity program
The answer should be C. Is this answer correct?
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Data Sufficiency Butler: April 2024
April 16DS 1DS 2
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Bunuel
You cannot divide x(a - 1) = ab by (a - 1) precisely because (a - 1) can be 0. Hence, writing x = ab/(a - 1) would be incorrrect.
Thanks
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Can someone explain why the third prompt is not possible to determine ? This question is from GMAT Prep (Focus).
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can someone advise about the solution of this question please?
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