If 60 percent of the employees at company X are female, does

Given: 60 percent of the employees at company X are female
In other words: (number of female employees)/(TOTAL number of employees) = 60/100

Target question: Does company x have more than 100 female employees?

Statement 1: Company X has more than 150 employees
Let's test two cases that satisfy statement 1:
Case a: Company X has 1000 employees. So, the number of female employees = 60% of 1000 = 600. The answer to the target question is YES, the company has more than 100 female employees
Case b: Company X has 155 employees. So, the number of female employees = 60% of 155 = 93. The answer to the target question is NO, the company does not have more than 100 female employees
Since we cannot answer the target question with certainty, statement 1 is NOT SUFFICIENT

Statement 2: Company X has 74 more female employees than male employees
Let M = number of male employees
So, M + 74 = number of female employees
So, the TOTAL number of employees = M + (M + 74) = 2M + 74

We already know that (number of female employees)/(TOTAL number of employees) = 60/100
Substitute values to get: (M + 74)/(2M + 74) = 60/100
ASIDE: Please note that, at this point, we need to only recognize that we COULD solve this equation for M, which means we COULD how to determine the total number of female employees.
So statement 2 must be sufficient, and we won't waste any time actually solving the equation.

Having said that, let's solve the equation for "fun"...
Simplify to get: (M + 74)/(2M + 74) = 3/5
Cross multiply to get: (3)(2M + 74) = (5)(M + 74)
Expand: 6M + 222 + 5M + 370
Solve: M = 148

So the number of female employees = M + 74 = 148 + 74 = 222
The answer to the target question is YES, the company has more than 100 female employees
Since we can answer the target question with certainty, statement 2 is SUFFICIENT

Answer: B

Cheers,
Brent

let the no. of employees = x

3x/5 = females (60%
2x/5 = males (40%)

3x/5 > 100 ?
OR x > 500/3 ?

1) x > 150. INSUFFICIENT.

2) 3x/5 - 2x/5 = 74. SUFFICIENT. no need to solve the equation though.

From 1. we can deduce that, number of female employes is 96 and we can answer the question(dose company X have more than hundred female employees).
NO is the answer.
I suppose its an YES/NO question.
MY ANSWER IS 'D'
LET ME KNOW, IF I AM WRONG...

We are asked if 3/5x>100 or if x>166 or x>=167
Were 'x' stands for total employees
Statement 1
x>150. Clearly Insuff

Statement 2
F = M+74 --> 3/5x = 2/5x + 74 ---> 1/5x = 74.
Hence x=370

Suff

Answer is B

Hope it helps
Cheers!
J

DS1 Alone. For 150 Employee, Female is 90. For 300 Employee, Female is 180. Not Sufficient. Choice left BCE
DS2 Alone: (60%F-40%M)=20% is 74, hence Female is, 3x74 = 222. Sufficient. Cross CE
So answer is B.

No... you are wrong. if you read the question more carefully. 1 says employees are more that 150... if it is 150 female = 90. if 200 female = 120. so no of female can be less or more than 100.

Hence 1 is not sufficient.
2 alone is sufficient.

Answer is B.

The number can be less than or more than 100; if no. of employees is 320 (greater than 150), no. of female employees is 192 and by your own calculation, no. of female employees can be 96.

In the second statement the difference in no. of men & women, which is 20% of the total no. of employees, is 74
since 20% of x is 74;
60% of x is 74*3
So statement 2 is sufficient but statement 1 is not.

so B

Statement 1:
Greater than 150 does not clarify due to multiple possibilties

For 160, 60% is 96. For 200, 60% is 120. hence Insufficient.

Statement 2:
Let men be x
Women = x+74
Solve
[(x+74)/(x+x+47)] * 100 = 60. Sufficient

Hence, B

(1) x>150
0.6x>100
0.6*150 = 90 --> INSUFFICIENT

(2) 0.6x = 74 + y
0.6x = 74 + 0.4x
0.2x = 74
SUFFICIENT

B

Step 1: Analyse Question Stem

It is given that 60 percent of the employees at company X are female. Therefore, 40 percent of the employees at company X are male.

Let the number of employees at company X be 100k. Therefore, number of female employees is 60k and number of male employees is 40k.

We have to find out if company X has more than 100 female employees. In other words, we have to find if 60k is more than 100

Step 2: Analyse Statements Independently (And eliminate options) – AD / BCE

Statement 1: Company X has more than 150 employees

Therefore, 100k > 150.

If 100k = 160, k = \(\frac{8}{5}\) and 60k = 60 * \(\frac{8}{5}\) = 96. The number of female employees is not more than 100.

If 100k = 200, k = 2 and 60k = 120. The number of female employees is more than 100.

The data in statement 1 is insufficient to answer the question with a definite YES or NO.
Statement 1 alone is insufficient. Answer options A and D can be eliminated.

Statement 2: Company X has 74 more female employees than male employees.

Therefore, 60k = 40k + 74

Solving for k, we get k = \(\frac{74 }{ 20}\) = \(\frac{37 }{10}\).

When k = \(\frac{37 }{10}\), 60k = 60 * \(\frac{37 }{10}\) = 6 * 37 = 222

The number of female employees is more than 100.

The data in statement 2 is sufficient to answer the question with a definite YES.
Statement 2 alone is sufficient. Answer option C and E can be eliminated.

The correct answer option is B.

Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.