At the time of admission, 35 percent of all doctorate students at a pa

Question

At the time of admission, 35 percent of all doctorate students at a particular business school have a Ph.D. in a non-business related field. Meantime, 45 newly admitted students have a master's degree as their highest degree. Exactly how many Ph.D. students are there at this business school based on the following statistics at the time of admission for the entire program?

(1) 35 have a doctorate degree completed in a non-business related field.

(2) 45 percent have a master's degree as their highest degree.

(1) 35 have a doctorate degree completed in a non-business related field.

(2) 45 percent have a master's degree as their highest degree.

Kurtosis · Answer

Let the number of doctorate students be = x = ?
PhD(non biz) = 0.35x
Number of students who have a masters degree = 45

St1: 0.35x = 35 --> x = 100
Sufficient

St2: 45 = 0.45x --> x = 100
Sufficient

Answer: D

bazu · Answer

IMHO it is C.

Stm1: says that 35 students have a PhD not related to business, but we don't know how many of the other 65 students have a PhD in business.

Stm2: says that 45% of the students have only a master. This means the 45 newly admitted students plus thoese who were already in the school without a PhD. But we don't know the latter information, therfore Stm 2 is not suff.

1&2: We know that there are 100 students (stm1), therefore the 45% students with only a master need to be the 45 students newly admitted. Thus 100-45=55 are students with a PhD.

Kurtosis · Answer

35 percent of all doctorate students at a particular business school have a Ph.D. in a non-business related field --> This means that if there are a total of x doctorate students then 0.35x have PhD in non business related field.
St1 provides the number of students having doctorate in non business related field as 35. So we can get the value of x.
St2 has a logic similar to St1.

elainetianfong · Answer

I think there's a problem with your St2 explanation. 
"45% have master degree as their highest degree" should mean that the PhD, MD percentage is 55%, 45% respectively (assume that there are only 2 types of admitted students).
So, let z be the total number of admitted students, then we have 0.45z = 45 
=> z= 100 
=> number of PhD = 0.55 x 100 = 55
It would be a better explanation.
Cheers

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ushasi · Answer

The answers should not be 'D'. Here 35 refers to the new count ( i.e after adding Masters). So we should not draw 35% x =35 Please help me to understand correctly

hellosanthosh2k2 · Answer

Hi  Bunuel ,

I have a question. Though i get answer as D.

Statement 1 : 0.35 * doctorate students = 35 => doctorate students = 100 => sufficient

Statement 2: 0.45 of newly admitted students have master's as highest degree.
 0.45 * total students = 45 => total students = 100, so number of doctorate students = 55, which is different from statement 1.

Am i missing understanding the question?

Please help.

thanks

gmatexam439 · Answer

Hello  Bunuel ,

I am getting D but the numbers are different? DS can't have 2 solutions. Please throw some light on my below understanding.

My understanding: 
Question Stem --  35% of D = PhD NB  and  Master Degree = 45

Statement 1: 
35=35% of D => D=100 -- Sufficient

Statement 2:
45 = 45% of Total Students => T=100; Therefore, D = 100-45=55 --Sufficient

Regards

At the time of admission, 35 percent of all doctorate students at a pa

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