At a school, one-fourth of the teachers are male and half of the teach

Question

At a school, one-fourth of the teachers are male and half of the teachers are non-academic staff. What is the number of teachers at this school?

(1) Exactly 14 of the teachers at the school are males who are non-academic staff.
(2) There are 32 more female teachers than male teachers at the school.

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Dereno · Answer

Let’s use the question stem to create a table :

Male  
 Female  
  Total  
 
  Teachers  
  x  
  3x 
  4x 
 
  Non Academics

2x

6x

Statement 1:

Exactly 14 of the teachers at the school are males who are non-academic staff.

so, the value below x becomes 14 ( non academic male ) , female = 2x -14.

since, we cannot find x,  insufficient.

Statement 2:

There are 32 more female teachers than male teachers at the school.

3x - x = 2x = 32

Thus, x = 16.

Hence, 6x = 6*16 = 96. Hence,  Sufficient.

Option B

Souradeep17 · Answer

Male  
  Female 
  Total  
 
  Non-Academic

x/2 
 
   academic

x/2 
 
  Total 
 x/4 
 3x/4 
 X

We have this info: 
option 1:
14 teachers are male and non academic 
 This does not help to figure out the total number of teachers. (not sufficient)

Option 2
3x/4-x/4=32 =>2x/4=32=> x=64. Sufficient . Hence it should be option B

At a school, one-fourth of the teachers are male and half of the teach

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GMAT Data Sufficiency (DS) Questions

At a school, one-fourth of the teachers are male and half of the teach

Prep Toolkit

615 to 715 in 15 Days (Ria's Strategies)

More than Quant/Verbal Abilities: Speed vs. Accuracy

745 with Only Self-Prep and GMAT Club

From 555 to 765: 210-point Improvement

Perfect 805 Score Debrief by Julia

My Rewards