How many students does Professor Garcia currently have in his class?

Question

(1) If there were 10 more students in his class, Professor Garcia would have at least 50 students in his class.

(2) If there were 10 fewer students in his class, Professor Garcia would have at most 50 students in his class.

azoz7 · Answer

I really thought the answer was B. I thought 60-10= 50. Could someone clarify the solution? Thanks

IanStewart · Answer

Statement 1 ensures there are at least 40 students, and Statement 2 ensures there are at most 60, but we can have any number between 40 and 60 inclusive using both Statements, so the answer is E.

deepshikha12 · Answer

1) If there were 10 more students in his class, Professor Garcia would have at least 50 students in his class.

Lets say total x student

so, if there were 10 more, x+10, atleast 50 students, x+10>=50, x>=40, Insufficient

option a and d are out

2) If there were 10 fewer students in his class, Professor Garcia would have at most 50 students in his class.

now, if there were 10 fewer, x-10, atmost 50 students, x-10<=50, x<=60, Insufficient,

option b is also out

if we put both 1 and two together, 40<x<60, so student can range from 40 to 60, Insufficient

hence d is out too.

only option left is E.

simranjeetdua · Answer

consider x to be the number of students.

Statement-1:
x+10 >=50
x>=40
Thus, not sufficient
So now we'll look at the second statement
Statement-2 :

x-10<=50
x<=60
It is also not sufficient to solve the question.

so our x is in the range [40,60]
but we dont have any exact value, so both of the statements aren't sufficient.
hence, the option is E

bumpbot · Answer

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How many students does Professor Garcia currently have in his class?

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How many students does Professor Garcia currently have in his class?

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