350 students at High School are currently enrolled in French, Spanish,

Question

350 students at High School are currently enrolled in French, Spanish, or both French and Spanish. 230 students are currently enrolled in Spanish.

In the table, identify the number of students currently enrolled in French and the number of students currently enrolled in both French and Spanish. The two numbers must be consistent with each other and with the constraints above. Make exactly one choice in each column. (the given options are for column 3)

Sajjad1994 · Accepted Answer

Official Explanation

Although you could draw a Venn diagram or a double-set matrix to answer this question, there is a formula for overlapping sets that will save you time:

Total = Group 1 + Group 2 + Neither – Both

In words, the total number of items equals the number of items in the first group, plus the number of items in the second group, plus the number of items in neither group, minus the number of items in both groups. (That last subtraction is necessary because the “both” items have been counted twice, as part of the first group and as part of the second group.) Apply the formula to the current problem:

Total = Spanish + French + Neither – Both

The total number of students is 350 and the number of students currently enrolled in Spanish is 230. Furthermore, all students are taking either French or Spanish or both, so the Neither category equals 0.

230 + French + 0 – Both = 350

French – Both = 120

Find 2 choices that differ by 120, with the larger number representing the total number of students currently enrolled in French and the smaller number representing the number of student enrolled in both French and Spanish. 260 and 140 are the only numbers in the list that have a difference of 120.

Column 1: The correct answer is (E).
Column 2: The correct answer is (A).

hi1177 · Answer

IMO it's 260 for french students and 140 for taking both classes.
No. taking french only = 350-230 = 120
No. of french students= 120 + No. taking both
In the numbers given only 260 = 120 + 140 can suffice the equation.

mbaaspirant80 · Answer

Hi Folks, IR question for your trial Q.JPG

sarthaks97 · Answer

Hi,

Given : Total = 350 & Spanish = 230

From the question and the concept of overlapping sets : Spanish + French - Both = Total

Therefore, from the given information:

230 + French - Both = 350

French - Both = 120

From the given answer choices :  French = 260  and  Both French and Spanish = 140

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bumpbot · Answer

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French	French and Spanish	Number
		140
		180
		200
		220
		260
		280

350 students at High School are currently enrolled in French, Spanish,

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350 students at High School are currently enrolled in French, Spanish,

Prep Toolkit

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

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745 with Only Self-Prep and GMAT Club

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My Rewards