In a group of 40 people, 15 have visited Iceland and 23 have visited N

Question

In a group of 40 people, 15 have visited Iceland and 23 have visited Norway. If 11 people have visited both Iceland and Norway, how many people have visited neither country?

A. 10
B. 11
C. 12
D. 13
E. 14

ynaikavde · Answer

Let x and y be people who have visited   only    Iceland and Norway respectively. Then 
x+11=15
y+11=23
x=4
y=12
People who have no visited Iceland or Norway =40-11-4-12=13>>D

EMPOWERgmatRichC · Answer

HI All,

This is an example of a standard Overlapping Sets question. It has no 'twists' to it, so you'll likely find using the Overlapping Sets Formula to be a fairly easy approach. If you're not familiar with it, then here is the Formula:

Total = GroupA + GroupB - (# in Both Groups) + (# in Neither Group)

The prompt gives you all of the numbers you need to get to the correct answer. Just plug in and solve.

Final Answer:  D

It's worth noting that when more-difficult types of these questions show up on Test Day, the Formula likely won't be enough to answer the question. In those situations, you'll likely find it easiest to use the Tic-Tac-Toe board.

GMAT assassins aren't born, they're made,
Rich

santorasantu · Answer

D is the answer:

n(IuN) = n(I) + n(N) - n(InN) + none
40 = 15 + 23 - 11 + none
none = 13

so D

Bunuel · Answer

MAGOOSH OFFICIAL SOLUTION doublematrix_text.PNG

Lucky2783 · Answer

40 = 23 + 15 - {  Both=11  } + {  Neither  }
Answer D. 13.

nachobioteck · Answer

When having 2 intersecting groups the following formula should be followed:

Total = in Group 1 + in Group 2 - In both Groups + in neither group

In this particular case:

44 = 15 + 23 -11 + Neither

Neither = 13

buddyisraelgmat · Answer

2*2 Matrix

Yes (I) No (I) Total
Yes (N) 11 12 = 23
No (N) 4    13  (?)  = 17
Total = 15 25 40

PareshGmat · Answer

Answer = D = 13 Refer diagram below, we require to find the shaded region set.png

Abhishek009 · Answer

n(A U B) =n (A) + n (B) - n (A ∩ B)

n(A U B) =15 + 23 - 11

n(A U B) = 27

n(A U B)' = 40 - 27 = 13 , Answer must be (D)

bumpbot · Answer

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In a group of 40 people, 15 have visited Iceland and 23 have visited N

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In a group of 40 people, 15 have visited Iceland and 23 have visited N

Prep Toolkit

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

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