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Set R and S are contained by set T. R consists of 55 numbers and S

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Set R and S are contained by set T. R consists of 55 numbers and S  [#permalink]

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New post 26 Jan 2019, 05:16
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Set R and S are contained by set T. R consists of 55 numbers and S consists of 67 numbers. If T consists of 120 numbers, and 20 numbers are in R but not in S, how any numbers in T are in neither R nor S?

(A) 2

(B) 12

(C) 22

(D) 25

(E) 33

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Set R and S are contained by set T. R consists of 55 numbers and S  [#permalink]

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New post Updated on: 26 Jan 2019, 05:38
S TOTAL= 67
R TOTAL= 55

BOTH IN S & R COMMON = 35

It means
Numbers in R but not in S = 20
Numbers in S but not in R = 32

SO UNIQUE TOTAL NUMBERS IN S AND T = 20+32+ 35 (IN BOTH) = 87

Total in T = 120

Only in T and not in S and also not in R = 120-87 = 33 Answer
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Originally posted by zs2 on 26 Jan 2019, 05:35.
Last edited by zs2 on 26 Jan 2019, 05:38, edited 1 time in total.
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Re: Set R and S are contained by set T. R consists of 55 numbers and S  [#permalink]

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New post 26 Jan 2019, 05:37
R = 55
S = 67
T = 120
Numbers only in R = 20
Then numbers in both S and R = 55-20 = 35
Numbers only in S = 67-35 = 32
Neither of the sets = 120-20-35-32 = 33.

E is the answer.
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Re: Set R and S are contained by set T. R consists of 55 numbers and S  [#permalink]

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New post 26 Jan 2019, 05:51
rohan2345 wrote:
Set R and S are contained by set T. R consists of 55 numbers and S consists of 67 numbers. If T consists of 120 numbers, and 20 numbers are in R but not in S, how any numbers in T are in neither R nor S?

(A) 2

(B) 12

(C) 22

(D) 25

(E) 33


IMO E

NR = Not in R

NS = Not in S

Just interpret the given data in 2x2 matrix as inline

------R--------NR------Total
S ----35-------32-----67

NS --20--------33----53

------55--------65----120


how any numbers in T are in neither R nor S = 33

E
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Re: Set R and S are contained by set T. R consists of 55 numbers and S  [#permalink]

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New post 26 Jan 2019, 10:56
rohan2345 wrote:
Set R and S are contained by set T. R consists of 55 numbers and S consists of 67 numbers. If T consists of 120 numbers, and 20 numbers are in R but not in S, how any numbers in T are in neither R nor S?

(A) 2

(B) 12

(C) 22

(D) 25

(E) 33
Attachment:
Sets.jpg
Sets.jpg [ 40.26 KiB | Viewed 96 times ]
Answer must be (D) 33
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Re: Set R and S are contained by set T. R consists of 55 numbers and S   [#permalink] 26 Jan 2019, 10:56
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