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26 Aug 2019, 00:37
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\(X\) is the set of positive integer multiples of \(3\), and \(Y\) is the set of positive integer multiples of \(7\). Define \(X+Y\) as \({x+y|x ∈X and y ∈Y}\). How many elements of \(X+Y\) are less than or equal to \(21\)?
\(A. 4\)
\(B. 6\)
\(C. 8\)
\(D. 11\)
\(E. 13\)
\(A. 4\)
\(B. 6\)
\(C. 8\)
\(D. 11\)
\(E. 13\)
26 Aug 2019, 03:43
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X:{3,6,9,12,...}
Y:{7,14,...}
X+Y:{10,13,16,17,19,20}|x€X & y€Y
And <=21
Option B
Posted from my mobile device
Y:{7,14,...}
X+Y:{10,13,16,17,19,20}|x€X & y€Y
And <=21
Option B
Posted from my mobile device
28 Aug 2019, 00:53
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\(X = { 3, 6, 9, 12, 15, 18, 21, … }\) and \(Y = { 7, 14, 21, … }\)
The following pairs \(( x, y )\) satisfy \(x + y <= 21:\)
\((3, 7), (3, 14), (6, 7), (6, 14), (9,7)\) and \((12,7).\)
There are \(6\) such pairs, \((x,y).\)
Therefore, B is the answer.
Answer: B
\(X = { 3, 6, 9, 12, 15, 18, 21, … }\) and \(Y = { 7, 14, 21, … }\)
The following pairs \(( x, y )\) satisfy \(x + y <= 21:\)
\((3, 7), (3, 14), (6, 7), (6, 14), (9,7)\) and \((12,7).\)
There are \(6\) such pairs, \((x,y).\)
Therefore, B is the answer.
Answer: B
