In a group of 40 students, 22 study Mathematics, 18 study English, and 8 study both. How many study at least one subject?
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Use n(M ∪ E) = n(M) + n(E) - n(M ∩ E).
Thus, 22 + 18 - 8 = 32.
Practice GAT Quantitative Reasoning questions with answers and explanations.
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Use n(M ∪ E) = n(M) + n(E) - n(M ∩ E).
Thus, 22 + 18 - 8 = 32.
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There are 5 letters with L repeated twice and E repeated twice.
Distinct arrangements = 5!/(2!2!) = 30.
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Thirty-two students study at least one subject.
Out of 40 students, 40 - 32 = 8 study neither.
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The sum is 40 and there are 5 values.
The mean is 40 ÷ 5 = 8.
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A fair coin has two equally likely outcomes.
One favorable outcome out of two gives probability 1/2.
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The median is the middle value in ordered data.
The third of five values is 9.
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There are six equally likely die outcomes and only one is 5.
Thus, the probability is 1/6.
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The mode is the value occurring most often.
The number 4 appears three times.
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A standard deck has 26 red cards out of 52 total cards.
Thus, 26/52 = 1/2.
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Range equals maximum minus minimum.
Thus, 40 - 12 = 28.
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There are 4 aces among 52 cards.
Thus, the probability is 4/52 = 1/13.
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Matrix order is written as rows by columns.
Therefore, 3 rows and 4 columns give order 3 × 4.