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Quantitative - Mathematics - Word Problems:

Overlapping Sets

MCQ - 306-13073

Question:

A school has 54 students studying Physics, Chemistry and Biology. 33 study Physics, 25 Chemistry and 26 Biology. 10 study Physics and Chemistry, 9 study Biology and Chemistry while 8 study both Physics and Biology. Equal numbers study all three subjects as those who learn none of the three. how many students are taking all the three subjects?

  1. 2
  2. 3
  3. 5
  4. 3

Correct Answer: B

Explanation:

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(33 - 10 - 8 - x) + 10 + (25 - 10 - 9 - x) + 9 + (26 - 8 - 9 - x) + 8 + x + x = 54

(15 - x) + 10 + (6 - x) + 9 + (9 - x) + 8 + 2x = 54

x = 3

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1297 MCQ for effective preparation of the test of Overlapping Sets of Word Problems section.

Read the MCQ statement: A school has 54 students studying Physics, Chemistry and Biology. 33 study Physics, 25 Chemistry and 26 Biology. 10 study Physics and Chemistry, 9 stu .... the three subjects?, keenly and apply the method you have learn through the video lessons for Overlapping Sets to give the answer. Record your answer and check its correct answer and video explanation for MCQ No. 306-13073.

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Solve the question for MCQ No. and decide which option (A through D/E) is the best choice to answer the MCQ, then click/tap the blue button to view the correct answer and it explanation.

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