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Easyset theory

~50s

Readers of only one paper

In a survey of 500 people, 280 read newspaper A, 220 read newspaper B, and 90 read both.

How many read only newspaper A?

Show the answer and the worked solution

Correct answer: B.

190

Worked solution

  1. Only A = 280 − 90 = 190.

Answer: 190.

The idea

'Only A' removes the overlap from A's total. The same subtraction on B gives 130, and 190 + 130 + 90 = 410 as a check.

Shortcut. Only A = readers of at least one paper minus all of B's readers: 410 − 220 = 190.

Common trap. 220 — B's total, the figure printed beside A's in the prompt; 'only A' is A's 280 less the 90 who read both.

Readers of only one paper — Caselets Aptitude Question

Readers of only one paper: In a survey of 500 people, 280 read newspaper A, 220 read newspaper B, and 90 read both. Answer and worked solution on CodeKairo.

Question

In a survey of 500 people, 280 read newspaper A, 220 read newspaper B, and 90 read both.

How many read only newspaper A?

Options

  1. 170
  2. 190
  3. 200
  4. 220
Show the answer and the worked solution

Correct answer: B. 190

Worked solution

  1. Only A = 280 − 90 = 190.

Answer: 190.

The idea

'Only A' removes the overlap from A's total. The same subtraction on B gives 130, and 190 + 130 + 90 = 410 as a check.

Shortcut. Only A = readers of at least one paper minus all of B's readers: 410 − 220 = 190.

Common trap. 220 — B's total, the figure printed beside A's in the prompt; 'only A' is A's 280 less the 90 who read both.

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