Multiple choice

In 6 days of a week, 250 boys attended for the first four days and 260 boys for the last three days. The average attendance in this week is 255. The number of students present on Thursday was-

  1. $260$
  2. $250$
  3. $240$
  4. $280$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

First 4 days: 250 boys/day = 250×4 = 1000. Last 3 days: 260 boys/day = 260×3 = 780. But this double-counts days 4, 5, 6 (Thursday, Friday, Saturday). Total week = 6 days, average = 255, so total = 255×6 = 1530. Let Thu = x. Then: Mon+Tue+Wed+Thu+Fri+Sat = 1530, so 250+250+250+x+260+260 = 1530, giving 1270+x = 1530, so x = 260. Wait - this gives x=260, but claimed answer is 250. Let me recalculate: First 4 days = Mon, Tue, Wed, Thu (at 250 each = 1000). Last 3 days = Thu, Fri, Sat (at 260 each = 780). Total count including Thursday twice = 1780. Actual total = 1530. Thursday counted twice, so 1780 - Thu = 1530, Thu = 250. Correct! The claimed answer is indeed correct.

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