Multiple choice

Passage

Directions: The table given below shows the number of students who were absent and the percentage of students who were present in the two given examinations from five different schools. The table also shows the percentage of students who were present in the Biology and Physics examinations. School Absent Present (in %) Biology (in %) Physics (in %) K 83,300 65 32 68 L 1,01,520 60 29 71 M 1,13,520 40 30 70 N 60,830 65 42 58 O 24,003 55 25 75

What is the average of the number of the students who were present in Physics examination from schools N, K and L?

  1. 92,946

  2. 84,632

  3. 9,74,365

  4. 4,67,894

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A Correct answer
Explanation

First, calculate the number of students present for each school: K (83,300 absent, 65% present means 83,300 is 35% of total, so total is 238,000; present is 154,700), L (1,01,520 absent, 60% present means 1,01,520 is 40% of total, so total is 253,800; present is 152,280), N (60,830 absent, 65% present means 60,830 is 35% of total, so total is 173,800; present is 112,970). Next, find the number of students present in Physics: K (68% of 154,700 = 105,196), L (71% of 152,280 = 108,118.8), N (58% of 112,970 = 65,522.6). The average is (105,196 + 108,118.8 + 65,522.6) / 3 = 92,945.8, which rounds to 92,946.