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Question

Out of 200 students in a school, 100 like photography, 70 like gardening and 80 like horse riding. 28 like photography and gardening, 20 like gardening and horse riding and 16 like photography and horse riding. 10 like none of the three activities. How many like photography or gardening but not horse riding?
  1. 102
  2. 114
  3. 106
  4. 110


Solution

The correct option is D 110


Let 'x' like all three activities.
Then, 100 + 22 + x + 20 - x + 44 + x = 200 - 10 = 190
x = 4
Required value = 60+24+26 = 110.

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