passwella.
Menu

JAMB Mathematics 1999 Question 2

Question 2

Sets

A group of market women sell at least one of yam, plantain and maize. 12 of them sell maize, 10 sell yam and 14 sell plantain, 5 sell plantain and maize, 4 sell yam and maize, 2 sell yam and plantain only while 3 sell all the three items. How many women are in the group?

  1. A.25
  2. B.19
  3. C.18
  4. D.17
Show the answer and explanation

Answer: A (25)

Explanation

Fill a Venn diagram from the centre: all three 3; plantain and maize only 2; yam and maize only 1; yam and plantain only 2. Then yam only 4, plantain only 7, maize only 6. Total = 3 + 2 + 1 + 2 + 4 + 7 + 6 = 25.