Mathematics Questions on SETS and COMMERCIAL ARITHMETIC

MATHEMATICS S S S

1. In a group of 120 students, 72 play football, 65 play table tennis and 53 play hockey. If 35 of the students play both football and table tennis, 30 play both football and hockey, 21 play both table tennis and hockey and each of the students play at least one of the three games.
a. Draw a Venn diagram to illustrate the information.
b. How many of them play:
i. all the three games?
ii. exactly two or three games?
iii. exactly one of the three games?
iv. football alone?

2. In January 1998, a poultry farmer bought 100 hens at N150.50 each. During the year, she obtained 12,500 eggs which she sold at N125.00 per score. She spent N30,050.00 on feeding and N12,000.00 on drugs for the year. By December 1998, she sold the 80 surviving hens at the rate of N250.00 each. Find her percentage gain or loss.

3. A man wishes to keep some money in a savings deposit at 25% compound interest so that after 3 years he can buy a car for N150,000.00. How much does he need to deposit now?

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