On one side of a coin there is the number 0 and on the other side the number 1. What is the probability that the sum of three coin tosses will be 2?
Answer(s): D
The coin is tossed three times therefore there are 8 possible outcomes (2 x 2 x 2). We are interested only in the three following outcomes:(0,1,1), (1,0,1), (1,1,0).The probability requested is 3/8.
The average length of 6 snakes is 80 cm. If the average length of one third of the snakes is 70 cm, what is the average of the other snakes?
Answer(s): B
The length of all six snakes is 6 x 80 = 480 cm.Third of the snakes are by average 70 cm long therefore their sum is 140. The sum of the length for the remainder of the snakes is 480 – 140 = 340. 340 / 4 snakes is 85 cm.
There are ten players in the basketball team. If the average height of the players is 170 cm, what will be the new average height if a 192 cm player will join the team?
Answer(s): C
The new player is (192 – 170 = 22 cm) above average. Dividing the extra height among 11 players is 2 cm per player, thus the new average height is (170 + 2 = 172 cm).
The grade point average of one third of the classroom is 69; the grade point average of the rest is 60. What is the grade point average of the whole class?
Because the number of people in the classroom is unknown, take 3. One person has 69 and the rest have 60. Their sum is 189.189/3 students is 63.
In the Hillside summer camp there are 50 children. 90% of the children are boys and the rest are girls. The camp administrator decided to make the number of girls only 5% of the total number of children in the camp. How many more boys must she bring to make that happen?
Answer(s): A
The total number of girls in the camp is (0.1 x 50 = 5). In order for 5 girls to be 5% there has to be a total number of 100 kids in the camp therefore the camp’s administrator should bring 50 more boys.
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