Logical Reasoning( Week 38 Evaluation) 1. Rene, Jay, Michael, and Steve have jobs as a doctor, plumber, carpenter, and teacher but not necessarily in the above order. At a party a number of years ago they made predictions.
1) Rene said that Jay would have a career as a carpenter.
2) Jay said that Steve would not be a plumber.
3) Steve predicted that Garry Kasparov would win the World Chess Championships the next year.
4) Michael predicted that Rene would not be a doctor.
The only person that predicted correctly was the one that became a carpenter. Please match the career with each person. 2. Among three friends Kevin, Nancy and David, only one person can drive. Kevin said, "I can drive." Nancy said, "I can't drive." David said, "Kevin can't drive." If only one person told the truth, who can drive? 3. Draw 10 lines across a circle, what is the greatest number of regions that the interior of the circle can be divided? 4. There were52 students in a club. They were choosing a president from 5 candidates A, B, C, D, and E. Each student (including each candidate) voted for a candidate she/he favored. Candidate A received the most votes with 23 votes, candidate B was the only one who received the second most votes. Candidate C and D got the same number of votes. Candidate E was the only one who received the least votes at 6 votes. How many votes did candidate B receive? 5. Which of the following numbers could be the product of a 2-digit number and a 2-digit number? 6. There were 105 students in a club. They were choosing a president from 5 candidates A, B, C, D, and E. Each student (including each candidate) voted for the candidate she/he favored. Candidate A received the most votes of 26 votes, candidates B and C received the same second most votes. Candidate E was the only one who received the least number of 5 votes. At least, how many votes did candidate D receive? 7. There are four family members with different ages. The sum of their ages is 69 and there are three square numbers in the four age numbers. Fifteen years later, there will still be three people whose ages are square numbers. How old will be the youngest among the four family members fifteen years later? 8. Hillary had just enough money to buy 15 pens and 3 notebooks. She could buy exactly 8 notebooks with the money. Exactly how many pens could she buy with the money? 9. The length and width of a rectangle are prime numbers. The length is larger than width, and the perimeter is 60 units. What is the largest area of the rectangle in square units? 10. 7 oranges and 6 bananas together cost as much as 12 oranges and 27 plums. One orange costs as much as 4 plums. How many bananas cost the same as one plum? |