Logical Reasoning( Week 38 Evaluation) 1. Nick, Joe, Andy, and Larry 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) Nick said that Joe would have a career as a carpenter.
2) Joe said that Larry would not be a plumber.
3) Larry predicted that Garry Kasparov would win the World Chess Championships the next year.
4) Andy predicted that Nick 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 Alice, George and Anne, only one person can drive. Alice said, "I can drive." George said, "I can't drive." Anne said, "Alice can't drive." If only one person told the truth, who can drive? 3. Draw 8 lines across a circle, what is the greatest number of regions that the interior of the circle can be divided? 4. There were53 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 28 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 5 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 109 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 28 votes, candidates B and C received the same second most votes. Candidate E was the only one who received the least number of 8 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 oldest among the four family members fifteen years later? 8. Susan had just enough money to buy 10 notebooks and 3 folders. She could buy exactly 8 folders with the money. Exactly how many notebooks 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 56 units. What is the largest area of the rectangle in square units? 10. 4 plums and 5 apples together cost as much as 8 plums and 15 bananas. One plum costs as much as 4 bananas. How many apples cost the same as one banana? |