MATHS QUIZ NO. 30 LOGIC
Posted: Sat Sep 13, 2008 2:01 pmQ1 Matthew Shelborn frequently has to travel for his company, which gives him a chance to meet many people from all parts of the USA. In April, Matthew flew to five different US cities on business and he flew a different airline each time. During each trip he chatted with the person next to him, and no two people he talked to were in the same profession.
From the information, can you determine the date Matthew made each flight (each was on a Monday exactly one week apart starting on April 2nd), the airline he flew, his destination, and the profession of the person who sat next to him on each flight?
1. Three consecutive flights were, in order from first to last, the flight Matthew took with WTA Airways, the flight where he sat next to the teacher, and the flight he took to Atlanta.
2. Matthew sat beside the sports coach on a flight some time earlier in the month than the one he took to Seattle.
3. The week he flew Air Express was some time earlier in the month than the trip to Boston, which was some time earlier in the month than the trip where he sat next to the ballet dancer.
4. It wasn't on the trip to San Diego where Matthew sat next to the doctor.
5. Matthew didn't fly Skyways on his trip to Seattle, and he didn't fly WTA Airways on the trip where he sat next to the sports coach.
6. Atlanta was not Matthew's destination on the trip where he made the acquaintance of the ballet dancer.
7. The Fly America flight was exactly two weeks before the flight where Matthew passed the time chatting with the attorney.
Dates: April 2nd, April 9th, April 16th, April 23rd, April 30th
Airline: Air Express, Fly America, MidUSA Air, Skyways, WTA Airways
Destination: Atlanta, Boston, Chicago, San Diego, Seattle
Seat Mate: Attorney, Ballet Dancer, Doctor, Sports Coach, Teacher
APRIL 2 - WTA AIRWAYS - CHICAGO - DOCTOR
APRIL 9 - FLY AMERICA - SAN DIEGO - TEACHER
APRIL 16 - AIR EXPRESS - ATLANTA - SPORTS COACH
APRIL 23 - SKYWAYS - BOSTON - ATTORNEY
APRIL 30 - MIDUSA AIR - SEATTLE - BALLET DANCER
Q2 Once upon a time, and old lady went to sell her vast quantity of eggs at the local market.
When asked how many she had, she replied:
Son, I can't count past 100 but I know that.
If you divide the number of eggs by 2 there will be one egg left.
If you divide the number of eggs by 3 there will be one egg left.
If you divide the number of eggs by 4 there will be one egg left.
If you divide the number of eggs by 5 there will be one egg left.
If you divide the number of eggs by 6 there will be one egg left.
If you divide the number of eggs by 7 there will be one egg left.
If you divide the number of eggs by 8 there will be one egg left.
If you divide the number of eggs by 9 there will be one egg left.
If you divide the number of eggs by 10 there will be one egg left.
Finally. If you divide the Number of eggs by 11 there will be NO EGGS left!
How many eggs did the old lady have?
25,201 EGGS
Q3 What number comes next in this sequence:
1/1 3/2 7/5 17/12 41/29 ==?==
99 / 70
Q4 After a local art theft, six suspects were being interviewed. Below is a summary of their statements. Police know that exactly four of them told one lie each and all of the other statements are true. From this information can you tell who committed the crime?
Alan said:
It wasn't Brian
It wasn't Dave
It wasn't Eddie
Brian said:
It wasn't Alan
It wasn't Charlie
It wasn't Eddie
Charlie said:
It wasn't Brian
It wasn't Freddie
It wasn't Eddie
Dave said:
It wasn't Alan
It wasn't Freddie
It wasn't Charlie
Eddie said:
It wasn't Charlie
It wasn't Dave
It wasn't Freddie
Freddie said:
It wasn't Charlie
It wasn't Dave
It wasn't Alan
CHARLIE COMMITED THE CRIME
Q5 Five patients, all potential blood donors, are waiting in the doctor's surgery and are sitting on the bench from left to right. Can you determine the position of each patient along with their blood group, age, height and weight? Their ages are 5, 9, 30, 46 and 60. Their heights are 40, 48, 60, 65 and 74. Their weights are 40, 75, 96, 125 and 165.
The person on the far right is 37 years older than Jason, and is 60 inches tall.
Jason weighs 56 pounds more than his height.
Alan weighs 75 pounds and is 74 inches tall.
John is type AB and weighs 56 pounds less than Jason.
The person in the centre is 9 years old, is blood type AO and weighs 96 pounds.
Adam, who is the first, is 65 inches tall, and weighs 100 pounds more than his height.
The person who is blood type O, is 25 years older than the person to the left of them.
Kevin is 60 years old.
The person who is blood type A, is 55 years younger than Kevin and is not next to the person who is type AO.
The person who is next to the 9 year old but not next to the person who is 65 inches tall, is blood type B, and weighs 125 pounds.
Name..........Position........Blood........Age........Height.........Weight
Adam.............1..................A..............5.............65................165
Alan...............2.................O..............30............74................75
Jason.............3.................AO.............9.............40................96
Kevin.............4..................B..............60............48................125
John..............5..................AB............46............60................40
From the information, can you determine the date Matthew made each flight (each was on a Monday exactly one week apart starting on April 2nd), the airline he flew, his destination, and the profession of the person who sat next to him on each flight?
1. Three consecutive flights were, in order from first to last, the flight Matthew took with WTA Airways, the flight where he sat next to the teacher, and the flight he took to Atlanta.
2. Matthew sat beside the sports coach on a flight some time earlier in the month than the one he took to Seattle.
3. The week he flew Air Express was some time earlier in the month than the trip to Boston, which was some time earlier in the month than the trip where he sat next to the ballet dancer.
4. It wasn't on the trip to San Diego where Matthew sat next to the doctor.
5. Matthew didn't fly Skyways on his trip to Seattle, and he didn't fly WTA Airways on the trip where he sat next to the sports coach.
6. Atlanta was not Matthew's destination on the trip where he made the acquaintance of the ballet dancer.
7. The Fly America flight was exactly two weeks before the flight where Matthew passed the time chatting with the attorney.
Dates: April 2nd, April 9th, April 16th, April 23rd, April 30th
Airline: Air Express, Fly America, MidUSA Air, Skyways, WTA Airways
Destination: Atlanta, Boston, Chicago, San Diego, Seattle
Seat Mate: Attorney, Ballet Dancer, Doctor, Sports Coach, Teacher
APRIL 2 - WTA AIRWAYS - CHICAGO - DOCTOR
APRIL 9 - FLY AMERICA - SAN DIEGO - TEACHER
APRIL 16 - AIR EXPRESS - ATLANTA - SPORTS COACH
APRIL 23 - SKYWAYS - BOSTON - ATTORNEY
APRIL 30 - MIDUSA AIR - SEATTLE - BALLET DANCER
Q2 Once upon a time, and old lady went to sell her vast quantity of eggs at the local market.
When asked how many she had, she replied:
Son, I can't count past 100 but I know that.
If you divide the number of eggs by 2 there will be one egg left.
If you divide the number of eggs by 3 there will be one egg left.
If you divide the number of eggs by 4 there will be one egg left.
If you divide the number of eggs by 5 there will be one egg left.
If you divide the number of eggs by 6 there will be one egg left.
If you divide the number of eggs by 7 there will be one egg left.
If you divide the number of eggs by 8 there will be one egg left.
If you divide the number of eggs by 9 there will be one egg left.
If you divide the number of eggs by 10 there will be one egg left.
Finally. If you divide the Number of eggs by 11 there will be NO EGGS left!
How many eggs did the old lady have?
25,201 EGGS
Q3 What number comes next in this sequence:
1/1 3/2 7/5 17/12 41/29 ==?==
99 / 70
Q4 After a local art theft, six suspects were being interviewed. Below is a summary of their statements. Police know that exactly four of them told one lie each and all of the other statements are true. From this information can you tell who committed the crime?
Alan said:
It wasn't Brian
It wasn't Dave
It wasn't Eddie
Brian said:
It wasn't Alan
It wasn't Charlie
It wasn't Eddie
Charlie said:
It wasn't Brian
It wasn't Freddie
It wasn't Eddie
Dave said:
It wasn't Alan
It wasn't Freddie
It wasn't Charlie
Eddie said:
It wasn't Charlie
It wasn't Dave
It wasn't Freddie
Freddie said:
It wasn't Charlie
It wasn't Dave
It wasn't Alan
CHARLIE COMMITED THE CRIME
Q5 Five patients, all potential blood donors, are waiting in the doctor's surgery and are sitting on the bench from left to right. Can you determine the position of each patient along with their blood group, age, height and weight? Their ages are 5, 9, 30, 46 and 60. Their heights are 40, 48, 60, 65 and 74. Their weights are 40, 75, 96, 125 and 165.
The person on the far right is 37 years older than Jason, and is 60 inches tall.
Jason weighs 56 pounds more than his height.
Alan weighs 75 pounds and is 74 inches tall.
John is type AB and weighs 56 pounds less than Jason.
The person in the centre is 9 years old, is blood type AO and weighs 96 pounds.
Adam, who is the first, is 65 inches tall, and weighs 100 pounds more than his height.
The person who is blood type O, is 25 years older than the person to the left of them.
Kevin is 60 years old.
The person who is blood type A, is 55 years younger than Kevin and is not next to the person who is type AO.
The person who is next to the 9 year old but not next to the person who is 65 inches tall, is blood type B, and weighs 125 pounds.
Name..........Position........Blood........Age........Height.........Weight
Adam.............1..................A..............5.............65................165
Alan...............2.................O..............30............74................75
Jason.............3.................AO.............9.............40................96
Kevin.............4..................B..............60............48................125
John..............5..................AB............46............60................40
