TheGoodGuy
9th September 2005, 23:12
3 brain teasers of varying difficulty, I'm afraid, this time folks...
RULES: No blatant guessing....only answers with explanations/reasoning will be responded to.
Here goes...and good luck....
1. Mr. Black, Mr. White and Mr. Grey were exchanging messages in an internet chat room. They were wearing a black suit, a white suit and a grey suit, not necessarily in that order.
Mr. Grey sent a message, "We all are wearing suits that are of the same colour as our names but none of us is wearing a suit that is the same colour as his name."
On that the person wearing the white suit replied, "What difference does that make?"
Can you tell what colour suit each of the three men had on?
ANSWER
Mr. Grey- black suit
Mr. White- grey suit
Mr. Black- white suit
Mr. Grey couldn't have had the white suit because the man with the white suit responded to something that he had said. He also couldn't have had the grey suit because no suit matched the name of the person wearing it. So, Mr. Grey must have had the black suit. That leaves Mr. White and Mr. Black with the white suit and the grey suit. Mr. White couldn't be wearing the white suit because no suits matched the name of the person wearing them. He must have been wearing the grey suit. That leaves Mr. Black wearing the white suit.
2. The Vice Girls are a new pop group from cities around the UK. Their nicknames are Old Vice (the eldest), Cold Vice (never gives anything away), Gold Vice (all rings and bangles), Bold Vice (the leader), and Told Vice (the youngest, at 18, and always bossed around).
Mary comes from Edinburgh and is not best friends with Karen, who is from London. The girl from Cardiff is 20, a year older than the girl addicted to jewellery. Bold Vice and Gold Vice are the best of friends. Laura is 3 years older than Jane. Although the girls are all different ages the eldest is still only 22. Nadia is younger than Cold Vice. Mary is 2 years older than the leader who is older than the girl from Manchester.
What is the name, nickname & age of the girl from Belfast?
ANSWER
Old Vice - Mary - Edinburgh - 22
Cold Vice – Laura - Belfast - 21
Bold Vice – Nadia - Cardiff - 20
Gold Vice – Karen - London - 19
Told Vice – Jane - Manchester - 18
The youngest is 18 and the oldest is 22, and they all have different ages. So obviously there is one from each age between 18 and 22.
The girl from Cardiff is 20, and Gold Vice is 19 (mentioned in 2nd sentence).
Bold Vice must be 20 and Mary must be 22, because Mary is 2 years older than Bold Vice, and Bold Vice must be older than at least 1 person. We now know that Mary is Old Vice, and is from Edinburgh.
Laura is 21 and Jane is 18, because we know that Mary is the oldest, and this is the only other way someone can be 3 years older than another. Jane is Told Vice (the youngest).
Laura must be Cold Vice (no other nicknames left) and the only names left are Nadia and Karen. We already know that the 20 yr old is from Cardiff, so the one remaining must be Karen from London.
Process of elimination reveals that Nadia is Bold Vice.
All that is left is the native cities of Laura and Jane. The last sentence tells us that Bold Vice is older than the girl from Manchester, so Jane must be from Manchester. That leaves Laura, she must be from Belfast.
3. What is the 5-digit number in which the sum of the first two digits is one less than the third, the third is double the fourth, the fourth is double the last, the third is the product of the fourth and fifth, the second is five more than the first, and the first is one-eighth of the third and also one-quarter of the fourth?
ANSWER
16842
Being as each digit must be a whole number, if the first is 1/8 the third, the first must be 1 and the third 8, any other combination would include double digits.
1=1/4 of digit 4, establishing the first digit as 1 makes the forth digit 4
If the fourth is double the last digit, the last digit is 2
If the second is 5 more than the first, the second is 6
Ada.
RULES: No blatant guessing....only answers with explanations/reasoning will be responded to.
Here goes...and good luck....
1. Mr. Black, Mr. White and Mr. Grey were exchanging messages in an internet chat room. They were wearing a black suit, a white suit and a grey suit, not necessarily in that order.
Mr. Grey sent a message, "We all are wearing suits that are of the same colour as our names but none of us is wearing a suit that is the same colour as his name."
On that the person wearing the white suit replied, "What difference does that make?"
Can you tell what colour suit each of the three men had on?
ANSWER
Mr. Grey- black suit
Mr. White- grey suit
Mr. Black- white suit
Mr. Grey couldn't have had the white suit because the man with the white suit responded to something that he had said. He also couldn't have had the grey suit because no suit matched the name of the person wearing it. So, Mr. Grey must have had the black suit. That leaves Mr. White and Mr. Black with the white suit and the grey suit. Mr. White couldn't be wearing the white suit because no suits matched the name of the person wearing them. He must have been wearing the grey suit. That leaves Mr. Black wearing the white suit.
2. The Vice Girls are a new pop group from cities around the UK. Their nicknames are Old Vice (the eldest), Cold Vice (never gives anything away), Gold Vice (all rings and bangles), Bold Vice (the leader), and Told Vice (the youngest, at 18, and always bossed around).
Mary comes from Edinburgh and is not best friends with Karen, who is from London. The girl from Cardiff is 20, a year older than the girl addicted to jewellery. Bold Vice and Gold Vice are the best of friends. Laura is 3 years older than Jane. Although the girls are all different ages the eldest is still only 22. Nadia is younger than Cold Vice. Mary is 2 years older than the leader who is older than the girl from Manchester.
What is the name, nickname & age of the girl from Belfast?
ANSWER
Old Vice - Mary - Edinburgh - 22
Cold Vice – Laura - Belfast - 21
Bold Vice – Nadia - Cardiff - 20
Gold Vice – Karen - London - 19
Told Vice – Jane - Manchester - 18
The youngest is 18 and the oldest is 22, and they all have different ages. So obviously there is one from each age between 18 and 22.
The girl from Cardiff is 20, and Gold Vice is 19 (mentioned in 2nd sentence).
Bold Vice must be 20 and Mary must be 22, because Mary is 2 years older than Bold Vice, and Bold Vice must be older than at least 1 person. We now know that Mary is Old Vice, and is from Edinburgh.
Laura is 21 and Jane is 18, because we know that Mary is the oldest, and this is the only other way someone can be 3 years older than another. Jane is Told Vice (the youngest).
Laura must be Cold Vice (no other nicknames left) and the only names left are Nadia and Karen. We already know that the 20 yr old is from Cardiff, so the one remaining must be Karen from London.
Process of elimination reveals that Nadia is Bold Vice.
All that is left is the native cities of Laura and Jane. The last sentence tells us that Bold Vice is older than the girl from Manchester, so Jane must be from Manchester. That leaves Laura, she must be from Belfast.
3. What is the 5-digit number in which the sum of the first two digits is one less than the third, the third is double the fourth, the fourth is double the last, the third is the product of the fourth and fifth, the second is five more than the first, and the first is one-eighth of the third and also one-quarter of the fourth?
ANSWER
16842
Being as each digit must be a whole number, if the first is 1/8 the third, the first must be 1 and the third 8, any other combination would include double digits.
1=1/4 of digit 4, establishing the first digit as 1 makes the forth digit 4
If the fourth is double the last digit, the last digit is 2
If the second is 5 more than the first, the second is 6
Ada.