QUESTIONS AND ANSWERS (GRADED
A+)
John, Kate and Lenny just came back from trips to the following countries:
Mauritania, Nepal, Oman, Peru and Qatar.
1. Each country was visited by at least one of the travellers.
2. Each traveller visited either two or three different countries.
3. Only one traveller visited Qatar.
4. Every traveller who visited Mauritania went to Nepal as well.
5. A traveller who visited Qatar did not visit Peru.
6. John visited all of the countries Kate did.
If Kate visited three countries, then which one of the following must be true? -
ANSWER-John Travelled to Peru
If Kate visited three countries, it means that John visited exactly the same countries - no
more (second condition) and no less (last condition). According to the last condition, if
Kate had visited Qatar, John would have had to visit there too. However, this contradicts
the third condition. Therefore we conclude that Kate did not visit Qatar and, therefore,
neither did John, which leaves Lenny. Whoever visited Qatar could not have been to
Peru as well (fifth condition); therefore it must have been Kate and John who visited
Peru. Answer choice A states exactly that.
A sportswear store offers various brands of shoes for sale.
Each salesperson in the store receives a base salary of 80 dollars per workday and can
receive an additional bonus based on sales.
For certain types of sales, a special tax deduction from the salesperson's paycheck is
made, as follows:
1. All sales above 155 $.
2. All sales above 90 $, paid with a credit card.
3. All sales paid with Bitcoins.
Which of the sales below is subjected to tax deduction?
$87 paid with a credit card
$120 paid in cash
$150 paid in a debit card
$72 paid with bitcoin
$90 paid with a credit card - ANSWER-$72 paid with bitcoin
It is the only answer that meets the criteria written above; all sales paid with Bitcoins are
prone to a special tax deduction. Therefore, a $72 sale paid with Bitcoins is included.
, •Note that a $90 sale paid with a credit card is not the correct answer since the rule
refers to all sales above $90 paid with a credit card.
Five bears - Jinan, Knot, Lee, Mushu, and Nee-Hau - are kept in three adjacent rooms
numbered 1-3 from left to right.
1.There is at least one bear in each room.
2.The knot is in a room to the left of Lee's.
3.Mushu and Nee-Hau are not kept in the same room.
4.Either Mushu or Jinan, but not both, are kept in room 2.
5.Nee-Hau is kept in room 3.
A sixth bear, Osami, is brought into either room 2 or 3.
If there are now two bears in each room, which one of the following must be true?
Knot is kept in room 1
Jinan is kept in room 2
Mushu is kept in room 2
Osami is kept in room 3
Lee is kept in room 3 - ANSWER-Knot is kept in room 1
Review the facts below.
1.Tim lives in a big apartment.
2.Abby lives in a small apartment.
3.There are no big apartments in Tinyville.
4.Small apartments have one bedroom.
5. Based on the information above,
which of the following MUST be true?
Tim lives in Tinyville
Abby lives in Tinyville
Big apartment have one bedroom
Abby's apartment has one bedroom - ANSWER-Abby's apartment has one bedroom
An art shop sells art supplies:
A tube of paint costs $1.50 A tube of paint covers 2 square feet of canvas.
Canvasses are sold small or large: 1 feet by 1,5 feet or 2 feet by 3 feet. The difference
in cost of the two canvasses are relative to their size.
A beginners package discount consisting of one small canvas, one large canvas and
four tubes of paint costs $22.
A beginners package discount is $4 cheaper than buying the art supplies separately.
Paint is not discounted in a beginners package.
Statement: The cost of a separate large canvas is $14 - ANSWER-The statement is
false
The separate products of the beginners package cost $26 (22+4) together.
The two canvases without the four tubes of paint cost $20 together (26 - 4x1.50). The
large canvas is four times as expensive as the small canvas (1,5 square feet vs 6