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Four people, Peter, Smith, Jack, and Tom, arrive at the airport. If three people are speaking the truth and only one is lying, who is the first person to arrive at the airport?
Peter: "Tom got here first."
Smith: "Peter arrived later than Tom."
Jack: "Smith is lying."
Tom: "I arrived earlier than Jack."
Albert repays three installments, a, b and c, of a loan that he had taken for buying an electric heater. The total of the first installment and the second installment is $150. The total of the second installment and the third installment is $200. The total of the third installment and thrice the first installment is $250. What is the third installment?
Jack refused to buy a computer offered to him by Sam for $2048. A year later, Sam again offered Jack the same computer for $1280 but Jack refused again. The next year, he again offered Jack the same computer for $800. One year after that, the computer was again offered but Jack did not buy it. The following year, Jack bought the computer from Sam for $312.50. If the rate of discount offered every year were constant, at what price was the computer offered in the fourth year?
In a basketball tournament, a player scored three points in his first match. In the second match, he scored five points more than he scored in the first match. In the third match, he scored five times more points as compared to the first match. The points in the fifth and the sixth matches were thirty five and forty eight points respectively. Calculate the points which the player scored in his fourth match, if all the points scored follow a particular pattern?
A bus travels from Point A to Point E. At Point B, it drops seven passengers and picks up twelve. At Point C, it drops four passengers and picks up one-third of the total number of passengers it picked up at Point B. At Point D, it drops five passengers and picks up double the number it drops. At Point E, it picks up five passengers and drops half the number of passengers it dropped at Point C. If there are twenty passengers in the bus at Point E, how many passengers were there in it at Point A?
|Find the missing number in the above diagram.|
Four friends: A, B, C and D decide to deposit money in a certain bank where money gets doubled every month. At the end of the second month, A withdraws $50 from the bank. At the end of the third month, B withdraws $50 from the bank. At the end of the fourth month, C withdraws $50 from the bank. At the end of the fifth month, D withdraws $50.016 from the bank. After the last withdrawal, their balance in the bank becomes zero. Calculate how much amount the four friends had collectively deposited in the bank?
A man buys a table for $60. After a year, the value of the table has increased to $70 and he decides to sell the table. But a few days later, he regrets his decision to sell the table and buys it again. Unfortunately, he has to pay $80 to get it back. So he loses $10. After another year of owning the table, he finally decides to sell the table for $90. What is the overall profit or loss the man makes?