2.There
is a number that is 4 times the sum of its digits. What is this
number?
Answer
3.
A tennis championship is played on a knock-out basis, i.e., a player
is out of the tournament when he loses a match. (a) How many players
participate in the tournament if 127 matches are totally played?
(b) How many matches are played in the tournament if 123 players
totally participate?
Answer
4.
A rich merchant had collected many gold coins. He did not want anybody
to know about them. One day, his wife asked, "How many gold coins
do we have?" After pausing a moment, he replied, "Well! If I divide
the coins into two unequal numbers, then 57 times the difference
between the two numbers equals the difference between the squares
of the two numbers." The wife looked puzzled. Can you help the merchant's
wife by finding out how many gold coins they have?
Answer
5.
Ronald: "When I add 2 times my age 2 years from now to 3 times my
age 3 years from now, I get 6 times my current age. How old will
I be 2 years from now?"
Answer
6.
The drive from Oakland to Pinewood was a tricky one. I covered the
uphill distance of 70 miles at 28 miles per hour. The return journey
from Pinewood to Oakland was downhill, and I managed to drive at
70 miles per hour. What was my average speed for the entire journey?
Answer
7.
A snake slides through a long cylindrical hole in the ground at
5 centimetres per second. The hole is 5.15 metres in length. The
snake takes 13 seconds to enter the hole. (a) What is the length
in centimetres of the snake ? (b) How many seconds does the snake
take to exit the hole after entering it?
Answer
8.
Grandpa: "My grandson is about as many days as my son is weeks,
and my grandson is as many months as I am in years. My grandson,
my son and I together are 100 years. Can you tell me my age in years?"
Answer
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