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2013/06/26

Trick Math Olympiad Smart Way

Trick Math Olympiad smart way best solution to learn and practice working on a variety of questions that explore the ways to be a winner in the contest math Olympiad..

Every 7 days, a newspaper man drops a weekly magazine at margareth's house. A milkman goes there every 6 days. last October 1st, the two man want to margaret's house. When (date and month) will they go there again on the same day?
Trick Math :
Least common multiple of 6 and 7 is 42. if both the seller is dated 1st October margaret's house, then 42 days later come together on the  November 12th.

A bus can carry 30 passengers, a  minibus 8  passengers, and a train car 52 passengers. at least how many train car needed to carry passengers from 6 full buses and 13 full minibuses?
Trick Math :
6 full bases = 6 X 30 = 180 passengers
13 full minibuses = 13 X 8 = 104 passengers
Train = 180 + 104 : 52 = 5,46  So, it takes a train to carry passengers from 6 full bus and minibus full 13 approximately 6 train.

Machine A cost $500 and machine B cost $1000. we need $10 per day to run machine A, and $5 per day to run machine B. After running how many days will the total cost for both machines be equal?
Trick Math :
for example, the overall costs for both the machine it will be the same after running x days, then
500 + 5x + 10x = 1000
5x = 500
  x = 100 So, the overall cost of the machines that will be the same after running 100 days.

How many integers between 999 and 2001 are divisible 5?
 Trick Math :
arithmetic sequence: 1000,1005,1010, ......., 2000.
2000 = 1000 + (n - 1) X 5
5 (n -1) = 2000 to 1000
     n - 1 = 200
           n = 201 + 1 = 201
 

A watermelon of 1 kg contains 93% water. After being left under the sun for a while is water contain went down to 90%. What is the weight of the watermelon now?
Trick Math :
100/10 X 70 = 700 grams. 

Use all digits 2,3,4,5,7 and 8 exactly once to get two numbers P and Q . Both P and Q contain three digits and that P - Q is positive. Find the smallest value of P - Q.
Trick Math :
Numbers P and Q have different 1. Numbers to two of P should be smaller than the second number Q. choose 2 and 8 respectively as a second number of P and Q. This argument is used for the third number, we chose the number 3 and 7 number respectively as a third of P and Q. Finally, we chose 5 and 4 as a first number of P and Q. This gives P = 523 and Q = 487, so P - Q 523-487 = 36.

question was given only as an illustration and suggestion from Trick Math Olympiad Smart Way

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