Alex has a string with nine fixed dices with one number written on each of them. The numbers are in the order 9 8 7 6 5 4 3 2 1. He has another set of dices with plus sign on them and another with minus signs. He has to place the dices with signs in between the ones with numbers so that he gets 100 as the answer. He can’t change the order of the numbered dices. What is the least number of dices with signs he need to get 100?
Given : Alex has a string with nine fixed dices with one number written on each of them. The numbers are in the order 9 8 7 6 5 4 3 2 1.
He has another set of dices with plus sign on them and another with minus signs.
He has to place the dices with signs in between the ones with numbers so that he gets 100 as the answer.
He can’t change the order of the numbered dices.
To Find : What is the least number of dices with signs he need to get 100
Solution:
One solution :
98 + 7 – 6 + 5 – 4 + 3 – 2 – 1 = 100
3 (+ Dice)
4 ( – Dice)
Another solution:
98 + 7 + 6 – 5 – 4 – 3 + 2 – 1 = 100
3 (+ Dice)
4 ( – Dice)
one more way
9 – 8 + 76 + 54 – 32 + 1 = 100
3 (+ Dice)
2 ( – Dice)
it gives minimum sign dice 5
5 is the least number of dices with signs he need to get 100
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