Latest Others Aptitude Question SOLUTION: What is the highest power of 5 that divides 90 x 80 x 70 x 60 x 50 x 40 x 30 x 20 x 10?

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What is the highest power of 5 that divides 90 x 80 x 70 x 60 x 50 x 40 x 30 x 20 x 10?

Asked In Others Srishti Sinha (10 years ago)

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Anand Dwivedi  (10 years ago)

Simply if divide all number with 5 than we get reminder as below :
--
90/5 = 18
80/5 = 16
70/5 = 14
60/5 = 12
50/5^2 = 2
40/5 = 8
30/5 = 6
20/5 = 4
10/5 = 2
--
So total highest power will be 9 and 1 add form 50 terms So total will be 10

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baijnath  (7 years ago)

Take LCM of Each Number
90/5=5*2*3*3------------------>here we will get one 5
80/5=5*2*2*2*2--------------->here we will get one 5
70/5=5*2*7--------------___---->here we will get one 5
60/5=5*2*2*3------------------>here we will get one 5
50/5=5*5*2___------------------>here we will get Two 5^2
40/5=5*2*2*2------------------>here we will get one 5
30/5=5*2*3--------------------->here we will get one 5
20/5=5*2*2--------------------->here we will get one 5
10/5=5*2------------------------>here we will get one 5
Here we will get one 5 in each number instead of 50(5*5*2)
So answer is 5^10

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Pranshu Chaurasia  (10 years ago)

Power is 10

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Anjali Verma  (7 years ago)

take hcf of these terms with the divison method .....
first hcf of 70,80 it comes out to be 10
then with 10 take hcf of others . and at last hcf comes out to be 10
so 10 is ans

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