Latest Elitmus Aptitude Question SOLUTION: Q. The product of two nonzero numbers is 1,000,000,000. What are the numbers ?

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Q. The product of two nonzero numbers is 1,000,000,000. What are the numbers ?

Asked In Elitmus ranjeet singh (10 years ago)

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Read Solution (13) :

RAKESH  (10 years ago)

1,000,000,000 =(1000)^3=(125*8)^3=(125^3)*(8^3)=1953125*512
so two nonzero numbers are 1953125 & 512

Is this solution Helpfull? Yes (142) | No (1)  

asdf  (10 years ago)

we have to find the two non zero numbers having product 10^9.
as 2^1*5^1=10^1
2^2*5^2=10^2
2^3*5^3=10^3
" " " " " "
" " " " " "
2^n*5^n=10^n

therefore ans : 2^9*5^9

Is this solution Helpfull? Yes (19) | No   

mahima srivastava  (10 years ago)

500000000*2

Is this solution Helpfull? Yes (5) | No (43)  

Ankit Sharma  (10 years ago)

1,000,000,000= (10)^9= (2*5)^9= (2)^9*(5)^9=512*1953125
so will be the two non zero no.s is 512 and 1953125

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bikash kumar  (10 years ago)

if you don't have any option then there are multiple answers like , 10000*100000, 1000*1000000....

Is this solution Helpfull? Yes (3) | No (2)  

Arnab Halder  (10 years ago)

@ Rakesh SALUTE man...... Thanks...... Thank u for helping.... #respect..

Is this solution Helpfull? Yes (1) | No (2)  

sasikumar  (10 years ago)

They asked just 2 non zero numbers,then y they won't be 500000000 and 2,as mahima told???????

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SHISHR KUMAR PANDEY  (10 years ago)

5^9*2^9
as 5^2*2^2 results 2 zeros same for 3 zeros and finally for 9 zeros

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Shubham Saxena  (10 years ago)

non-zero means the number should not be 0, as i always understand from this statement.

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haris  (9 years ago)

1,000,000,000=(1000)^3=(5*200)^3=(5*5*40)^3=(5*5*5*8)^3=(125*8)^3=125^3 * 8^3=1953125*512

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chandra prakash  (9 years ago)

just take factors of 1,000,000,000. it provides 2^9*1953125 or 512*1953125

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shreya  (9 years ago)

We have find two non zero number :
if i have 10 = 2*5
if i have 100 = 10 * 10 = 2*5*2*5 ( we can write 10*10) = 2^2*5^2
if i have 1000 = 10*10*10 = 2*5* 2*5*2*5 ( we can write 10*10 * 10)= 2^3 *5^3
.
.
.
so i have 1,000,000,000. = 10 * 10* 10*10*10*10*10*10*10 = 2^9 * 5^9

2^9 = 512 and 5^9 = 1953125 ,both are non zero
1953125 *512 = 1,000,000,000.

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Rakesh  (8 years ago)

(2*5)^9=10^9 i.e. 1000000000
thus ans 2^9 n 5^9

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