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dimri10
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dimri10
1. If k and (0.025*0.0025*0.00025*10^k
) are integers, what is the least possible value of k? (A) 10
(B) 12
(C) 13
(D) -10
(E) -12


For this particular problem I prefere to use fractions
25/1000 * 25/10000 * 25/ 100000 * 10^k = 15625/1 000 000 000 000 * 10^k
To assure that 15625/1 000 000 000 000 is an integer we need to cancel all the zeros in the denominator. Thus the smallest possible value for k is 12 (B)
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Spidy001
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My answer is A.

25*(10^-3) *25*(10^-4)*(10^k)

=625*(10^(k-7)).


for this number to be a integer k-7 has to be 1 2 3 4 .....

=> k has to 8 or 9 or 10 or 11

so with the answer options we have , least possible value of k is 10

Answer is A.
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Spidy001
My answer is A.

25*(10^-3) *25*(10^-4)*(10^k)

=625*(10^(k-7)).


for this number to be a integer k-7 has to be 1 2 3 4 .....

=> k has to 8 or 9 or 10 or 11

so with the answer options we have , least possible value of k is 10

Answer is A.
You have skipped one part in your calculcation.
25*(10^-3) x 25*(10^-4) x 25* (10^-5)
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piyatiwari
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Simplifying,

625*[10^(K-12)]

(B) 12



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