Latest GMAT Aptitude Question SOLUTION: What is the greatest integer x for which 24,300,000,000 / 2x is an integer? 1) 8 2) 9 3) 10 4) 11 5) 12

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(#M40012481) GMAT question Keep an EYE

What is the greatest integer x for which 24,300,000,000 / 2x is an integer?
1) 8
2) 9
3) 10
4) 11
5) 12

Asked In GMAT sathyapriya (11 years ago)

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gopal kumar  (11 years ago)

12 is the correct answer

Is this solution Helpfull? Yes (6) | No (1)  

sathyapriya  (11 years ago)

ANS IS 8 : Because 243 is odd (and actually is 35), this number can be rewritten as 243 * 108 - and because 243 is not divisible by 2, all of the 2s will come from 108. 108 = 28 * 58, and 58 (much like 35) will not produce any factors of 2 of its own. So this number is divisible by 28, making 8 the greatest possible value of x.

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Abhinav Mathur  (10 years ago)

answer is 12
we can write it as 243 x 10^8
by dividing 243 by 12 we get 20.25 and we have 10^8 in multiply, therefore we get 2025 x 10^6.

Is this solution Helpfull? Yes (4) | No (1)  

MANIKANTA SRIRAM  (11 years ago)

12 is the amswer
just substite each option in place of x and check using divisibility property.
when we substitude 12 in place of x we obtain the denominator as 24. the divisibility property of 24 is the num should be divisible by 2,3,4 because their product becomes 24. as the numerator gets divided by all the three numbers 12 is the answer

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santhi   (9 years ago)

12.
24300000000 is divide by 24.

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