What is the greatest integer x for which $$\frac{24,300,000,000}{2^x}$$ is an integer?
A. 8
B. 9
C. 10
D. 11
E. 12
The OA is A .
How can I find the correct answer? Should I try number by number? Experts, may you help me?
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What is the greatest integer x for which
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GMATGuruNY
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(24,300,000,000)/(2^x)VJesus12 wrote:What is the greatest integer x for which $$\frac{24,300,000,000}{2^x}$$ is an integer?
A. 8
B. 9
C. 10
D. 11
E. 12
The OA is A .
How can I find the correct answer? Should I try number by number? Experts, may you help me?
= (243 * 10�)/(2^x)
= (243 * 2� * 5�)/(2^x).
The values in blue indicate that the greatest possible value for x is 8.
The correct answer is A.
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VJesus12 wrote:What is the greatest integer x for which $$\frac{24,300,000,000}{2^x}$$ is an integer?
A. 8
B. 9
C. 10
D. 11
E. 12
The OA is A .
How can I find the correct answer? Should I try number by number? Experts, may you help me?
Simplifying the numerator, we have:
243 x 10^8 = 243 x 2^8 x 5^8
Therefore, we see that the maximum value of x is 8.
Answer: A
