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If a, b are integers and ab=8, which of the following is the smalle
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14 Jul 2016, 21:33
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If a, b are integers and ab=8, which of the following is the smallest possible value of ab? A. 16 B. 0 C. 16 D. 7 E. 40 *An answer will be posted in 2 days.
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Re: If a, b are integers and ab=8, which of the following is the smalle
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14 Jul 2016, 21:49
The value will be lowest when a= 4 and b= 4>  4  4 = 8 (an)min = 4*4 = 16 Hence A. Sent from my A114 using GMAT Club Forum mobile app



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Re: If a, b are integers and ab=8, which of the following is the smalle
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18 Jul 2016, 09:11
a=4, b=4. Hence, the answer is A.
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Re: If a, b are integers and ab=8, which of the following is the smalle
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16 Jun 2017, 14:36
Why is the answer not 0? If a=8 and b=0?



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Re: If a, b are integers and ab=8, which of the following is the smalle
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16 Jun 2017, 22:16
yk510 wrote: Why is the answer not 0? If a=8 and b=0? Hi The question asks, "What is the smallest possible value of a*b?" Like you, when I read the question, I also noticed that getting '0' is easy: take a=8 and b=0. But then I saw that there is another option given which is less than 0 (which is 16). So we have to check whether 16 is also possible or not, since the question asks for lowest value possible. So with some trial/error, I saw that indeed 16 is possible when I take a=4 and b=4. because 44 = 8 = 8, and 4*4 = 16.



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Re: If a, b are integers and ab=8, which of the following is the smalle
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16 Jun 2017, 23:21
In minmax expression questions, we have to take the maximum value of one integer and a minimum value of another integer which satisfy the equation Since the expression is ab = 8 the range of this expression must be 8 <= a  b <= 8 This is possible when a=4 and b=4 or a=4,b=4 In either case, ab = 16(Option A)
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Re: If a, b are integers and ab=8, which of the following is the smalle
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20 Jun 2017, 12:11
yk510 wrote: Why is the answer not 0? If a=8 and b=0? When you convert this expression to liner equation it is a+(b) = 8 when a>b or a + (b) = 8 when a<b. So, now if you see the values of a and b for which the product wil be minimum when corresponding values are 4 and 4 and hence the product = 16. Hope this makes sense



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Re: If a, b are integers and ab=8, which of the following is the smalle
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21 Jan 2019, 09:35
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Re: If a, b are integers and ab=8, which of the following is the smalle
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