BTGmoderatorLU wrote: ↑Sun Jan 19, 2020 3:46 pm
Source: GMAT Prep
If the product of the three digits of the positive integer
k is 14, what is the value of
k?
1)
k is an odd integer.
2)
k < 700
The OA is
E
Say k = xyz, where x = hundreds, y = tens and z = units digits such that none is equal to 0 (since x*y*z = 14) and none is greater than 9.
Let's factorize 14 such that we get three digits of k. So, 14 = 1*2*7. We cannot factorize 14 as 1*1*14 as we know that each digit is less than 10.
With three digits 1, 2 and 7, we can have 3! = 6 three-digit integers.
Let's take each statement one by one.
1)
k is an odd integer.
k can be one among 127, 217, 271 and 721. No unique answer. Insufficient.
2)
k < 700
k can be one among 127, 172, 217, and 271. No unique answer. Insufficient.
(1) and (2) together
k can be one among 127, 217, and 271. No unique answer. Insufficient.
The correct answer:
E
Hope this helps!
-Jay
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