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E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
15%
(low)
Question Stats:
73% (00:42) correct
27%
(00:56)
wrong
based on 208
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History
Date
Time
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Not Attempted Yet
What is the units digit of \(15^9 -16^6\)?
(A) 1
(B) 3
(C) 5
(D) 7
(E) 9
(A) 1
(B) 3
(C) 5
(D) 7
(E) 9
13 Jan 2020, 05:49
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Option E
Number Properties: Any number that has the number 5 as its last digit (e.g. 15) follows the same digit pattern as the number 5.
Same reasoning for the numbers that end in 6,
We know that \(5^x\) = Number that has a 5 as its units digit for all \(x >0\).
Similarly, \(6^x\) = Number that has a 6 as its units digit for all \(x >0\).
Subtracting, a number that ends in 6, to a number that ends in 5 minus, will yield a number that ends in 9.
Number Properties: Any number that has the number 5 as its last digit (e.g. 15) follows the same digit pattern as the number 5.
Same reasoning for the numbers that end in 6,
We know that \(5^x\) = Number that has a 5 as its units digit for all \(x >0\).
Similarly, \(6^x\) = Number that has a 6 as its units digit for all \(x >0\).
Subtracting, a number that ends in 6, to a number that ends in 5 minus, will yield a number that ends in 9.
04 Apr 2020, 06:35
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sjuniv32
If k is a positive integer, then the units digit of 15^k is always 5 (15^1 = 15, 15^2 = 225, 15^3 = 3375, 15^4 = ----5, etc)
If j is a positive integer, then the units digit of 16^j is always 6 (16^1 = 16, 16^2 = 256, 16^3 = 4096, 16^4 = ----6, etc)
So, 15^9 - 16^6 = (----5) - (---6) = ----9
Answer: E
Cheers,
Brent
