If a certain positive integer is divided by 9, the remainder is 3. What is the remainder when the integer is divided by 5?
(1) If the integer is divided by 45, the remainder is 30.
(2) The integer is divisible 2.
The OA is A.
Is there a strategic approach to this question? Can anyone help? Thanks in advance!
If a certain positive integer is divided by 9, the remainder
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Let x = the integer.AAPL wrote:. If a certain positive integer is divided by 9, the remainder is 3. What is the remainder when the integer is divided by 5?
(1) If the integer is divided by 45, the remainder is 30.
(2) The integer is divisible 2.
The OA is A.
If a certain positive integer is divided by 9, the remainder is 3.
In other words, x is 3 more than a multiple of 9:
x = 9a + 3 = 3, 12, 21, 30....
Statement 1: If the integer is divided by 45, the remainder is 30.
In other words, x is 30 more than a multiple of 45:
x = 45b + 30 = 30, 75, 120....
Every value in the list above is viable, since each is 3 more than a multiple of 9:
30 = 27 + 3
75 = 72 + 3
120 = 117 + 3
Since every option for x is a multiple of 5, dividing x by 5 will yield a remainder of 0.
SUFFICIENT.
Statement 2: The integer is divisible by 2
In the blue list above, both x=12 and x=30 are divisible by 2.
If x=12, then dividing x by 5 will yield a remainder of 2.
If x=30, then dividing x by 5 will yield a remainder of 0.
Since the remainder can be different values, INSUFFICIENT.
The correct answer is A.
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Followed here and elsewhere by over 1900 test-takers.
I have worked with students based in the US, Australia, Taiwan, China, Tajikistan, Kuwait, Saudi Arabia -- a long list of countries.
My students have been admitted to HBS, CBS, Tuck, Yale, Stern, Fuqua -- a long list of top programs.
As a tutor, I don't simply teach you how I would approach problems.
I unlock the best way for YOU to solve problems.
For more information, please email me (Mitch Hunt) at [email protected].
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