GMAT Remainder Quant Question

How many two-digit whole numbers yield a remainder of 3 when divided by 10 and also yield a remainder of 3 when divided by 4?

A) One
B) Two
C) Three
D) Four
E) Five

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If we arrange every 2 digit number then divide by 10 these numbers would all give us remainder 3. So, the number will have 3 in its unit digit : {13 , 23, 33, 43, 53, 63, 73, 83, and 93}

If we divide each number by 4 to see which of them yields reminder 3 then we should see the first number in the set, (13), yields reminder 1. Cross off.

The second number in the set, ( 23), gives us the remainder 3. Keep it.

the third number in the set gives reminder 1. If we continue this then we would see the pattern will be repeated. The even numbers in the set will give a reminder 3

if we count the even numbers that work {23, 43, 63, and 83} then we have 4 numbers

D.