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When positive integer N is divided by 3, the remainder is 2.

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When positive integer N is divided by 3, the remainder is 2. [#permalink] New post 24 Oct 2009, 08:08
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1. When positive integer N is divided by 3, the remainder is 2. When integer T is divided by 5, the remainder is 3. What is the remainder when the product, NT, is divided by 15?

A) N-2 is divisible by 5.
B) T is divisible by 3.
• The correct answer is C.

2. Maria bought some pencils. Each pencil either cost 23 cents or 21 cents. How many 23c pencils did she buy?

A) Maria bought 6 Pencils
B) The total value of the pencils = 130 cents.
• The correct answer is B.
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Re: Could you help me out with this question? [#permalink] New post 24 Oct 2009, 09:13
Given: N = 3a+2, T = 5b+3
NT = 15ab + 9a + 10b + 6, for NT to be divisible by 15 we need to check the divisibility of each term by 15.

stmt1:
N-2= 5c => N=5c+2
hence, 5c+2=3a+2 => 5c=3a, which means 'a' can take values such as 5,10,15...Thus the second term (9*multiple of 5) will be divisible by 15. We have no idea about 10b. Not suff.

stmt2:
T = 3d
3d=5b+3 => 'b' can take values such as 3,6,...Thus the third term (10*multiple of 3) will be divisible by 15. We have no idea about 9a.

combining, the remainder will be 6/15 = 6. C

2)
stmt1. We do not know anything about the total value, insuff.
stmt2. Only possibility is 23*2 + 21*4 = 130. suff
B.
Re: Could you help me out with this question?   [#permalink] 24 Oct 2009, 09:13
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When positive integer N is divided by 3, the remainder is 2.

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