How many integers between 100 & 150,inclusive,cannot be : Quant Question Archive [LOCKED]
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# How many integers between 100 & 150,inclusive,cannot be

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Manager
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How many integers between 100 & 150,inclusive,cannot be [#permalink]

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22 Oct 2007, 21:29
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

How many integers between 100 & 150,inclusive,cannot be divided by 3 or 5?

Is there a easier way of doing this apart from counting the numbers?
VP
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22 Oct 2007, 21:40
150/3- 102/3 = 16 ---> 17 numbers

150/5-100/5 = 10 ---> 11 numbers

150/15-105/15 = 3 --> 4 numbers

total

17+11-4 = 24 numbers

Manager
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22 Oct 2007, 21:44
The answer is given as 27....is it wrong?
Manager
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22 Oct 2007, 21:55
I get the number 150/3 - 102/3 = 16....do we have to add 1 to each cause its inclusive?
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23 Oct 2007, 00:51
# of terms divisible by 3 --> (150-102)/3 + 1 = 17
# of terms divisible by 5 --> (150-100)/5 + 1 = 11
# of terms divsible by both 5 and 3 --> (150-105)/15 + 1 = 4

Drawing a venn diagram, you can solve for:

# of terms divisible by both 5 and 3 -> 4
# of terms divisible by 3 only -> 13
# of terms divisible by 5 only -> 7

Total = 7+4+13 = 24
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23 Oct 2007, 01:07
KillerSquirrel wrote:
150/3- 102/3 = 16 ---> 17 numbers

150/5-100/5 = 10 ---> 11 numbers

150/15-105/15 = 3 --> 4 numbers

total

17+11-4 = 24 numbers

Are you counting the number of integers that CAN be divided by 3 or by 5?
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23 Oct 2007, 01:08
kevincan wrote:
KillerSquirrel wrote:
150/3- 102/3 = 16 ---> 17 numbers

150/5-100/5 = 10 ---> 11 numbers

150/15-105/15 = 3 --> 4 numbers

total

17+11-4 = 24 numbers

Are you counting the number of integers that CAN be divided by 3 or by 5?

Answer should be ((150-100)+1)-24 = 27 =)
VP
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23 Oct 2007, 11:54
ywilfred wrote:
kevincan wrote:
KillerSquirrel wrote:
150/3- 102/3 = 16 ---> 17 numbers

150/5-100/5 = 10 ---> 11 numbers

150/15-105/15 = 3 --> 4 numbers

total

17+11-4 = 24 numbers

Are you counting the number of integers that CAN be divided by 3 or by 5?

Answer should be ((150-100)+1)-24 = 27 =)

Yes ! I also fell to that trap.

23 Oct 2007, 11:54
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