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The product of 3 consecutive positive even integers x+1, x+3 and x+5

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akurathi12
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The product of 3 consecutive positive even integers x+1, x+3 and x+5 [#permalink] New post   19 Jan 2019, 10:23
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The product of 3 consecutive positive even integers x+1, x+3 and x+5 is p. Is p/60 an integer?

(1) x+3 is a factor of 20

(2) x is divisible by 5

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Re: The product of 3 consecutive positive even integers x+1, x+3 and x+5 [#permalink] New post   19 Jan 2019, 10:39
From statement 1:

x+3 is a factor of 20.
If x = 1, then 4 is a factor of 20.
Also, 2*4*6 = P, 2*4*6/60 = not an integer.
If x = 7, then 10 is a factor of 20.
Also, 8*10*12 = P, 8*10*12/60 = Integer.
Two answers, Hence 1 is insufficient.

From statement 2:

x is divisible by 5.
Let's take x as 5, then 6*8*10 = P, 6*8*10/60 = integer.
Let's take x as 15, then 16*18*20 = P, 16*18*20/60 = integer.
Any value of x after 15 will yield P/60 as an integer.
Hence Sufficient

B is the answer.
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Re: The product of 3 consecutive positive even integers x+1, x+3 and x+5 [#permalink] New post   19 Jan 2019, 10:43
akurathi12 wrote:
The product of 3 consecutive positive even integers x+1, x+3 and x+5 is p. Is p/60 an integer?

(1) x+3 is a factor of 20

(2) x is divisible by 5

Given
3 consecutive positive even integers x+1 * x+3 * x+5 = p

is p/ 2*2*3*5 an Integer, Yes/No --(a)

1) x+3 is a factor of 20
20 = 1, 2, 4, 5,10, 20,
Now x+3 can be 4,5,10 & 20

4,10 & 20 will be used

2*4*6, will answer (a) as No
8*10*12, will answer (a) as Yes

(2) x is divisible by 5
x can be 5,10,15,20

But for this statement to be true x will be 5,15,25

6*8*10, will answer (a) as Yes
16*18*20, will answer (a) as Yes

Answer B
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Re: The product of 3 consecutive positive even integers x+1, x+3 and x+5 [#permalink] New post   20 Jan 2019, 02:23
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akurathi12 wrote:
The product of 3 consecutive positive even integers x+1, x+3 and x+5 is p. Is p/60 an integer?

(1) x+3 is a factor of 20

(2) x is divisible by 5


You've posted this one before: the-product-of-3-consecutive-positive-even-integers-x-1-x-3-and-x-285819.html?fl=similar

Please do not re-post existing questions.

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Re: The product of 3 consecutive positive even integers x+1, x+3 and x+5 [#permalink]
20 Jan 2019, 02:23
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