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Consecutive integers

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by danjuma » Mon Sep 20, 2010 3:09 pm
4. If n is the product of the least and the greatest of 6 consecutive integers, what is the value of n?

a. The greatest of the 6 consecutive integers is 20.

b. The arithmetic mean of the 6 consecutive integers is 17,5.
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Source: — Data Sufficiency |
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by beatthegmatinsept » Mon Sep 20, 2010 3:16 pm
danjuma wrote:4. If n is the product of the least and the greatest of 6 consecutive integers, what is the value of n?

a. The greatest of the 6 consecutive integers is 20.

b. The arithmetic mean of the 6 consecutive integers is 17,5.
IMO D.

Given: (x)(x+5) = n
a) (x+5) = 20, So, x = 15. Solve for n. Sufficient.
b) (x+x+1+x+2+x+3+x+4+x+5)/6 = mean = 17.5. Solve for x. Solve for n. Sufficient.
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by Gurpinder » Mon Sep 20, 2010 5:09 pm
danjuma wrote:4. If n is the product of the least and the greatest of 6 consecutive integers, what is the value of n?

a. The greatest of the 6 consecutive integers is 20.

b. The arithmetic mean of the 6 consecutive integers is 17,5.
(a) 20,19,18,17,15,16

(b) i am guessing the mean is 17.5

(n,(n+1)+(n+2)......(n+5)) /6 = 17.5

solve for n = 15.

now you can figure out each digit.

hence (d)
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