easy question NO2 from disclosure

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magical cook: Master | Next Rank: 500 Posts; Posts: 484; Joined: Sun Jul 30, 2006 7:01 pmFollowed by: 1 member; Thanked: 2 times

by magical cook » Tue Sep 26, 2006 7:34 am

Could anyone please give me some example to understand this question?? I am confused..

Which of the following procedures is alwasys equivalent to adding 5 numbers and then deviding the sum by 5?

I. Multiplying the 5 numbers and then finding the 5th root of the product.

II. Adding the 5 numbers, doubling the sum, and then moving the decimal point one place to the left.

III. Ordering the 5 numbers numerically and then selecting the middle number.

A) None
B) I only
C) II only
D) III only
E) I and III

The answer is C

Source: Beat The GMAT — Problem Solving | Tue Sep 26, 2006 7:34 am

cooldude: Master | Next Rank: 500 Posts; Posts: 108; Joined: Sun Jul 09, 2006 5:31 am; Thanked: 1 times

by cooldude » Tue Sep 26, 2006 8:41 am

method 1 - suppose we have numbers 4 8 9 27 1;so fifth root of product is 6

but adding them all then divide by 5 is not equal to 6

method 2-suppose a b c d e are any 5 inteers so sum is a+ b+ c+ d +e
and doubling it is 2(a+ b+ c+ d +e) the divide by 10 is {a+ b+ c+ d +e}/5

method 3-
again take 4 8 9 27 1 so middle no. is 8

hence u c only second is correct

magical cook: Master | Next Rank: 500 Posts; Posts: 484; Joined: Sun Jul 30, 2006 7:01 pmFollowed by: 1 member; Thanked: 2 times

Thank you CookDude!

by magical cook » Tue Sep 26, 2006 7:45 pm

Thank you so much for your help.

it becomes very clear but one part... (sorry very basic)

as for the method 1
the product of the example 5 numbers: 4 8 9 27 1 will be 7776, and how come 5th root of 7776 is 6??

Thank you...

cooldude: Master | Next Rank: 500 Posts; Posts: 108; Joined: Sun Jul 09, 2006 5:31 am; Thanked: 1 times

by cooldude » Tue Sep 26, 2006 9:04 pm

break them into factors and make sets of 5 !!!!!!!

there r 5 2s and 5 3s

magical cook: Master | Next Rank: 500 Posts; Posts: 484; Joined: Sun Jul 30, 2006 7:01 pmFollowed by: 1 member; Thanked: 2 times

Ah...

by magical cook » Tue Sep 26, 2006 9:23 pm

Thank you again Cooddue...

I thought 5th root of product is like this (see attached), but actually that means "make 5 sets of factors"

Yes, there are 22222 and 33333.

Thank you!

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