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# If the product of the integers w, x, y and z is 770, and if

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Manager
Joined: 07 Dec 2010
Posts: 98
Concentration: Marketing, General Management
If the product of the integers w, x, y and z is 770, and if  [#permalink]

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Updated on: 13 Jul 2013, 06:29
1
4
00:00

Difficulty:

5% (low)

Question Stats:

92% (00:59) correct 8% (01:24) wrong based on 175 sessions

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If the product of the integers w, x, y and z is 770, and if 1 < w < x < y < z, what is the value of w + z?

A. 10
B. 13
C. 16
D. 18
E. 21

Originally posted by ruturaj on 10 Jul 2011, 04:52.
Last edited by Bunuel on 13 Jul 2013, 06:29, edited 1 time in total.
Renamed the topic, edited the question and added the OA.
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Re: 700 plus level question  [#permalink]

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10 Jul 2011, 05:11
1
770 = 2 * 5 * 7 * 11

So w = 2, x = 5, y = 7, z = 11

w + z = 2 + 11 = 13

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Manager
Joined: 07 Dec 2010
Posts: 98
Concentration: Marketing, General Management
Re: 700 plus level question  [#permalink]

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10 Jul 2011, 11:25
How can we be sure of these nos..It can be others also..How can one come with these nos
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Joined: 26 May 2005
Posts: 508
Re: 700 plus level question  [#permalink]

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10 Jul 2011, 11:29
ruturaj wrote:
How can we be sure of these nos..It can be others also..How can one come with these nos

it can be any other number because these are prime factors of 770

770 = 77*10 = 7*11 * 2*5

hope this helps
Manager
Joined: 20 Jul 2011
Posts: 111
GMAT Date: 10-21-2011
Re: 700 plus level question  [#permalink]

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05 Sep 2011, 12:57
Quote:
Product of w,x,y,z is 770.If w<x<y<z what is the value of w+z?
A. 10
B. 13
C. 16
D. 18
E. 21

prime factors of 770: 2, 5, 7, 11
Therefore:
w+z=2+11=13

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Re: If the product of the integers w, x, y and z is 770, and if  [#permalink]

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15 Feb 2018, 12:05
Hi All,

We're told that the product of the integers W, X, Y and Z is 770, and that 1 < W < X < Y < Z. We're asked for the value of W + Z.

One of the great aspects of the 'math' behind factoring is that you can do the factoring in any order and you'll still get to the same result...

With 770, a few Number Properties stand out, so your first 'factor' would likely either be 2 (since 770 is EVEN), 7 (since 7 divides into 700 and 70) or 10 (since 770 ends in a 0). Let's go for the biggest option first....10

770 = (77)(10)

From here, you can further break down each of the two 'pieces'....

77 = (7)(11)
10 = (2)(5)

770 = (2)(5)(7)(11)

Based on the given inequality 'string', we know that W is the smallest value and Z is the largest value. 2 + 11 = 13

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Re: If the product of the integers w, x, y and z is 770, and if &nbs [#permalink] 15 Feb 2018, 12:05
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