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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

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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

by M7MBA » Sun Aug 15, 2021 3:19 pm

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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

Answer: B

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Re: 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

by Brent@GMATPrepNow » Tue Aug 17, 2021 6:22 am
M7MBA wrote: ↑
Sun Aug 15, 2021 3:19 pm
 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

Answer: B

Source: GMAT Prep
This looks like a job for prime factorization!

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

If 1 < w < x < y < z, then we can see that w = 2, x = 5, y = 7 and z = 11

So, w + z = 2 + 11 = 13

Answer: B

Cheers,
Brent
Brent Hanneson - Creator of GMATPrepNow.com
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