The figures above show a hexagonal nut that has a width of

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BTGmoderatorDC: Moderator; Posts: 7187; Joined: Thu Sep 07, 2017 4:43 pm; Followed by:23 members

The figures above show a hexagonal nut that has a width of

by BTGmoderatorDC » Sat Dec 07, 2019 6:05 pm

The figures above show a hexagonal nut that has a width of 55669.png inches and a wrench that, in order to fit the nut, must have a width of at least $1 \frac{5}{16}$ inches. Of all the wrenches that fit the nut and have widths that are whole numbers of millimeters, the wrench that fits the nut most closely has a width of how many millimeters?

(Note: 1 inch â‰ˆ 25.4 millimeters)

A. 30
B. 31
C. 32
D. 33
E. 34

OA E

Source: Official Guide

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Source: Beat The GMAT — Problem Solving | Sat Dec 07, 2019 6:05 pm

henilshaht: Junior | Next Rank: 30 Posts; Posts: 18; Joined: Mon Sep 30, 2019 5:04 pm

by henilshaht » Sun Dec 08, 2019 7:21 am

First I will convert the unit from mm to inches =>
$$\left(\frac{21}{16}\times\ 25.4\ =\ 33.3\right)$$

So the answer has to be more than 33, and the only option which satisfies this choice is E. $$$$

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Scott@TargetTestPrep: GMAT Instructor; Posts: 8086; Joined: Sat Apr 25, 2015 10:56 am; Location: Los Angeles, CA; Thanked: 43 times; Followed by:29 members

by Scott@TargetTestPrep » Tue Dec 10, 2019 7:18 pm

BTGmoderatorDC wrote:

The figures above show a hexagonal nut that has a width of 55669.png inches and a wrench that, in order to fit the nut, must have a width of at least $1 \frac{5}{16}$ inches. Of all the wrenches that fit the nut and have widths that are whole numbers of millimeters, the wrench that fits the nut most closely has a width of how many millimeters?

(Note: 1 inch â‰ˆ 25.4 millimeters)

A. 30
B. 31
C. 32
D. 33
E. 34

OA E

Source: Official Guide

Since 1 inch is about 25.4 millimeters, we have:

(1 + 5/16) x 25.4 = 25.4 + 127/16 = 25.4 + 7.9375 = 33.3375

So, the width of the wrench that fits most closely is 34 millimeters.

Answer: E

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