What is the fastest way to solve this?

This topic has expert replies
Moderator
Posts: 2058
Joined: Sun Oct 29, 2017 4:24 am
Thanked: 1 times
Followed by:5 members

What is the fastest way to solve this?

by M7MBA » Fri Aug 06, 2021 11:18 am

Timer

00:00

Your Answer

A

B

C

D

E

Global Stats

What is the fastest way to solve this?

\(\dfrac{(0.513)(0.488)(0.942)}{(0.684)(0.314)(0.183)}\)

a) 4
b) 5
c) 6
d) 7
e) 8

Answer: C

Source: GMAT Paper Tests

Master | Next Rank: 500 Posts
Posts: 415
Joined: Thu Oct 15, 2009 11:52 am
Thanked: 27 times

Re: What is the fastest way to solve this?

by regor60 » Wed Aug 25, 2021 10:55 am
Try rounding.

First term down to 1/2. Second term up to 1/2, third term up to 1. Adjusted numerator of 1/4.

Adjust first term in denominator down to 2/3, second term up to 1/3, third term up to 1/5. Revised denominator of 2/45.

Notice that this revises terms up and down an equal number of times between numerator and denominator which helps offset estimation errors.

New fraction of (1/4)/(2/45) =45/8. 45/8 is closer to 48/8 than it is to 40/8.

48/8 =6,C