## Exactly 3 deposits have been made in a savings account and the amounts of the deposits are 3 consecutive...

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### Exactly 3 deposits have been made in a savings account and the amounts of the deposits are 3 consecutive...

by BTGmoderatorLU » Fri Dec 25, 2020 10:21 am

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## Global Stats

Source: Official Guide

Exactly 3 deposits have been made in a savings account and the amounts of the deposits are 3 consecutive integer multiples of $7. If the sum of the deposits is between$120 and $170, what is the amount of each of the deposits? 1) The amount of one of the deposits is$49
2) The amount of one of the deposits is $63 The OA is B ### GMAT/MBA Expert GMAT Instructor Posts: 16086 Joined: 08 Dec 2008 Location: Vancouver, BC Thanked: 5254 times Followed by:1267 members GMAT Score:770 ### Re: Exactly 3 deposits have been made in a savings account and the amounts of the deposits are 3 consecutive... by [email protected] » Sat Apr 16, 2022 6:40 am ## Timer 00:00 ## Your Answer A B C D E ## Global Stats BTGmoderatorLU wrote: Fri Dec 25, 2020 10:21 am Source: Official Guide Exactly 3 deposits have been made in a savings account and the amounts of the deposits are 3 consecutive integer multiples of$7. If the sum of the deposits is between $120 and$170, what is the amount of each of the deposits?

1) The amount of one of the deposits is $49 2) The amount of one of the deposits is$63

The OA is B
Given: Exactly 3 deposits have been made in a savings account and the amounts of the deposits are 3 consecutive integer multiples of $7. The sum of the deposits is between$120 and $170 STRATEGY: For questions like this in which we have a limited number of possible cases, I like to invest a little bit of time up front to list of all of those possible cases. This will typically make things much easier when analyzing the two statements. Also, when I scan the answer choices, I see that two of the three deposits are$49 and $63. This will help me list the various cases Since the sum of the deposits is between$120 and $170, the possible cases are: case i:$49, $56, and$63 (sum = $168) [ since$168 is very close to the upper limit of $170, I can see that the remaining cases must start with smaller values than$49]
case ii: $42,$49, and $56 (sum =$147)
case iii: $35,$42, and $49 (sum =$126)
[s]case iv: $28,$35 and $42 (sum =$105) TOO small[/s]

Target question: What is the amount of each of the deposits?

Statement 1: The amount of one of the deposits is $49. Check the three possible cases . . . i, ii and iii all apply, which means we can't answer the target question with certainty Statement 1 is NOT SUFFICIENT Statement 2: The amount of one of the deposits is$63.
Check the three possible cases . . . case i is the only one that satisfies statement 2, which means the three deposits are $49,$56, and \$63
Since we can answer the target question with certainty, statement 2 is SUFFICIENT