gmatt1476 wrote:
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.
DS52402.01
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 casesSince 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)
case iv: $28, $35 and $42 (sum = $105) TOO smallTarget 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 $63Since we can answer the
target question with certainty, statement 2 is SUFFICIENT
Answer: B
Cheers,
Brent