by: Bunuel
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Difficulty:
25%
(medium)
Question Stats:
79% (01:39) correct
21%
(01:35)
wrong
based on 159
sessions
History
Date
Time
Result
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Jeff’s average (arithmetic mean) monthly utility bill for the months of June, July, and August was $75. During which month did he receive the highest bill?
(1) The lowest bill was received in July.
(2) The total of his bills for July and August was $160.
_________________
(1) The lowest bill was received in July.
(2) The total of his bills for July and August was $160.
_________________
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Bunuel
(1) The lowest bill was received in July.
Nothing about other two months.. insuff
(2) The total of his bills for July and August was $160.
again it just tells us that june did not have the highest bill..
combined aug is the month...suff
ans C
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thembaseeker
Joined: 02 Mar 2015
Last visit: 18 Oct 2022
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Status:Focus - Determination - Domination
Location: India
Concentration: Leadership, International Business
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GPA: 4
WE:Project Management (Computer Software)
Schools: Oxford "21 HEC Jan20 Intake Booth '24
Posts: 37
Bunuel
june+july+august=$225
Statement (1) -- not sufficient, Not provides any data
Statement (2) --- July + August= $160 gives June= $65, July or August any can have the highest bill.
Combining both statement(1) and statement(2).... July <$65 , hence August has highest billing.
Answer - C
TheKingInTheNorth
Joined: 13 Mar 2013
Last visit: 03 May 2019
Posts: 132
Location: United States
Concentration: Leadership, Technology
GPA: 3.5
WE:Engineering (Telecommunications)
Posts: 132
Jeff’s average (arithmetic mean) monthly utility bill for the months of June, July, and August was $75. During which month did he receive the highest bill?
(1) The lowest bill was received in July.
(2) The total of his bills for July and August was $160.
Kudos for a correct solution.
(1) The lowest bill was received in July.
Not sufficient --- no idea about other two month .
(2) The total of his bills for July and August was $160.
total bill of 3 month = $225
july and August was $160. therefore june is $55
Still not possible to find which month has max. value .
together st 1 n 2
july has the lowest .
June value = 55
Therefore min value of july can be 54 . Then august has maximum value .
Note july value will be less than or equal = 54 and what ever be the value july within this range ....August has maximum value .
hence C ans .
_________________
(1) The lowest bill was received in July.
(2) The total of his bills for July and August was $160.
Kudos for a correct solution.
(1) The lowest bill was received in July.
Not sufficient --- no idea about other two month .
(2) The total of his bills for July and August was $160.
total bill of 3 month = $225
july and August was $160. therefore june is $55
Still not possible to find which month has max. value .
together st 1 n 2
july has the lowest .
June value = 55
Therefore min value of july can be 54 . Then august has maximum value .
Note july value will be less than or equal = 54 and what ever be the value july within this range ....August has maximum value .
hence C ans .
_________________
Regards ,
Bunuel
June + July + August = 75*3 = $225
Question : Highest (June, July, Aug) = ?
Statement 1: The lowest bill was received in July.
Lowest was in July i.e. Highest could be either in June or in August but still that remains unknown. Hence,
NOT SUFFICIENT
Statement 2: The total of his bills for July and August was $160.
July + August = 160
i.e. June = 225-160 = 65
But Remaining 160 may have any distribution between the remaining two months hence Month with Highest amount is still unknown. Hence,
NOT SUFFICIENT
Combining the two statements
June = 65
July + August = 160
and July is lowest which must be less than june
i.e. July < 65
i.e. August > 160-65
i.e. August > 95
Hence, Highest has to be August
SUFFICIENT
Answer: option C
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Bunuel
VERITAS PREP OFFICIAL SOLUTION:
Question Type: What Is the Value? What is the month when Jeff received the highest bill: June, July, or August?
Given information from the question stem: The average for the 3 months was $75. It is a good idea to just multiply this right away to get the total amount for the 3 months = $225 total.
Statement 1: The lowest bill was received in July. This means that the July bill must be lower than $75. However, the highest bill could still be for June or August. Since this is not specific it is not sufficient. Eliminate choices A and D.
Statement 2: The total for July and August was $160. This gives you the exact amount for June. $225 – 160 = $65 for June. Be careful not to include the information from Statement 1 at this point. You do not know whether July or August is the highest bill. This statement alone is not sufficient. Eliminate choice B.
Together: Taken together you know that the June bill is $65 and that the July bill is for less than this amount. Since the total amount of all three has to be $225, and June and July account for less than $130, the August bill must account for at least $95, and therefore be the highest total. This is sufficient.
The answer is C.
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