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Jeffs average (arithmetic mean) monthly utility bill for the months 02 Oct 2015, 01:44
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78% (01:39) correct 22% (01:35) wrong based on 156 sessions

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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.
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C
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Jeffs average (arithmetic mean) monthly utility bill for the months 02 Oct 2015, 02:08
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Bunuel
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.


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(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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Jeffs average (arithmetic mean) monthly utility bill for the months 02 Oct 2015, 12:49
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Bunuel
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.


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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
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Jeffs average (arithmetic mean) monthly utility bill for the months 03 Oct 2015, 05:06
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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.


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(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 .
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Jeffs average (arithmetic mean) monthly utility bill for the months 03 Oct 2015, 05:32
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Bunuel
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.


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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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Jeffs average (arithmetic mean) monthly utility bill for the months 06 Oct 2015, 05:27
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Bunuel
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.


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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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Jeffs average (arithmetic mean) monthly utility bill for the months 21 Mar 2024, 13:27
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