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The annual rainfall in a city over the past 50 years is its historical 30 May 2024, 13:35
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­The annual rainfall in a city over the past 50 years is its historical average rainfall (HAR). The graph above shows the annual rainfall in City X over a seven-year period. All figures are rounded to the nearest integer.

Is it true that the rounded HAR for City X is 47 mm or greater?

(1) In the seven-year period in City X, the annual rainfall was greater than the HAR in exactly two of the consecutive years.

(2) In the seven-year period in City X, the annual rainfall was less than the HAR in exactly four of the years.­
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The annual rainfall in a city over the past 50 years is its historical 01 Jun 2024, 21:10
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randomguy2468

The annual rainfall in a city over the past 50 years is its historical average rainfall (HAR). The graph above shows the annual rainfall in City X over a seven-year period. All figures are rounded to the nearest integer.

Is it true that the rounded HAR for City X is 47 mm or greater?

(1) In the seven-year period in City X, the annual rainfall was greater than the HAR in exactly two of the consecutive years.

(2) In the seven-year period in City X, the annual rainfall was less than the HAR in exactly four of the years.

­ Can someone please post an explanation for the solution? Thank you.
Show more

The question asks us that is the HAR 47/47+ or not as per the graph ?

AD/BCE

St1. For two consecutive years it indicates 60 and 51. Also the graph has 47 in it, but if the HAR is supposed to be less than 47 it would violate the statement. Hence we learn that the HAR is 47mm or greater.

Now as we get A as sufficient we cancel out BCE from our answer choices

St2. Excluding 60 and 51 we still have the greatest number as 47 and the next value we have is 35, HAR has many possibilities between 35 and 47, also it can’t be 47+ so being 47 is a probability. Hence St.2 is not sufficient.

Ans A

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The annual rainfall in a city over the past 50 years is its historical 01 Jun 2024, 21:44
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Bunuel


­The annual rainfall in a city over the past 50 years is its historical average rainfall (HAR). The graph above shows the annual rainfall in City X over a seven-year period. All figures are rounded to the nearest integer.

Is it true that the rounded HAR for City X is 47 mm or greater?

(1) In the seven-year period in City X, the annual rainfall was greater than the HAR in exactly two of the consecutive years.

(2) In the seven-year period in City X, the annual rainfall was less than the HAR in exactly four of the years.­
Show more
­HAR is over 50 years, while what is given in the graph is rainfall over 7 consecutive years. Based on the graph, we are asked whether HAR is at least 47mm.

(1) In the seven-year period in City X, the annual rainfall was greater than the HAR in exactly two of the consecutive years.
So we look at the highest rainfall. The question becomes easy as the two highest rainfalls have been in two consecutive years, year 3 and year 4.
This further tells us that the rainfall in year 2, which would otherwise be part of the above mentioned two consecutive years, making two consecutive years as three consecutive years, was not more than the HAR.
Thus, rainfall of 47mm is not more than the HAR or, in other words, HAR is at least 47mm.
Sufficient

(2) In the seven-year period in City X, the annual rainfall was less than the HAR in exactly four of the years.­
The four least rainfall have been in year 1, 5, 6 and 7, so HAR is surely more than 35.
The trap comes now: the next higher rainfall shown is 47, and one could mark this too sufficient.
But HAR need not be one of the rainfalls mentioned on graph, so HAR could be anything greater than 35 but less than 47, inclusive.
Insufficient

A
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The annual rainfall in a city over the past 50 years is its historical 04 Jun 2024, 07:43
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chetan2u

Bunuel


­The annual rainfall in a city over the past 50 years is its historical average rainfall (HAR). The graph above shows the annual rainfall in City X over a seven-year period. All figures are rounded to the nearest integer.

Is it true that the rounded HAR for City X is 47 mm or greater?

(1) In the seven-year period in City X, the annual rainfall was greater than the HAR in exactly two of the consecutive years.

(2) In the seven-year period in City X, the annual rainfall was less than the HAR in exactly four of the years.­
­HAR is over 50 years, while what is given in the graph is rainfall over 7 consecutive years. Based on the graph, we are asked whether HAR is at least 47mm.

(1) In the seven-year period in City X, the annual rainfall was greater than the HAR in exactly two of the consecutive years.
So we look at the highest rainfall. The question becomes easy as the two highest rainfalls have been in two consecutive years, year 3 and year 4.
This further tells us that the rainfall in year 2, which would otherwise be part of the above mentioned two consecutive years, making two consecutive years as three consecutive years, was not more than the HAR.
Thus, rainfall of 47mm is not more than the HAR or, in other words, HAR is at least 47mm.
Sufficient

(2) In the seven-year period in City X, the annual rainfall was less than the HAR in exactly four of the years.­
The four least rainfall have been in year 1, 5, 6 and 7, so HAR is surely more than 35.
The trap comes now: the next higher rainfall shown is 47, and one could mark this too sufficient.
But HAR need not be one of the rainfalls mentioned on graph, so HAR could be anything greater than 35 but less than 47, inclusive.
Insufficient

A
Show more
­Hello chetan2u

I am afraid I can't agree to the solution you provided. The question asks "Is it true that the rounded HAR for City X is 47 mm or greater?". Going by your logic, "But HAR need not be one of the rainfalls mentioned on graph, so HAR could be anything greater than 35 but less than 47, inclusive.", this actually sufficiently points to the fact that the HAR is not more than 47. And thus it actually makes this statement correct.
However, the question asks us whether the HAR is more than or equal to 47. Using the second option, we are unable to determine whether the option equates to less than 47 or equal to 47. Hence, we are unable to conclude and that makes this statement insufficient.
Please let me know your thoughts on this.

 
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The annual rainfall in a city over the past 50 years is its historical 04 Jun 2024, 08:03
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Bunuel


­The annual rainfall in a city over the past 50 years is its historical average rainfall (HAR). The graph above shows the annual rainfall in City X over a seven-year period. All figures are rounded to the nearest integer.

Is it true that the rounded HAR for City X is 47 mm or greater?

(1) In the seven-year period in City X, the annual rainfall was greater than the HAR in exactly two of the consecutive years.

(2) In the seven-year period in City X, the annual rainfall was less than the HAR in exactly four of the years.­
­HAR is over 50 years, while what is given in the graph is rainfall over 7 consecutive years. Based on the graph, we are asked whether HAR is at least 47mm.

(1) In the seven-year period in City X, the annual rainfall was greater than the HAR in exactly two of the consecutive years.
So we look at the highest rainfall. The question becomes easy as the two highest rainfalls have been in two consecutive years, year 3 and year 4.
This further tells us that the rainfall in year 2, which would otherwise be part of the above mentioned two consecutive years, making two consecutive years as three consecutive years, was not more than the HAR.
Thus, rainfall of 47mm is not more than the HAR or, in other words, HAR is at least 47mm.
Sufficient

(2) In the seven-year period in City X, the annual rainfall was less than the HAR in exactly four of the years.­
The four least rainfall have been in year 1, 5, 6 and 7, so HAR is surely more than 35.
The trap comes now: the next higher rainfall shown is 47, and one could mark this too sufficient.
But HAR need not be one of the rainfalls mentioned on graph, so HAR could be anything greater than 35 but less than 47, inclusive.
Insufficient

A
­Hello chetan2u

I am afraid I can't agree to the solution you provided. The question asks "Is it true that the rounded HAR for City X is 47 mm or greater?". Going by your logic, "But HAR need not be one of the rainfalls mentioned on graph, so HAR could be anything greater than 35 but less than 47, inclusive.", this actually sufficiently points to the fact that the HAR is not more than 47. And thus it actually makes this statement correct.
However, the question asks us whether the HAR is more than or equal to 47. Using the second option, we are unable to determine whether the option equates to less than 47 or equal to 47. Hence, we are unable to conclude and that makes this statement insufficient.
Please let me know your thoughts on this.

 
Show more

Hi
Differing is always welcome. No probs.

Now, I have written that HAR could be anything greater than 35 and less than 47, inclusive.
So it means the range includes 47.
In that case, if HAR is less than 47, then the answer is no but it could be 47 too, which will give answer yes.

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The annual rainfall in a city over the past 50 years is its historical 05 Jun 2024, 07:00
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­The first statement means that the HAR must be greater than or equal to 47- sufficient

The second one means it can be greater than 35, up to and including 47- not sufficient

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The annual rainfall in a city over the past 50 years is its historical 15 Aug 2024, 14:07
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­The question asks us if HAR>=47.

Statement-1: In the seven-year period in City X, the annual rainfall was greater than the HAR in exactly two of the consecutive years. SUFFICIENT

The "exactly" two consecutive years where the rainfall was greater than the HAR have to be years 3 &4 since, if you consider any other year's rainfall to be greater than HAR(suppose year 2), then it would make it 3 years with rainfall greater than HAR( focus on "exactly" 2 years in the statement).

So, HAR has to be greater than or equal to 47mm (Year 2) cause only Year 3&4 can have rainfall greater than HAR.

Statement-2: In the seven-year period in City X, the annual rainfall was less than the HAR in exactly four of the years.­ INSUFFICIENT

The "exactly" four years where rainfall was less than HAR have to be Years 1,5,6,7, since if you consider any other year, that would make it five years where the average rainfall was less than HAR(focus on "exactly"). Now from this consideration, we get that HAR was greater than average rainfall in these four years, so HAR>35. But, HAR could be equal to Year2, i.e 47mm without violating the condition in the statement that annual rainfall was less than the HAR in exactly four of the years.­ So 35<HAR<=47. So, there is no clear YES/NO solution for whether HAR is 47mm or greater.( It could be 47mm, which is a YES, or it could be less than 47MM, which is a NO).
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Question: HAR > 47?

­(1) In the seven-year period in City X, the annual rainfall was greater than the HAR in exactly two of the consecutive years.

=> 47 < HAR < 51

=> Sufficient


(2) In the seven-year period in City X, the annual rainfall was less than the HAR in exactly four of the years.­

=> HAR > 35

=> Insufficient
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The annual rainfall in a city over the past 50 years is its historical 27 Dec 2024, 23:11
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Sometimes to make interpretations easy - you can mould the statements in easily to comprehend manner
Quote:
Is it true that the rounded HAR for City X is 47 mm or greater? Implies Is HAR> or =47? Yes/No Ques

(1) In the seven-year period in City X, the annual rainfall was greater than the HAR in exactly two of the consecutive years.
Annual rainfall was greater than HAR (x) only in 2 periods, that too consecutive. In all other periods it could be less or equal too.
So lets say HAR is 36, so by graph Annual rainfall is greater in 4 consecutive periods (Y1 to 4 hence violating condition)
Lets say HAR is 46, so by graph Annual rainfall is greater in 3 consecutive periods (Y2 to 4 hence violating condition)
Let say HAR is 47, condition is satisified - equal in one year and greater in 2
Lets say HAR is 51/52, so by graph Annual rainfall is greater in only 1 year - year 3
Hence Range of HAR (x) =
47<=HAR<51
Hope this is clear


(2) In the seven-year period in City X, the annual rainfall was less than the HAR in exactly four of the years.­
Lets say HAR is Least value - 23
Years in which Annual rainfall being less than HAR = 0 (Violates condition)
Lets say HAR is 36
Years in which Annual rainfall being less than HAR = 4 ( condition satisfied) but the ans to the Q is No (We are looking for HAR>=47)
Lets say HAR is 46
Years in which Annual rainfall being less than HAR = 4 ( condition satisfied) but the ans to the Q is No (We are looking for HAR>=47)
Lets say HAR is 47
Years in which Annual rainfall being less than HAR = 4 ( condition satisfied) but the ans to the Q is Yes (We are looking for HAR>=47)

We have gotten both Yes and No while complying with the condition - Hence not sufficient
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guddo


­The annual rainfall in a city over the past 50 years is its historical average rainfall (HAR). The graph above shows the annual rainfall in City X over a seven-year period. All figures are rounded to the nearest integer.

Is it true that the rounded HAR for City X is 47 mm or greater?

(1) In the seven-year period in City X, the annual rainfall was greater than the HAR in exactly two of the consecutive years.

(2) In the seven-year period in City X, the annual rainfall was less than the HAR in exactly four of the years.­
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