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Sub 505 (Easy)|   Word Problems|                     
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1. Feb/Jan = 26/25. Clearly, Feb>Jan i.e. Sufficient

2. Jan + Feb = ....We cannot fetch the value of each variable. Not Sufficient.
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Bunuel
Was the amount of John's heating bill for February greater than it was for January?

(1) The ratio of the amount of John's heating bill for February to that for January was 26/25.
(2) The sum of the amounts of John's heating bills for January and February was $183.60.



NEW question from GMAT® Official Guide 2019


(DS06802)

I don`t think there is good explanation for this question for those who are new to quant
Assume variable for easiness
Let feb bil be f and january bil be j

Q) was f>j ?

(1) The ratio of the amount of John's heating bill for February to that for January was 26/25.
we can interpret this as 26x/25x
x is the common multiplier use logic to answer now
x is gonna be same for both the values so if 25*anything will always be lesser than 26*anything
clearly sufficient

(2) The sum of the amounts of John's heating bills for January and February was $183.60.
Total doesnt help us we need splits "
insufficient
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Bunuel
Was the amount of John's heating bill for February greater than it was for January?

(1) The ratio of the amount of John's heating bill for February to that for January was 26/25.
(2) The sum of the amounts of John's heating bills for January and February was $183.6


Answer: Option A

Video solution by GMATinsight

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Bunuel
Was the amount of John's heating bill for February greater than it was for January?

(1) The ratio of the amount of John's heating bill for February to that for January was 26/25.
(2) The sum of the amounts of John's heating bills for January and February was $183.60.



NEW question from GMAT® Official Guide 2019


(DS06802)
Solution:

Question Stem Analysis:

We need to determine whether the amount of John's heating bill in February was greater than it was in January.

Statement One Alone:

Since the ratio of the amount of John’s heating bill in February to that in January was greater than 1, the amount of John’s heating bill in February was indeed greater than it was in January. Statement one alone is sufficient.

Statement Two Alone:

Knowing the total amount paid for the two months does not allow us to determine whether the amount for February was greater than that for January. Statement two alone is not sufficient.

Answer: A
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Video solution from Quant Reasoning:
Subscribe for more: https://www.youtube.com/QuantReasoning? ... irmation=1
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Since the ratio of the amount of John’s heating bill in February to that in January was greater than 1, HOW?

ScottTargetTestPrep
Bunuel
Was the amount of John's heating bill for February greater than it was for January?

(1) The ratio of the amount of John's heating bill for February to that for January was 26/25.
(2) The sum of the amounts of John's heating bills for January and February was $183.60.



NEW question from GMAT® Official Guide 2019


(DS06802)
Solution:

Question Stem Analysis:

We need to determine whether the amount of John's heating bill in February was greater than it was in January.

Statement One Alone:

Since the ratio of the amount of John’s heating bill in February to that in January was greater than 1, the amount of John’s heating bill in February was indeed greater than it was in January. Statement one alone is sufficient.

Statement Two Alone:

Knowing the total amount paid for the two months does not allow us to determine whether the amount for February was greater than that for January. Statement two alone is not sufficient.

Answer: A
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For Yes/No question in Data sufficiency, a statement(s) allows you to give a single, definitive answer to the question asked.
If a statement(s) always provides YES for every possible values, it is sufficient
If a statement(s) always provides NO for every possible values, it is sufficient
If a statement(s) provides YES/NO depending on specific values, YES for some values while NO for some others, it is insufficient
If a statement(s) allows for both a "Yes" and a "No," it is Insufficient

So for statement 1, for infinite pairs of positive values as bills of February 'x' and January 'y' that satisfy x/y=26/25, x is always greater than y (x > y)
Therefore statement 1 alone is sufficient
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