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Scon
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Joe earned x dollars the first day he worked in December, where x is a Updated on: 24 Jul 2019, 22:09
Originally posted by Scon on 24 Jul 2019, 12:15.
Last edited by Bunuel on 24 Jul 2019, 22:09, edited 1 time in total.
Renamed the topic.
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Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!

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95% (hard)

Question Stats:

43% (02:44) correct 57% (02:44) wrong based on 350 sessions

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Joe earned x dollars the first day he worked in December, where x is an integer. For each day after the first that he worked in December, Joe earned twice the amount he earned on the previous day. Did Joe earn less than $35 on the 4th day he worked in December?

(1) Joe earned more than $120 in total for the first five days he worked in December.
(2) Joe earned less than $148 on the 6th day he worked in December.
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B
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prashanths
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Joe earned x dollars the first day he worked in December, where x is a 24 Jul 2019, 23:59
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Joe earned x dollars the first day he worked in December, where x is an integer. For each day after the first that he worked in December, Joe earned twice the amount he earned on the previous day. Did Joe earn less than $35 on the 4th day he worked in December?

x,2x,4x,8x,16x,32x,.... he will earn on each day

(1) Joe earned more than $120 in total for the first five days he worked in December.
x+2x+4x+8x+16x>120
31x>120
x>3.87
x>=4
4th day he would have earned >=32
Not sufficient.

(2) Joe earned less than $148 on the 6th day he worked in December.
32x<148
x<4.625
x<=4
4th day he would have earned <=32
Sufficient.

Option B.
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Poorvi05
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Joe earned x dollars the first day he worked in December, where x is a 24 Jul 2019, 13:58
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We are getting
x<4.625 as the value in option 2
This means we get both yes and no as answer on multiplying with 8 for the 4th day
How can we get B as an answer

.
.
.
Correct me If I'm wrong
Thanks in advance.

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Scon
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Joe earned x dollars the first day he worked in December, where x is a 24 Jul 2019, 14:03
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Poorvi55, since x is an Integer, x < 4.62 means x <= 4 which is also <= than 4.3; x can't be 5.

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Joe earned x dollars the first day he worked in December, where x is a 25 Jul 2019, 02:21
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When solving DS questions dealing with word problems, there are two things you always need to take care of before getting into the statements

1. Always translate the question stem, set up equations (limit the number of variables) and breakdown the question stem of possible
2. Never overlook the constraints the question provides.

Now the question stem tells us that on the

1st day Joe earned = x
2nd day = 2x
3rd day = 4x
4th day = 8x

Question stem: Did Joe earn less than $35 on the 4th day -----> 8x < 35 ----> x < 4.375

Since x is an integer, the question becomes 'Is x <= 4

Statement 1 : Joe earned more than $120 in total for the first five days he worked in December.

x + 2x + 4x + 8x + 16x > 120

31x > 120 ---> x > 3.9....

This gives us both a YES and a NO since x can be 4 or any integer greater than 4

Statement 2: Joe earned less than $148 on the 6th day he worked in December

32x < 148 ----> x < 4.625

Since x is an integer, x <=4. Sufficient.

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Joe earned x dollars the first day he worked in December, where x is a 25 Jul 2019, 04:01
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prashanths
Joe earned x dollars the first day he worked in December, where x is an integer. For each day after the first that he worked in December, Joe earned twice the amount he earned on the previous day. Did Joe earn less than $35 on the 4th day he worked in December?

x,2x,4x,8x,16x,32x,.... he will earn on each day

(1) Joe earned more than $120 in total for the first five days he worked in December.
x+2x+4x+8x+16x>120
31x>120
x>3.87
x>=4
4th day he would have earned >=32
Not sufficient.

(2) Joe earned less than $148 on the 6th day he worked in December.
32x<148
x<4.625
x<=4
4th day he would have earned <=32
Sufficient.

Option B.

Hello,

In St. 2, I would like to show you that
32x<148
x<148/32
Now, on 4th day his earnings were 8x
So 8x (his earnings) < 148x8/32
8x < 37
So his earnings are less than 37 which is not sufficient to answer.
Can you tell me whether this is wrong?

Thanks,
Rishov
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Joe earned x dollars the first day he worked in December, where x is a 26 Jul 2019, 06:05
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Rishovnits
prashanths
Joe earned x dollars the first day he worked in December, where x is an integer. For each day after the first that he worked in December, Joe earned twice the amount he earned on the previous day. Did Joe earn less than $35 on the 4th day he worked in December?

x,2x,4x,8x,16x,32x,.... he will earn on each day

(1) Joe earned more than $120 in total for the first five days he worked in December.
x+2x+4x+8x+16x>120
31x>120
x>3.87
x>=4
4th day he would have earned >=32
Not sufficient.

(2) Joe earned less than $148 on the 6th day he worked in December.
32x<148
x<4.625
x<=4
4th day he would have earned <=32
Sufficient.

Option B.

Hello,

In St. 2, I would like to show you that
32x<148
x<148/32
Now, on 4th day his earnings were 8x
So 8x (his earnings) < 148x8/32
8x < 37
So his earnings are less than 37 which is not sufficient to answer.
Can you tell me whether this is wrong?

Thanks,
Rishov

Its given that x is an integer. So we have to solve for x first.
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Joe earned x dollars the first day he worked in December, where x is a 17 Aug 2021, 08:10
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Day1 = x
Day2 = 2x
Day3 = 4x
Day4 =8x
Day5 =16x
Day6 =32x

(1)
x+2x+4x+8x+16x >120
31x>120
x>3.87
x>=4 (upward rounded since, x is an integer & sum is more than 120)
Day4 >=8*4
>=32
It can be more or less than 35
Thus, Not sufficient.

(2) Joe earned less than $148 on the 6th day he worked in December.

32x<148
x<4.625
x<=4 (downward rounded since, x is an integer & sum is less than 148)
Day4 <=8*4
<=32
Always less than 35
Thus, Sufficient.

IMO Answer is B.
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Joe earned x dollars the first day he worked in December, where x is a 06 Mar 2023, 07:58
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Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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