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Data Sufficiency Butler: August 2025
August 19DS 1DS 2

________________________________
DS 1

At a street fair, a concessionaire sold both bracelets and necklaces. How much money did she take in on the sale of the bracelets?

(1) She took in a total of $540 on the sale of bracelets and necklaces.

(2) She took in $12 for each of the 25 necklaces she sold.
________________________________
DS 2

A marathon runner running along a prescribed route passes through neighborhoods J, K, L, and M, not necessarily in that order. How long does it take to run from J to M?

(1) The runner averages 8 miles per hour on the route from J to M.

(2) M is 4 miles from K and 12 miles from L, but J is 15 miles from K.
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PS 1.
Let’s use weighted averages.... total profit we need 7500 Cents

Cost should be a little more than 58 per Jar. Why?

100 at 65 and 200 at 55 to weighted average will be near 55... and it should be approximately twice as near... so between 58 to 65.. Distance is 7... between 58 and 55 distance is 3... we can do it 3.5 and 5.5 but let’s avoid decimals...

Now avg is 58 we need profit of 7500 means 7500/300 around 25... SP.. 58 + 25 =83.. total sp 24900.. now remember we took average 58.. but it’s a little more than 58 so a little more than 24900 is 25000 only in option E...

PS 2. A. -16
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Quote:

PS 1.
Let’s use weighted averages.... total profit we need 7500 Cents

Cost should be a little more than 58 per Jar. Why?

100 at 65 and 200 at 55 to weighted average will be near 55... and it should be approximately twice as near... so between 58 to 65.. Distance is 7... between 58 and 55 distance is 3... we can do it 3.5 and 5.5 but let’s avoid decimals...

Now avg is 58 we need profit of 7500 means 7500/300 around 25... SP.. 58 + 25 =83.. total sp 24900.. now remember we took average 58.. but it’s a little more than 58 so a little more than 24900 is 25000 only in option E...

PS 2. A. -16
Wat is the difficulty level of these questions??
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Quote:

*Bunuel writes:*
Data Sufficiency Butler: August 2025

August 19
at-a-street-fair-a-concessionaire-sold-both-bracelets-and-necklaces-448834.html
a-marathon-runner-running-along-a-prescribed-route-passes-through-448833.html



________________________________
at-a-street-fair-a-concessionaire-sold-both-bracelets-and-necklaces-448834.html

At a street fair, a concessionaire sold both bracelets and necklaces. How much money did she take in on the sale of the bracelets?

(1) She took in a total of $540 on the sale of bracelets and necklaces.

(2) She took in $12 for each of the 25 necklaces she sold.
________________________________
a-marathon-runner-running-along-a-prescribed-route-passes-through-448833.html

A marathon runner running along a prescribed route passes through neighborhoods J, K, L, and M, not necessarily in that order. How long does it take to run from J to M?

(1) The runner averages 8 miles per hour on the route from J to M.

(2) M is 4 miles from K and 12 miles from L, but J is 15 miles from K.
DS. 1 - C
DS - 2
A very interesting question .. hope I am correct. The answer should be E...
We want to know time taken to travel between J to M

Statement 1. not sufficient as we don’t know the distance...

Statement 2. It’s not sufficient as it talks bout distanxe only not time or speed.
But here .. lets see

Let’s forget about thr L Part... and we don’t know the order of JKLM .. so M can be in either direction of K...
M is 4 Miles from K and J is 15 Miles from K...
Now there could be 2 distances.... If both are on the same side of the K then D will be 11 or if opposite side then D will be 19...

*Combined*
We have 2 different values of Distance but 1 value of speed.. hence the time taken will be different... So both combined also not sufficient

Answer E...

Quote:

Wat is the difficulty level of these questions??
Would Have to check on app..
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Quote:

PS 1.
Let’s use weighted averages.... total profit we need 7500 Cents

Cost should be a little more than 58 per Jar. Why?

100 at 65 and 200 at 55 to weighted average will be near 55... and it should be approximately twice as near... so between 58 to 65.. Distance is 7... between 58 and 55 distance is 3... we can do it 3.5 and 5.5 but let’s avoid decimals...

Now avg is 58 we need profit of 7500 means 7500/300 around 25... SP.. 58 + 25 =83.. total sp 24900.. now remember we took average 58.. but it’s a little more than 58 so a little more than 24900 is 25000 only in option E...

PS 2. A. -16
Another simple method is

Find total cost price :
0.65 ×100 + 0.55 × 200 = 175
Now we know that profit = 75

Profit = Selling price - Cost price
75 = SP - 175
SP= 250
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Quote:

*Bunuel writes:*
Data Sufficiency Butler: August 2025

August 19
at-a-street-fair-a-concessionaire-sold-both-bracelets-and-necklaces-448834.html
a-marathon-runner-running-along-a-prescribed-route-passes-through-448833.html



________________________________
at-a-street-fair-a-concessionaire-sold-both-bracelets-and-necklaces-448834.html

At a street fair, a concessionaire sold both bracelets and necklaces. How much money did she take in on the sale of the bracelets?

(1) She took in a total of $540 on the sale of bracelets and necklaces.

(2) She took in $12 for each of the 25 necklaces she sold.
________________________________
a-marathon-runner-running-along-a-prescribed-route-passes-through-448833.html

A marathon runner running along a prescribed route passes through neighborhoods J, K, L, and M, not necessarily in that order. How long does it take to run from J to M?

(1) The runner averages 8 miles per hour on the route from J to M.

(2) M is 4 miles from K and 12 miles from L, but J is 15 miles from K.
DS
1 C
2 E
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2e

I have question?
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*jeffn sends image:*
C.
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*jeffn sends image:*
C

Quote:

*jeffn sends image:*
4×4×4×2×1= 128

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*jeffn sends image:*
D
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Hi, for 8.b., what should be the right approach?
9C2/15C2 or 1-P(both blue)?
Not able to understand what does both are not blue mean - does it mean that if one of them is blue that works?
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Quote:

*Pan11 writes:*
Hi, for 8.b., what should be the right approach?
9C2/15C2 or 1-P(both blue)?
Not able to understand what does both are not blue mean - does it means that if one of them is blue that works?
9C2/ 15C2 to be done

Quote:

*Pan11 writes:*
Hi, for 8.b., what should be the right approach?
9C2/15C2 or 1-P(both blue)?
Not able to understand what does both are not blue mean - does it means that if one of them is blue that works?
It is P(1st marble not a blue)× P(2nd marble not a blue)

In other terms :
P(1st not a blue): 9/15
P(2nd also not a blue): 8/14

P(both are not blue) = (9/15)×(8/14)= 12/35
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Hm but in the book the official answer is 1-P(both blue). Hence i am confused. Is the answer in the book wrong? Is there some definitive way to understand what we should use?
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Yes, but what’s the correct interpretation; and is there a rule that one must follow in case of such questions?
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