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Bunuel
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Jose purchased several large and small dressers at a flea market to ad 09 Apr 2020, 02:14
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Jose purchased several large and small dressers at a flea market to add to his antique furniture collection. The large dressers cost $31 apiece, while the small dressers cost $25 apiece. If Jose did not purchase any other items at the flea market, how many small dressers did he buy?

(1) Jose purchased as many small dressers as large dressers.

(2) In total, Jose spent $280 at the flea market.
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B
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Jose purchased several large and small dressers at a flea market to ad Updated on: 10 Apr 2020, 07:53
Originally posted by Archit3110 on 09 Apr 2020, 02:54.
Last edited by Archit3110 on 10 Apr 2020, 07:53, edited 1 time in total.
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target is to find number of small dressers purchased

given cost of dressers small = $25 and large = $31

#1
Jose purchased as many small dressers as large dressers.
small= large
insufficient
#2
In total, Jose spent $280 at the flea market.

small * 25+ large*31= 280
only possible when
31*5+5*25
sufficient
IMO B


Jose purchased several large and small dressers at a flea market to add to his antique furniture collection. The large dressers cost $31 apiece, while the small dressers cost $25 apiece. If Jose did not purchase any other items at the flea market, how many small dressers did he buy?

(1) Jose purchased as many small dressers as large dressers.

(2) In total, Jose spent $280 at the flea market.
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Jose purchased several large and small dressers at a flea market to ad 09 Apr 2020, 03:13
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Large dresses, L nos, $31 each
Small DRESSERS, S nos, $25 each

(1) L=S
We don't know the total spend of Jose. Thus, we cannot determine the number of small dressers bought.
NOT SUFFICIENT

(2) 31*L+25*S=280
Because L and S are positive integers, the only possible (L, S) combination is L=S=5 nos. Thus, there must be 5 nos. of small dressers bought.
SUFFICIENT

FINAL ANSWER IS (B)

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Jose purchased several large and small dressers at a flea market to ad 09 Apr 2020, 03:39
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Cost of a large dresser(L) = $31, Cost of a small dresser(S) = $25. We are to determine S.

To save time in solving this question, it is better to combine both statements.
1+2
Total cost of dressers bought is 280 and the number of small and large dressers are the same.
\(31S+25S=280\)
\(56S=280\)
\(S=5\)

Clearly, we can see that statement 1 is insufficient, hence no need to bother with it.
Step two is to find out if there is any other combination of \(31L+25S=280\), where \(L\) and \(S\) are positive integers.
\(25S=280-31L\)
\(S=\frac{56}{5} - \frac{31}{25}L\)
The only condition for which S can be a positive integer is if S=5.
Therefore, statement 2 alone is sufficient.

The answer is therefore B.
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Jose purchased several large and small dressers at a flea market to ad 09 Apr 2020, 04:19
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Quote:
Jose purchased several large and small dressers at a flea market to add to his antique furniture collection. The large dressers cost $31 apiece, while the small dressers cost $25 apiece. If Jose did not purchase any other items at the flea market, how many small dressers did he buy?

(1) Jose purchased as many small dressers as large dressers.

(2) In total, Jose spent $280 at the flea market.

(1) insufic

(2) sufic
31a+25b=280
31a's unit digit must be 5 to add to 25b and become 0
31*5=155, 280-155=125=25*5
so, 5 large and 5 small

ans (B)
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Jose purchased several large and small dressers at a flea market to ad 09 Apr 2020, 04:41
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large costs-31, no.of large-l
small costs-25, no.of small-s

(1) Jose purchased as many small dressers as large dressers.
i.e l=s......but not going to help us in knowing the count of each................INSUFFICIENT

(2) In total, Jose spent $280 at the flea market.
i.e 31l+25s=280..............one equation 2 unknowns...........INSUFFICIENT

combing both we can get the number price of each............SUFFICIENT

OA:C
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Jose purchased several large and small dressers at a flea market to ad 09 Apr 2020, 07:47
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Wrote B, since only 1 combination (5 large and 5 small) is possible if Jose "spent" a total of $280.

The answer would have been D if Jose "had" $280 with him aka the spending was discretionary since in that case, Jose could have either got 8 large or 11 small dressers or some combination of large and small.
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Jose purchased several large and small dressers at a flea market to ad 09 Apr 2020, 07:56
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Let Large dresser qty=L
Small dresser qty=S
Given= Cost of large dresser= 31$/piece
Cost of small dresser=25$/piece


STA-- L=S. L & S can take any positive integer value.

STB---31L+25Y=280 now , only L=5,Y=5 solves the equation (as L & Y can take positive integer values)
Hence ,STB by itself is sufficient

Ans B
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Jose purchased several large and small dressers at a flea market to ad 09 Apr 2020, 10:25
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Jose purchased several large and small dressers at a flea market to add to his antique furniture collection. The large dressers cost $31 apiece, while the small dressers cost $25 apiece. If Jose did not purchase any other items at the flea market, how many small dressers did he buy?

31*l + 25*s = 280. s = ?

(1) Jose purchased as many small dressers as large dressers.
l = s
Any number of values are possible.

INSUFFICIENT.

(2) In total, Jose spent $280 at the flea market.
31*l + 25*s = 280
Only possibility is l = 5 and s = 5 as both l and s are positive integers.

SUFFICIENT.

Answer B.
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Jose purchased several large and small dressers at a flea market to ad Updated on: 10 Apr 2020, 12:19
Originally posted by monikakumar on 09 Apr 2020, 20:54.
Last edited by monikakumar on 10 Apr 2020, 12:19, edited 1 time in total.
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Jose purchased several large and small dressers at a flea market to add to his antique furniture collection. The large dressers cost $31 apiece, while the small dressers cost $25 apiece. If Jose did not purchase any other items at the flea market, how many small dressers did he buy?

(1) Jose purchased as many small dressers as large dressers.

(2) In total, Jose spent $280 at the flea market.

stem: x -> no of small dress, y-> no of large dress

1) x=y, not sufficient for x
2) x25+y31=280, x=y=5, sufficient
so Ans B
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Jose purchased several large and small dressers at a flea market to ad 09 Apr 2020, 23:07
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Jose purchased several large and small dressers at a flea market to add to his antique furniture collection. The large dressers cost $31 apiece, while the small dressers cost $25 apiece. If Jose did not purchase any other items at the flea market, how many small dressers did he buy?

let small be x and large be y


(1) Jose purchased as many small dressers as large dressers.
given x = y
but we cant say what is the maximum value.
Not sufficient

(2) In total, Jose spent $280 at the flea market.

given 31y+25x = 280

x and y has to be positive integers

or 25x= 280-31y
only value satisfy that x and y are both integers is
x= 5 and y =5
thus sufficient B

Thus B is the answer
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Jose purchased several large and small dressers at a flea market to ad 19 Jun 2024, 10:48
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D shall be the answer.

Opt 1: if no of both furniture is x then 31x+25x=280-> x= 5 Sufficient

Opt 2: as numbers of large or small dresser is integer value…31x+25y=280….only possible solution is x=y=5 sufficient

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Jose purchased several large and small dressers at a flea market to ad 22 Jun 2024, 13:43
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This is a classic C trap question.

Taking the number of Larger dressers as L and number of small dressers as S.

Statement 1 : This simply means L = S and it doesn't help in finding the S. NOT SUFFICIENT


Statement 2: 31L + 25S = 280

On closely observing, there will be only one solution to this equation.
We know that anything multiplied to 25 will end up with either 5 or 0 as a unit digit and since we need 0 as the unit digit of the final answer, this can only happen when we have 5 as a unit digit from 31L.

Start by finding the closest multiple of 5 with 31. This happens to be 155 , which means L = 5.

Now putting this back in our equation.

31*5 + 25S = 280
155 + 25S = 280
25S = 125
S = 5

This is our answer. Hence Statement 2 is SUFFICIENT
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Jose purchased several large and small dressers at a flea market to ad 28 Dec 2024, 06:57
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All explanations are hidden Bunuel
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Jose purchased several large and small dressers at a flea market to ad 28 Dec 2024, 07:17
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Ab295
All explanations are hidden Bunuel

Fixed that. Thank you!
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