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25 Jul 2024, 01:30
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E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
35%
(medium)
Question Stats:
75% (01:58) correct
25%
(02:12)
wrong
based on 151
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On a particular day, Mary Inklewood made a total of 149 shillings from selling several quantities of each identical trousers and each identical shirts. If on that day, the quantity of identical trousers she sold is greater than the price of each pairs of the identical trousers she sold, how many pairs of the identical trousers did she sell that day?
(1) Mary Inklewood's total sales on the identical shirts was 135 shillings
(2) Mary Inklewood's total sales on the identical trousers was 14 shillings.
(1) Mary Inklewood's total sales on the identical shirts was 135 shillings
(2) Mary Inklewood's total sales on the identical trousers was 14 shillings.
25 Jul 2024, 03:48
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price of each trousers & shirt - \(t\), \(s\)
quantity of each trousers & shirt - \(x\), \(y\)
\(tx+sy=149\)
quantity x > price of pair of trousers, t
\(x>2t\), \(\frac{x}{2}>t\)
Statement 1: Mary Inklewood's total sales on the identical shirts was 135 shillings
\(sy=135\)
\(tx=149-135=14\)
\(\frac{x}{2}*x>14\)
\(x^2>28\)
\(x>5\)
NOT SUFFICIENT
or in simple way: \(tx=14\), quantity must be an positive integer. Than \(x\) is either \(7\) or \(14\)
Statement 2: Mary Inklewood's total sales on the identical trousers was 14 shillings.
\(tx=14\)
same as statement 1
NOT SUFFICIENT
Answer is E
quantity of each trousers & shirt - \(x\), \(y\)
\(tx+sy=149\)
quantity x > price of pair of trousers, t
\(x>2t\), \(\frac{x}{2}>t\)
Statement 1: Mary Inklewood's total sales on the identical shirts was 135 shillings
\(sy=135\)
\(tx=149-135=14\)
\(\frac{x}{2}*x>14\)
\(x^2>28\)
\(x>5\)
NOT SUFFICIENT
or in simple way: \(tx=14\), quantity must be an positive integer. Than \(x\) is either \(7\) or \(14\)
Statement 2: Mary Inklewood's total sales on the identical trousers was 14 shillings.
\(tx=14\)
same as statement 1
NOT SUFFICIENT
Answer is E
General Discussion
25 Jul 2024, 03:00
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(1) Mary Inklewood's total sales on the identical shirts was 135 shillings
From this one can workout that the total sales on identical trousers was 14 shillings. Without more information it is impossible to know the exact number of trousers she sold, all one can deduce is that she sold more than 14 trousers.
INSUFFICIENT
(2) Mary Inklewood's total sales on the identical trousers was 14 shillings.
Provides the same info as statement 1, but in reverse.
INSUFFICIENT
(1+2)
Putting the two statements together is of no use as they provide the same info. All one can say for certainty is that she sold more than 14 trousers.
INSUFFICIENT
ANSWER E
From this one can workout that the total sales on identical trousers was 14 shillings. Without more information it is impossible to know the exact number of trousers she sold, all one can deduce is that she sold more than 14 trousers.
INSUFFICIENT
(2) Mary Inklewood's total sales on the identical trousers was 14 shillings.
Provides the same info as statement 1, but in reverse.
INSUFFICIENT
(1+2)
Putting the two statements together is of no use as they provide the same info. All one can say for certainty is that she sold more than 14 trousers.
INSUFFICIENT
ANSWER E
