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poojaarora1818
Joined: 30 Jul 2019
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08 Jul 2025, 13:08
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Bookmarks
Solution:
There are five souvenir items: magnets, postcards, bookmarks, and keychains, packed into identical gift bags. The question asks if more than five gift bags were packed, then how many gift bags were packed?
(1) A total of 24 magnets, 36 postcards, 48 bookmarks, and 60 keychains were packed. Insufficient
(2) Each gift bag contained magnets, postcards, bookmarks, and keychains in the ratio 2:3:4:5, respectively. Insufficient
But if we combine both statements, we will get a conclusive answer. As we know total of all items would be 168, and if we distribute them into their respective ratios, we will get an answer. 168 is divided into the ratios 2:3:4:5, respectively, and we will get 12 magnets, 12 as postcards, 12 as bookmarks, and 12 as keychains packed in one gift pack. That tells us that not more than five gift bags were packed.
Hence, option C
There are five souvenir items: magnets, postcards, bookmarks, and keychains, packed into identical gift bags. The question asks if more than five gift bags were packed, then how many gift bags were packed?
(1) A total of 24 magnets, 36 postcards, 48 bookmarks, and 60 keychains were packed. Insufficient
(2) Each gift bag contained magnets, postcards, bookmarks, and keychains in the ratio 2:3:4:5, respectively. Insufficient
But if we combine both statements, we will get a conclusive answer. As we know total of all items would be 168, and if we distribute them into their respective ratios, we will get an answer. 168 is divided into the ratios 2:3:4:5, respectively, and we will get 12 magnets, 12 as postcards, 12 as bookmarks, and 12 as keychains packed in one gift pack. That tells us that not more than five gift bags were packed.
Hence, option C
Bunuel
08 Jul 2025, 13:47
Kudos
Bookmarks
question stem says that more than 05 bags were packed
from 1:
we can factorise the given no of items to find that either 6 bags are packed with 4,6,8 & 10 (M,P,B ,K) in each bag or 12 bags with 2,3,4,5 items in each bag---NON SUFF.
from 2 :
it tells just the ratio of these items in each bag, but actual no of items can vary
---NON SUFF
together its SUFF to conclude that total of 12 bags are each filled with 2,3,4,5 of (M,P,B.K)
C IMO
from 1:
we can factorise the given no of items to find that either 6 bags are packed with 4,6,8 & 10 (M,P,B ,K) in each bag or 12 bags with 2,3,4,5 items in each bag---NON SUFF.
from 2 :
it tells just the ratio of these items in each bag, but actual no of items can vary
---NON SUFF
together its SUFF to conclude that total of 12 bags are each filled with 2,3,4,5 of (M,P,B.K)
C IMO
08 Jul 2025, 14:32
Kudos
Bookmarks
M+P+B+K= Total items
"Identical giftbags for visitors" = the same number of items per bag = the number in each bag from the total number of each item must share a common divisor.
we're also told that the number of bags >5
statement 1:
provides exact totals for each item, so we can figure out what the common factor or divisor is that creates a number of giftbags greater than 5; however, both 6 and 12 work in this instance
that is, if 6 = the number of giftbags, then the ratio is: 4m:6p:8b:10k ; if the number of bags is 12, then the ratio of each item is half of that. when two different sets of numbers satisfy the equation, the statement --> insufficient
Statement 2: provides ratio info i.e., 2m:3p:4b:5k; however, no information is provided on the Total amount.
if we allow Magnets, Postcards, Bookmarks, and Keychains to all represent parts of some Total of X items, then all this statement tells us is that there are 14parts, or 14x, but we have no information on X. --> insufficient
Together: we know that the number of bags = 12
i.e., 12 is the common divisor/factor of the totals provided in statement 1 that leads to the ratio of elements provided in statement 2. Answer: C
"Identical giftbags for visitors" = the same number of items per bag = the number in each bag from the total number of each item must share a common divisor.
we're also told that the number of bags >5
statement 1:
provides exact totals for each item, so we can figure out what the common factor or divisor is that creates a number of giftbags greater than 5; however, both 6 and 12 work in this instance
that is, if 6 = the number of giftbags, then the ratio is: 4m:6p:8b:10k ; if the number of bags is 12, then the ratio of each item is half of that. when two different sets of numbers satisfy the equation, the statement --> insufficient
Statement 2: provides ratio info i.e., 2m:3p:4b:5k; however, no information is provided on the Total amount.
if we allow Magnets, Postcards, Bookmarks, and Keychains to all represent parts of some Total of X items, then all this statement tells us is that there are 14parts, or 14x, but we have no information on X. --> insufficient
Together: we know that the number of bags = 12
i.e., 12 is the common divisor/factor of the totals provided in statement 1 that leads to the ratio of elements provided in statement 2. Answer: C
Bunuel
