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14 May 2020, 08:27
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A
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
75%
(hard)
Question Stats:
55% (02:31) correct
45%
(02:38)
wrong
based on 130
sessions
History
Date
Time
Result
Not Attempted Yet
Peter gifted a packet of chocolates to each of the guests who came to his birthday party. Each packet was identical and contained x chocolates of flavor A, y chocolates of flavor B and z chocolates of flavor C, where x, y and z are positive integers. If the total number of chocolates in a packet was not greater than 50, then how many guests attended his birthday party?
(1) Peter used a total of 21 chocolates of flavor A, 28 chocolates of flavor B and 42 chocolates of flavor C to prepare all the packets.
(2) The numbers of chocolates of flavors A, B and C in each packet were in the ratio 3: 4: 6 respectively.
(1) Peter used a total of 21 chocolates of flavor A, 28 chocolates of flavor B and 42 chocolates of flavor C to prepare all the packets.
(2) The numbers of chocolates of flavors A, B and C in each packet were in the ratio 3: 4: 6 respectively.
15 May 2020, 00:40
Kudos
Bookmarks
Statement 1-
Number of guests must be the common factor of 21, 28 and 42 or factor of GCD(21,28,42)=7; hence number of guests can be 1 or 7
If number of guests = 1; number of chocolates in a packet \(= 21+28+42 > 50\) (not possible)
If number of guests = 7; number of chocolates in a packet \(= \frac{21}{7}+\frac{28}{7}+\frac{42}{7} = 13\)
Sufficient
Statement 2-
Number of chocolates in each pack is multiple of 13 that is less than 50 [13, 26 or 39]
We have no idea about number of guests
Insufficient
Number of guests must be the common factor of 21, 28 and 42 or factor of GCD(21,28,42)=7; hence number of guests can be 1 or 7
If number of guests = 1; number of chocolates in a packet \(= 21+28+42 > 50\) (not possible)
If number of guests = 7; number of chocolates in a packet \(= \frac{21}{7}+\frac{28}{7}+\frac{42}{7} = 13\)
Sufficient
Statement 2-
Number of chocolates in each pack is multiple of 13 that is less than 50 [13, 26 or 39]
We have no idea about number of guests
Insufficient
Bunuel
Peter gifted a packet of chocolates to each of the guests who came to his birthday party. Each packet was identical and contained x chocolates of flavor A, y chocolates of flavor B and z chocolates of flavor C, where x, y and z are positive integers. If the total number of chocolates in a packet was not greater than 50, then how many guests attended his birthday party?
(1) Peter used a total of 21 chocolates of flavor A, 28 chocolates of flavor B and 42 chocolates of flavor C to prepare all the packets.
(2) The numbers of chocolates of flavors A, B and C in each packet were in the ratio 3: 4: 6 respectively.
(1) Peter used a total of 21 chocolates of flavor A, 28 chocolates of flavor B and 42 chocolates of flavor C to prepare all the packets.
(2) The numbers of chocolates of flavors A, B and C in each packet were in the ratio 3: 4: 6 respectively.
05 Jan 2021, 22:16
Kudos
Bookmarks
nick1816
Statement 1-
Number of guests must be the common factor of 21, 28 and 42 or factor of GCD(21,28,42)=7; hence number of guests can be 1 or 7
If number of guests = 1; number of chocolates in a packet \(= 21+28+42 > 50\) (not possible)
If number of guests = 7; number of chocolates in a packet \(= \frac{21}{7}+\frac{28}{7}+\frac{42}{7} = 13\)
Sufficient
Statement 2-
Number of chocolates in each pack is multiple of 13 that is less than 50 [13, 26 or 39]
We have no idea about number of guests [ can be from 1 to infinity]
Insufficient
Number of guests must be the common factor of 21, 28 and 42 or factor of GCD(21,28,42)=7; hence number of guests can be 1 or 7
If number of guests = 1; number of chocolates in a packet \(= 21+28+42 > 50\) (not possible)
If number of guests = 7; number of chocolates in a packet \(= \frac{21}{7}+\frac{28}{7}+\frac{42}{7} = 13\)
Sufficient
Statement 2-
Number of chocolates in each pack is multiple of 13 that is less than 50 [13, 26 or 39]
We have no idea about number of guests [ can be from 1 to infinity]
Insufficient
Bunuel
Peter gifted a packet of chocolates to each of the guests who came to his birthday party. Each packet was identical and contained x chocolates of flavor A, y chocolates of flavor B and z chocolates of flavor C, where x, y and z are positive integers. If the total number of chocolates in a packet was not greater than 50, then how many guests attended his birthday party?
(1) Peter used a total of 21 chocolates of flavor A, 28 chocolates of flavor B and 42 chocolates of flavor C to prepare all the packets.
(2) The numbers of chocolates of flavors A, B and C in each packet were in the ratio 3: 4: 6 respectively.
(1) Peter used a total of 21 chocolates of flavor A, 28 chocolates of flavor B and 42 chocolates of flavor C to prepare all the packets.
(2) The numbers of chocolates of flavors A, B and C in each packet were in the ratio 3: 4: 6 respectively.
Hi Nick ,
Could you please explain me why you are taking the LCM of the number of chocolates of each flavour to find out the number of guests .
Number of guests can be anything ... then why we are talking the LCM to find the same ...
Am I missing something , kindly guide
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