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24 Nov 2021, 06:30
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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:
55%
(hard)
Question Stats:
64% (02:11) correct
36%
(01:49)
wrong
based on 166
sessions
History
Date
Time
Result
Not Attempted Yet
In a party a certain number of drinks were served. 15 girls in the party refused to take drinks whereas 45 boys took drinks. What was the total number of boys in the party?
(1) Number of girls who took drinks was 3 times the number of boys who did not take drinks.
(2) Total number of people who took drinks was 3 times the number of people who did not take drinks.
(1) Number of girls who took drinks was 3 times the number of boys who did not take drinks.
(2) Total number of people who took drinks was 3 times the number of people who did not take drinks.
06 Aug 2023, 02:51
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Let’s use a table structure to solve this question, in which we will take four variables,
o People who drank lemonade (Drinks)
o People who didn’t drink lemonade
o Boys
o Girls
As 15 girls refused to drink lemonade whereas 45 boys drank lemonade, thus, the table will be as
follows:
Drinks No Drinks
Boys 45
Girls 15
(1) Number of girls who drank lemonade was 3 times the number of boys who did not drink lemonade.
Let’s the number of boys who did not drink lemonade as Y.
Thus the number of girls who drank lemonade was 3Y.
Hence, the table will be modified as follows:
Drinks No Drinks
Boys 45 Y 45+Y
Girls 3Y 15
Therefore, the number of boys present in the party was 45+Y.
Since we don’t know the value of Y, hence we cannot find the exact value of number of
boys present in the party;NOT sufficient.
(2) The number of people who drank lemonade was 3 times the number of people who did not drink lemonade.
Let’s say the number of people who did not drink lemonade be P.
Thus the number of people who drink lemonade is 3P.
Hence the table will be modified as follows:
Drinks No Drinks
Boys 45 P-15 P+30
Girls 15
3P P
Therefore, the number of boys present in the party was P+30.
Since we don’t know the value of P, hence we cannot find the exact value of number of
boys present in the party;NOT sufficient.
Taking (1) and (2) together,
As per statement (1), if the number of boys who did not drink lemonade was Y, then the number
of girls who drink lemonade was 3Y.
As per statement (2), the number of people who drink lemonade was 3 times the number of
people who didn’t drink lemonade.
Thus, the table will be modified as under;
Drinks No Drinks
Boys 45 Y 45+Y
Girls 3Y 15 3Y+15
3Y+45 Y+15 4Y+60
Therefore, the number of boys present in the party was 45+Y.
But based on this data we still do not have the values of Y, thus we cannot find the total
number of boys present in the party.
The correct answer is E;
both statements together are still not sufficient.
o People who drank lemonade (Drinks)
o People who didn’t drink lemonade
o Boys
o Girls
As 15 girls refused to drink lemonade whereas 45 boys drank lemonade, thus, the table will be as
follows:
Drinks No Drinks
Boys 45
Girls 15
(1) Number of girls who drank lemonade was 3 times the number of boys who did not drink lemonade.
Let’s the number of boys who did not drink lemonade as Y.
Thus the number of girls who drank lemonade was 3Y.
Hence, the table will be modified as follows:
Drinks No Drinks
Boys 45 Y 45+Y
Girls 3Y 15
Therefore, the number of boys present in the party was 45+Y.
Since we don’t know the value of Y, hence we cannot find the exact value of number of
boys present in the party;NOT sufficient.
(2) The number of people who drank lemonade was 3 times the number of people who did not drink lemonade.
Let’s say the number of people who did not drink lemonade be P.
Thus the number of people who drink lemonade is 3P.
Hence the table will be modified as follows:
Drinks No Drinks
Boys 45 P-15 P+30
Girls 15
3P P
Therefore, the number of boys present in the party was P+30.
Since we don’t know the value of P, hence we cannot find the exact value of number of
boys present in the party;NOT sufficient.
Taking (1) and (2) together,
As per statement (1), if the number of boys who did not drink lemonade was Y, then the number
of girls who drink lemonade was 3Y.
As per statement (2), the number of people who drink lemonade was 3 times the number of
people who didn’t drink lemonade.
Thus, the table will be modified as under;
Drinks No Drinks
Boys 45 Y 45+Y
Girls 3Y 15 3Y+15
3Y+45 Y+15 4Y+60
Therefore, the number of boys present in the party was 45+Y.
But based on this data we still do not have the values of Y, thus we cannot find the total
number of boys present in the party.
The correct answer is E;
both statements together are still not sufficient.
29 May 2024, 12:26
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I did not get why it is E E. Can it not be D?
As when we check the first statement, we get 45+ x for boys and 3x+15 for girls
As when we check the first statement, we get 45+ x for boys and 3x+15 for girls
