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10 Oct 2019, 21:28
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B
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:
73% (02:26) correct
27%
(02:05)
wrong
based on 98
sessions
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In 1990 850 million movie tickets were sold in the United States. One fifth of those tickets were bought by people over the age of 50. Did people under the age of 20 buy more than 425 million movie tickets in 1990?
(1) In 1990, people under the age of 20 bought between two and three times as many tickets as were bought by people over the age of fifty.
(2) In 1990, people under the age of 20 spent $2.2 billion more on movie tickets than did people over the age of 50, with both groups spending an average (arithmetic mean) of $6 per ticket.
10 Oct 2019, 21:56
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from the question stem, we know that total ticket sold = 850million. tickets bought by those aged over 50years, y, = 850/5 = 170million
we are to determine whether those aged below 20 years, x, bought more than 425million tickets.
statement 1: 2y<x<3y
which implies 340million<x<510million
not sufficient, because from the given range x can be 341 million in which case we could conclude No, those aged below 20 bought less than 425million tickets or x can be 500million in which case we could conclude Yes, those aged below 20 bought more than 425million tickets.
statement 2: x>170million + 2,200million/6
implying x>503million
this sufficient since we can conclude that those aged below 20 years bought more than 425million tickets, hence the answer is Yes to the question posed.
The answer is therefore B.
we are to determine whether those aged below 20 years, x, bought more than 425million tickets.
statement 1: 2y<x<3y
which implies 340million<x<510million
not sufficient, because from the given range x can be 341 million in which case we could conclude No, those aged below 20 bought less than 425million tickets or x can be 500million in which case we could conclude Yes, those aged below 20 bought more than 425million tickets.
statement 2: x>170million + 2,200million/6
implying x>503million
this sufficient since we can conclude that those aged below 20 years bought more than 425million tickets, hence the answer is Yes to the question posed.
The answer is therefore B.
10 Oct 2019, 22:22
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Total 850 million movie tickets sold.
1/5 were bought by people, aged over 50 = 170 million
4/5 were bought by people, aged less than 50 = 680 million
Question stem asked to find whether movie tickets bought by people aged less than 20 is more than 425 million? It can find if we have information above tickets bought by people aged above 20 to less than 50.
(1) In 1990, people under the age of 20 bought between two and three times as many tickets as were bought by people over the age of fifty.
Tickets bought by people aged <20 = 2*170 to 3*170 = 340 to 510 million
Hence, it can be more than 425 million or less than million.
Insufficient.
(2) In 1990, people under the age of 20 spent $2.2 billion more on movie tickets than did people over the age of 50, with both groups spending an average (arithmetic mean) of $6 per ticket.
People aged >50, spent money on movie tickets = $ x, People aged < 20, spent money on movie tickets = $ x + 2.2 million
No. of people People aged >50 = M and No. of people People aged < 20 = N
Mean of tickets bought by both people = $ 6/ticket,
6 = M*x + N* (x+2.2) /M+N. Here, one equation with three unknowns can not yield unique solution. Hence, insufficient.
1) + 2)
Still M, N and x are unknown. hence insufficient.
Ans. E.
1/5 were bought by people, aged over 50 = 170 million
4/5 were bought by people, aged less than 50 = 680 million
Question stem asked to find whether movie tickets bought by people aged less than 20 is more than 425 million? It can find if we have information above tickets bought by people aged above 20 to less than 50.
(1) In 1990, people under the age of 20 bought between two and three times as many tickets as were bought by people over the age of fifty.
Tickets bought by people aged <20 = 2*170 to 3*170 = 340 to 510 million
Hence, it can be more than 425 million or less than million.
Insufficient.
(2) In 1990, people under the age of 20 spent $2.2 billion more on movie tickets than did people over the age of 50, with both groups spending an average (arithmetic mean) of $6 per ticket.
People aged >50, spent money on movie tickets = $ x, People aged < 20, spent money on movie tickets = $ x + 2.2 million
No. of people People aged >50 = M and No. of people People aged < 20 = N
Mean of tickets bought by both people = $ 6/ticket,
6 = M*x + N* (x+2.2) /M+N. Here, one equation with three unknowns can not yield unique solution. Hence, insufficient.
1) + 2)
Still M, N and x are unknown. hence insufficient.
Ans. E.
