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A group of 49 consumers were offered a chance to subscribe t

This topic has 1 expert reply and 0 member replies

A group of 49 consumers were offered a chance to subscribe t

Post Mon Nov 06, 2017 10:21 pm
A group of 49 consumers were offered a chance to subscribe to three magazines: A, B, and C. Thirty-eight of the consumers subscribed to at least one of the magazines. How many of the 49 consumers subscribed to exactly two of the magazines?

(1) Twelve of the 49 consumers subscribed to all three of the magazines.
(2) Twenty of the 49 consumers subscribed to magazine A.

What's the best way to verify whether statement is sufficient?

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Post Tue Dec 12, 2017 12:48 am
ardz24 wrote:
A group of 49 consumers were offered a chance to subscribe to three magazines: A, B, and C. Thirty-eight of the consumers subscribed to at least one of the magazines. How many of the 49 consumers subscribed to exactly two of the magazines?

(1) Twelve of the 49 consumers subscribed to all three of the magazines.
(2) Twenty of the 49 consumers subscribed to magazine A.

What's the best way to verify whether statement is sufficient?
We have 49 consumers that subscribed to three magazines: A, B, and C. Given that 38 of the them subscribed to at least one of the magazines. Thus, 49 - 38 = 11 did not subscribe to any of the magazines.

We have to find out how many of the 49 consumers subscribed to exactly two of the magazines?

(1) Twelve of the 49 consumers subscribed to all three of the magazines.

The number of subsribers to only ONE and TWO magazines = 38 - 12 = 26.

We can't get the number of subsribers to only TWO magazines. Insufficient.

(2) Twenty of the 49 consumers subscribed to magazine A.

Clearly insufficient.

(1) and (2) together

We have the number of subsribers to only ONE and only TWO magazines = 26.

The number of subsribers to only TWO magazines = 26 - the number of subsribers to magazine A - the number of subsribers to magazine B -
the number of subsribers to magazine C = 26 - 20 - the number of subsribers to magazine B - the number of subsribers to magazine C

We can't get the value of the number of subsribers to only TWO magazines. Insufficient.

The correct answer: E

Hope this helps!

-Jay
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