BREAKING: Target Test Prep releases Brand New 2026 On Demand GMAT prep course

Redeem

A question for a starter... From: Vookeh dyzynah

This topic has expert replies
Post new topic Post Reply
Previous Topic Next Topic
User avatar
Legendary Member
Posts: 934
Joined: Tue Nov 09, 2010 5:16 am
Location: AAMCHI MUMBAI LOCAL
Thanked: 63 times
Followed by:14 members

A question for a starter... From: Vookeh dyzynah

by [email protected] » Wed Apr 25, 2012 11:13 pm
In a survey of 100 families the no. that read recent issues of a certain monthly magazine were found to be;
September only 18
September but not August 23
September & July 8
September 26
July 48
July & August 8
None of the 3 months 24.
With the help of the set theory find;
(a)How many read the August issue?
(b)How many read 2 consecutive issues?
(c)How many read the July issue if and only if they did not read the August issue?
(d)How many read September & August issues but did not read the July issue?
There it is am looking forward to your response.




A good question from a student at BTG... a real tricky one...
IT IS TIME TO BEAT THE GMAT

LEARNING, APPLICATION AND TIMING IS THE FACT OF GMAT AND LIFE AS WELL... KEEP PLAYING!!!

Whenever you feel that my post really helped you to learn something new, please press on the 'THANK' button.
Top
Source: — Problem Solving |
User avatar
Master | Next Rank: 500 Posts
Posts: 210
Joined: Thu Mar 08, 2012 11:24 pm
Thanked: 62 times
Followed by:3 members

by niketdoshi123 » Wed Apr 25, 2012 11:50 pm
(a)How many read the August issue?
(b)How many read 2 consecutive issues?
(c)How many read the July issue if and only if they did not read the August issue?
(d)How many read September & August issues but did not read the July issue?
There it is am looking forward to your response.
IMO
a)18
b)8
c)40
d)0

Am I right??
Top
User avatar
Legendary Member
Posts: 934
Joined: Tue Nov 09, 2010 5:16 am
Location: AAMCHI MUMBAI LOCAL
Thanked: 63 times
Followed by:14 members

by [email protected] » Thu Apr 26, 2012 2:29 am
How did you go ahead to find the answers. I did not understand the statement September but not August...

Could you please illustrate the ways that you got these answers...
IT IS TIME TO BEAT THE GMAT

LEARNING, APPLICATION AND TIMING IS THE FACT OF GMAT AND LIFE AS WELL... KEEP PLAYING!!!

Whenever you feel that my post really helped you to learn something new, please press on the 'THANK' button.
Top
Master | Next Rank: 500 Posts
Posts: 142
Joined: Thu Apr 26, 2012 3:24 am
Location: India
Thanked: 28 times

by mathbyvemuri » Thu Apr 26, 2012 3:50 am
Image
[/img]

Hi, check the Venn digram that I have uploaded. We can directly interpret some values from the given content. Some other values can be interpreted with a small calculation.
(a) How many read the August issue?
Answer = 10+3+5 = 18
(b)How many read 2 consecutive issues?
Answer = (only-2 consecutive) + (3-consecutive)
= (July & Aug) + (Aug & Sep) + (Jul & Aug & Sep)
= 5+0+3 = 8
(c)How many read the July issue if and only if they did not read the August issue?
Answer = July but not Aug
= (Only-July) + (July & Sep)
= 35+5 = 40
(d)How many read September & August issues but did not read the July issue?
Answer = "Sep & Aug" but not Jul
= 0

I think I am clear here,
All the best
Ravisankar Vemuri
Top
User avatar
Master | Next Rank: 500 Posts
Posts: 210
Joined: Thu Mar 08, 2012 11:24 pm
Thanked: 62 times
Followed by:3 members

by niketdoshi123 » Thu Apr 26, 2012 4:34 am
Image
September only = b = 18
September but not August = b+d = 23 (I guess the statement is little ambiguous.look at the Venn diagram)
September and July = d+g =8
September = b+d+g+f = 26
July = a+d+g+e = 48
July and August = e+g =8
none of the three = 24
total = 100
a+b+c+d+e+f+g = 100-24 = 76

b+d = 23
b= 18
d= 23-18 = 5;
d+g = 8
d= 5
g= 8-5=3;

b+d+g+f= 26
b+d+g = 26
f=0;
a+d+g+e = 48
e+g = 8 & d= 5
a=48-13=35;
e+g = 8
g=3
e=8-3=5;
a+b+c+d+e+f+g = 76
c=76-a-b-d-e-f-g
c=76-35-18-5-5-0-3=10;
(a)How many read the August issue?
[/quote
August = c+e+g+f = 18
(b)How many read 2 consecutive issues?
= e+g+f = 8
(c)How many read the July issue if and only if they did not read the August issue?
= a+d =40
(d)How many read September & August issues but did not read the July issue?
=f = 0
Top
Senior | Next Rank: 100 Posts
Posts: 46
Joined: Sun Dec 18, 2011 7:11 pm
Thanked: 1 times

by sathishkumarjva9888 » Thu Apr 26, 2012 7:58 am
Quote:
(b)How many read 2 consecutive issues?

e+g+f = 8

In this answer, shouldnt we eliminate g. The question is only about people who read issues of July-August and August-September. But g includes even July-september.

As per my calculation, the answer to b) is 5.

Is that correct.
Top
User avatar
Legendary Member
Posts: 934
Joined: Tue Nov 09, 2010 5:16 am
Location: AAMCHI MUMBAI LOCAL
Thanked: 63 times
Followed by:14 members

by [email protected] » Thu Apr 26, 2012 10:16 am
According to the basic Sets theory, whatever you have done is correct...

All the answers should be correct...

I tried the question and got the same values.

Vookeh dyzynah please post the OA...asap
IT IS TIME TO BEAT THE GMAT

LEARNING, APPLICATION AND TIMING IS THE FACT OF GMAT AND LIFE AS WELL... KEEP PLAYING!!!

Whenever you feel that my post really helped you to learn something new, please press on the 'THANK' button.
Top
Master | Next Rank: 500 Posts
Posts: 142
Joined: Thu Apr 26, 2012 3:24 am
Location: India
Thanked: 28 times

by mathbyvemuri » Thu Apr 26, 2012 11:48 pm
Satish, it is asked for the count of people who read two consecutive editions, which also includes the people who read three consecutive editions as well. Had it been asked for the count of people who read two consecutive editions only, the answer would have been 5 (5+0). This is my logic. But let us know what the Official answer is saying? Amit.trivedi, what's the official answer for this?
Top
Post new topic Post Reply
• Page 1 of 1