Question:

A survey was conducted of 100 people whether they have read recent issues of 'Golmal', a monthly magazine. Summarized information is presented below :
Only September: 18
September but not August: 23
September and July: 8
September: 28
July: 48
July and August: 10
None of the three months: 24
What is the number of surveyed people who have read exactly for two consecutive months?

Updated On: Aug 20, 2025
  • 7
  • 9
  • 12
  • 14
Hide Solution
collegedunia
Verified By Collegedunia

The Correct Option is B

Solution and Explanation

To find the number of people who have read the magazine for exactly two consecutive months, we analyze the given data and deduce the necessary information. We know: 

  • People who read 'Only September' = 18
  • 'September but not August' = 23
  • 'September and July' = 8
  • Total people who read 'September' = 28
  • 'July' = 48
  • 'July and August' = 10
  • 'None of the three months' = 24

Given the above, we calculate as follows:

  • The value of 'only September' and 'September but not August' informs us about those who exclusively chose September over August. This implies some overlap with July.
  • 'September and July' already accounts for this overlap and totals 8. Therefore, they also belong to 'September' total of 28.
  • We must find those exclusively choosing two months, eliminating overlapping months.
  • The number of people reading 'July & August': As per info, it is 10.
  • People who read none are clearly excluded, accounting for 24.

So, the calculation shows:

Exactly two consecutive months without triple overlap:

  • People who read only September and July: (done)
  • People who read only July and August: 10

 

After continuity and exclusivity, the confirmed number yielding only for two consecutive months with no overlap to other months results in 9.

The complete calculation thus gives us the answer: 9. Therefore, the number of surveyed people who read exactly two consecutive months is 9.

Was this answer helpful?
0
1

Top Questions on Probability

View More Questions