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?
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?
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?
Show Hint
Break the three-month data into only-one-month, exactly-two-month and all-three-month regions, then add only the July-August and August-September two-month regions, since July and September are not adjacent.
Updated On: Jul 15, 2026
- 7
- 9
- 12
- 14
Show Solution
Verified By Collegedunia
The Correct Option is B
Solution and Explanation
Step 1: Define the overlap regions.
Let JA, JS, AS represent people who read exactly two of the three months, July-August only, July-September only and August-September only, and JAS represent people who read all three months.
Step 2: Use the September breakdown.
Only September \(= 18\). September total \(= 28\). September but not August \(= 23\), so September and August together \(= 28 - 23 = 5\), which means \(AS + JAS = 5\).
Step 3: Use the July-September overlap.
September and July \(= 8\), so \(JS + JAS = 8\).
Step 4: Find the two-only overlaps for September.
September total minus only-September gives all overlaps involving September: \(28 - 18 = 10 = JS + AS + JAS\). Since \(AS + JAS = 5\), we get \(JS = 10 - 5 = 5\). Then from \(JS + JAS = 8\), \(JAS = 8 - 5 = 3\). And from \(AS + JAS = 5\), \(AS = 5 - 3 = 2\).
Step 5: Use the July breakdown to find JA.
July and August together \(= 10 = JA + JAS\), so \(JA = 10 - 3 = 7\).
Step 6: Add up the consecutive-month overlaps.
Exactly two consecutive months means July-August only or August-September only, since July and September are not consecutive as August lies between them. This is \(JA + AS = 7 + 2 = 9\). This matches option (2).
Let JA, JS, AS represent people who read exactly two of the three months, July-August only, July-September only and August-September only, and JAS represent people who read all three months.
Step 2: Use the September breakdown.
Only September \(= 18\). September total \(= 28\). September but not August \(= 23\), so September and August together \(= 28 - 23 = 5\), which means \(AS + JAS = 5\).
Step 3: Use the July-September overlap.
September and July \(= 8\), so \(JS + JAS = 8\).
Step 4: Find the two-only overlaps for September.
September total minus only-September gives all overlaps involving September: \(28 - 18 = 10 = JS + AS + JAS\). Since \(AS + JAS = 5\), we get \(JS = 10 - 5 = 5\). Then from \(JS + JAS = 8\), \(JAS = 8 - 5 = 3\). And from \(AS + JAS = 5\), \(AS = 5 - 3 = 2\).
Step 5: Use the July breakdown to find JA.
July and August together \(= 10 = JA + JAS\), so \(JA = 10 - 3 = 7\).
Step 6: Add up the consecutive-month overlaps.
Exactly two consecutive months means July-August only or August-September only, since July and September are not consecutive as August lies between them. This is \(JA + AS = 7 + 2 = 9\). This matches option (2).
Was this answer helpful?
0
0
Top SNAP Quantitative Aptitude Questions
- Rahul starts a business with ₹ 8000. After $6$ months, Sanjay joins with some capital. If their profits after one year are equal, find Sanjay's investment.
- A watch is bought for ₹ 1950 in cash and sold for ₹ 2200 on one-year credit. If the interest rate is $10\%$ p.a., find the trader's gain/loss.
- An article is listed at ₹ 65. A customer bought this article for ₹ 56.16 and got two successive discounts, the first being $10\%$. What was the other discount rate allowed by the shopkeeper?
A company has $50{,}000$ preferred shares with dividend $20\%$ and $20{,}000$ common shares; par value of each share is ₹ 10. The total profit is $₹ 1{,}80{,}000$, of which $₹ 30{,}000$ is kept in reserve and the rest distributed to shareholders. Find the dividend percent paid to common shareholders.
A man buys apples at a certain price per dozen and sells them at eight times that price per hundred. What is his gain or loss percent?
View More Questions
Top SNAP Set Theory Questions
Top SNAP Questions
- In a retail outlet, the average revenue was Rs.10,000 per day over a 30 day period. During this period, the average revenue on weekends (total 8 days) was Rs. 20,000 per day. What was the average daily revenue on weekdays?
- Two different prime numbers X and Y, both are greater than 2, then which of the following must be true?
- It takes 6 hours for pump A, used alone, to fill a tank of water. Pump B alone takes 8 hours to fill the same tank. A, B and another pump C all together fill the tank in 2 hours. How long would pump C take, used alone, to fill the tank?
- A swimming pool can be filled by pipe A in 3 hours and by pipe B in 6 hours, each pump working on its own. At 9 am, pump A is started. At what time will the swimming pool be filled if pump B is started at 10 am?
- The sum of prime numbers that are greater than 60, but less than 70 is :
View More Questions