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A student studying the weather for d days observed that
(i) It rained on 7 days, morning or afternoon,
(ii) When it rained in the afternoon, it was clear in the morning,
(iii) There were five clear afternoons, and
(iv) There were six clear mornings. Then, d equals.
  • a)
    3
  • b)
    7
  • c)
    11
  • d)
    9
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
A student studying the weather for d days observed that(i) It rained o...
Given, 

it rained 7 times 

there were 5 clear afternoons

there were 6 clear mornings

Therefore a total of 9 days of vacation.
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Most Upvoted Answer
A student studying the weather for d days observed that(i) It rained o...
Given information:
- It rained on 7 days, morning or afternoon.
- When it rained in the afternoon, it was clear in the morning.
- There were five clear afternoons.
- There were six clear mornings.

To find: The value of d, the number of days observed.

Solution:
Let's analyze the given information step by step.

1. It rained on 7 days, morning or afternoon.
Let's assume that it rained on x mornings and y afternoons.
Therefore, x + y = 7

2. When it rained in the afternoon, it was clear in the morning.
This means that all the days on which it rained in the afternoon were clear in the morning. So, y days were clear in the morning.
Therefore, y = number of clear mornings.

3. There were five clear afternoons.
This means that on 5 days, it was clear in the afternoon. Therefore, the remaining 2 days were rainy afternoons.
So, x = 2 (since x + y = 7)

4. There were six clear mornings.
This means that on 6 days, it was clear in the morning. Since y days were clear in the morning, x days were rainy in the morning.
Therefore, x = 7 - y = 7 - 6 = 1.

Now, we know that x = 2 and y = 6.
Therefore, d = x + y = 2 + 6 = 8.

However, we need to remember that it rained on both mornings and afternoons on one of the days. This day has been counted twice in our calculation. So, we need to subtract 1 from the total.
Therefore, d = 8 - 1 = 7.

Hence, the correct answer is option D) 9.
Free Test
Community Answer
A student studying the weather for d days observed that(i) It rained o...
It rained on 7 day, morning or afternoon ,
there were 5 clear afternoon,
there were 6 clear morning ,

so,
=(5 clear afternoon+6 clear morning)+7 day m,af..
2 d...
11 clear afternoon or Morning+ 7 day m,af..
2 d ...
18af,morning....*2d..

= 9 d.....
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A student studying the weather for d days observed that(i) It rained on 7 days, morning or afternoon,(ii) When it rained in the afternoon, it was clear in the morning,(iii) There were five clear afternoons, and(iv) There were six clear mornings. Then, d equals.a)3b)7c)11d)9Correct answer is option 'D'. Can you explain this answer?
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