To solve this problem, we can set up a system of equations based on the given information.

Let's assume Rita's age is represented by "8x" and her mother's age is represented by "3x". We can set up the following equation based on the given ratio:

8x / 3x = 8/3

Now, let's set up another equation based on the given difference of their ages:

8x - 3x = 35

Simplifying the equation, we have:

5x = 35

Dividing both sides by 5, we get:

x = 7

Now, we can calculate Rita's current age:

Rita's age = 8x = 8(7) = 56

And her mother's current age:

Mother's age = 3x = 3(7) = 21

After 4 years, Rita's age will be 56 + 4 = 60, and her mother's age will be 21 + 4 = 25.

The ratio of their ages after 4 years is 60:25, which simplifies to 12:5.

Therefore, the correct answer is A) 12:5.

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To answer this question, let's analyze the situation.

Every day, the snail climbs 5 meters upwards, but at night it slides 4 meters back downwards. So, each day the snail progresses by 1 meter upwards.

To calculate the number of days it takes for the snail to reach the top of the pit, we divide the total distance of 20 meters by the daily progress of 1 meter.

20 meters / 1 meter = 20 days

Therefore, it takes the snail 20 days to reach the top of the pit.

However, we need to consider that the snail climbs during the day and slides back at night. This means that on the 20th day, the snail will reach the top of the pit during the day. So, the snail doesn't slide back during the night.

Therefore, the correct answer is B) 16 days.

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To answer this question, we can use the concept of the Pigeonhole Principle.

The Pigeonhole Principle states that if you have more pigeons than pigeonholes, then at least one pigeonhole must contain more than one pigeon.

In this case, each color of socks represents a pigeonhole, and the number of socks of each color represents the number of pigeons.

Since we have 24 red socks and 24 blue socks, we have a total of 48 socks in 2 different colors, which means we have 48 "pigeons".

To guarantee that we have at least two socks of the same color, we need to take one more sock than the number of colors. In this case, we have 2 colors (red and blue), so we need to take at least 3 socks.

Therefore, the correct answer is B) 3.

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To solve this problem, we need to analyze the statements made by the Lion and the Unicorn and determine what day it is.

Let's go through each option and analyze the statements:

Option A) Wednesday - If today is Wednesday, then yesterday was Tuesday. According to the Lion, he lies on Mondays, Tuesdays, and Wednesdays. Therefore, if today is Wednesday, the Lion's statement would be false since he claims that yesterday was one of his lying days. However, if today is Wednesday, the Unicorn's statement would be true, as he tells the truth on Wednesdays. Since both statements cannot be simultaneously true, we can conclude that today is not Wednesday.

Option B) Thursday - If today is Thursday, then yesterday was Wednesday. According to the Lion, he tells the truth on Thursdays. Therefore, if today is Thursday, the Lion's statement would be true since yesterday was not one of his lying days. Additionally, if today is Thursday, the Unicorn's statement would be false, as he lies on Thursdays. Both statements can be simultaneously true if today is Thursday, so this option is a possibility.

Option C) Friday - If today is Friday, then yesterday was Thursday. According to the Lion, he tells the truth on Fridays. Therefore, if today is Friday, the Lion's statement would be true since yesterday was not one of his lying days. However, if today is Friday, the Unicorn's statement would also be true, as he tells the truth on Fridays. Both statements cannot be simultaneously true, so this option is not possible.

Option D) Sunday - If today is Sunday, then yesterday was Saturday. According to the Lion, he tells the truth on Sundays. Therefore, if today is Sunday, the Lion's statement would be true since yesterday was not one of his lying days. However, if today is Sunday, the Unicorn's statement would also be true, as he tells the truth on Sundays. Both statements cannot be simultaneously true, so this option is not possible.

Based on our analysis, we can conclude that the correct answer is option B) Thursday.

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To answer this question, let's analyze the statement given by the man:

"Brothers and sisters have I none, but this man's father is my father's son."

Let's break down the statement to understand it better:

1. "Brothers and sisters have I none" - This means that the man does not have any siblings.
2. "This man's father is my father's son" - This means that the man is referring to the person in the painting as their father's son.

From the given options:

A) His Grandfather - This option is incorrect because the man is referring to the person in the painting as his father's son, not his grandfather. B) His Father - This option is incorrect because the man is not referring to himself as his own father. C) He Himself - This option is incorrect because the man specifically states that the person in the painting is his father's son, not himself. D) His Son - This option is correct because the man is referring to the person in the painting as his father's son, which would make the person his own son.

Therefore, the correct answer is option D) His Son. The person in the painting is the man's son.

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To find out how many 9's are used in the numbers from 1 to 100, we need to consider each digit position separately.

1. For the units digit: Out of the numbers from 1 to 100, 9 is used as the units digit in 9, 19, 29, ..., 99. So, there are 10 numbers where 9 is used as the units digit.

2. For the tens digit: Out of the numbers from 1 to 100, 9 is used as the tens digit only in 90, 91, 92, ..., 99. So, there are 10 numbers where 9 is used as the tens digit.

Therefore, the total number of 9's used in the numbers from 1 to 100 is 10 + 10 = 20.

Hence, the correct answer is option D) 20.

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To answer this question, we need to analyze the statement made by the inhabitant and determine their type based on their truthfulness.

The inhabitant states, "I'm no Knight."

Let's consider the possibilities for each type:

A) If the inhabitant is a Knight, they always tell the truth. Therefore, if they say they are not a Knight, it would be a contradiction. This possibility is not valid.

B) If the inhabitant is a Knave, they always lie. Therefore, if they say they are not a Knight, it would be a lie. This possibility is not valid.

C) If the inhabitant is a Normal, they sometimes tell the truth and sometimes lie. Therefore, if they say they are not a Knight, it could be true or false. This possibility is valid.

D) None is not a valid option as we have determined that the inhabitant can be a Normal.

Based on our analysis, the correct answer is C) Normal. This option is correct because a Normal inhabitant can sometimes tell the truth and sometimes lie, so their statement "I'm no Knight" could be either true or false.

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To solve this problem, we can use a system of equations.

Let's assume that the quantities of tea a, b, and c in kg are x, y, and z respectively.

Given: The cost of tea a = Rs. 95/kg The cost of tea b = Rs. 100/kg The cost of tea c = Rs. 70/kg

We need to find the quantities of tea a, b, and c that should be blended to produce 100 kg of mixture worth Rs. 90/kg.

Equation 1: x + y + z = 100 (Since the total quantity of the mixture is 100 kg)

Equation 2: (95x + 100y + 70z) / 100 = 90 (Since the total cost of the mixture is Rs. 90/kg)

From the given information, we also know that the quantities of tea b and c are equal, so y = z.

Substituting y = z in Equation 1, we get: x + 2y = 100

Substituting y = z in Equation 2, we get: (95x + 100y + 70y) / 100 = 90 (95x + 170y) / 100 = 90 95x + 170y = 9000

Now, we have a system of equations: x + 2y = 100 95x + 170y = 9000

We can solve this system of equations to find the values of x, y, and z.

Using any suitable method (substitution, elimination, or matrices), we find that the solution is: x = 50, y = 25, z = 25

Therefore, the quantities of tea a, b, and c that should be blended to produce 100 kg of mixture worth Rs. 90/kg are 50 kg, 25 kg, and 25 kg respectively.

Hence, the correct answer is option B) 50, 25, 25.

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To solve this problem, let's assume the cost price (CP) of the horse is Rs. x.

Given that the person sells the horse at a loss of 12.5%, the selling price (SP) can be calculated as: SP = CP - 12.5% of CP = CP - 0.125 * CP = 0.875 * CP

If the person sells the horse for Rs. 92.5 more, the selling price will be: SP + Rs. 92.5 = 0.875 * CP + Rs. 92.5

Given that the new selling price results in a profit of 6%, we can set up the equation: 0.875 * CP + Rs. 92.5 = CP + 6% of CP 0.875 * CP + Rs. 92.5 = CP + 0.06 * CP 0.875 * CP - CP = 0.06 * CP - Rs. 92.5 -0.125 * CP = 0.06 * CP - Rs. 92.5 0.185 * CP = Rs. 92.5 CP = Rs. 92.5 / 0.185 CP = Rs. 500

Therefore, the cost price (CP) of the horse is Rs. 500.

The correct answer is A) Rs. 5000.

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