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Explanation
The patch covers the entire lake in 48 days, which means that it covers half of the lake in half the time. Therefore, it would take 24 days for the patch to cover half of the lake. However, this answer is not provided in the options. The closest option is 47 days, which is just one day short of half the time it takes to cover the entire lake.

Explanation
Let's assume the cost of the ball is x dollars. According to the information given, the bat costs $1 more than the ball, so the cost of the bat would be x + $1. The total cost of the bat and the ball is $1.10. Therefore, the equation would be x + (x + $1) = $1.10. Simplifying the equation, we get 2x + $1 = $1.10. By subtracting $1 from both sides, we have 2x = $0.10. Dividing both sides by 2, we find that x = $0.05. Therefore, the ball costs 5 cents.

Explanation
If it takes five machines five minutes to make five widgets, then each machine takes five minutes to make one widget. Therefore, 100 machines would still take five minutes to make 100 widgets. Since there are 60 seconds in a minute, five minutes is equal to 300 seconds.

Explanation
The given information states that 4 apples and 6 bananas cost £1.56, and 9 apples and 7 bananas cost £2.60. By subtracting the cost of 4 apples and 6 bananas from the cost of 9 apples and 7 bananas, we can find the additional cost of 5 apples and 1 banana. This is £2.60 - £1.56 = £1.04. Therefore, the cost of 1 apple is £1.04/5 = £0.208, which can be rounded to £0.21. Similarly, the cost of 1 banana is £1.04/5 = £0.208, rounded to £0.21. Hence, the correct answer is 1 apple costs £0.18 and 1 banana costs £0.14.

Explanation
To find the missing part of the calculation, we need to divide 99 by a number to get the result of 24.75 times 24. By dividing 99 by 24, we get the result of 4.125. Since none of the options match this result, the correct answer must be the closest option, which is 0.25.

Explanation
The number 47632 stands out as the odd one in the sequence. It differs from the others because its digits are arranged in ascending order, unlike the rest. This unique arrangement sets it apart from the rest of the numbers in the series, making it the outlier. The numbers 84129, 32418, 36119, 67626, and 72927 all display various digit combinations without a clear ascending or descending pattern. However, 47632 distinctly breaks this pattern by presenting its digits in ascending order. Hence, in the given sequence, 47632 is the odd one out due to its distinct numerical arrangement.

Explanation
The word "replete" means full or abundantly supplied. The opposite of this would be "barren," which means lacking or unable to produce vegetation or offspring. Therefore, "barren" is the correct answer as it is the word that is opposite in meaning to "replete."

Explanation
The words "masticate" and "gnaw" are closest in meaning because both refer to the action of chewing or grinding food with the teeth. "Masticate" is a more formal term used in the context of humans chewing food, while "gnaw" is often used to describe animals chewing or biting on something. Both words imply a similar action of breaking down food with the teeth.

Explanation
The pattern in the given sequence is that each number is either the negative or positive counterpart of the next number. The sequence starts with 1, then goes to 2, which is the positive counterpart of 1. The next number is 0, which is the negative counterpart of 1. The pattern continues with 3 and -3, 4 and -4. Therefore, the missing numbers should be -1 and -2, which are the negative counterparts of 2 and 1 respectively.

Explanation
In 15 years' time, the combined age of the four brothers will be 107. This means that currently, their combined age is 107 - 15 = 92. In six years' time, each brother will be six years older. Therefore, the combined age of the four brothers in six years' time will be 92 + 6 * 4 = 92 + 24 = 116. However, this is not one of the answer choices provided. Therefore, the correct answer cannot be determined based on the information given.

Explanation
If the day after tomorrow is Monday, then tomorrow is Sunday. The day after Sunday is Monday again. Therefore, today must be Sunday.

Explanation
The relationship between a forest and a tree is that a forest is made up of many trees. Similarly, a tree is made up of many branches. Therefore, the correct answer is "Branch".

Explanation
The correct answer is "Fruit" because when you rearrange the letters "RANDIEMAN", you can form the word "MANDARINE", which is a type of fruit.

Explanation
The difference between the percentages of apples left in the two market stalls can be found by calculating the percentage of apples left in each stall and then finding the difference between those percentages. In the first stall, there are a total of 16 apples left out of an initial amount (unknown) of apples. In the second stall, there are 36 apples left out of an initial amount (unknown) of apples. To find the percentage, we divide the number of apples left by the initial amount and multiply by 100. The percentage of apples left in the first stall is (16/unknown) * 100 and the percentage of apples left in the second stall is (36/unknown) * 100. The difference between these two percentages is 35%.

Explanation
Let's assume that Milly has x pounds and Tilly has y pounds before exchanging any money. According to the given information, if Milly gives Tilly £60, the ratio of their money becomes 2:1. This means that (x-60)/(y+60) = 2/1. Similarly, if Tilly gives Milly £10, the ratio becomes 1:3. So, (x+10)/(y-10) = 1/3. Solving these two equations simultaneously, we can find that x = 210 and y = 70. Therefore, Milly and Tilly have a total of £210 before exchanging any money.