Answer: Option B
To check if the sum of two numbers is divisible by 3 and 5, we need to apply the following conditions:
Condition 1: The sum of the two numbers must be divisible by 3.Condition 2: The product of the sum of the two numbers and 5 must be divisible by 3.
Let's apply these conditions to the given pairs of numbers (245 + 342) to see if they satisfy the condition.
Condition 1: To check if the sum of two numbers is divisible by 3, we need to find the sum of the digits of the numbers and see if the sum is divisible by 3.
Sum of digits of 245 = 2 + 4 + 5 = 11Sum of digits of 342 = 3 + 4 + 2 = 9
So, the sum of the digits of both numbers is not divisible by 3. Hence, the sum of the two numbers is not divisible by 3.Therefore, we can conclude that none of the given pairs of numbers (240, 335), (250, 341), and (245, 342) satisfy the condition that the sum of two numbers is divisible by 3.
Condition 2: To check if the product of the sum of two numbers and 5 is divisible by 3, we need to check if the sum of the two numbers is divisible by 3.
As we have already seen that the sum of the two numbers is not divisible by 3, we do not need to check this condition.
However, we still need to check if the product of the sum of two numbers and 5 is divisible by 15.
Product of (245 + 342) = 587 * 5 = 2935
2935 is divisible by 15, as 15 * 195 = 2935
Hence, the given pair of numbers (245, 342) satisfies the condition that the product of the sum of two numbers and 5 is divisible by 15.
Therefore, the correct answer is option B (250, 341).
Formulae:

• Divisibility rule for 3: If the sum of the digits of a number is divisible by 3, then the number is also divisible by 3.
• Divisibility rule for 15: If a number is divisible by both 3 and 5, then it is also divisible by 15.

Key Points:

• To check if the sum of two numbers is divisible by 3, we need to find the sum of the digits of the numbers and see if the sum is divisible by 3.
• To check if the product of the sum of two numbers and 5 is divisible by 15, we need to check if the sum of the two numbers is divisible by both 3 and 5.
• The given pair of numbers (245, 342) satisfies the condition that the product of the sum of two numbers and 5 is divisible by 15.

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