Multi-Part Quiz Challenge

This problem consists of five sub-questions. You are required to output the correct answer for each sub-question in order, each on a new line. The sub-questions are as follows:

Question 1

Calculate the sum of the two binary numbers \(00101100\) and \(00010101\). The possible answers are:

• A. \(00101000\)
• B. \(01000001\)
• C. \(01000100\)
• D. \(00111000\)

The correct answer is the one that represents the sum in binary.

Question 2

Which of the following groups of strings can all be used as valid C++ variable names?

• A. print, _3d, db8, aBc
• B. I\am, one_half, start$it, 3pai
• C. atr_1, Cpp, pow, while
• D. Pxq, My->book, line#, His.age

Question 3

There are \(7\) identical objects (called Qīhǎi) that need to be placed into \(3\) identical packages (empty packages are allowed). Compute the number of distinct ways to do this. (Hint: This is equivalent to finding the number of partitions of \(7\) into at most \(3\) nonnegative parts.)

Question 4

Three friends are preparing three different dishes. The procedure to cook each dish is sequential: washing for 10 minutes, cutting for 10 minutes, and frying for 10 minutes. However, the same step from two different dishes cannot be performed simultaneously. The tasks are assigned as follow:

• Friend 1: Washing
• Friend 2: Cutting
• Friend 3: Frying

Determine the minimum total time (in minutes) required to finish all three dishes.

Question 5

Read the given C++ program (as shown in the image below) and output its result.

Note: The correct answers to the questions are deduced as follows:

• Question 1: The sum of \(00101100\) (44 in decimal) and \(00010101\) (21 in decimal) is 65, which in binary is \(01000001\). Hence, the answer is B.
• Question 2: Only option A contains valid C++ variable names. Thus, the answer is A.
• Question 3: There are 8 distinct ways to place the objects.
• Question 4: The minimum cooking time is 50 minutes.
• Question 5: The correct output of the C++ program is assumed to be Hello World! for this problem.

Your program should print the answers in order, one per line:

B
A
8
50
Hello World!

inputFormat

This problem does not require any input.

outputFormat

Output exactly five lines. Each line contains the answer to a corresponding question in order. The answers are:

B
A
8
50
Hello World!

sample

B
A
8
50
Hello World!

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