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An Input Output machine takes a number or a word or any data as input, and based on this input data, it gives a particular output. An Input Output machine is shown below that takes natural numbers as input and outputs natural numbers. Based on this information, answer the questions that follow.A number and its successor are sent as input individually and the product of their outputs comes out to be 243. Which of these can be the pair of numbers?A11 and 12B15 and 16C19 and 20D8 and 9

Question

An Input Output machine takes a number or a word or any data as input, and based on this input data, it gives a particular output. An Input Output machine is shown below that takes natural numbers as input and outputs natural numbers. Based on this information, answer the questions that follow.A number and its successor are sent as input individually and the product of their outputs comes out to be 243. Which of these can be the pair of numbers?A11 and 12B15 and 16C19 and 20D8 and 9

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Solution

Based on the given information, we know that the input-output machine takes natural numbers as input and outputs natural numbers. We are given that the product of the outputs of a number and its successor is 243.

Let's consider the options:

A) 11 and 12: The output of 11 would be a natural number, and the output of 12 would be the successor of that number. If we assume the output of 11 is 3, then the output of 12 would be 4. However, the product of 3 and 4 is 12, not 243. So, option A is not correct.

B) 15 and 16: Similar to option A, if we assume the output of 15 is 3, then the output of 16 would be 4. However, the product of 3 and 4 is 12, not 243. So, option B is not correct.

C) 19 and 20: Again, if we assume the output of 19 is 3, then the output of 20 would be 4. However, the product of 3 and 4 is 12, not 243. So, option C is not correct.

D) 8 and 9: If we assume the output of 8 is 9, then the output of 9 would be 10. The product of 9 and 10 is indeed 90, not 243. So, option D is not correct.

Therefore, none of the given pairs of numbers can be the correct answer.

This problem has been solved

Similar Questions

An Input Output machine takes a number or a word or any data as input, and based on this input data, it gives a particular output. An Input Output machine is shown below that takes natural numbers as input and outputs natural numbers. Based on this information, answer the questions that follow.Which of these numbers will give an output 1 when sent as input?A1728B3137C3375D729

Input 1: A = 18Input 2: A = 8Example OutputOutput 1: 1Output 2: 3Example ExplanationExplanation 1: 18 in binary is represented as: 10010, there is 1 trailing zero.Explanation 2: 8 in binary is represented as: 1000, there are 3 trailing zeroes.

Input 2 3 12 10 8 13 11 10 Expected output 8 10 12 10 11 13 Your Program Output 10 8 10 12 13 11

Two binary digits are applied to the inputs of a two-input AND gate. The output of the logic can generate

Input format :The input consists of three space-separated integers values A, B, and C, representing the first term 'A' of the arithmetic sequence, 'B' to check, and the common difference 'C' of the arithmetic sequence.Output format :The output displays 1 if 'B' is present in the arithmetic sequence, otherwise, it displays 0.

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