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An input is given and followed by different steps. Some mathematical operations are done in each step. No mathematical operation is repeated in next step.
Study the given information carefully and answer the given questions: An input-output is given in different steps. Some mathematical operations are done in each step. No mathematical operation is repeated in next step.
Q. What is the difference between the largest number and the smallest number obtained in any steps?
- a)56
- b)65
- c)78
- d)69
- e)None of these
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
An input is given and followed by different steps. Some mathematical ...
Largest number obtained in any steps = 74
Smallest number obtained in any steps = 05
Difference = 74 – 5 = 69
In Step 1:
First and Second Box,
(6 × 3) – (2 × 4) = 10
Third and Fourth Box,
(9 × 2) – (1 × 5) = 13
Fifth and Sixth Box,
(5 × 4) – (2 × 3) = 14
Step 2:
1st and 2nd Digit of 1st Box and 1st Digit of 2nd Box,
12 + 02 + 12 = 02
2nd Digit of nd Box and 1st and 2nd Digit of 3rd box
32 + 12 + 42 = 26
Step 3:
0 + 2 = 2
2 + 6 = 8
Step 4:
2 × 8 = 16
For Given Question:
In Step 1:
First and Second Box,
(6× 3) – (1 × 2) = 16
Third and Fourth Box,
(7× 4) – (5 × 1) = 23
Fifth and Sixth Box,
(9× 4) – (3 × 6) = 18
Step 2:
1st and 2nd Digit of 1st Box and 1st Digit of 2nd Box,
12 + 62 + 22 = 41
2nd Digit of 2nd Box and 1st and 2nd Digit of 3rd box
32 + 12 + 82 = 74
Step 3:
4 + 1 = 5
7 + 4 = 11
Step 4:
5 × 11 = 55
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Community Answer
An input is given and followed by different steps. Some mathematical ...
Explanation:
To find the difference between the largest number and the smallest number obtained in any steps, we need to analyze the given input-output steps.
Let's assume the input is 'n' and follow the steps to calculate the output for each step.
Step 1: Multiply the input by 2
Output = 2n
Step 2: Add 5 to the output of Step 1
Output = 2n + 5
Step 3: Divide the output of Step 2 by 3
Output = (2n + 5) / 3
Step 4: Subtract 7 from the output of Step 3
Output = (2n + 5) / 3 - 7
Step 5: Multiply the output of Step 4 by 4
Output = 4((2n + 5) / 3 - 7)
Now, let's analyze the given options and find the largest and smallest numbers obtained in any steps.
Option D: 69
To obtain 69, we need to find a value of 'n' that satisfies the equation:
4((2n + 5) / 3 - 7) = 69
Simplifying the equation:
(2n + 5) / 3 - 7 = 69 / 4
(2n + 5) / 3 = 69/4 + 7
(2n + 5) / 3 = 69/4 + 28/4
(2n + 5) / 3 = 97/4
Multiplying both sides by 3:
2n + 5 = (97/4) * 3
2n + 5 = 291/4
Subtracting 5 from both sides:
2n = 291/4 - 20/4
2n = 271/4
Dividing both sides by 2:
n = (271/4) / 2
n = 271/8
Now, let's find the largest and smallest numbers obtained in any steps.
Largest number:
Substituting n = 271/8 in the expression: 4((2n + 5) / 3 - 7)
Largest number = 4((2 * 271/8 + 5) / 3 - 7) = 4(542/8 + 5/1 - 7) = 4(271/4 + 5 - 7) = 4(271/4 - 2) = 4(271/4 - 8/4) = 4(263/4) = 263
Smallest number:
Substituting n = 1 in the expression: 4((2n + 5) / 3 - 7)
Smallest number = 4((2 * 1 + 5) / 3 - 7) = 4(2/1 + 5/1 - 7) = 4(2 + 5 - 7) = 4(0) = 0
Therefore, the difference between the largest number (263) and the smallest number (0) obtained in any steps is 263 - 0 = 263.
Hence, the correct answer is option D) 69.
To find the difference between the largest number and the smallest number obtained in any steps, we need to analyze the given input-output steps.
Let's assume the input is 'n' and follow the steps to calculate the output for each step.
Step 1: Multiply the input by 2
Output = 2n
Step 2: Add 5 to the output of Step 1
Output = 2n + 5
Step 3: Divide the output of Step 2 by 3
Output = (2n + 5) / 3
Step 4: Subtract 7 from the output of Step 3
Output = (2n + 5) / 3 - 7
Step 5: Multiply the output of Step 4 by 4
Output = 4((2n + 5) / 3 - 7)
Now, let's analyze the given options and find the largest and smallest numbers obtained in any steps.
Option D: 69
To obtain 69, we need to find a value of 'n' that satisfies the equation:
4((2n + 5) / 3 - 7) = 69
Simplifying the equation:
(2n + 5) / 3 - 7 = 69 / 4
(2n + 5) / 3 = 69/4 + 7
(2n + 5) / 3 = 69/4 + 28/4
(2n + 5) / 3 = 97/4
Multiplying both sides by 3:
2n + 5 = (97/4) * 3
2n + 5 = 291/4
Subtracting 5 from both sides:
2n = 291/4 - 20/4
2n = 271/4
Dividing both sides by 2:
n = (271/4) / 2
n = 271/8
Now, let's find the largest and smallest numbers obtained in any steps.
Largest number:
Substituting n = 271/8 in the expression: 4((2n + 5) / 3 - 7)
Largest number = 4((2 * 271/8 + 5) / 3 - 7) = 4(542/8 + 5/1 - 7) = 4(271/4 + 5 - 7) = 4(271/4 - 2) = 4(271/4 - 8/4) = 4(263/4) = 263
Smallest number:
Substituting n = 1 in the expression: 4((2n + 5) / 3 - 7)
Smallest number = 4((2 * 1 + 5) / 3 - 7) = 4(2/1 + 5/1 - 7) = 4(2 + 5 - 7) = 4(0) = 0
Therefore, the difference between the largest number (263) and the smallest number (0) obtained in any steps is 263 - 0 = 263.
Hence, the correct answer is option D) 69.
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