Question Details

Directions (1-4): A number arrangement machine when given an input line of words and numbers rearranges them following a particular rule in each step. The following is an illustration of input and rearrangement.


Input: 28465    79784    63452    34867    93275

Step I: 52684    84797    24536    67843    57239

Step II: 24536    57239    52684    67843    84797

Step III: 4    25    36    49    64

Step IV: 20    115    250    385    540

Step V: 460    2645    5750    8855    12420

And Step V is the last step of the arrangement. As per the rule followed in the above steps, find out in each of the following questions the appropriate step for the given input:

Input: 28465    79784    63452    34867    93275


What is the difference between the lowest and the highest number in step II?

Options

A

45322

B

31052

C

50890

D

50908

E

None of these

Show Answer

Correct Answer :

Option C

50890

Solution :

Correct Answer: 50890

To find the difference between the lowest and the highest number in Step II, we first need to decode the rules of the number arrangement machine by analyzing the illustration.

Rule for Step I:
For each 5-digit number, the digits are transformed as follows:
1. Multiply the 1st and 2nd digits to get the first part.
2. Subtract 1 from the 3rd (middle) digit to get the second part.
3. Multiply the 4th and 5th digits to get the third part.
4. Concatenate the three parts together to form a new number.

Let's apply this Step I rule to each number in the given input:

For 28465:
First part: 2 * 8 = 16
Second part: 4 - 1 = 3
Third part: 6 * 5 = 30
Concatenated value: 16330

For 79784:
First part: 7 * 9 = 63
Second part: 7 - 1 = 6
Third part: 8 * 4 = 32
Concatenated value: 63632

For 63452:
First part: 6 * 3 = 18
Second part: 4 - 1 = 3
Third part: 5 * 2 = 10
Concatenated value: 18310

For 34867:
First part: 3 * 4 = 12
Second part: 8 - 1 = 7
Third part: 6 * 7 = 42
Concatenated value: 12742

For 93275:
First part: 9 * 3 = 27
Second part: 2 - 1 = 1
Third part: 7 * 5 = 35
Concatenated value: 27135

Thus, the numbers in Step I are: 16330, 63632, 18310, 12742, 27135.

Rule for Step II:
Arrange the numbers obtained in Step I in descending order.

Sorting the Step I numbers in descending order: 63632 > 27135 > 18310 > 16330 > 12742.

Thus, the numbers in Step II are: 63632, 27135, 18310, 16330, 12742.

From Step II, we can identify:
Highest number = 63632
Lowest number = 12742

Now, calculate the difference between the highest and lowest numbers:

Difference = 63632 - 12742 = 50890

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  • CLAT
  • intermediate
  • 2 hours
  • current affairs, general knowledge, legal reasoning, logical reasoning, quant

  • CLAT
  • intermediate
  • 2 hours
  • current affairs, english, general knowledge, legal reasoning, logical reasoning, quant

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