Directions: The following questions are based on five three digit numbers given below:
If in each number, all the odd digit is added by 1 and all the even digit is added by 2 then, which of the following will be the lowest number after mentioned operation?
372
Understanding the Digit Transformation Process
The question asks us to perform a specific operation on each digit of the given five three-digit numbers. The rules for transformation are:
- Every odd digit in a number should be added by 1.
- Every even digit in a number should be added by 2.
Our goal is to apply these rules to all the numbers (453, 619, 574, 471, 372) and then identify which original number yields the lowest resulting value after the transformation.
Applying the Operation to Each Number
Let's transform each number step-by-step:
Number: 453
- The first digit is 4. Since 4 is an even digit, we add 2: $4 + 2 = 6$.
- The second digit is 5. Since 5 is an odd digit, we add 1: $5 + 1 = 6$.
- The third digit is 3. Since 3 is an odd digit, we add 1: $3 + 1 = 4$.
- After applying the operations, the number 453 transforms into 664.
Number: 619
- The digit 6 is even: $6 + 2 = 8$.
- The digit 1 is odd: $1 + 1 = 2$.
- The digit 9 is odd: $9 + 1 = 10$. In digit-based problems like this, when a digit sum exceeds 9, it's often treated using modulo 10 arithmetic, meaning the last digit is taken. So, $(9 + 1) \pmod{10} = 0$.
- The number 619 transforms into 820.
Number: 574
- The digit 5 is odd: $5 + 1 = 6$.
- The digit 7 is odd: $7 + 1 = 8$.
- The digit 4 is even: $4 + 2 = 6$.
- The number 574 transforms into 686.
Number: 471
- The digit 4 is even: $4 + 2 = 6$.
- The digit 7 is odd: $7 + 1 = 8$.
- The digit 1 is odd: $1 + 1 = 2$.
- The number 471 transforms into 682.
Number: 372
- The digit 3 is odd: $3 + 1 = 4$.
- The digit 7 is odd: $7 + 1 = 8$.
- The digit 2 is even: $2 + 2 = 4$.
- The number 372 transforms into 484.
Identifying the Lowest Transformed Number
After transforming all the given numbers, we have the following results:
- 453 becomes 664
- 619 becomes 820
- 574 becomes 686
- 471 becomes 682
- 372 becomes 484
Comparing these transformed numbers (664, 820, 686, 682, 484), we find that the lowest value is 484.
This lowest value resulted from the transformation of the original number 372.
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Important Questions from Arrangement and Pattern
Select the option that represents the correct order of the given words as they would appear in an English dictionary.
1. Decline
2. Decouple
3. Decrease
4. Decorate
5. Decorum
6. Decode
Select the option that represents the correct order of the given words as they would appear in an English dictionary.
1. Penguins
2. Pendants
3. Penthouse
4. Pendulum
5. Pentagon
6. Penalize
Select the option that represents the correct order of the given words as they would appear in an English dictionary.
1. Dissolve
2. Display
3. Distance
4. Disturb
5. Displace
6. Dispute
Which of the following options represents the correct order of the given words as they would appear in the English dictionary?
1. Glob
2. Globule
3. Global
4. Globe
5. Gloom
If the letters of the word ADISNHPANRKARFACHTARKYAR were written in reverse order, then which would be the third letter to the right of the ninth letter from the left?
