Direction: The following questions are based on the five three-digit numbers given below.
If the difference between first and third digit of each number is added to the second digit of the same number, then result of which of the following numbers will be lowest?
420
This question asks us to perform a specific calculation on a set of five three-digit numbers and identify which number yields the lowest result. The calculation involves finding the difference between the first and third digit of each number and then adding this difference to the second digit of that same number.
Step-by-Step Calculation for Each Number
Let's apply the rule to each of the given three-digit numbers: 420, 885, 290, 569, and 182.
Number: 420
- First digit: 4
- Third digit: 0
- Second digit: 2
- Difference between the first and third digit: $|4 - 0| = 4$
- Result: Add the difference to the second digit: $4 + 2 = 6$
Number: 885
- First digit: 8
- Third digit: 5
- Second digit: 8
- Difference between the first and third digit: $|8 - 5| = 3$
- Result: Add the difference to the second digit: $3 + 8 = 11$
Number: 290
- First digit: 2
- Third digit: 0
- Second digit: 9
- Difference between the first and third digit: $|2 - 0| = 2$
- Result: Add the difference to the second digit: $2 + 9 = 11$
Number: 569
- First digit: 5
- Third digit: 9
- Second digit: 6
- Difference between the first and third digit: $|5 - 9| = |-4| = 4$
- Result: Add the difference to the second digit: $4 + 6 = 10$
Number: 182
- First digit: 1
- Third digit: 2
- Second digit: 8
- Difference between the first and third digit: $|1 - 2| = |-1| = 1$
- Result: Add the difference to the second digit: $1 + 8 = 9$
Comparing the Results
To find which number gives the lowest result, we compare the calculated values:
- For 420, the result is 6.
- For 885, the result is 11.
- For 290, the result is 11.
- For 569, the result is 10.
- For 182, the result is 9.
Comparing these results (6, 11, 11, 10, 9), the lowest value is 6.
Identifying the Number with the Lowest Result
The lowest result, 6, was obtained from the number 420.
| Number | Calculation (LaTeX) | Result |
|---|---|---|
| 420 | $|4 - 0| + 2$ | $4 + 2 = 6$ |
| 885 | $|8 - 5| + 8$ | $3 + 8 = 11$ |
| 290 | $|2 - 0| + 9$ | $2 + 9 = 11$ |
| 569 | $|5 - 9| + 6$ | $4 + 6 = 10$ |
| 182 | $|1 - 2| + 8$ | $1 + 8 = 9$ |
Therefore, the number 420 yields the lowest result according to the given operation.
Similar Questions
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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?
