Directions: The following questions are based on five three digit numbers given below:
If in each number, both first and third digits are added and after that second digit is subtracted from that addition then how many numbers are less than 2 after mentioned operation?
Two
Three Digit Numbers Analysis
We are given a set of five three-digit numbers. The task is to apply a specific arithmetic operation to each number and then determine how many of the results are less than the value 2.
The given numbers are:
- 453
- 619
- 574
- 471
- 372
Digit Operation Calculation
The operation required is as follows: For each number, first add the first digit and the third digit. Then, subtract the second digit from this sum. For a three-digit number represented as $abc$, the calculation is $ (a + c) - b $. We need to count how many of these results are strictly less than 2.
Let's perform this calculation for each number:
| Number | First Digit | Second Digit | Third Digit | Sum of First and Third Digits | Operation: (Sum) - Second Digit | Result | Is Result < 2? |
|---|---|---|---|---|---|---|---|
| 453 | 4 | 5 | 3 | $ 4 + 3 = 7 $ | $ 7 - 5 $ | $ 2 $ | No |
| 619 | 6 | 1 | 9 | $ 6 + 9 = 15 $ | $ 15 - 1 $ | $ 14 $ | No |
| 574 | 5 | 7 | 4 | $ 5 + 4 = 9 $ | $ 9 - 7 $ | $ 2 $ | No |
| 471 | 4 | 7 | 1 | $ 4 + 1 = 5 $ | $ 5 - 7 $ | $ -2 $ | Yes |
| 372 | 3 | 7 | 2 | $ 3 + 2 = 5 $ | $ 5 - 7 $ | $ -2 $ | Yes |
Counting Numbers Less Than Two
After calculating the result of the specified operation for each of the five numbers, we examine these results to see how many are less than 2.
- The result for 453 is 2. Since 2 is not less than 2, this number does not meet the condition.
- The result for 619 is 14. Since 14 is not less than 2, this number does not meet the condition.
- The result for 574 is 2. Since 2 is not less than 2, this number does not meet the condition.
- The result for 471 is -2. Since -2 is less than 2, this number meets the condition.
- The result for 372 is -2. Since -2 is less than 2, this number meets the condition.
We found that two numbers (471 and 372) yield a result less than 2 after performing the operation. Therefore, the total count of such numbers is two.
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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?
