Direction: The following questions are based on the five three-digit numbers given below.
If the digits in all the numbers are arranged in descending order, what will be the sum of the second highest and second lowest number?
1741
The problem asks us to take five three-digit numbers, arrange the digits within each number in descending order, and then find the sum of the second highest and second lowest numbers from the newly formed set.
Step 1: Identify the Given Numbers
The five three-digit numbers provided are:
- 420
- 885
- 290
- 569
- 182
Step 2: Arrange Digits in Descending Order for Each Number
We need to rearrange the digits of each number from largest to smallest:
- For 420: The digits are 4, 2, 0. Arranging them in descending order gives 420.
- For 885: The digits are 8, 8, 5. Arranging them in descending order gives 885.
- For 290: The digits are 2, 9, 0. Arranging them in descending order gives 920.
- For 569: The digits are 5, 6, 9. Arranging them in descending order gives 965.
- For 182: The digits are 1, 8, 2. Arranging them in descending order gives 821.
Step 3: List the New Set of Numbers
After rearranging the digits, the new set of numbers is:
- 420
- 885
- 920
- 965
- 821
Step 4: Order the New Numbers
Now, let's arrange these new numbers in ascending order to easily identify the second lowest and second highest:
- 420 (Lowest)
- 821 (Second Lowest)
- 885
- 920 (Second Highest)
- 965 (Highest)
Step 5: Calculate the Sum
The question asks for the sum of the second highest and second lowest numbers.
- Second Lowest Number = 821
- Second Highest Number = 920
The sum is calculated as follows:
Sum = Second Lowest Number + Second Highest Number
Sum = 821 + 920
Using LaTeX for the sum:
Sum = \( 821 + 920 = 1741 \)
Therefore, the sum of the second highest and second lowest number after arranging the digits in descending order is 1741.
Similar Questions
How many numbers are there in the given arrangement which are preceded by a symbol?
How many elements are there between the element which is sixth from left end and element which is ninth from right end?
If all the symbols are dropped from the series, then which element will be seventh from right end?
If positions of the second and third digit of a number are interchanged, then which number will be fourth if arranged in ascending order?
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?
If in the word ‘CENTRAL’, all the vowels are first arranged alphabetically and then all the consonants are arranged alphabetically and then all the vowels are replaced by the next letters and the consonants are replaced by the previous letters from English alphabet. Which letter will be fourth from the right end?
If 1 is added to every even digit and 1 is subtracted from every odd digit in the number 45289654, then what will be the sum of the 3rd digit from the left and 3rd digit from the right end?
Which element is twelth to the left of fourth element from the right end?
How many such alphabets are there in the above arrangement which is immediately preceded by the number and immediately followed by the symbol?
If all the numbers from the above arrangement is dropped, which symbol is fifth from the right end?
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?
