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Palindrome is a number which has same value even the digit is reversed example 13 31 find the number of 5 digit no whose third digit as the cube of the first and the second digit?
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Palindrome is a number which has same value even the digit is reversed...
Introduction:
A palindrome is a number that remains the same even when its digits are reversed. In this question, we are required to find the number of 5-digit numbers whose third digit is the cube of the first and the second digit.
Approach:
To solve this problem, we can follow a step-by-step approach.
Step 1: Determine the range of the first digit
Since the first digit can be any number from 1 to 9 (as a 5-digit number cannot start with zero), the range of the first digit is from 1 to 9.
Step 2: Determine the range of the second digit
The second digit can be any number from 0 to 9, as there are no restrictions on its values.
Step 3: Determine the range of the third digit
The third digit is the cube of the first digit. Since the first digit can take the values from 1 to 9, the cube of the first digit can take the values from 1^3 to 9^3, i.e., 1 to 729.
Step 4: Determine the range of the fourth digit
The fourth digit can be any number from 0 to 9, as there are no restrictions on its values.
Step 5: Determine the range of the fifth digit
The fifth digit is the same as the first digit, as the number is a palindrome. Therefore, the range of the fifth digit is the same as the range of the first digit, i.e., 1 to 9.
Step 6: Calculate the number of 5-digit numbers
To calculate the number of 5-digit numbers, we need to multiply the number of possibilities for each digit. Therefore, the number of 5-digit numbers is given by:
Number of 5-digit numbers = Number of possibilities for the first digit * Number of possibilities for the second digit * Number of possibilities for the third digit * Number of possibilities for the fourth digit * Number of possibilities for the fifth digit
Step 7: Calculate the total number of 5-digit numbers
By multiplying the number of possibilities for each digit, we can calculate the total number of 5-digit numbers satisfying the given conditions.
Conclusion:
In this way, we can determine the number of 5-digit numbers whose third digit is the cube of the first and the second digit.
A palindrome is a number that remains the same even when its digits are reversed. In this question, we are required to find the number of 5-digit numbers whose third digit is the cube of the first and the second digit.
Approach:
To solve this problem, we can follow a step-by-step approach.
Step 1: Determine the range of the first digit
Since the first digit can be any number from 1 to 9 (as a 5-digit number cannot start with zero), the range of the first digit is from 1 to 9.
Step 2: Determine the range of the second digit
The second digit can be any number from 0 to 9, as there are no restrictions on its values.
Step 3: Determine the range of the third digit
The third digit is the cube of the first digit. Since the first digit can take the values from 1 to 9, the cube of the first digit can take the values from 1^3 to 9^3, i.e., 1 to 729.
Step 4: Determine the range of the fourth digit
The fourth digit can be any number from 0 to 9, as there are no restrictions on its values.
Step 5: Determine the range of the fifth digit
The fifth digit is the same as the first digit, as the number is a palindrome. Therefore, the range of the fifth digit is the same as the range of the first digit, i.e., 1 to 9.
Step 6: Calculate the number of 5-digit numbers
To calculate the number of 5-digit numbers, we need to multiply the number of possibilities for each digit. Therefore, the number of 5-digit numbers is given by:
Number of 5-digit numbers = Number of possibilities for the first digit * Number of possibilities for the second digit * Number of possibilities for the third digit * Number of possibilities for the fourth digit * Number of possibilities for the fifth digit
Step 7: Calculate the total number of 5-digit numbers
By multiplying the number of possibilities for each digit, we can calculate the total number of 5-digit numbers satisfying the given conditions.
Conclusion:
In this way, we can determine the number of 5-digit numbers whose third digit is the cube of the first and the second digit.
Community Answer
Palindrome is a number which has same value even the digit is reversed...
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Palindrome is a number which has same value even the digit is reversed example 13 31 find the number of 5 digit no whose third digit as the cube of the first and the second digit?
Question Description
Palindrome is a number which has same value even the digit is reversed example 13 31 find the number of 5 digit no whose third digit as the cube of the first and the second digit? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about Palindrome is a number which has same value even the digit is reversed example 13 31 find the number of 5 digit no whose third digit as the cube of the first and the second digit? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Palindrome is a number which has same value even the digit is reversed example 13 31 find the number of 5 digit no whose third digit as the cube of the first and the second digit?.
Palindrome is a number which has same value even the digit is reversed example 13 31 find the number of 5 digit no whose third digit as the cube of the first and the second digit? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about Palindrome is a number which has same value even the digit is reversed example 13 31 find the number of 5 digit no whose third digit as the cube of the first and the second digit? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Palindrome is a number which has same value even the digit is reversed example 13 31 find the number of 5 digit no whose third digit as the cube of the first and the second digit?.
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