Home
Class 14
MATHS
What is the sum of the squares of the di...

What is the sum of the squares of the digits 1 to 9 ?

A

105

B

385

C

260

D

285

Text Solution

AI Generated Solution

The correct Answer is:
To find the sum of the squares of the digits from 1 to 9, we can follow these steps: ### Step 1: Identify the digits The digits we need to consider are 1, 2, 3, 4, 5, 6, 7, 8, and 9. ### Step 2: Write down the squares of each digit We will calculate the square of each digit: - \(1^2 = 1\) - \(2^2 = 4\) - \(3^2 = 9\) - \(4^2 = 16\) - \(5^2 = 25\) - \(6^2 = 36\) - \(7^2 = 49\) - \(8^2 = 64\) - \(9^2 = 81\) ### Step 3: Sum the squares Now, we will add all these squares together: \[ 1 + 4 + 9 + 16 + 25 + 36 + 49 + 64 + 81 \] ### Step 4: Perform the addition Let's add them step by step: 1. \(1 + 4 = 5\) 2. \(5 + 9 = 14\) 3. \(14 + 16 = 30\) 4. \(30 + 25 = 55\) 5. \(55 + 36 = 91\) 6. \(91 + 49 = 140\) 7. \(140 + 64 = 204\) 8. \(204 + 81 = 285\) ### Final Result The sum of the squares of the digits from 1 to 9 is \(285\).
To find the sum of the squares of the digits from 1 to 9, we can follow these steps: ### Step 1: Identify the digits The digits we need to consider are 1, 2, 3, 4, 5, 6, 7, 8, and 9. ### Step 2: Write down the squares of each digit We will calculate the square of each digit: - \(1^2 = 1\) ...
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • ARITHMETICAL PROBLEMS

    KIRAN PUBLICATION|Exercise TYPE-IV|23 Videos

  • ARITHMETICAL PROBLEMS

    KIRAN PUBLICATION|Exercise TYPE-V|16 Videos

  • ARITHMETICAL PROBLEMS

    KIRAN PUBLICATION|Exercise TYPE-II|6 Videos

  • ALLIGATION OR MIXTURES

    KIRAN PUBLICATION|Exercise TEST YOURSELF|27 Videos

  • AVERAGE

    KIRAN PUBLICATION|Exercise TYPE-X|48 Videos

Similar Questions

Explore conceptually related problems

What is the sum of the squares of the digits from 1 to 9?105quad (b) 260quad (c) 285 (d) 385

A certain number of two digits is three times the sum of its digits. If 45 is added to the number, the digits will be reversed. What is the sum of the squares of the two digits of the number?

Knowledge Check

  • If the sum of the lengths of the diagonals of a rhombus is 10 m and if its area is 9m^(2) , then what is the sum of the square of the diagonals ?

    A
    36 `m^(2)`
    B
    64 `m^(2)`
    C
    80 `m^(2)`
    D
    100 `m^(2)`

  • The sum of the squares of the digits of the greatest prime number of two digits is :

    A
    148
    B
    130
    C
    97
    D
    118

  • The number of all 2-digit numbers n such that n is equal the sum of the square of digit in its tens place and the cube of the digit in units place is

    A
    0
    B
    1
    C
    2
    D
    4

    • Similar Questions

    Explore conceptually related problems

    Find all the three digit numbers for which one obtains when dividing the number by 11, the sum of the squares of the digits of the initials.

    Number of six digit numbers in which sum of the squares of the digits is 9 is

    The sum of the squares of the digits of the largest prime number in two digits is

    The sum of all three digit numbers each of which is equal to 11 times the sum of the squares of its digits is lamda . Find the sum of digits of lamda

    The units digit of a two digit number is 2 more than the tens digit. If the number is subtracted from the sum of the squares of its digits the result is two thirds of the product of the digits. What is the number?

    Home
    Profile