The sum of all 3 -digit numbers less than or equal to 500 , that are formed without using the digit "1" and they all are multiple of 11, is

Question

The sum of all 3 -digit numbers less than or equal to 500 , that are formed without using the digit "1" and they all are multiple of 11, is (A)  (B)  (C)  (D)

Tardigrade Admin · Accepted Answer

209,220,231, ldots, 495 Sum =(27/2)(209+495)=9504 <img class="img-fluid question-image" alt="image" src="https://cdn.tardigrade.in/img/question/mathematics/61a8378f37c6c9262487b8a9c204e082-.png" /> Required =9501-(231+341+451+319+418)

Q. The sum of all $3$ -digit numbers less than or equal to $500$ , that are formed without using the digit " $1$ " and they all are multiple of $11$ , is

$209, 220, 231, \dots, 495$
Sum $= \frac{27}{2} (209 + 495) = 9504$

Required $= 9501 - (231 + 341 + 451 + 319 + 418)$

Q. The sum of all 3 -digit numbers less than or equal to 500 , that are formed without using the digit "1" and they all are multiple of 11, is

209,220,231,…,495 Sum =227​(209+495)=9504 Required =9501−(231+341+451+319+418)

Q. The sum of all $3$ -digit numbers less than or equal to $500$ , that are formed without using the digit " $1$ " and they all are multiple of $11$ , is

$209, 220, 231, \dots, 495$
Sum $= \frac{27}{2} (209 + 495) = 9504$

Required $= 9501 - (231 + 341 + 451 + 319 + 418)$