Question

How many numbers are there between 500 and 600 in which the first and last dighit are same ?write all of them

Answer 1

Answer:

Hint: Here, write all the numbers between 500 and 600 in which 9 occurs only once. From 500 to 600 we only have three digit numbers and the hundred's place the same all those numbers, that is 5

Step-by-step explanation:

Considering the numbers 500 to 600, which means the numbers start from 501 and end at 599.

Out of these numbers, we need to find the numbers, which contain only one 9.

Considering the numbers from 501 to 510, We only have 509 which contains only one 9.

Considering the numbers from 511 to 520, We only have 519 which contains only one 9.

Considering the numbers from 521 to 530, We only have 529 which contains only one 9.

Similar pattern repeats till 599

All numbers between 500 and 600 in which 9 occurs only once are:

509,519,529,539,549,559,569,579,589.

Here,wewillnotconsider$599$ascontainstwo$9$′s,notsatisfythegivencondition

These are 9 in numbers which are satisfying the given condition.

Therefore, 9 numbers are there between 500 and 600 in which 9 occurs only once. Hence, option (d) is correct.