Question

amongst all the four digit natural number divisible by 24, how many have the number 24 in them ?​

Answer 1

Answer:

infinity

almost all to infinity numbers have 24 in it

Answer 2

Given : four digit natural number divisible by 24,

To find : how many have the number 24 in them

Solution:

There are three ways 24 in 4 digit number

24xx

x24x

xx24

24xx   Divisible by 24

2400 , 2424 , 2448 , 2472 , 2496    

5 numbers

x24x

1248  , 3240  , 4248 , 6240 , 7248 , 9240

6 numbers

xx24

1224  ,  1824 , 2424 , 3024 , 3624 , 4224 , 4824 , 5424 , 6024 , 6624 , 7224 , 7824 , 8424 , 9024 , 9624

15 numbers

but 2424 is repeated twice

5 + 6 + 15 - 1

= 25 numbers

25 , 4 digits numbers have 24 which are divisible by 24.

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