Question

how many. three digit numbers are there which leave remainder 4 on division by 5​

Answer 1

Answer:

Answer and explaination given below.

Step-by-step explanation:

Any number which ends in 4 or 9 will leave a remainder four when divided by 5.

It's because all the multiples of 5 end in either 0 or 5.

Therefore the numbers are:

104,109,114,119,124,129,134,139,144,149,154,159,164,169,174,179,184,189,194,199.

The total number of number from 100 to 200 following the above mentioned statement are 20.

From 200-300 also there are 20

300-400-20

400-500-20

500-600-20

600-700-20

700-800-20

800-900-20

900-1000-20

Total 180 numbers.

But if u know arithmetic progressions it is a more easier,just put a=104 and d=5 and an=999.

THANK YOU ☺️