Question

How many numbers are there till 500 which are completely divisible by 2 or 7

Answer 1

Answer:

286

Step-by-step explanation:

nos. divisible by 2 till 500

2*250=500 i.e. 250 nos. ....(1)

Nos. divisible by 7 till 500

7*71=497    i.e. 71 nos ...(2)

Now, no. divisible by both 2 & 7 till 500

divisibility of 2 : if unit place no is 2,4,6,8,0 it is divisible by 2

so now 71 nos are divisible by 7 upto 500 [.....from (2)] and out of those 71 nos 35 nos are divisble by 2.

therefore 35 nos. upto 500 are divisible by 2 & 7

total no divisible by 2 or 7 is 250+71-35=286