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Solution


Q.

The number of 3 digit numbers, that are divisible by either 3 or 4 but not divisible by 48, is           [2023]
1 400  
2 507  
3 432  
4 472  

Ans.

(3)

We know that we have total 3-digit numbers only 900.

∴   Total 3 digit numbers=900

Out of these 900, the number divisible by 3 =300     (∵9003=300)

In the same way, the numbers divisible by 4 =9004=225

So, divisible by 3 and 4 = 75 (Using 90012=75)

Number divisible by either 3 or 4 =300+225-75=450

Now, we have to remove the numbers divisible by 48, 144, 192 ....... 18 terms.

Hence, required numbers, who are divisible by either 3 or 4 but not by 48 is 450-18=432