Question

how many natural numbers upto 2001 are divisible by 3 or 4 but not by 5​

Answer 1

Answer:

3,6,9,12...........2001

a=3,d=3,l=2001

l=a+(n-1)d

2001=3+(n-1)3

1998=3n-3

2001=3n

n=667

...667 natural numbers divisible by 3

4n=2000

n=500

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Answer 2

natural numbers upto 2001 are divisible by 3 = 667

natural numbers upto 2001 are divisible by 4 but not by 5​ =50

Step-by-step explanation:

Natural numbers up to 2001 are divisible by 3 are

2001=3+(n-1)3

2001   = 3 + 3 n -3

2001= 3 n

n=667

Natural numbers up to 2001 are divisible by 4 are

2001=4+(n-1)4

2001   = 4 + 4 n -4

2001= 4 n

n= 500                                   (i)

but the number which are divisible by 5  and 4 are

2001 = 20 n

so n = 10

Natural numbers upto 2001 are divisible by 4  but not by 5 are

   = 500/10

    =50