1.

How many numbers from 1 to1000 are divisible by 2, 3, 4 and 5?(a) 16(c) 32(b) 17(d) of the above

Answer»

lcm of 2,3,4,5=60

Now, using 60 as first term and 960 (above 960 and below 1000 there is no other number which is divisible by 60)as nth term and difference (d)=60 ,

We can calculate ‘n' value

tn=a+(n-1)d

960=60+(n-1)60

16=1+(n-1)

n=16.

We can say that there are 16 numbers which are divisible by 2,3,4 and 5.



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