Q. 144.2( 178 Votes )

How many multiple

Answer :

12 is the first number after 10 which is divisible by 4


Since, 250 gives a remainder of 2 when divided by 4, thus 250 – 2 = 248 is the greatest number less than 250 which is divisible by 4.


Here, we have first term (a) = 12, last term (n) = 248 and common difference (d) = 4


Thus, number of terms (n) =?


We know that, an = a + (n -1)d


Or, 248 = 12 + (n – 1)4


Or, (n – 1)4 = 248 – 12 = 236


Or, n – 1 = 59


Or, n = 60


Thus, there are 60 numbers between 10 and 250 that are divisible by 4


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