Question

How many numbers between 100 and 600 are divisible by 2, 3, and 7 together? - published on 06 jul 15

a. 11

b. 12

c. 14

d. cannot be determined?

Answer 1

Hey , sup!

As per the question,

LCM of 2,3,7 is 42 that means numbers between 100 to 600 that is divisible by 42 will also be divisible by 2,3,7 together.

a= 126. ( Lies in the range and a multiple of 42.)
d=42( because we need numbers divisible by 42.
l= 588(lies in the range and last digit divisible by 42 in the range.)

=> T(n)= a+(n-1)d.
=> 588=126+(n-1)42.
=> 588-126=(n-1)42.
=> 462=(n-1)42.
=> 462/42=n-1.
=> 11=n-1.
=> n=11+1=12.

So, there are 12 numbers between 100 and 600 that are divisible by 42.

Hope you understand and it helps.

Answer 2

Answer:

(a) 11

Step-by-step explanation: