Falling Behind in Studies? Join Our Performance Improvement Batch. Enroll For Free
One of our academic counsellors will contact you within 1 working day.
Click to Chat
1800-1023-196
+91-120-4616500
CART 0
Use Coupon: CART20 and get 20% off on all online Study Material
Welcome User
OR
LOGIN
Complete Your Registration (Step 2 of 2 )
how many numbers between 200 and 600 are divisible by 4,5, and 6?
a smallest positive number which is divisible by 4,5,6 is lcm of these numbers which is 60 , now if any number is multiple of 60 then the condition is satisfied ... nearest to 200 , 240 is the first number .... now , a+(n-1)d = Tn a=240 , d = 60 , Tn = 600 240+(n-1)60 = 600 n= 7 that means there are 7 numbers......
a smallest positive number which is divisible by 4,5,6 is lcm of these numbers which is 60 ,
now if any number is multiple of 60 then the condition is satisfied ...
nearest to 200 , 240 is the first number ....
now , a+(n-1)d = Tn
a=240 , d = 60 , Tn = 600
240+(n-1)60 = 600
n= 7
that means there are 7 numbers......
240,300,360,420,480,540... are the numbers between 200 & 600 which is divisible by LCM (4,5,6), i.e 60.. so, there is 6 numbers between 200 & 600... answer is 6.
Post Question
Dear , Preparing for entrance exams? Register yourself for the free demo class from askiitians.
points won -