Aptitude - Problems on H.C.F and L.C.M - Discussion
Discussion Forum : Problems on H.C.F and L.C.M - General Questions (Q.No. 10)
10.
The least multiple of 7, which leaves a remainder of 4, when divided by 6, 9, 15 and 18 is:
Answer: Option
Explanation:
L.C.M. of 6, 9, 15 and 18 is 90.
Let required number be 90k + 4, which is multiple of 7.
Least value of k for which (90k + 4) is divisible by 7 is k = 4.
Required number = (90 x 4) + 4 = 364.
Discussion:
88 comments Page 9 of 9.
Navnath said:
4 years ago
As sample as that.
If the number is multiple of 7 then Obviously it should divide by 7.
Then check all the options by dividing 7.
Look only one option that is 364 is completely divided by 7.
If the number is multiple of 7 then Obviously it should divide by 7.
Then check all the options by dividing 7.
Look only one option that is 364 is completely divided by 7.
(22)
Bhavesh said:
4 years ago
90K+4 is the required number.
If K=1,
90*1+4=94 , it is not multiple of 7.
90*2+4=184,it is not multiple of 7,
90*3+4=274,it is not multiple of 7,
90*4+4=364,it is multiple of 7,
So, the least value will be 364.
If K=1,
90*1+4=94 , it is not multiple of 7.
90*2+4=184,it is not multiple of 7,
90*3+4=274,it is not multiple of 7,
90*4+4=364,it is multiple of 7,
So, the least value will be 364.
(61)
Sagar Khare said:
4 years ago
@ALL.
Guys here you use divisibility rules.
We have to find 7 multiple so apply the simple divisibility rule of 7 on all the answers.
Guys here you use divisibility rules.
We have to find 7 multiple so apply the simple divisibility rule of 7 on all the answers.
(23)
Codi said:
3 years ago
Thanks for explaining @Rahul.
(2)
Nakum pragnesh said:
3 years ago
Or which option is divisible by 7 is your answer
(23)
MMTbelieve youtube said:
2 years ago
We got till lcm 90 ,
Then N=90k+4 should be divisible by 4 then we will get n.
So, put k=1,2,3,4 on 4 the ans 364 is divisible by 7.
So N = 364.
Then N=90k+4 should be divisible by 4 then we will get n.
So, put k=1,2,3,4 on 4 the ans 364 is divisible by 7.
So N = 364.
(15)
Sherin lazar said:
5 months ago
Thank you all for explaining answer.
(1)
Sherin lazar said:
5 months ago
Thank you everyone for explaining the session clearly.
(1)
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