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 5 of 9.
V!cky said:
10 years ago
Divide all given answer by 7 when remainder remains 0 i.e correct answer or assume k.
Take LCM i.e 90 K+4.
Take LCM i.e 90 K+4.
Hira said:
10 years ago
Correct answer is 94. Read question carefully.
Anukriti said:
10 years ago
Is it for all cases we put the value of remainder in k; e.g if 7 is remainder then we should keep the value of k = 7? Is it general or anything else?
Anita said:
10 years ago
6+9+15+18 = 48.
48*7 = 336.
7*4 = 28.
Then 336+28 = 364.
364/48 = 7.5833.
Answer = 7.
Remainder = 4.
Is this right?
48*7 = 336.
7*4 = 28.
Then 336+28 = 364.
364/48 = 7.5833.
Answer = 7.
Remainder = 4.
Is this right?
Abhik Sheek said:
10 years ago
Don't go for calculation first here it is told that multiple of 7. Here is your answer.
SATYA said:
9 years ago
How find the value of k==4?
John saida said:
9 years ago
Sir, is there any shortcut method present for this type of question other then options verification?
Ritu said:
9 years ago
But why to do lcm of 6, 9, 15, 18 here?
Will somebody help me out?
Will somebody help me out?
O jung beom said:
9 years ago
No need to be messed up. Here we are given a clue (multiple of 7) it means the no is to be divided by 7. We got only 364 divisible with 7.
Now just make a test by dividing 364 by 6. As it leaves a remainder of 4 so 364 is the correct answer.
Now just make a test by dividing 364 by 6. As it leaves a remainder of 4 so 364 is the correct answer.
Snehesh said:
9 years ago
In the equation,
AX + B,
-> A is the LCM of all the given values.
-> B is the remainder.
-> The first number of the form: 90A+4 is 364. Hence, the ans.
AX + B,
-> A is the LCM of all the given values.
-> B is the remainder.
-> The first number of the form: 90A+4 is 364. Hence, the ans.
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