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. 19)
19.
The smallest number which when diminished by 7, is divisible 12, 16, 18, 21 and 28 is:
Answer: Option
Explanation:
Required number = (L.C.M. of 12,16, 18, 21, 28) + 7
= 1008 + 7
= 1015
Discussion:
28 comments Page 2 of 3.
Rupali said:
8 years ago
How get the lcm is 1008? Please tell me.
RUPESH said:
8 years ago
Hey,
Just add the digits of given options as,
1+0+1+5=7 the answer is that which can be divided by 7.
Remaining numbers can't divide by 7.
Just add the digits of given options as,
1+0+1+5=7 the answer is that which can be divided by 7.
Remaining numbers can't divide by 7.
Ansar mk said:
8 years ago
how we can find the LCM of this numbers easly?without using calclator.
Himanshu said:
9 years ago
Question says, that no (say x) which when subtracted by 7 gives you an exactly divisible no by 12, 16, 18, 21, 28.
Here the exactly divisible no is 1008.
And the number from which you get 1008 after subtracting 7 is 1015 which was asked to find out.
Here the exactly divisible no is 1008.
And the number from which you get 1008 after subtracting 7 is 1015 which was asked to find out.
Praveen choubey said:
9 years ago
Simple it has to give any number is diminished by 7.
Let the no be 'x' if it diminishes (subtract) 7.
It is equal to the lcm of the 12, 16, 18, 21and 28.
So, x - 7 = (lcm of 12, 16, 18, 21, 28).
x - 7 = 1008.
x = 1008 + 7.
x = 1015 this is the answer.
Let the no be 'x' if it diminishes (subtract) 7.
It is equal to the lcm of the 12, 16, 18, 21and 28.
So, x - 7 = (lcm of 12, 16, 18, 21, 28).
x - 7 = 1008.
x = 1008 + 7.
x = 1015 this is the answer.
Zainul Abideen said:
10 years ago
Guys the it has been asked to find the number when when subtracted will be divisible by given numbers.
Just take one by one and subtract 7.
1015-7 = 1008 which is exactly divisible by given numbers.
As here 1015 is diminished by 7. Its not adding 1008+1015.
Just take one by one and subtract 7.
1015-7 = 1008 which is exactly divisible by given numbers.
As here 1015 is diminished by 7. Its not adding 1008+1015.
BINAY KUMAR said:
1 decade ago
7 is added because is LCM gives you that number which is seven less then required number mathematically prefer to previous comment.
Mahesh bhoi said:
1 decade ago
In question diminished by 7 means in option which no is diminish we will divided by 12, 16, 18, 21.
Kalyan said:
1 decade ago
Ya, LCM of the numbers is 1008 which is equal to the smallest no diminished by 7,
So 1008 = x-7,
Then smallest no, x=1008+7.
That's why we are added with 7.
So 1008 = x-7,
Then smallest no, x=1008+7.
That's why we are added with 7.
Keerthi said:
1 decade ago
Let the smallest no be X,
Lcm of 12,16,18,21,28 = 1008.
Here in question, they have,
Diminished by 7, so, x-7 = 1008.
x = 1008+7 = 1015.
Lcm of 12,16,18,21,28 = 1008.
Here in question, they have,
Diminished by 7, so, x-7 = 1008.
x = 1008+7 = 1015.
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