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. 13)
13.
Reduce 128352 to its lowest terms.
238368
3
4
5
13
7
13
9
13
Answer: Option
Explanation:
 128352) 238368 ( 1
         128352
         ---------------
         110016 ) 128352 ( 1
                  110016
                 ------------------  
                   18336 ) 110016 ( 6       
                           110016
                           -------
                                x
                           -------
 So, H.C.F. of 128352 and 238368 = 18336.
 
             128352     128352 ÷ 18336    7
 Therefore,  ------  =  -------------- =  --
             238368     238368 ÷ 18336    13                    
Discussion:
59 comments Page 3 of 6.

Manoj said:   6 years ago
How to get 18336? Please explain.

Swap said:   6 years ago
@All.

Simply it can be solved by;

Goto the Option wise and use divisibility Rule.

1) Option "C" is Correct

Rule of Divisible 7 :- The difference the two alternate group take in 3 digits at a time should either be 0 or 7

Rule of 13 : difference between Alternate group 3digit which is Divisible 13..


As per rule 128352:-
352 224/7 = Reminder is 0
- 128
-----------
224

Therefore 7 is divisible by NUMERATOR.

(238268):-
368 130/13
- 238 (13 is divisible by NUMERATOR)
----------
130
Therefore 13 is Divisible by DENOMINATOR.

So, options C is the Right Answer.

Bhargav said:   7 years ago
Can anyone explain the solution in another method to get it easily?

Abi said:   7 years ago
@Sanket Shinde.

Why you multiply 7 &6? Explain.

Sanket shinde said:   7 years ago
7*6=42.
13*6=78.

Just see unit digit number it's 2 and 8 respectively so my answer is 7/13 only.

Sneha said:   7 years ago
@Yuvaraj .

12/23 is 0.52 it's not 0.48.

Yuvaraj said:   7 years ago
128352/238368 is simplified to 12/23 (i.e first to digits from numerator and denominator)
It will give approximately 0.48.

Now check in options which one is nearer to 0.48.

7/13 is the answer.

Hope it helps.

PRASANNA said:   8 years ago
Go with options.

Check whether numerator and denominator both are divisible by values given in option.

Here only 3/4 and 7/13 satisfy the condition.

Now apply logic to get the answer (here denominator (238368) is approx. Double of numerator(128352) Hence 7/12 is answer as denominator (13) is approx. Double of numerator(7).

Ranjitha said:   8 years ago
Please explain with easy method.

Shweta jayswal said:   8 years ago
Not getting the solution. Please explain me.


Post your comments here:

Your comments will be displayed after verification.