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Rahul Dev

· started a discussion

· 1 Months ago

Detailed solution (Question:109028.0)

Total number of sweets n.
n-8 is divisible by 25. So n=25k+8
n-22 is divisible by 28.
So n-8-14 is divisible by 28.
25k-14 is divisible by 28.
Now 28k-3k -14 is divisible by 28.
So 3k +14 is divisible by 28.
Put k=14 3×14+14 is divisible by 28.
So total no sweets are 25×14 +8 = 358 .
Enjoy preparation friends

Question:
A person had some sweets. If he distributes it among 25 children equally, then 8 sweets remains. If there were 28 children and on distributing it equally, 22 sweets would remain. Find the total number of sweets.
Options:
A) 359
B) 358
C) 300
D) 480
Solution:
Ans: (b) On checking it from options, we get that option (b) is the correct option.

As, 358 on dividing by 25, will give 8 as remainder.


Dividend = divisor x quotient + remainder

    358    =    25    x     y       +    8

    358 - 8 = 25 x y 

      350  = 25 x y

       14 = y

 thus, we can follow same way.


SATYENDRA KUMAR

· commented

· 1 Months ago

Yet to be approved!

Knowledge Expert

· commented

· 1 Months ago

Dear Student,
Yes, your solution is absolutely right.
We provided shortcut approach i.e by going with options.

Thanks and Regards
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