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Aakash Tyagi

· started a discussion

· 1 Months ago

solution (Question: 198504.0 )

sir, how to solve it?

Question:
A toy factory manufactured a batch of electronic toys. If the toys were packed in boxes of 115 each, 13 boxes would not be filled completely. If the toys were packed in boxes of 65 each, 22 such boxes would not be enough to pack all of them. Coincidentally, in the end, the toys were packed in n boxes containing n toys each, without any remainder. The total number of toys was –
Options:
A) 1424
B) 1434
C) 1444
D) 1454
Solution:
Ans: (c)


 115 * 13 = 1495 

65 * 22 = 1430 


This means the number of toys is between 1430 and 1495. 

Since we can pack n toys perfectly in n boxes, the number must be a square number. 


The only square number between 1430 and 1495 is 1444. 

Hence, there are 1444 toys.

Knowledge Expert

· commented

· 1 Months ago

115 * 13 = 1495
65 * 22 = 1430

This means the number of toys is between 1430 and 1495.
Since we can pack n toys perfectly in n boxes, the number must be a square number.

The only square number between 1430 and 1495 is 1444.
Hence, there are 1444 toys.
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