12. Garima makes heaps of 10, 15 or 24 with her marbles. The heaps are made exactly each
time. What is the minimum number of marbles with her?
13 Two nieces of wire
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Answer:See here's an example of a similar question
understand this mate and your doubt might get cleared
Step-by-step explanation:
In this type of problem we find the difference of divisors and their remainders.
Here difference,
32 - 10 = 22
40 - 18 = 22
72 - 50 = 22
Here, in each case difference is same i.e. 22
Then required number of pebbles is given by
[(LCM of 32, 40, 72) -22]
32 = 2 × 2 × 2 × 2 × 2
40 = 2 × 2 × 2 × 5
72 = 2 × 2 × 2 × 3 × 3
Hence,
LCM = 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 = 1440
Thus,
Required number of pebbles,
= 1440 - 22
= 1418
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