## 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 wi

Question

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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1 month 2021-08-12T16:55:36+00:00 1 Answer 0 views 0

1. 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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