Question

find the 5-dgit least number which leaves 3 remainder in each case divided by 5 10 12 15 18 25 and 30 ​

Answer 1

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Answer 2

Answer:

Step-by-step explanation:

always take LCM of numbers whenever this type of question is asked

5 = 1×5

10 = 2×5

12 = 2×2×3

15 = 3×5

18 = 2×3×3

25 = 5×5

30 = 2×3×5

LCM = 2×2×3×3×5×5 = 900

so 900 is the least 3 digit number which is divisible by 5,10,12,18,25.30

11×900 = 9900 is a four digit number

12×900 = 10800 is a five digit number

adding 3 to it gives 10803 is the least 5 digit number which is divided by 5,10,12,18,25.30 gives 3 as remainder.