Math Problems: Simplification, Divisibility, HCF, and LCM

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5 Questions

What is the final answer when simplifying 4,35,06,789 - 76,28,635 + 64,93,211 in international system?

4,23,71,365

Is 5695 divisible by 5?

Yes

What is the HCF of 12, 18, and 30 using the prime factorization method?

6

How many bags in all were produced by the three sugar factories during the year 2023?

52,498,608

What is the total cost of all the flats if each flat costs Rs. 54,90,560 and there are 480 flats?

Rs. 26,34,12,800

Study Notes

Simplification of Numbers

  • Simplify the given expression: 4,35,06,789 - 76,28,635 + 64,93,211
  • Final answer in international system: 3,23,71,365

Divisibility Rules

  • 5695 is divisible by 5
  • 4236 is not divisible by 6
  • 68709 is divisible by 9
  • 108515 is not divisible by 11
  • 26700 is divisible by 4

HCF and LCM Problems

  • HCF of 12, 18, and 30 by prime factorization method: 6
  • HCF of 36, 80, and 120 by long division method: 12
  • HCF of 18, 16, and 48 by listing method: 2

LCM Problems

  • First five multiples of 9: 9, 18, 27, 36, 45
  • First five multiples of 18: 18, 36, 54, 72, 90
  • LCM of 9 and 18: 90
  • LCM of 15, 35, and 45 by long division method: 1575

LCM and HCF Word Problems

  • If HCF of two numbers is 6 and LCM is 432, and one of the numbers is 48, then the other number is 54

Word Problems

  • Total number of bags produced by three sugar factories in 2023: 52,498,608
  • Votes received by the losing candidate: 58,88,887
  • Total cost of all the flats constructed by the builder: Rs. 26,43,76,80,000
  • Other co-prime number with 15 is 25
  • Total amount withdrawn by the man: Rs. 68,405
  • Balance in the man's account: Rs. 1,31,595

Solve various math problems including simplification, divisibility rules, and finding the highest common factor (HCF) and lowest common multiple (LCM) using different methods.

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