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Solve the following arithmetic problems and identify pairs of prime and coprime numbers.
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2 partsStep-by-step solution
6 stepsHere are the solutions to the problems:
Part (و): Subtraction
Subtract the numbers.
The result is .
Part (ہ): Addition
Add the numbers.
The result is .
Part (ج): Division
Perform the division.
When 8526 is divided by 13:
The quotient is 655.
The remainder is 11.
So, .
The result is .Part (ن): Multiplication
Multiply 327 by 2.
Multiply 327 by 90.
Add the results from Step 1 and Step 2.
The result is .
Question 4:
a) Two prime numbers whose unit digit is 9.
A prime number is a natural number greater than 1 that has no positive divisors other than 1 and itself.
Two prime numbers ending in 9 are:- 19 (divisors are 1, 19)
- 29 (divisors are 1, 29) Other examples include 59, 79, 89. The two numbers are .
b) Any pair of coprime numbers.
Coprime numbers (or relatively prime numbers) are two integers whose greatest common divisor (GCD) is 1. This means they share no common positive factors other than 1.
One pair of coprime numbers is:- (4, 9) The factors of 4 are {1, 2, 4}. The factors of 9 are {1, 3, 9}. The only common factor is 1, so their GCD is 1. Another example is (2, 3). The pair of numbers is .
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