Observe the pattern in the following statement:
`31 xx 39 = 13 xx 93`
The two numbers on each side are co-prime and are obtained by reversing the digits of respective numbers.Try to write some more pairs of such numbers.

Which of the following statements are true? If two numbers are co-prime,at least one of them must be prime number.

Check whether the following statement is true or false. Two times a real number is always even.

Write the converses of the following statements. Also, devide in each case whether the converse is true or false. : If x and y are two odd numbers, then their sum is an even number.

The numbers 13 and 31 are prime numbers.Both these numbers have same digits1 and 3 .Find such pairs of prime numbers upto 100.

Form the pair of linear equations in the following problems, and find their solutions (if they exist) by the elimination method : The sum of the digits of a two-digit number is 9. Also, nine times this number is twice the number obtained by reversing the order of the number. Find the number.

Write the following statements in the form of equations: If you subtract 5 from 6 times a number, you get 7.

From the pair of linear equations in the following problems and find their solutions (if they exist) by elimination method : Seven times a given two digit number is equal to four times the number obtained by interchanging the digits and the difference of digits is 3. Find the number

From the pair of linear equations in the following problems and find their solutions (if they exist) by elimination method : The sum of a two digit number and another formed by reversing its digit is 99. Five added to the number yields 4 less than 6 times the sum of its digits. Determine the number.

For the following compound statements, identify the connecting words and then write the component statement : 13 is not a prime number or 15 is not a composite number.