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You must have had a friend who must have told you to think of a number and do various things to it, and then without knowing your original number, telling you what number you ended up with. Here is one example. Examine why they work. Choose a number. Double it. Add nine. Add your original number. Divide by three. Add four. Subtract your original number. Your result is seven.

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You must have had a friend who must have told you to think of a number and do various things to it, and then without knowing your original number, telling you what number you ended up with. Here is one example. Examine why they work. Write down any three-digit number (for example, 425). Make a six-digit number by repeating these digits in the same order (425425). Your new number is divisible by 7, 11 and 13.

One of the two digits of a two digit number is three times the other digit. If you interchange the digits of this two-digit number and add the resulting number to the original number, you get 88. What is the original number?

One of the two digits of a two - digit number is three times the other digit.If you interchange the digits of this two-digit number and add the resulting number to the original numer , you get 88.What is the original number ?

Try to make two number puzzles, one with the solution 11 and another with 100. First puzzle with solution 11 : Think of a number, multiply it by 3 and add 2 to the product. The sum is 35. Tell me the number. Second puzzle with solution 100: Think of a number, divide it by 10 and subtract 5 from the quotient. The result obtained is 5. Tell me the number.

If a number contains 3 zeroes at the end, how many zeros will its square have ? What do you notice about the number of zeros at the end of the number and the number of zeros at the end of its square ? Can we say that square numbers can only have even number of zeros at the end ?

Do you think the reverse is also true,i.e,is the sum of any two consecutive positive integers a perfect square of a number ?Give examle to support your answer.

PSEB-PROOFS IN MATHEMATICS-EXAMPLE
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  9. State whether the following statement is true or false: Every odd numb...

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  11. State whether the following statement is true or false: For every real...

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  13. State whether the following statement is true or false:If a quadrilate...

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  18. Restate the following statement with appropriate conditions, so that t...

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  19. Take any three consecutive even numbers and add them, say, 2 + 4 + 6 =...

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  20. Observe the following pattern of numbers which is also called Pascaltr...

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  21. Consider the so-called triangular numbers Tn : The dots here are arr...

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