### 0.9999999…….. = 1, true or false?

See Answer

### Proof 1 for 0.999… = 1

`x = 0.999...`

10x = 9.999...

10x - x = 9.999... - 0.999...

9x = 9

x = 1

### Proof 2 for 0.999… = 1

`1/3 = 0.333...`

3x(1/3) = 3x(0.333...) = 0.999...

1 = 0.999...

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Its Right, yes 0.999 followed by infinite 9’s is equal to 1.
### Proof 1 for 0.999… = 1

### Proof 2 for 0.999… = 1

`x = 0.999...`

10x = 9.999...

10x - x = 9.999... - 0.999...

9x = 9

x = 1

`1/3 = 0.333...`

3x(1/3) = 3x(0.333...) = 0.999...

1 = 0.999...

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Next number in the series will be

every number in the sequence= (previous number)x(previous number +1)

thus next number in this sequence will be 1806*1807 = 3263442.

**Numbers**: 1, 5, 7 and 8.

**Operators:** +, -, * and /

You can use ( ) brackets as well.

**Rules:-**

- You can use each number only once.
- You can not use 1 and 5 as 15.
- You have to use all of the above number mentioned (1,5,7 and 8)

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There are multiple solutions

**Solution 1:** (8-5+1)*7 = 28

**Solution 2:** 7*5 – 8 + 1 = 28

Its first digit is the number of occurrence of 0’s in the number.

Second digit is the number of occurrence of 1’s in the number.

Third digit is the number of occurrence of 2’s in the number.

4^{th} digit is the number of occurrence of 3’s in the number.

and so on up to 10^{th} digit(which is number of occurrence of 9’s in the number).

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Next number in the series will be 13.

every number in this series is sum of previous two numbers, thus the next number should be 5 + 8 = 13.

This classic and very important series is called Fibonacci series.

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Next number in series will be 5.

How?

its WELCOME, where each letter is replaced by its sequence number in the english alphabets.

How?

its WELCOME, where each letter is replaced by its sequence number in the english alphabets.

IF

Mother’s name is

**Mrs. SIXTY TWO**

Son’s name is

**FIFTY TWO**

Daughter’s name is

**FORTY TWO**

**What is the name of the father?**

Check your answer:-

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As mother’s name is **Mrs.** Sixty two so father’s name should be Sixty two.

Check your answer:-

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Answer is Q

How?

The letter in the box is the nth alphabet where n is the sum of other three numbers.

How?

The letter in the box is the nth alphabet where n is the sum of other three numbers.

1,16,36,__,81,100,144

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Series is the square of non prime numbers, 1^{2}, 4^{2}, 6^{2}, 8^{2}, 9^{2}, 10^{2}, 12^{2}. these are square in sequence excluding the prime numbers 2,3,5,7 and 11. Thus the missing number in series should be 8^{2}=64.

There is a peculiar two digit number which is three times the sum of its digits.

**Can you find the number?**

Lets say the number is ab

ab = 3(a+b) We can also write it as 10a + b = 3*(a+b) 7a = 2b a/b = 2/7

As it is given that it is a two digit number, so it can only be 27.

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