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Next number in the series will be 13.

**How?**

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 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.

A women was carrying a basket of Eggs when a passer-by bumped her and she dropped the basket and all the eggs broke, Passer-by asked her number of eggs to pay her. Women replied, I don’t remember exactly , but I do recall that whether I divided the eggs by 2,3,4,5 or 6 there was always one egg left over. When I took the eggs out in groups of seven, I emptied the basket.

Can you tell, **“How many minimum number of Eggs were there in the basket”?**

As in the previous problem we should find the least common multiple of 2,3,4,5 and 6 first, i.e. 60.

Now the the number of eggs can be 60+1, but its not completely divisible by 7.

So next possibility is 120+1, but its not completely divisible by 7 too.

So next possibility is 180+1, but its not completely divisible by 7 too.

So next possibility is 240+1, but its not completely divisible by 7 too.

So next possibility is 300+1, and its completely divisible by 7, so the minimum number of eggs in the basket should be 301.

Now the the number of eggs can be 60+1, but its not completely divisible by 7.

So next possibility is 120+1, but its not completely divisible by 7 too.

So next possibility is 180+1, but its not completely divisible by 7 too.

So next possibility is 240+1, but its not completely divisible by 7 too.

So next possibility is 300+1, and its completely divisible by 7, so the minimum number of eggs in the basket should be 301.

A boy has few toffees with him, then comes one of his friend and they decide to share them equally and they are able to divide them without any toffee remaining. Then one more friend comes and they divide the toffees in 3 equal parts, then one more friend comes, they are still able to divide the toffees in 4 equal parts, then comes one more friend, they are still able to divide them equally, similarly they are able to divide it equally in 5 and 6 equal parts but not when they are 7 and decide to divide equally they are left with one extra toffee.

**Can you tell the minimum number of toffees boy had initially ?**

Since, They are able to divide the toffees equally between 2,3,4,5 and 6 boys so the number of toffees must be a multiple of all of these.

To get the minimum number we should first get the Least Common Multiple of 2,3,4,5 and 5, i.e. 2^^{2}.3^^{1}.5^^{1} = 60.

Now lets divide it by 7, the remainder is = 4, so it cant be the answer, So we should try the next possible answer i.e. 120, divide it by 7, remainder = 1, so minimum number of toffees boy can have is 120.

To get the minimum number we should first get the Least Common Multiple of 2,3,4,5 and 5, i.e. 2^

Now lets divide it by 7, the remainder is = 4, so it cant be the answer, So we should try the next possible answer i.e. 120, divide it by 7, remainder = 1, so minimum number of toffees boy can have is 120.

Average age of a 10 members committee is same as it was 4 years ago, because an old member is replaced by a younger member. What is difference between the younger member and the old member age.

Or in other words, **how younger he is from his counterpart?**

Lets say sum of the 10 members 4 years ago was S, now it should have been S+40. assume old member’s age was x(now) and younger members age is y(now).

S + 40 -x +y = S=> x -y = 40.

S + 40 -x +y = S=> x -y = 40.

There is a 9 digit number. No digit are repeated and rightmost digit is divisible by 1 and right 2 digits is divisible by 2, right 3 digits is divisible by 3 and so on, finally the whole number is divisible by 9.

**Can you find out the number?**

As the right two digits are divisible by 2, so rightmost digit should be even, at the same time right 5 digits are divisible by 5 so the rightmost digit can be 5 or 0, but as it should be even so it can only be 0.

Now, Right 4 digits are divisible by 4, so the rightmost two digits can be either 20, 40, 80 or 60.

To be divisible by 9 the digits of a number must sum to a multiple of 9. Adding the 10 digits together (0+1+2+…+8+9) gives 45 which is div by 9. However, this is a 9-digit number so we have to drop one from the ten. We can only take out 0 or 9 and still have the remaining digits sum to a multiple of 9. We’ve already shown that 0 is present so the 9 is dropped.

Right 3 digits are divisible by 3 so these 3 digits can be 120, 420, 720, 240, 540, 840, 180, 480, 780, 360.

Now to be divisible by 6 sum of the six digits should be divisible by 3 and it should also be even, which it is.

There is no rule for divisible by 7 so we just have to take digits such that they are divisible by 7, there can be many such numbers and one such number is 123567480.

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