See Solution

How?

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

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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.

**The poor have it,
rich wants it,
but if you eat,
you will die.
What is it?
**

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.

Suppose you’re on a game show, and you’re given the choice of three doors: Behind one door is a car; behind the others, goats. You pick a door, say No. 1.

Now the host, who knows what’s behind the doors, opens another door, say No. 3, which has a goat. He then says to you, “Do you want to switch and pick door No. 2?”

**What should you do? Would you will with your current choice (door no. 1) or should you pick the door no. 2 ?**

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You first though will be to stay, as it has worked out pretty well so far and since there are only two doors, there are fifty-fifty chances of winning the car.

**But**

Its not right,**The best strategy to wins the car is to switch every time** as from the below image, if you stay you win one in three times if you switch you win two in three times.

Its not right,

You might still be thinking that there are fifty-fifty chances of winning the game, that is right only when host did not know what was behind the 3rd door, as he knew it already your probability of winning the car will be more when you switch.

Reference: http://www.businessinsider.com/the-most-controversial-math-problems-2013-3#-2

There are 9 team participating in Indian Premier League, every team will play two matches with every other team. Top 4 teams will be qualified for playoffs.

**How many minimum wins required for a team to ensure a place in playoffs?**

Total number of matches to be played = 9C2 *2 = 9!/(2!7!)*2 = 8*9= 72 and each team will play 16 matches.

**Case 1:** Lets say if Team A and B and C wins 14 matches each(they will loose 1 game each from other two teams), then team D can win only 16 – 3*2 = 10 matches.

**Case 2:** Lets take a case where Top 4 team wins 13 games each

Team A: wins 13 matches, looses 3 games from B,C and D

Team B: wins 13 matches, looses 3 games from A,C and D

Team C: wins 13 matches, looses 3 games from A,B and D

Team D wins 13 matches, looses 3 games from A, B and C

Now Team E, can only win maximum of 8 matches as it A,B,C and D will win all matches played by E.

**Case 3:** Lets say top 5 teams wins 12 matches each

Team A: wins 12 matches, looses 3 games from B, C, D and E

Team B: wins 12 matches, looses 3 games from A, C, D and E

Team C: wins 12 matches, looses 3 games from A, B, D and E

Team D wins 12 matches, looses 3 games from A, B , C and E

Team E wins 12 matches, looses 4 games from A, B, C and D

In this case, team E though wins 12 matches but still don’t qualify for playoffs(assuming lowest run rate).

Thus from case 2 we can say that a team has to win at least 13 matches to ensure a place in playoffs.

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.

Most of us are familiar with google codejam, those who don’t visit https://code.google.com/codejam for more information. This is the first problem from Online Round 1A 2013, top 1000 from this round will be eligible for next online round.

You’ve got a very busy calendar today, full of important stuff to do. You worked hard to prepare and make sure all the activities don’t overlap. Now it’s morning, and you’re worried that despite all of your enthusiasm, you won’t have the energy to do all of this with full engagement.

You will have to manage your energy carefully. You start the day full of energy – **E** joulesof energy, to be precise. You know you can’t go below zero joules, or you will drop from exhaustion. You can spend any non-negative, integer number of joules on each activity (you can spend zero, if you feel lazy), and after each activity you will regain **R** joules of energy. No matter how lazy you are, however, you **cannot** have more than **E** joules of energy at any time; any extra energy you would regain past that point is wasted.

Now, some things (like solving Code Jam problems) are more important than others. For the **i**th activity, you have a value **v _{i}** that expresses how important this activity is to you. The

Note that you *cannot* reorder the activities in your calendar. You just have to manage your energy as well as you can with the calendar you have.

[Read more…]

Check your answer:-

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Multiplication of bigger numbers – (square of remaining number).