Find the missing numbers in this series: 4, 10, 22, 46, _____, _____, 382

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#### Missing numbers in the series are: 94 and 190.

**How ?**

Every number in the series is following this pattern

Next number = (previous number)*2 + 2;

Find the missing numbers in this series: 4, 10, 22, 46, _____, _____, 382

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**How ?**

Every number in the series is following this pattern

Next number = (previous number)*2 + 2;

There are 97 baseball team participating in a tournament. The champion is chosen by the usual elimination scheme. That is, all teams are divided into pairs, and two teams of each pair play against each other. The loser of each pair is eliminated, and the remaining teams are paired up again.

**How many games must be played to determine a champion? **

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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

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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.

There was a burglary in the Silver City jewelry store last Sunday.

**Three suspects**: Robert, Scott, and Tommy were caught and questioned.

Each person said,** “One of the other two stole it. I did not do it.”**

Later on the police found out that Tommy was lying and there was only one thief.

**Can you guess who was the thief?**

[Read more…]

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.

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 1B 2013, top 1000 from this round will be eligible for next online round.

Armin is playing Osmos, a physics-based puzzle game developed by Hemisphere Games. In this game, he plays a “mote”, moving around and absorbing smaller motes.

A “mote” in English is a small particle. In this game, it’s a thing that absorbs (or is absorbed by) other things! The game in this problem has a similar idea to Osmos, but does not assume you have played the game.

When Armin’s mote absorbs a smaller mote, his mote becomes bigger by the smaller mote’s size. Now that it’s bigger, it might be able to absorb even more motes. For example: suppose Armin’s mote has size 10, and there are other motes of sizes 9, 13 and 19. At the start, Armin’s mote can only absorb the mote of size 9. When it absorbs that, it will have size 19. Then it can only absorb the mote of size 13. When it absorbs that, it’ll have size 32. Now Armin’s mote can absorb the last mote.

Note that Armin’s mote can absorb another mote if and only if the other mote is *smaller*. If the other mote is the same size as his, his mote can’t absorb it.

You are responsible for the program that creates motes for Armin to absorb. The program has already created some motes, of various sizes, and has created Armin’s mote. Unfortunately, given his mote’s size and the list of other motes, it’s possible that there’s no way for Armin’s mote to absorb them all.

You want to fix that. There are two kinds of operations you can perform, in any order, any number of times: you can add a mote of any positive integer size to the game, or you can remove any one of the existing motes. What is the minimum number of times you can perform those operations in order to make it possible for Armin’s mote to absorb every other mote?

For example, suppose Armin’s mote is of size 10 and the other motes are of sizes [9, 20, 25, 100]. This game isn’t currently solvable, but by adding a mote of size 3 and removing the mote of size 100, you can make it solvable in only 2 operations. The answer here is 2.

[Read more…]

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.

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.

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