# Unlock The Vault

One day a robber got into a bank to rob its vault. However, he noticed that the vault had an unusual lock. So he hid behind a desk and watched how others got in. He noticed that the manager came up to the vault door and pressed a button. The lock read out a number in response to which the manager said a number of his own. On doing so the door opened. This happened twice. The first time the lock said 12 and the manager responded with 6. The second time the lock said 6 and the manager responded with 3. Believing that now he knew all that he needed to know, the robber approached the door. The door said 10 and in reply the robber entered 5. It set of the alarm and the robber was apprehended.

What number do you think the robber should have said?

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# Number In Circles

Put the numbers from 1-9 in the circles in such a manner that all the sides of the triangle add up to 17.

# Dividing Toffees

Some toffees are equally divided amongst Sam, John and Mary. Each of them now consumes 6 toffees. The combined number of toffees now remaining equals the number of toffees each had just after division. How many toffees were divided amongst them?

# Colorful Squares

Fill in the boxes with orange pink, brown, gray and white color fulfilling the following  conditions.

1. Green: 3 squares
2. Orange: 3 squares
3. Black: 3 squares
4. White: 3 squares
5. Violet: 4 squares
6. One color should not get repeated in any line (horizontal, vertical or diagonal)

There are 5 squares in this image. By moving only 2 matchsticks make seven squares.

(Overlapping or breaking of matchsticks is not allowed)

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# Smallest 4 Digit Number

Find the smallest 4 digit number meeting the following criteria:

1. First digit is 1/3 of the second digit.
2. Third digit is the sum of the first and second digit.
3. The last digit is thrice the second digit.

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# Filling Box

Sam keeps marbles in a box everyday in such a way that the number of marbles in the box doubles with each passing day. For e.g., he puts in 1 marble on the first day, 2 on the second day, 4 on the third day and so on. The box gets full on the 18th day. On which day was the box half full?

# What Come Next?

Complete the sequence:

B E H K N Q __ __

# What Next?

Fill in the next line:

9 7 5 9 4 9
6 3 4 5 3 6
1 8 2 0 1 8

_______