#1061 - Interesting Number puzzle

A number with an interesting property:

When I divide it by 2, the remainder is 1.
When I divide it by 3, the remainder is 2.
When I divide it by 4, the remainder is 3.
When I divide it by 5, the remainder is 4.
When I divide it by 6, the remainder is 5.
When I divide it by 7, the remainder is 6.
When I divide it by 8, the remainder is 7.
When I divide it by 9, the remainder is 8.
When I divide it by 10, the remainder is 9.

It's not a small number, but it's not really big, either.
When I looked for a smaller number with this property I couldn't find one.

Can you find it?

The number has to end in 9.
Looked brute force for small numbers.
59 and 119 were promising, but no cigar.

Then looked for agreement among
39 + multiples of 40,
69 + multiples of 70 and
89 + multiples of 90
Smallest one was 2519.

#1062 - CAT Exam Puzzle

5+3+2 = 151022
9+2+4 = 183652
8+6+3 = 482466
5+4+5 = 202541
THEN ;
7+2+5 =

7*2 , 7*5 , 7*2 + 7*5 -2

#1063 - Short Easy Riddle

A boy was at a carnival and went to a booth where a man said to the boy, 'If I write your exact weight on this piece of paper then you have to give me $50, but if I cannot, I will pay you $50.' The boy looked around and saw no scale so he agrees, thinking no matter what the carny writes he'll just say he weighs more or less. In the end the boy ended up paying the man $50. How did the man win the bet?

The man did exactly as he said he would and wrote 'your exact weight' on the paper.

#1064 - 4 Doors Riddle

You are an expert on paranormal activity and have been hired to locate a spirit haunting an old resort hotel. Strong signs indicate that the spirit lies behind one of four doors. The inscriptions on each door read as follows:

Door A: Its behind B or C
Door B: Its behind A or D
Door C: Its in here
Door D: Its not in here

Your psychic powers have told you three of the inscriptions are false, and one is true. Behind which door will you find the spirit?

The spirit lies behind Door D.

If the spirit is behind Door A, then both B and D are true.

If the spirit is behind Door B, then both A and D are true.

If the spirit is behind Door C, then A, C, and D are all true.

If the spirit is behind Door D, then the statements on all the doors are false, except for that on Door B. This matches the rules, and therefore, the resort hotel spirit lurks behind Door D.

#1065 - Missing Number in this Sequence

Can you discover the missing number in this series?

37, 10, 82
29, 11, 47
96, 15, 87
42, ?, 15

The missing number is 6.
The number in the middle of each triple is the same as the digits of either end's number when added together. 3+7=10=8+2 and so on.

#1066 - Math Teaser

Find three whole, positive numbers that have the same answer when multiplied together as when added together.

1,2, & 3

1 x 2 x 3 = 6 and 1 + 2 + 3 = 6

#1067 - IQ PUZZLE

You have two strings whose only known property is that when you light one end of either string it takes exactly one hour to burn. The rate at which the strings will burn is completely random and each string is different.

How do you measure 45 minutes?

Light both the ends of the first string and one end of the second string. 30 minutes will have passed when the first string is fully burned, which means 30 minutes have burned off the second string. Light the end of the second string and when it is fully burned, 45 minutes will have passed.

#1068 - September Riddle

man gave one son 10 cents and another son was given 15 cents. What time is it?

1:45.

The man gave away a total of 25 cents. He divided it between two people. Therefore, he gave a quarter to two

#1069 - Read Between Lines Puzzle

There's a land where there's mummies and daddies but no babies. Books but no libraries. Mirrors but no reflections. Kittens but no cats. Cattle but no cows. Lollipops but no candy and trees but no forests. It's the land of what?

Double Letters

#1070 - Simple Simple Google Interview Puzzle

The puzzle is if the shopkeeper can only place the weights in one side of the common balance. For example if shopkeeper has weights 1 and 3 then he can measure 1, 3 and 4 only. Now the question is how many minimum weights and names the weights you will need to measure all weights from 1 to 1000. This is a fairly simple problem and very easy to prove also.  Answer for this puzzle is given below.

Simple Simple Google Interview Puzzle

This is simply the numbers 2^0,2^1,2^2 ... that is 1,2,4,8,16... So for making 1000 kg we need up to 1, 2, 4, 8, 16, 32, 64, 128, and 512