#261 - Number Series Question
Identify the next two numbers in this series?
101, 112, 131, 415, 161, 718, ???, ???
192 021
If you look at it as two-digit numbers you'll see:10 11 12 13 14 15 16 17 18 19 20 21
#262 - Math Logic Puzzle
In a guess game , five friends had to guess the exact numbers of apples in a covered basket.
Friends guessed as 22 , 24, 29 , 33 , 38, but none of guess was right.The guesses were off by 1, 8, 6, 3, and 8 (in a random order).
From this information, can you determine the number of apples in a basket ?
30 apples
22(by 8) , 24(by 6) , 29(by 1) , 33(by 3) , 38(by 8)
#263 - Logical Thinking Puzzle
How many cubic feet of dirt are in a hole of one foot deep, three feet long, and two feet wide?
NONE, holes are empty
#265 - Mathematical Logic Puzzle
using four eights (8) and a one (1) and one mathematical symbol , create the number 100
188 - 88
#266 - Trick Teaser Problem
Twins(Adarsh and Anupam) were born in May but their birthday is in June.hows this possible ?
May is a town
#267 - Murder Mystery Problem
One evening there was a murder in the home of married couple, their son and daughter. One of these four people murdered one of the others. One of the members of the family witnessed the crime.
The other one helped the murderer.
These are the things we know for sure:
1. The witness and the one who helped the murderer were not of the same sex.
2. The oldest person and the witness were not of the same sex.
3. The youngest person and the victim were not of the same sex.
4. The one who helped the murderer was older than the victim.
5. The father was the oldest member of the family.
6. The murderer was not the youngest member of the family.
Who was the murderer?
mother
We know from (3) that the youngest person was not the victim, from (4) that the youngest person was not the helper and from (6) that the youngest person was not the killer. The youngest person can only have been the witness therefore. If we make up a chart there are now three possible combinations:
Oldest person (father) H H M
Next to oldest (mother) V M H
Next to youngest (son) M V V
Youngest (daughter) W W W
(H = Helper ; V = Victim ; M = Murderer ; W = Witness)
We can work out from (5) that the father was the oldest, from (2) that the youngest person must have been the daughter. Therefore the next to the youngest must have been the son and the next to the oldest, the mother.
Of three possibilities: the first is impossible (from (3) – the youngest person and the victim were of different sexes); the third is also impossible (from (1) – the witness and the helper were of different sexes). Therefore only the second possibility holds – and the mother was the murderess.
#268 - Number Fact Puzzle
The square of the number 111,111,111 is amazing.Whats that ?
12,345,678,987,654,321 Amazing :-)
#270 - Maths Handshake Puzzle
At a party, everyone shook hands with everybody else. There were 66 handshakes. How many people were at the party?
12
In general, with n+1 people, the number of handshakes is the sum of the first n consecutive numbers: 1+2+3+ ... + n.
Since this sum is n(n+1)/2, we need to solve the equation n(n+1)/2 = 66.
This is the quadratic equation n2+ n -132 = 0. Solving for n, we obtain 11 as the answer and deduce that there were 12 people at the party.
Since 66 is a relatively small number, you can also solve this problem with a hand calculator. Add 1 + 2 = + 3 = +... etc. until the total is 66. The last number that you entered (11) is n.