#1141 - What Are We
We can be boring,
Or interesting.
We can be long,
Or short.
We can have pictures,
Or just words.
Many love us,
But many also hate us.
What are we?
Books
#1142 - Next Number In The Series Hardest
What is the next number in this series?
6, 14, 36, 98, 276, ?
794
The nth term in the series is given by the sum of x^n for x in the range 1 to 3, i.e. 1^n + 2^n + 3^n.
Thus the first term is 1^1 + 2^1 + 3^1 = 1 + 2 + 3 = 6,
the second term is 1^2 + 2^2 + 3^2 = 1 + 4 + 9 = 14,
and so on.
The sixth term is then 1^6 + 2^6 + 3^6 = 1 + 64 + 729 = 794.
#1143 - A Counting Puzzle
If you wrote all of the numbers from 300 to 400 on a piece of paper, how many times would you have written the number 3?
120
#1145 - Mathematical Puzzle
Suppose I am a grandfather. My grandson is about as old in days as my son is in weeks. He is also as many months old as I am in years. Together, the three of us are 140 years old. How old am I?
As noted, all three are 140 years old. Thus, a+b+c=140, where a is grandfather, b is son, and c is grandson. Additionally, grandson being about as many days old as son is in weeks gives 365c=52b. Finally, the grandson being as many months as I am in years gives 12c=a. Thus, the following are known.
a+b+c=140
365c=52b or b=365c/52
12c=a
By calculation and substitution we have as follows.
12c + 365c/52 +c = 140
624c + 365c + 52c = 7280
1041c = 7280
c = 6.99, or 7 (teaser said 'about')
so, as 12c = a, then a = 84.
I am 84 years old.
As an aside, my son is 49
#1146 - Logical Riddle
A Child was born on Lahore, Pakistan.Still child is not a pakistani citizen.why ?
Because he was born before 1947(before pakistan exists) and hence is an indian citizen
#1147 - Logical Maths Science Riddle
When Manish was three years old he hammered a nail into his favorite tree to mark his height. Six years later at age nine, Manish returned to see how much higher the nail was. If the tree grew by five centimeters each year, how much higher would the nail be?
The nail would be at the same height since trees grow at their tops.
#1150 - Next Number In Series
What letter is next in this sequence?
M, A, M, J, J, A, S, O,__
N for November!