According to number theory of mathematics , a perfect number is a positive integer that is equal to the sum of its positive divisors excluding the number itself.
For example :
6 => 1+2+3
28 =>1+2+4+7+14
I know one more number that is a perfect number and contains not more than 2 digits (i.e 496 won't be consider as it contains 3 digits).
Find the number ?
12=> 1+2+3+6
cannot be 1 (as number cannot be included)
Can you divide numbers from 1 to 9 (1 2 3 4 5 6 7 8 9) into two groups so that sum of the numbers of each group is equal?
Note: 9 cannot be turned over to make it 6.
1 2 3 4 5 9 and 7 8 9
sum of numbers 1 2 3 4 5 6 7 8 9 is 45 , so numbers cant be split into 2 equal parts.
I know i cant turn 9 upside down and make it 6 but i can turn 6 to make it 9.
Like an usual car, my new i10 car has 5 wheels(2 front + 2 Rear + 1 spare).
The rear wheel of the car will wear out after 21000 kilometers and the front wheel will wear out after 29000 kilometers.
What is the maximum distance I can cover assuming changing of wheels is not an issue?
Maximum distance: 30,450 kilometers.
For every 5 kilometers driven using this rotation, each tire will lose (2/29000)+(2/21000) of its tread.So, suppose we drive 5*N kilometers like this. Then, each tire will lose 2*N*((1/29000)+(1/21000)) of its tread. We wish to determine N so that the latter expression gets to be 1, representing all of each tire's tread. That happens when N=6090, which is when 5*N (the total kilometers were driven) is 30,450.
I have mixed 13 decks of cards.
What is the minimum number of cards must be taken out from the above mixed cards to guarantee at least one 'four of a kind'.
13 x 3 + 1 = 40
Explanation:
The number of decks is irrelevant i.e any number of decks can be mixed and still the answer would be same.
Any card drawn will be a Ace,2,3,4,5,6,7,8,9,10,Jack,Queen or King, so there are 13 possibilities each time a card is drawn.
The fastest and luckiest way would need just 4 cards of the same kind.
The slowest way is our solution as it will guarantee a four of a kind.
i.e draw 3 of each kind =>39 cards will be fetched. now next card will guarantee 4 of a kind.
Can you convert number zero(0) into a positive number using just one mathematical operator ?
0!
Find the value of a by solving the maths equation in the picture below
2(remember bodmas)
Find the next number in the sequence
5 12 24 36 ?
50
sum of consectuve prime numbers
(2+3 , 5+7 , 11+13 , 17+19 , 23+27)
I know a number which is spelled in an alphabetical order.
Do you ?
Forty
In a town, there are over 100 flats.
Flat-1 is named first flat.
Flat-2 is named second flat.
Flat-3 is named third flat.
A visitors 'Anmol' decides to walk through all the flats, he finds all the flats except flat-62.
Anmol later founds that the local of the town have given it another name.
What is the name of the Flat ?
One Minute flat
flat 62 => Sixty second flat => One minute flat
By using 'because'continuously three times, can you make a English statement ?
I a dictionary where 'acid' comes before 'because', because 'because' begins with 'B'.