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A "birthday number" is defined as follows: add all digits of the month and day of the birthday. For example, November 24th has "birthday number" 1+1+2+4=8.
What are the birthdays that share the second smallest birthday number?
second smallest birthday number is 03
and birthdays are
(1) Jan 2nd :0+1+0+2=03
(2) Jan 11th :0+1+1+1=03
(3) Jan 20th :0+1+2+0=03
(4) Feb 1st :0+2+0+1=03
(5) Feb 10th :0+2+1+0=03
(6) Oct 2nd :1+0+0+2=03
(7) Oct 11th :1+0+1+1=03
(8) Oct 20th :1+0+2+0=03
(9) Nov 1st :1+1+0+1=03
(10) Nov 10th:1+1+1+0=03
2 Jan --> 2+1 = 3
As any other date or month would give more than 3
1/1 = 1 + 1 = 2 is the lowest number.
Hence we need the second lowest number i.e. 3
The following dates will be satisfying this (DD/MM format)
2/1, 11/1, 20/1, 1/2, 10/2. 2/10. 20/10, 1/11 & 10/11
What are the largest and smallest 5-digit numbers that satisfy the following conditions?
A. Each digit of the number is a prime digit.
B. Each successive pair of digits forms a 2-digit number that is NOT a prime number.
C. Each of the prime digits must appear at least once in the 5-digit number.
Can you find the smallest positive number such that if you shuffle the digits of the number in a particular order, the shuffled number becomes twice the original number.
Below shows the first 5 positive integers formed by using the four mathematical operators (+ - * /) only on the digit 4 four times.
1 = 44 / 44
2 = 4*4 / (4+4)
3 = (4+4+4) / 4
4 = 4 + (4*(4-4))
5 = (4+(4*4)) / 4
What is the smallest positive integer that cannot be represented using these conditions?
What is the smallest whole number that, when written out, uses all the vowels, A, E, I, O, U and even Y one and one time only each in its spelling?
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