36
36
According to the numerical puzzler, Digit total means adding up the digits in the number and then seeing if it is less than ten. Eg. 1111 = 1+1+1+1 = 4 and so is less than 10. 76 would be 7+6 = 13 and so would not be less than 10. Hope this helps?
The first 8 digit number is 10,000,000, the last is 99,999,999 which means there are 90,000,000 8 digit numbers
in sigle digit -1 in double digit - 18 in triple digit - 19+(100+19) +19+19 total=195
First digit can be 1,2,3,4,5,6,7,8,9 Second through Fourth digit can be 0,1,2,3,4,5,6,7,8,9 Total number of passwords = 9 x 10 x 10 x 10 = 9,000 If no digit can be repeated in a password, then the possibilities are 9 x 9 x 8 x 7 = 4,536
56
36
Yes. Digit total is 9 which is a multiple of 3 so it is too.
I'll guess those are three-digit numbers. The way to find if a number is a multiple of 3 is to total its digits. If that total is a multiple of 3, the whole number is a multiple of 3. 285 and 126, yes. 770, 176, 410, 452, 650, no.
There are multiple answers. The only criteria is that the last digit be one third of the second to last ( the tens digit ). So, 731 works as does 362 and 1,631, 2,162 and 11,162. You can also do 111,111,131.
According to the numerical puzzler, Digit total means adding up the digits in the number and then seeing if it is less than ten. Eg. 1111 = 1+1+1+1 = 4 and so is less than 10. 76 would be 7+6 = 13 and so would not be less than 10. Hope this helps?
Easier than what? The easiest way to produce a three-digit number that is a multiple of 3 (has 3 as a factor) is to make sure the digits total to a multiple of 3. 123, 555, 498 are all multiples of 3.
48
2010Answer 2If you half it and you get a multiple of 3, then what you are saying is it is a multiple of 6 (2 x 3 = 6).So you want a 4 digit number, a number between 1000 and 9999, which is a multiple of 6.The lowest is 1002 (= 6 x 167), followed by 1008, 1014, 1020 ... etc. up to 9996 (= 6 x 1666).So, there are a total of 1500 such numbers.
The LCM that satisfies the condition is 48.
Starting with the number just before the "decimal/binary" point and going left: you leave the first digit as it is, add 2 times the digit to its left, add 4 times the digit to its left, add 8 times the digit to its left, and so on to the end. The multiple is doubled each time. If you have digits to the right of the point, you add 1/2 times the first digit add 1/4 times the digit to its right, add 1/4 times the digit to its right, and so on to the end. The multiple is halved each time. The grand total is the equivalent decimal number.
the squares of 10 though 22 are all three digit numbers under 500. though none of the sums of their digits total an even multiple of 15.