# PocketThePenguin

 Benutzername PocketThePenguin Punkte 85 Membership Stats Fragen 15 Antworten 8

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56
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### How many consecutive digit 0s does have on the right end when it is written in base 12?

PocketThePenguin  30.09.2020
0
43
1
+85

### A bad car odometer goes from digit 3 to digit 5, always skipping the digit 4, no matter...

PocketThePenguin  30.09.2020
0
108
5
+85

### How many five-digit numbers of the form 32x5y are divisible by 72?

PocketThePenguin  17.09.2020
0
60
1
+85

### For each positive integer n, let S(n) denote the sum of the digits of n. How many three-digit n's are there such that ?

PocketThePenguin  17.09.2020
+1
58
1
+85

### A school bought many boxes of 100 candies each. The teachers opened all the boxes and...

PocketThePenguin  17.09.2020
+1
69
1
+85

### For each positive integer n, let S(n) denote the sum of the digits of n. How many three-digit n's are there such that

PocketThePenguin  17.09.2020
+1
124
1
+85

### When we divide the number of seconds in December by the number of seconds in November, we get a remainder of R. If we then divide R by 11...

PocketThePenguin  16.09.2020
+2
45
1
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### I have a picture with dimensions x and y (in inches), such that...

PocketThePenguin  12.09.2020
+1
62
1
+85

### Find all pairs (x,y) of real numbers such that x + y = 10 and x^2 + y^2 = 56.

PocketThePenguin  12.09.2020
0
55
1
+85

### A right triangle with integer leg lengths is called 'cool'' if ...

PocketThePenguin  12.09.2020
0
151
6
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### If m is the smallest positive integer such that m! is a multiple of 4125, and n is the smallest positive integer such that n! is a

PocketThePenguin  02.09.2020
0
101
1
+85

### x, y, and z are positive integers such that gcd(x,y,z)=14 and lcm(x,y,z)=630. What is the smallest possible value of x+y+z?

PocketThePenguin  02.09.2020
0
186
1
+85

### Determine the largest possible integer n such that 942! is divisible by 60^n.

PocketThePenguin  02.09.2020
0
81
1
+85

### If and , how many lattice points does the line ​ pass through? (A lattice point is a point with integer coordinates.)

PocketThePenguin  15.08.2020
0
248
2
+85

### Arrange the following numbers in increasing order:

PocketThePenguin  12.08.2020