# PocketThePenguin

 Username PocketThePenguin Score 75 Membership Stats Questions 13 Answers 7

0
55
5

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

PocketThePenguin  Sep 17, 2020
0
36
1

### 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  Sep 17, 2020
+1
35
1

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

PocketThePenguin  Sep 17, 2020
+1
34
1

### 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  Sep 17, 2020
+1
60
1

### 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  Sep 16, 2020
+2
30
1

### I have a picture with dimensions x and y (in inches), such that...

PocketThePenguin  Sep 12, 2020
+1
34
1

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

PocketThePenguin  Sep 12, 2020
0
35
1

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

PocketThePenguin  Sep 12, 2020
0
122
6

### 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  Sep 2, 2020
0
77
1

### 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  Sep 2, 2020
0
157
1

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

PocketThePenguin  Sep 2, 2020
0
68
1

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

PocketThePenguin  Aug 15, 2020
0
183
2

### Arrange the following numbers in increasing order:

PocketThePenguin  Aug 12, 2020