HELP ME...uRGENT!

A kayaker paddles due north at 2 m/s. The river the kayaker is paddling in flows towards the east at 1 m/s. After 5 seconds of paddling, how far is the kayaker from where she started in m?

a,b,c are positive integers such that a:b=7:9 and b:c=12:7. What is the smallest possible value of a?

Let N=1!⋅2!⋅3!⋅4!…9!⋅10!. Let 2^k be the largest power of 2 that divides N. What is the value of k?

What is the smallest 3-digit positive number whose product of the individual digits is still a 3-digit number

The product of 2 positive integers is 1000. What is the smallest possible sum of these 2 integers?

41 different balls are drawn from a bag containing balls labelled 1,2,…,300. The probability that the number of balls drawn that are labelled with an odd number is larger than the number of balls drawn that are labelled with an even number can be expresse...