y=3x+2 - point (r,s)

In the xy plane, does the line with equation y=3x+2 contain the point (r,s)?

1) (3r+2-s)(4r+9-s)=0
2) (4r-6-s)(3r+2-s)=0.

Pls explain the step and the logic to solve similar type of problems.

prime numbers

If x, y, and z are consecutive prime numbers and x < y < z, which of the following must be true?

I. (x+y)/2 is an integer.

II. xyz has exactly 8 factors.

III. y – x = 1


a) I only

b) II only

c) III only

d) I and II only

e) II, and III

Factors

If p and q are positive integers, is every factor of p a factor of q?

(1) p is a factor of q.

(2) The product of the prime factors of p is a factor of q.

DS- French/Japanese

at least 100 students at a certain high school study Japanese. if 4 percent of the students at the school who study french also study Japanese, do more students at the school study french than Japanese. 1) 16 students at the school study both french and Japanese 2) 10 percent of the students at the ...

committee problem

A committee of three people is to be chosen from four married couples. What is the number of different committees that can be chosen if two people who are married to each other cannot both serve on the committee?
a) 16
b) 24
c) 26
d) 30
e) 32.

Pls explain how to solve such problems in general

accepted. My mistake.

Will post problems in different threads.

thanks

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1000_SC 2 Problem

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