MATH

Logic and Truth Tables

I.Given the following propositions, write the following in symbols: p: Mary is a doctor.

q: Mary lives in Makati City. r: John is a dentist.

s: John loves eating pizza.

1.If Mary lives in Makati City, then she is a doctor.

2.John is a dentist and Mary is a doctor.

3.John loves eating pizza if and only if Mary lives in Makati City.

4.John is a dentist or Maria is a doctor.

5.If Mary lives in Makati City, then John is a dentist or Mary is a doctor.

II.Construct a truth table for the following propositions:

1. ??

2. (? ?)

Problem Solving

I.Identify the next sequence of the given.

1. 23, 27, 31, 35, 39,

2.2, 10, 26, 40, 72,

3.1, 4, 8, 16, 32,

4. 1, 16, 81, 256, 625,

5. 1, 1, 2, 3, 5, 8, 13,

II.Solve the following problems.

1.The day before two days after the day before tomorrow is Monday. What day is today?

2.If six cats can catch four mice in six minutes, how long will it take one cat to catch one mouse?

3.Arabelle has twelve pink socks and twelve blue socks in her drawer. In complete darkness, and without looking, how many socks must she take from the drawer in order to be sure to get a pair that match?

4.Ben's mom has four children. The first child is called May. The second June.

The third July.

What is the name of the fourth child?

5.There are three boxes. One is labeled "PEARS" another is labeled "GRAPES". The last one is labeled "PEARS AND GRAPES". You know that each is labeled incorrectly. You may ask me to pick one fruit from one box which you choose. How can you label the boxes correctly?