In today’s post we are going to take a look at a few logic exercises, for you to be able to practice your reasoning.

Smartick highly values training in all of the procedures necessary to solve math exercises. Among them, logical reasoning is one of the most important.

With the following exercises, you will be able to practice the basic process that will help you find solutions to different situations, by supporting yourself with the context that surrounds said situation.

Let’s do this!

### Logic Exercise 1

**Is it possible that out of 9 peers, no two people will have a birthday during the same month?**

- Yes, it is possible
- It is impossible
- The answer cannot be found

### Logic Exercise 2

**Nina bought a box of differently colored pens: blue, black, and red. How many pens would she need to take out of the box, without looking, to make sure that at least 5 are the same color?**

Answer: She would need to take ______ pens out of the box.

### Logic Exercise 3

**What is the minimum number of cards that you would have to ****draw from a deck to definitely end up with 3 cards from the same suit?**

Hint: The standard American deck of cards has 52 cards divided into four suits (spades, diamonds, hearts, and clubs). Each suit contains cards numbered from 2-10, and an Ace, Jack, Queen, and King.

Answer: You would have to draw a minimum of ____ cards.

**Logic Exercise 4**

**Which of the following lassos is formed by more than one piece of rope?**** There can be more than one answer.**

**Logic Exercise 5**

**David, who is one year minus one day older than Daniel, was born on January 1 ^{st}, 2010. **

**What date was Daniel born on?**

- December 1
^{st}, 2011 - December 31
^{st}, 2008 - December 31
^{st}, 2009 - January 2
^{nd}, 2011 - December 31
^{st}, 2010 - January 2
^{nd}, 2009

Do not search for the answers to the exercises—this time you will have to solve them on your own! Don’t give up, believe in yourself, and don’t forget that math is not just about solving operations. Exercise your mind!

You can leave your answers in the comments and we will tell you if they’re right.

If you would like to do more logic exercises, go to Smartick and try our method for learning mathematics.

Learn More:

- Learning Logic: Children’s Favorite Smartick Sessions
- Logic Exercises: Graphs
- Smartick Logic Exercises with Operators
- Logic Exercises at Smartick and a Math Riddle
- Logic Exercises at Smartick

- Scales in Mathematics: What Are They and What Are They Used For? - 01/12/2024
- Mathematical Functions: Do You Know What They Are? - 11/13/2023
- How to Apply the Order of Operations - 10/24/2023

Cool, thank you.

Can somebody explain why Nina has to pick up 13 pens?

Hello, here is the explanation:

Suppose there are pens of three colors in the box: blue, black and red, and there are the same number of pens of each color.

To ensure that you have at least 5 pens of the same color, you could find yourself in the worst case scenario, where you take out 4 pens of each color and still don’t have 5 of the same color. In this case, you would have already taken out a total of 3×4=12 pens (4 blue, 4 black and 4 red).

The next pen you take out will necessarily be the same color as one of the colors you have already taken out at least 4 times. Therefore, in the worst case scenario, you would need to take out at least 12+1=13 pens to ensure that you have at least 5 pens of the same color.

5. Answer 6

4. 1 , 3, 5

1.) Option 1, since my classmates who had a group of 8 were able to have 3 people of the same month for a birthday.

2.) 15, but any number above 15 would work aswell since the nature of the question didn’t ask me to choose an answer that requires the least amount of pens.

3.) 12, as there are only 4 suits in a deck. Drawing 3 cards of the same suit would become unavoidable. (same logic applies with question #2)

4.) Options I, III, and V. All the mentioned options had multiple ropes connecting them when observed closesly.

5.) January 2nd 2009, David, who was older than Daniel was mentioned to be older than Daniel by 1 year minus 1 day. It was also mentioned that David’s birthday was January 1st 2010. Using process of elimination my only options were December 31st 2009 and January 2nd 2009 since they are dates with minus 1 year. December 31st is illogical as that is minus 1 day and not a year. So my answer is option 6.

Hi!

Thanks for answering our Summer quiz! The correct answers are:

1. Yes, it is possible (a)

2. 13 pens

3. 9 cards

4. I, III, IV

5. December 31st, 2010 (5)

1=1

2=1

3=49

4=II,III.IV.V

5 =31 December 2009

1 – a

2 – 13? Not sure

3 – 9 cards

4 – I, III, IV

5 – December 31st, 2010

please be right TT

1. 1

2. 15

3. 41

4. None

5. 6

1. 1

2. 15

3. 12

4. 1;3;5

5. 5

1) 1

2) all tne pens

3)13

4) II

5)4

1. 1

2. all the pens

3. 42

4.1, 3, 5

5. 5

1. 1

2. 1

3. 3

4. 1 & 2

5. 2

Hi Arceli!

Thanks for answering our Summer quiz! The correct answers are:

1. Yes, it is possible (a)

2. 13 pens

3. 9 cards

4. I, III, IV

5. December 31st, 2010 (5)

No 1,… (1)

No 2:… (10)

No 3:..(2)

No 4.. (None is one rope.)

No5..(4)

Logic Exercise 1 : 1

Logic Exercise 2 : (13)

Logic Exercise 3 : (9)

Logic Exercise 4 : (I, III and v)

Logic Exercise 5 : 5

are they correct ?

Hello Fabio!

Thanks for answering our Summer quiz! The correct responses are:

1. Yes, it is possible (a)

2. 13 pens

3. 9 cards

4. I, III, IV

5. December 31st, 2010 (5)

Congratultions! You solved the 5 logic exercises correctly.