# Here’s the link to The Weekly Quiz #3 by Currentkids!

**To play the quiz: click here. Game Code: 1285043**

www.quizizz.com/join?gc=1285043

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# What weight will the fourth scale display?

Credit: Brilliant.org

#### What weight will the fourth scale display?

Think carefully! There’s a quick and clever shortcut for solving this.

Wrong!

Let

R, C, and D be the weights of the rabbit, cat, and dog, respectively. Each picture lends itself to an equation, giving us the following system:

R + C = 10,

D + R = 20,

C+ D = 24,

C + D + R = ?

If we add these equations together, we get

2C + 2R + 2D = 54.

If we divide by 2, we are left with the sum of the weights of each animal:

C + R + D = 27.

# Fun with Numbers

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#### What number must go in the yellow marked circle?

Brilliant.org

Wrong!

We can work backward starting from 16. We know that 2 circles multiply to make 16. We also know one number is 2. Since 2*8=16, the other value has to be 8.

Now we know at the bottom 3+x=8, thus x=5.

#### If all the empty circles are positive integers, how many solutions does this puzzle have?

Wrong!

Let’s start with the circle with no. 10. Three circles are added to make 10. One of the circles has a value of-2. So the balance 2 circles must add to: x+y-2=10, thus x+y=12.

Lets move our attention to the circles on the left of the puzzle. The 2 circles (3 and blank) multiply to form a blank circle. The blank circle can be anything between 1-11 as the sums says the circles are all positive integers. So the multiples of 3 within this range are: 3*1=3, 3*2 = 6, 3*3=9. Thus there are 3 possible solutions.

# Riddle: Test your Logic Skills

Suppose you are visiting an island with **knights** who always tell the truth, **knaves** who always lie, and **jokers** who can do either.

You meet three islanders named Theodore, Alvin and Simon. They all know what the others are (a knight, knave, or joker) and make the following statements:

If **exactly one of them is a joker**, how many of them are knights?

Choices:

- One of them
- Two of them
- None of them

Correct Answer: **One of them is a knight.**

Since exactly one of them is a joker and they all accuse different people of being jokers, the joker is lying. If the joker were telling the truth, then they would claim that they themselves are the joker, which none of these three are doing.

Given each person is accused by another, one of them is correctly accusing the joker of being a joker and thus is telling the truth. For instance, suppose that Theodore is the Joker. Then Simon is telling the truth. Or you can suppose that Alvin is the joker, in which case Theodore is telling the truth.

This person telling the truth can’t be a joker (since as already pointed out, the joker is lying), so the truth-teller must be a knight.

We’ve concluded that one person is a joker and at least one is a knight. The third person can’t be a knight (they must be a knave), because the knight and the third person are saying that different people are jokers, which is impossible with only one joker. For instance, if Theodore is the joker, then Simon is telling the truth (and is a knight) and Alvin is lying (and is a knave).

So, since there is only one truth-teller, there must be only one knight.

Note: “None of them are knights” is incorrect because one of them is a joker and all of them point to another person as the joker. One of them has to be telling the truth, and it’s not the joker.

# Take your luck at this brain teaser: Calm before the storm

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#### Try your luck at this Brain Teaser:

Click to Flip

# Word Play – 3

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#### This is easy! Can you guess this word play?

Dingbats

Click to Flip

#### Now try guessing this one.

Dingbats

Click to Flip

Dingbats

#### Finally, guess this word?

Click to Flip

Dingbats

# Riddle – The Japanese Ship

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#### Mr. Lee is a captain of a Japanese ship that is sailing from England to Sri Lanka. Mr. Lee is currently on the floorboard and when he goes back into his room he is shocked to discover that his antique watch has been stolen. Mr. Lee had 4 suspects in mind.

Click to Flip

# Are you ready for some more word play?

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#### Guess this popular phrase from the image below

Credit: Dingbats

Click to Flip

#### Guess this popular phrase in the image below.

Credit: Dingbats

Click to Flip

#### This one is tricky! Guess the phrase in the image below.

Credit: Dingbats

Click to Flip

# Word Play Mania – Try your luck!

#### World Play 1

Source: Dingbats

Click to Flip

#### Word Play 2

Source: Dingbats

Click to Flip

#### World Play 3:

Source: Dingbats

Click to Flip

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