# 100+ Challenging math riddles to keep your mind sharp

#### There is a unique number - Math Riddle

###### 122. Math Riddles

There is a unique number which when multiplied by any number from 1 to 6, we will get the new number that contains same digits only.

Can you find that number ?

142857

Explanation :

142857
142857 * 1 = 142857
142857 * 2 = 285714
142857 * 3 = 428571
142857 * 4 = 571428
142857 * 5 = 714285
142857 * 6 = 857142
These number are considered as cyclic numbers.

#### For long they are racing ? - Math Riddle

###### 123. Math Riddles

Before the start of the car race, Tony Stewart and Jamie Mcmurray have the same amount of fuel in the car. With this fuel Tony Stewart can drive for 4 hours while Jamie can drive five hours. After a time they realize that amount of fuel left in Tony car is 1/4th of the fuel in Jamie car. For long they are racing ?

5/6 hours

Explanation :

Let's call the amount of fuel in each car as "x".

Tony Stewart's car can drive for 4 hours with x amount of fuel, so his fuel consumption rate is x/4.
Jamie Mcmurray's car can drive for 5 hours with x amount of fuel, so his fuel consumption rate is x/5.

After a certain amount of time, they realize that the amount of fuel in Tony's car is 1/4th of the fuel in Jamie's car. So, x/4 = x/5 * 1/4.

Solving for x, we get x = 20.

So the amount of fuel in each car is 20.

Now, we can use the fuel consumption rate of each car to find out how long they have been racing.

Let's call the time they have been racing as "t".

Tony's car has x - x/4 * t = 20 - 20/4 * t = 20 - 5t amount of fuel left.
And Jamie's car has x - x/5 * t = 20 - 20/5 * t = 20 - 4t amount of fuel left.

We know that Tony's car has 1/4th of the fuel left in Jamie's car, so:
20 - 5t = (1/4) * (20 - 4t)
Expanding and simplifying, we get:
20 - 5t = 5 - t
25 - 6t = 5
t = 5/6 hours.

So, they have been racing for 5/6 hours.

#### Horse Cowboy Boot and Horseshoe Viral - Math Riddle

###### 124. Math Riddles

Can you solve the equation by finding the value of

A) Horse B)

Cowboy Boot

C) Horse Shoe

Horse = 10, Cowboy Boot = 1 ,Horse Shoe= 2

Explanation :

Horse = 10, Cowboy Boot = 1 ,Horse Shoe= 2

= Step 1 =
3 Horse = 30
= Horse = 10 .....(A)

= Step 2 =
1 Horse + 2 Horse Shoe + 2 Horse Shoe = 18
10 + 4 Horse Shoe =18
HorseShoe = 2 .....(C)

= Step 3 =
2 Horse Shoe - 2 Cowboy Boot = 2
4 - 2 Cowboy Boot = 2
= Cowboy Boot = 1 ... (B)

= Step4 =
Cowboy Boot + Horse * Horse Shoe = 1+10*2 = 21

#### Lena Dunham , Allison Williams, and Jemima Kirke - Math Riddle

###### 125. Math Riddles

Lena Dunham, Allison Williams, and Jemima Kirke are 3 daughters of a good mathematician "Geroge". When I asked George the age of their daughters. He replied "The current age of her daughters is prime. Also, the difference between their ages is also prime? How old are the daughters?

Lena Dunham : 2 , Allison Williams : 5 and Jemima Kirke : 7
Age diff : 7-2 is 5 , 7-5 is 2
and 5-2 is 3 which all are prime numbers

#### Equation Math Puzzle

###### 126. Math Riddles

1000 + 40 + 1000 + 30 + 1000 + 20 + 1000 + 10 = ?

Explanation :

4100.
1000 + 40 = 1040
1040 + 1000 = 2040
2040 + 30 = 2070
2070 + 1000 = 3070
3070 + 20 = 3090
3090 + 1000 = 4090
4090 + 10 = 4100

#### Social Media Icon Viral Math Puzzle Solution

###### 127. Math Riddles

Can You Solve this Social Media icon Viral Math Puzzle ?

Find the value of ‘?’

Explanation -

Let the YouTube icon be, Yt

Let the Facebook icon be, Fb

& The Instagram icon be, I

So rewriting the equations,

Equation(1); Yt + Yt + Yt = 21

Equation(2); Fb * Yt + Fb = 72

Equation(3); I * Fb + I = 80

Equation(4); (Yt + Fb) + Fb * I = ?

Now, initiating with equation(1);

Yt + Yt + Yt = 21

3Yt = 21

Yt = 7

Substitute the value of Yt in equation(2);

Fb * Yt + Fb = 72

Fb * 7 + Fb = 72

7Fb + Fb = 72

8Fb = 72

Fb = 9

Similarly, substitute the value in equation(3);

I * Fb + I = 80

I * 9 + I = 80

9 I + I = 80

10I = 80

I = 8

Now, moving for final equation(4), substitute the values in equation(4);

(Yt + Fb) + Fb * I = ?

= (7 + 9) + 9 * 8

= 16 + 72

(Yt + Fb) + Fb * I = 88

(Yt + Fb) + Fb * I = 88

#### Shoes Boy Popcorn Viral Math Puzzle with Solution

###### 128. Math Riddles

Find the value of '?' in "Shoes Boy Popcorn Viral Math Puzzle"
img

Take a pause & think...

Explanation -

Let the pair of shoes be, S

Let the boy be, B

& The popcorn be, P

Converting the above equations in the form of the above terms.

Equation (1); S + S + S = 30

Equation (2); B + B + S = 20

Equation (3); 2P + 2P + B = 13

Equation (4); (0.5)S + (B + 2P + S) * P = ?

Now, solve equation(1);

S + S + S = 30

3S = 30

S = 10

Substitute the value of S, in equation(2)

B + B + S = 20

2B + 10 = 20

2B = 10

B = 5

Similarly, substitute B in equation(3);

2P + 2P + B = 13

4P + 5 = 13

4P = 8

P = 2

Now, substitute all the values for final equation(4);

(0.5)S + (B + 2P + S) * P = ?

= (0.5)10 + (5 + 2*2 + 10) * 2

= 5 + (5 + 4 + 10) * 2

(0.5)S + (B + 2P + S) * P = 5 + 38

(0.5)S + (B + 2P + S) * P = 43