Brain Teasers
Making 24
Try using any operation you want to make the each set of four numbers equal 24. You have to use all four numbers. You can rearrange the numbers if you need to.
1. 2, 4, 3, 9
2. 5, 1, 3, 2
3. 4, 5, 6, 2
4. 2, 5, 2, 1
5. 8, 4, 8, 7
6. -3, 6, -2, -4
1. 2, 4, 3, 9
2. 5, 1, 3, 2
3. 4, 5, 6, 2
4. 2, 5, 2, 1
5. 8, 4, 8, 7
6. -3, 6, -2, -4
Answer
1. (2x4x9)/32. 5(2+3)-1
3. (5x6)-2-4
4. (5+1)x(2x2)
5. (8x7)-(8x4)
6. (-3+6)x(-2x-4)
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Comments
Several of these have multiple answers:
1. (2x4x9)/3
Variation: ((9+3)*4)/2; 9/3x4x2
2. 5(2+3)-1
Variation: 5-1)*2*3
3. (5x6-2)-4
Variation: 4x5+6-2
4. (5+1)x(2x2)
5. (8x7)-(8x4)
Variations: (4-(8-7)x8 ; 4x(7-(8/)
6. (-3+6)x(-2x(-4))
Variation; -(-3x6)-(-2-4)
1. (2x4x9)/3
Variation: ((9+3)*4)/2; 9/3x4x2
2. 5(2+3)-1
Variation: 5-1)*2*3
3. (5x6-2)-4
Variation: 4x5+6-2
4. (5+1)x(2x2)
5. (8x7)-(8x4)
Variations: (4-(8-7)x8 ; 4x(7-(8/)
6. (-3+6)x(-2x(-4))
Variation; -(-3x6)-(-2-4)
They have a game like this called 24.
There are so many ways to do this, it's ridiculous. Especially since ANY operator can be used. Here are SOME of the ways:
2,4,3,9:
2*4*9/3
(9+3)*(4/2)
(4*9/2)+3!
(9+2-3-4)!
(9-3)*sqrt(2^4)
2*9+sqrt(4)*3
4!^(9/3-2)
(9-4)!/(2+3)
(3^2*4!)/9
2*4*(9-3!)
5,1,3,2:
(5-1)*2*3
5*(2+3)-1
(5+2+1)*3
5^2-1^3
5!/(2+3)^1
3!*(5+1-2)
(2+3)!*(1/5)
(2^3+1-5)!
(3!)!/(5*(1+2)!)
4,5,6,2:
(4+5)*2+6
4*5+6-2
5*6-4-2
2^5-sqrt(4)-6
6!/5/(4+2)
5!/2-6^sqrt(4)
(5!+4!)/(6/2)!
(5-2)*(6+sqrt(4))
(5+6/2-4)!
sqrt(5+4)*(6+2)
2,5,2,1:
(5+1)*2*2
(5+1)*(2+2)
5^2-1^2
(5+2-1-2)!
(5-1)!*2/2
5!/(1+2+2)
(1^5*2^2)!
8,4,8,7:
8*7-8*4
(7+4-8 )*8
(7-8/8 )*4
4!*(8/8 )^7
7*4-sqrt(8+8 )
(7-4)*sqrt(8*
(4!*8!)/(7!*8 )
(4*(8-7)^8 )!
8!/7!*4-8
-3,6,-2,-4:
(6+-3)*-2*-4
(6--4+-2)*-(-3)
-(-2+-4)-(6*-3))
(-4*-3)-(6*-2)
4*6*(-3-(-2))
(6/-2)*-sqrt(-(-4))^(-(-3))
((1^5+2)!-2)!
6!/(-(-4))!-(-2*-3)
-(-2)^-(-3)*6/sqrt(-(-4))
6^-(-2)-sqrt(-(-4))^-(-3)
4!^(6/(-2*-3))
2,4,3,9:
2*4*9/3
(9+3)*(4/2)
(4*9/2)+3!
(9+2-3-4)!
(9-3)*sqrt(2^4)
2*9+sqrt(4)*3
4!^(9/3-2)
(9-4)!/(2+3)
(3^2*4!)/9
2*4*(9-3!)
5,1,3,2:
(5-1)*2*3
5*(2+3)-1
(5+2+1)*3
5^2-1^3
5!/(2+3)^1
3!*(5+1-2)
(2+3)!*(1/5)
(2^3+1-5)!
(3!)!/(5*(1+2)!)
4,5,6,2:
(4+5)*2+6
4*5+6-2
5*6-4-2
2^5-sqrt(4)-6
6!/5/(4+2)
5!/2-6^sqrt(4)
(5!+4!)/(6/2)!
(5-2)*(6+sqrt(4))
(5+6/2-4)!
sqrt(5+4)*(6+2)
2,5,2,1:
(5+1)*2*2
(5+1)*(2+2)
5^2-1^2
(5+2-1-2)!
(5-1)!*2/2
5!/(1+2+2)
(1^5*2^2)!
8,4,8,7:
8*7-8*4
(7+4-8 )*8
(7-8/8 )*4
4!*(8/8 )^7
7*4-sqrt(8+8 )
(7-4)*sqrt(8*
(4!*8!)/(7!*8 )
(4*(8-7)^8 )!
8!/7!*4-8
-3,6,-2,-4:
(6+-3)*-2*-4
(6--4+-2)*-(-3)
-(-2+-4)-(6*-3))
(-4*-3)-(6*-2)
4*6*(-3-(-2))
(6/-2)*-sqrt(-(-4))^(-(-3))
((1^5+2)!-2)!
6!/(-(-4))!-(-2*-3)
-(-2)^-(-3)*6/sqrt(-(-4))
6^-(-2)-sqrt(-(-4))^-(-3)
4!^(6/(-2*-3))
Jun 30, 2009
for 2: (5-1)x3x2=24
for 3: (4x5)+6-2=24
for 3: (4x5)+6-2=24
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