Latest Infosys Aptitude Question SOLUTION: What is the maximum number of slices can you obtain by cutting a cake with only 4 cuts?

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What is the maximum number of slices can you obtain by cutting a cake with only 4 cuts?

Asked In Infosys (14 years ago)

Solved Sanjana Patnaik Read Solution (10)

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Read Solution (10) :

PRIYANKA KUMARI SAH  (10 years ago)

2^4= 16

step 1: cut the cake from middle in two equal pieces. this is the first cut and we get two pieces.

step 2: put one piece on the other piece vertically and cut them from top to bottom. this is the 2nd cut and we have 4 piece.

step 3: again put the 4 pieces on each other vertically and cut from top to bottom. this is 3rd cut and we have 8 piece.

step[ 4: again put all the 8 pieces on each other vertically and cut from top to bottom. this is the 4th cut and we have 16 equal piece.

Is this solution Helpfull? Yes (35) | No (1)  

jyoti  (10 years ago)

correct answer is 16, 9 is wrong answer.

Is this solution Helpfull? Yes (4) | No (1)  

Tijo Jose  (14 years ago)

Theoretically, it is 16. For that you need to make these 4 cuts using four different planes one each along either of the four dimensions.

Is this solution Helpfull? Yes (3) | No (5)  

Sanjana Patnaik  (12 years ago)

The maximum no. of slices can be 9
Because x+y=4 and (x+1)*(y+1) must be maximum
Hence, two cuts in one direction and two cuts in another direction gives
you 3*3=9 pieces

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SUYASH PANDEY  (10 years ago)

answer is 12

Is this solution Helpfull? Yes (2) | No (1)  

Alok  (9 years ago)

ans should be 11 because after cutting into 4 equal parts by using 2 cuts we again cut in diagonally but without passing through centre and in a same way doing for another diagonal total makes 11 pieces

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ASHISH  (9 years ago)

yes ans shud be 16 if asking for max

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lekha gupta  (9 years ago)

1 from left 1in center 1 from right and 1 separating upper and lower party. so total 12

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ASHISH  (9 years ago)

option:1
1st cut: 1+1=2
2nd cut: 1+1+2=4
3rd cut:1+1+2+3=7
4th cut: 1+1+2+3+4=11
if 5th cut ll be: 1+1+2+3+4+5=16

option:2
1+[n(n+1)/2] pieces

like 4 pieces:
1+[4(4+1)/2] = 11

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Pankaj Zaparde  (9 years ago)

cut the cake as 1 cut + 1 cut +1cut +1cut so that each cut will divide the cake into 2 slices.
1st = 2 slices
2nd = 2 slices
3rd = 2 slices
4th= 2 slices
now multiply all slices as 2 * 2* 2 *2 = 16

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