Cake ( Solve the problem and eat a cake )

Algebra Level 2

A CUBICAL CAKE IS CUT INTO SEVERAL SMALLER CUBES BY DIVIDING EACH EDGE IN 7 EQUAL PARTS. THE CAKE IS CUT FROM THE TOP ALONG THE TWO DIAGONALS FORMING FOUR PRISMS . SOME OF THEM GET CUT & REST REMAINED IN CUBICAL SHAPE. A COMPLETE CUBICAL ( SMALLER ) CAKE WAS GIVEN TO ADULTS & THE CUT OFF THE PART OF A SMALLER IS GIVEN TO A CHILD( WHICH IS NOT AN ADULT). IF ALL THE CAKES WERE GIVEN EQUALLY EACH PIECE TO A PERSON , TOTAL HOW MANY PEOPLE COULD GET THE CAKE ?

367 343 448 456

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2 solutions

Venture Hi
Feb 13, 2014

After cutting diagonally from the top, you get 64 pieces per layer. So, 64 multiple 7=448. Really chintzy if you ask me.

same as I thought and I got it correct

Hrishikesh Dani - 7 years, 3 months ago

My goodness..... what a simple way

ashutosh mahapatra - 7 years, 2 months ago

64 multiple 7 are 448

Elit Praptono - 7 years, 2 months ago

Thnx for such a simple way

Renu Tyagi - 7 years, 2 months ago

HOW DO YOU GET 64 PIECES PER LAYER.AS EACH ROW AND COLUMN GIVES 7 SMALL CUBES ON EACH HORIZONTAL AND VERTICAL DIRECTION ?

Srinjoy Chowdhury - 5 years, 11 months ago
Pradnya Bhangle
Apr 6, 2014

Since the children and adults get equal amount, the answer should be even. That leaves us with 2 options. Now the first statements states the edge is cut into 7 parts. Therefore the answer should be a multiple of 7. Process of elimination !!!

plz give proper solution

Mit Pandya - 7 years, 1 month ago

dude then to 343 remains as its 7^3

Mit Pandya - 7 years, 1 month ago

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