What is the maximum number of pieces of 5 cm x 5 cm x 10 cm cake that can be cut from a big cake of 5 cm x 30 cm x 30 cm size ?

examrobotsa's picture

Submitted by examrobotsa on

Q: 150 (IAS/2000)
What is the maximum number of pieces of 5 cm x 5 cm x 10 cm cake that can be cut from a big cake of 5 cm x 30 cm x 30 cm size ?

question_subject: 

Maths

question_exam: 

IAS

stats: 

0,3,0,0,0,3,0

keywords: 

{'cm cake': [0, 1, 0, 0], 'maximum number': [1, 0, 1, 2], 'big cake': [0, 1, 0, 0], 'pieces': [0, 2, 1, 2], 'cm size': [0, 1, 0, 0]}

The question pertains to determining how many smaller cakes can be cut from a larger cake given their dimensions.

Option 1 suggests 10 pieces could be cut. However, this is incorrect as the larger cake has a dimension of 30 cm in two directions, allowing for more than 10 pieces.

Option 2 suggests 15 pieces. This is not correct either, as the larger cake`s dimensions allow for a greater number of pieces if properly divided.

Option 3 suggests 18 pieces. This is the correct answer. The larger cake`s dimensions are 6 times the smaller cake`s two of the dimensions (30 cm divided by 5 cm results in 6). Thus, in two directions, you can cut 6 pieces each time, and you multiply these to find out the total number of pieces (6 pieces * 3 times = 18 pieces).

Option 4 suggests 30 pieces. This is incorrect because it fails to account for the fact that the smaller cake`s longest dimension (10 cm) only allows for 3 cuts in the larger cake`s longest direction (30 cm), not the 6 cuts allowed by the smaller dimensions.