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DILR April 14, 2018

Concepts discussed on April 14, 2018

Data Interpretation Logical Reasoning - Mixed Bag

Welcome to the live session of Data Interpretation Logical Reasoning - Mixed Bag. The concepts and questions discussed on April 14, 2018 during the live session follow the embedded video. The video link next to each concept will take you to the start of the part of the video where that specific concept is discussed. Click the video embedded below to watch the entire session.

Ramanujam

Professor Ramanujam at Prime Coaching classes was evaluating mid term results of his students. Each of the students in his class took up a test in Physics, Chemistry and Mathematics. The following details were observed.
The number of students in the class is a two digit prime number.
The number of students who passed only Physics, only Chemistry and only Maths are all consecutive two digit prime numbers.
The number of students who passed in each combination of exactly two subjects and the number of students who passed in all the subjects are distinct single digit prime numbers.
The number of students who failed in all the three subjects is a prime number and is more than one third the total number of students.

1. If the number of students who passed in Physics is a perfect cube, then what is the number of students who failed in Physics but did not fail in all the three subjects?

2. If the number of students who passed in Physics, the number of students who passed in Chemistry and the number of students who passed in Maths are all prime numbers, then what is the number of students who did not fail in any subject?

3. If the number of students who passed in Physics, the number of students who passed in Chemistry and the number of students who passed in Maths are three consecutive natural numbers in ascending order, then what is the number of students who passed in Chemistry?

4. If the number of students who passed in Chemistry is the same as the number of students who failed in all three subjects, then what is the number of students who passed in Physics only or passed in Maths only?

Visualization: Cubes

729 identical red cubes are stacked into 27 identical cubes. These 27 cubes are painted blue on the exterior faces without disturbing the arrangement. These 27 cubes are then stacked to form a large cube. The large cube is then painted yellow on the exterior faces without disturbing the arrangement. The large cube is then dismantled to get the 729 small cubes.

1. How many of these 729 small cubes have red color on more than three faces?

2. How many of these 729 small cubes have no blue colored face?

3. How many of these 729 small cubes have equal number of blue and green faces?

4. How many of these 729 small cubes have three faces of one color, two faces of a second color and one face of the third color?