# IIM CAT Preparation Tips

2IIM's blog on cracking the quant section of the CAT. Frequent posts on interesting questions, tips, shortcuts in math.

## Feb 27, 2014

### Inequalities Question and Solution

### Functions Question and Solution

Question

Consider set A with 'a' elements, set B with 'b' elements, set C with 'c' elements. We can define a function that is one-one but not onto from set A to set B, a function that is onto but not one-one from set B to set C; and a function that is injective but not surjective from C to A. Arrange a, b, c in ascending order.

Explanation

Consider set A with 'a' elements, set B with 'b' elements, set C with 'c' elements. We can define a function that is one-one but not onto from set A to set B, a function that is onto but not one-one from set B to set C; and a function that is injective but not surjective from C to A. Arrange a, b, c in ascending order.

Explanation

Labels: 2IIM, 2iim Chennai, CAT, CAT classes Chennai, CAT Functions, functions questions with solutions, functions video, Rajesh Balasubramanian

## Feb 6, 2014

### Algebra Question and Solution

Question

|x| + |2y| + |3z| = 13, x * y * z is non-zero; x, y, z are all integers. How many sets of values are possible?

Answer

64 sets of values

Explanation

|x| + |2y| + |3z| = 13, x * y * z is non-zero; x, y, z are all integers. How many sets of values are possible?

Answer

64 sets of values

Explanation

Labels: 2IIM, 2iim Chennai, Algebra, CAT Coaching classes, CAT Coaching classes Chennai, CAT Counting, CAT Inequalities, CAT Permutation Combination, CAT questions, Rajesh Balasubramanian