### CAT - Linear Quadratic Equations

**Question:**

3x + 4|y| = 33. How many integer
values of (x, y) are possible?

A. 6

B. 3

C. 4

D. More than 6

**Correct Answer: (D)**

**Solution:**

Let us rearrange the equation:

3x = 33 – 4|y|

Since x and y are integers, and
since |y| is always positive regardless of the sign of y, this means that when
you subtract a multiple of 4 from 33, you will get a multiple of 3.

Since 33 is already a multiple of
3, in order to obtain another multiple of 3, you will have to subtract a
multiple of 3 from it. So, y has to be a positive or a negative multiple of 3.

y = 3, -3, 6, -6, 9, -9, 12,
-12...etc.

For every value of y, x will have
a corresponding integer value.

So there are infinite integer
values possible for x and y.

**Level of difficulty 1**

Labels: CAT - Linear Quadratic Equations Questions and Solutions, CAT 2013 questions, CAT 2013 Solutions, CAT Coaching classes Chennai

## 0 Comments:

Post a Comment

Subscribe to Post Comments [Atom]

<< Home