CAT DILR Questions | CAT Data Sufficiency questions
Comprehension
Directions for Questions: These questions are based on the information given below.
In each question, you are given certain data followed by two statements, for answering the question
Mark (a) , if the question can be ansered with the help of one of the statements, but not with the help of the other statement.
Mark (b), if the question can be answered with the help of either of the statements alone.
Mark (c), if the question can be answered only with the help of both the statements
Mark (d), if the question can not be answered even with the help of both the statements together
CAT/1999
Question . 65
How many sets of positive integers (x,y) satisfy the following equations ax + by = c; dx + ey = f where a, b, c, d, e, f are non- zero
I. a kd, b ke,c kf; k non zero
II. a = b = d = e = 1 and c#f.
Explanatory Answer
Method of solving this CAT DILR Question from Data Sufficiency question
(b) Statement one implies that both the equations are basically the same, which gives the number of solution sets as infinite, but +ve integral solution sets are limited and will depend on the particular values of the coefficients. Statement 2 implies that the set of equations is inconsistent, which give number of solution set as nil.