CAT Quantitative Ability Questions | CAT Number System questions
CAT/1996
Question . 157
A salesman enters the quantity sold and the price into the computer. Both the numbers are two-digit numbers. Once, by mistake, both the numbers were entered with their digits interchanged. The total sales value remained the same, i.e. Rs 1148, but the inventory reduced by 54.
What is the actual price per piece ?
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Explanatory Answer
Method of solving this CAT Quantitative Ability Question from Number System question
(b) As q is an integer, both p and p' must divide 1148. Now checking the options :
(a) 1148 is divisible by 82 and 28 but does not satisfy (i)
(b) 1148 is divisible by 41 and also by 14. It gives q = 28 and satisfies (i)
(c) 1148 is divisible by 56 and not by 65.
(d) 1148 is also divisible by 28 and 82 but does not satisfy (i).
hence option (b)