happypuppy wrote:
Yesterday, Tom had only racing cars and robots in toys. Out of the total number of toys that he had yesterday, 11/20 were racing cars. Today, his dad bought some new racing cars and robots for him. If he didn’t lose or break any toy from yesterday, is the fraction of the robots that he has today is less than yesterday?
(1) Less than 1/2 of the new toys are robots.
(2) Today, the number of total toys he has is 1/4 more than the total number of toys that he had yesterday.
Let, total toys = 20x
then Cars = (11/20)*20x = 11x
Robots = 20x-11x = 9x
Fraction of Robots Yesterday = 9/20 (i.e. Less than 1/2)
Question: Is the fraction robots today < 9/20?Statement 1: Less than 1/2 of the new toys are robots.Case 1: If new robots/Total new toy = 9/20 (i.e. equal to 9/20 ratio of yesterday), then
the required ratio today = Ratio yesterdayCase 2: If new robots/Total new toy = 19/40 (i.e. greater than 9/20 but less than 1/2), then
the required ratio today > Ratio yesterdayCase 3: If new robots/Total new toy = 8/20 (i.e. Less than 9/20 but less than 1/2), then
the required ratio today > Ratio yesterdayNOT SUFFICIENTStatement 2: Today, the number of total toys he has is 1/4 more than the total number of toys that he had yesterdayThe information is not supportive as we need the ratio of new robots to new total toys and need to compare that with 9/20 to answer the question as shown in statement 1 working hence
NOT SUFFICIENTCombining the statements NOT SUFFICIENTAnswer: Option E
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