Hi HarveyKlaus,
While dealing with DS questions on percentages, ratios and word problems it is always recommended that you
'deconstruct the question'. Doing so will provide clarity on why a statement will be sufficient or insufficient.
Of the people surveyed last Monday, 60% were homeowners. Of the people surveyed last Tuesday, 40% were homeowners. Was the number of homeowners surveyed last Tuesday greater than the number of homeowners surveyed last Monday?
Let the number of people surveyed last Monday be
'x' and let the number of people surveyed last Tuesday be
'y'.
The number of homeowners surveyed last Monday will be
(60/100) * xThe number of homeowners surveyed last Tuesday will be
(40/100) * yNow the question asks us 'Was the number of homeowners surveyed last Tuesday greater than the number of homeowners surveyed last Monday'. Putting this into an equation form we get
Is (40/100) * y > (60/100) * x (60/100) * y < (40/100) * x, simplifying we get
Is 3x - 2y < 0Statement 1 : The number of people surveyed last Tuesday was 55% greater than the number of people surveyed last Monday If the number of people surveyed last Monday is 'x' and the number of people surveyed last Tuesday is 'y' then
y = 1.55x Substituting y - 1.55x in 3x - 2y < 0 we get
3x - 2(1.55x) < 0 -----> 3x - 3.10x < 0. This will give us a definite YES since x and y are always positive.
Sufficient.
Statement 2 : 300 people were surveyed last MondayHere we have x = 300 but do not have a definite value for y, so depending on whatever value of y we take we can either get a YES or a NO.
Insufficient.
OA : A
CrackVerbal Academics Team
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