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E

Assume there are 100 students initially out of which 10 graduated with Honours.

No. of students increased by 40% i.e 40% of 100 = 140.
While No of students graduating with Honours increased by 20% i.e 20% of 10 = 12

Given the above two statements, No of students graduating without honours increased from 90 to 128 which is 42.2% (greater than 40)
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What is the source of this question? I got answer E through POE but I don't understand why E is necessarily true.

Lets say Original number is 100 and increased by 40% gives us 140 students graduating.
x students graduate with honors and 20% increase is x times 1.2

here, x can be any number less than or equal to hundred. So why is it true that the number of students graduating without honors increased by more than 40 percent.

So confused :(
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pra1785
What is the source of this question? I got answer E through POE but I don't understand why E is necessarily true.

Lets say Original number is 100 and increased by 40% gives us 140 students graduating.
x students graduate with honors and 20% increase is x times 1.2

here, x can be any number less than or equal to hundred. So why is it true that the number of students graduating without honors increased by more than 40 percent.

So confused :(
let total students be 100
case 1
honors be 90 and non honrs be 10

case 2
honors be 10 and non honrs be 90

new total number is 140

so in case 1
total num of honrs stdnt= 1.2 x 90= 108, so non honrs student = 32 .
so increase is 22/10=220 percent

incase 2
total num of honrs stdnt= 1.2 x 10= 12, so non honrs student = 128 .
so increase is 38/90=42 percent
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I eliminated all the other options and struck with A and c.I finally thought it might be A .could you please explain me how to arrive at C and how should i eliminate when i was struck with two such choices A and c
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Pranithare
I eliminated all the other options and struck with A and c.I finally thought it might be A .could you please explain me how to arrive at C and how should i eliminate when i was struck with two such choices A and c
Hi Pranithare.

The truth is that the correct answer is neither A nor C. Both are incorrect for similar reasons, as each choice could explain the difference between the two changes described in the scenario, but neither has to be the true given what the passage says.

Notice, since either A and C could explain the difference between the two changes in numbers, neither has to be true.

There is among the choices other than A and C one that has to be true given what the passage says.
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