Problem Solving

76 % of total weigh below 154 kg, also, 60 % of those weigh more than 100 is above 154 kg. Which of the following is possible median?

a) 90
b)120
c)145
d)160

answer:a

ok this is s bit difficult to explain because i have not used formulas, just common sense.

Put it this way:as if you are weighting 100 cars. You know that 76 of those cars weight less than 154kg. And you know that 60% of the cars that weight more than 100kg weight more that 154kg....that gives you 24 cars that weight more that 154 kg. The other 40% are 16 cars.....76-16=60.....60 cars weght less than 100kg.

So the answer must be less than 100. The only naswer possible answwre is A.

Regards!

I know this is off topic but likewhoa ..whats the source of these questions ...if u dont mind revealing ..please let me know ..

cris wrote:ok this is s bit difficult to explain because i have not used formulas, just common sense.

Put it this way:as if you are weighting 100 cars. You know that 76 of those cars weight less than 154kg. And you know that 60% of the cars that weight more than 100kg weight more that 154kg....that gives you 24 cars that weight more that 154 kg. The other 40% are 16 cars.....76-16=60.....60 cars weght less than 100kg.

So the answer must be less than 100. The only naswer possible answwre is A.

Regards!

The problem only gives details about 2 scenarios: "less than 154" and "greater than 154". Do we not need some clue about what is the number of items that weigh exactly 154kg.

In other words, we only know 76% weigh less than 154. The rest 24% could weigh exactly 154kg! Therefore the answer could b (a), (b) or (c)

...or am I missing a trick here??

sankruth wrote:

cris wrote:ok this is s bit difficult to explain because i have not used formulas, just common sense.

Put it this way:as if you are weighting 100 cars. You know that 76 of those cars weight less than 154kg. And you know that 60% of the cars that weight more than 100kg weight more that 154kg....that gives you 24 cars that weight more that 154 kg. The other 40% are 16 cars.....76-16=60.....60 cars weght less than 100kg.

So the answer must be less than 100. The only naswer possible answwre is A.

Regards!

The problem only gives details about 2 scenarios: "less than 154" and "greater than 154". Do we not need some clue about what is the number of items that weigh exactly 154kg.

In other words, we only know 76% weigh less than 154. The rest 24% could weigh exactly 154kg! Therefore the answer could b (a), (b) or (c)

...or am I missing a trick here??

Gotcha!...My dim bulb finally lit up

Please ignore my previous post!