Platelets are the cells that circulate within blood and bind together

Question

Platelets are the cells that circulate within blood and bind together when they recognize damaged blood vessels. Thrombocytosis is a condition in which the platelets count exceeds a certain number, measured in the nearest 1000, per microliter of blood. A clinic has exactly 9 patients, exactly 5 of whom suffer from thrombocytosis. The platelet counts of the 9 patients are as follows.

27439, 33181, 37033, 39111, 42159, 42365, 44322, 45271, 46213

Select the Least and Greatest possible values for the platelets count, measured in the nearest 1000, above which thrombocytosis is considered to exist. Make only two selections, one in each column.

sayan640 · Answer

This one is simple..
Just try with options..
39 cant be the least. More than 5 values are greater than 5 . We need exactly 5 .
Next number is 40.
We got 42 ,42 , 44 , 45 and 46 which are greater than 40 . Hence exactly 5 are greater than 40. 
40 is the least.

For the greatest , start with the biggest number i.e 44. We dont see exactly 5 numbers greater than 44.
42 works and is our answer as the greatest possible.

EnglishAgast · Answer

Hello, why cannot we have 41k as the least count? Above 41k we have 42k, 42k, 44k, 45k and 46k.

ishaniarora · Answer

IMO, because we are asked LEAST. When 40k is an acceptable 'least' answer, we won't consider 41k

EnglishAgast · Answer

Got it, thank you!

vidushibagry · Answer

if we are rounding off to the nearest 1000, 39111 will round off to 39000 and hence if 39000 is the least value, 39111 or ~39000 wont be considered right?

cheshire · Answer

we want the maximum number that has exactly 5 patients greater than it. We want the smallest number that has exactly 5 patients greater than it. You don't round the patient samples, it's just a clarifying point as to why the answer choices are every 1000.

sanyasanha · Answer

How did you reach at the greatest 42? I am not able to understand.

svsivakrishna · Answer

Hi,

We are given that  exactly 9 patients, exactly 5 of whom suffer from thrombocytosis.  
 and the platelet counts of the 9 patients are as follows.

27439, 33181, 37033, 39111,  42159, 42365, 44322, 45271, 46213

Observe the last 5 values, 
 for maximum value of thrombocytosis as 42000, still we will have 5 values above 42000, which satisfies the given condition.

Hope this helps

svsivakrishna · Answer

Hi,

We are given that exactly 9 patients, exactly 5 of whom suffer from thrombocytosis. 
 and the platelet counts of the 9 patients are as follows.

27439, 33181, 37033, 39111,  42159, 42365, 44322, 45271, 46213

if we select the value as 39000, then we will have 6 patients with thrombocytosis, which does not satisfy the given condition that only 5 patients suffer from thrombocytosis. Hence, we have to select the next nearest thousand that is 40,000.

Hope this helps

sambhavrastogi · Answer

how it can be 39000 can you please explain

svsivakrishna · Answer

It is not 39000,

please refer to my earlier explanations, the values are 40000 and 42000 respectively.

alexdprince74 · Answer

Why could the least not be 39,000? The threshold for thrombocytosis could be 39,400 for example. 39,400 rounds down to 39,000 and since the question asks for 'possible' values, surely 39,400 could be the threshold? Thus giving the least possible value of 39,000

cheshire · Answer

You have to round up in this instance because the answer choices are asking for no lower than the minimum. For example, if you need 4.1 buckets of paint to decorate your walls, you would need to buy 5, even though 4.1 rounds down to 4.

svsivakrishna · Answer

If we select the least as 39000, then we will have 6 patients with thrombocytosis which contradicts the given information. (Given that only 5 out of 9 suffer from thrombocytosis)

eiusconsectetur · Answer

why cant 46 be greatest?

Bunuel · Answer

Because the cutoff must make  exactly 5 patients  count as having thrombocytosis.

If you set the cutoff at 46,000, only  1 patient (46213)  is ≥ 46,000, not 5. So 46,000 cannot be the greatest threshold.

Platelets are the cells that circulate within blood and bind together

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Platelets are the cells that circulate within blood and bind together

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615 to 715 in 15 Days (Ria's Strategies)

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