Data Interpretation - Table Charts - Discussion

Study the following table and answer the questions.

Classification of 100 Students Based on the Marks Obtained by them in Physics and Chemistry in an Examination.

Subject Marks out of 50
40 and above 30 and above 20 and above 10 and above 0 and above
Average (Aggregate)7277387100


If it is known that at least 23 students were eligible for a Symposium on Chemistry, then the minimum qualifying marks in Chemistry for eligibility to Symposium would lie in the range?

[A]. 40-45
[B]. 30-40
[C]. 20-30
[D]. Below 20

Answer: Option C


Since 66 students get 20 and above marks in Chemistry and out of these 21 students get 30 and above marks, therefore to select top 35 students in Chemistry, the qualifying marks should lie in the range 20-30.

Sowmya said: (Sep 5, 2010)  
As 66 students have got above 20. How can we select only 30 and above students are eligible. No where it is mentioned.

Premsai said: (Dec 9, 2010)  
I think 30-40 is the answer, can any one suggest me the right ans.

Spv said: (Dec 19, 2010)  
Can anyone explain breifly?

Jack said: (Feb 4, 2011)  
Correct answer is between 30-40 because there are 25 student in the range. In question it requires only 23 student.

Abhishek said: (Jun 16, 2011)  
It just mentioned 23 required, but which range is not mentioned. So, many ways we can get!

Vishal Verma said: (Sep 14, 2011)  

Above 20 there are 66 people
Above 30 there are 21 people

So people between 20-30 would be 66-21 = 45 people

Option C is correct , no doubt in that.

Mohit Gupta said: (Dec 16, 2011)  
Answer why it is 20-30 because if u see the difference you can't get anyone difference(0-20,30-40,40-50)that have atleast 23 students are in the range 20-30.

See it thoroughly

Dina said: (Sep 29, 2012)  
Exactly at least 23 students are in the range 20-30,

Because. Range 40& above has = 4 students.

Range 30 & above has = 21-4= 17 students.

30-40 range has 21 students & the required is more than that its 23 students, that's why it has 2b the 20-30 range where more students can b eligible (minimum qualifying marks).

No.of the 4 students in range (40 & above) is included in the 21 students in the (30 & above range).

Santhosh said: (Dec 24, 2012)  
Option c is correct because the 21 students above 30 also includes 4 students who are above 40. So the total is 21 how can we get 23 so we have to go for above 20 marks where 66 includes this 21 and 4 students in the upper range.

Kevin said: (Dec 30, 2013)  
Please any one give brief explanation regarding this question.

Alok Kumar Mishra said: (Jan 6, 2014)  
Between 0-10 there are 100-81 = 19 students.
Between 10-20 there are 81-66 = 15 students.
Between 20-30 there are 66-21 = 45 students.
Between 30-40 there are 21-4 = 17 students.

So the 23 students lies in between 20-30.

Sandip Verma said: (Apr 22, 2014)  
@Alok is correct.

Please read the question "at least 23 students were eligible".

And in calculation of Alok, 23 can only be fit in 20-30 band.

So answer is C which is 20-30.

Goutham said: (May 9, 2014)  
Below 20, there are 100-66 = 34.
Why the answer is C, why can't it be D.

Even 23 can also be fitted in below 20.

Since they have not given any passing criteria as a condition.
Please rectify me if I am wrong.

Ankit said: (Aug 1, 2014)  
Any test will take top 23 and above,

@Goutham below 20 yes we have 34 students but why any test will try to select low marks student then those who got higher marks.

Now in range 30-40 we have only 21 students and acc to question at least 23 are eligible so 20-30 having 45 students who are better than 34 students in range 0-20 is taken as right answer.

Vijay Krishna said: (Aug 8, 2014)  
Below 20, there are 100-66 = 34.
Why the answer is C, why can't it be D.

Even 23 can also be fitted in below 20.

Since they have not given any passing criteria as a condition.
Please rectify me if I am wrong.

Gautam Vermani said: (Nov 22, 2014)  
0-10 19.
10-20 15.
20-30 45.
30-40 17.
40-50 4.

So if we take 30-40 as range there will be 21 students, but the required is 23 or more.

So we need to include 20-30 as cut off.

Jay said: (Dec 22, 2014)  
As minimum 23 is required but in case of 30 and above its just 21 but we need minimum value to be 23. So we go 20 to 30 range, as per my understanding.

Vinu Prasad said: (May 22, 2015)  
@Vijay krishna,

You are right. Since the question does not mention any passing criteria the answer can be both C and D.

On a second thought, I think option D fits the most as they have asked for the minimum qualifying range. In the question, only minimum number of students is mentioned i.e 23. Maximum can be anything since the min pass criteria is not mentioned i.e 10, 20 or anything else.

Ashwin said: (Jun 1, 2015)  
Common Sense: Here they asked atleast (enough) 23 students.

Generally, We suppose to choose students who scored maximum marks. So, therefore 40 and above = 4 & 30 and above = 21.

And Hence, 21+4 = 25 the mid range. Option C is correct answer.

Ams02 said: (Oct 5, 2015)  
Answer should be (D) as they have asked for minimum eligibility range, and question doesn't mention anything about explicitly about passing criteria so we should not assume any extra information.

Venki said: (Mar 30, 2016)  
Can you explain briefly, please?

Vivek said: (Jul 16, 2016)  
Gap between 66 and 21= 45>23. So c is right.

Prabir Nag said: (Sep 2, 2016)  
I can't understand the answer. Please explain me.

Gray said: (Jul 7, 2017)  
But, below 20 too there are 34 students out of which 23 can be selected.

Gray said: (Jul 7, 2017)  
But below 20 category also has 34 students. It can also be the answer.

Mainak Mukherjee said: (Dec 29, 2017)  
Yes, your are right @Alok Kumar Mishra.

Sankardev said: (Jun 11, 2018)  
Excellent explanation, Thanks @Dina.

Sravani said: (Sep 3, 2018)  
I can't understand that question. Can anyone explain me?

Priyu said: (Dec 17, 2018)  
40% = 40/100 * 50 = 20.

Less than 40 means 73,
So, 100 -73 = 27.

Priyanka said: (Apr 5, 2019)  
I cannot understand. Please explain.

Sagar said: (Apr 30, 2019)  

They asked the range in which the Qualifying Marks lie which qualifies 23 students for Symposium. 30 & above has 21 students which means, if 30 was qualifying marks for symposium then only 21 students would be eligible. But the number of students eligible is 23.20 & above has 66 students which means, somewhere in 20-30 range lies our Qualifying Marks which makes 23 students eligible for the Symposium. No one knows the exact marks, it could be anywhere between 20-30.

Hope this clears your doubts.

Aaradhya said: (Jul 18, 2020)  
@ Sagar.

You are right.

23 students will lie in between 20-30.

Goms said: (Apr 29, 2021)  

Guys all of you must listen carefully in the question that is they are asking "minimum qualifying marks" to select "at least 23 students". So we must go from the lowest marks.

Below 20 is 100-87=19<23.
10 to 20 is not an option so neglect that.
20 to 30 is 66-21=45>23.
So the answer is the 20-30 range.

I hope you all clear.

Gagan said: (Jul 23, 2021)  

We have to select 23 students (eligible students). So for that 21, we can select from 30 and above range and for selecting 2 more students we need to select 2 students from 20-30 range.

So 20-30 range is the correct option.

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