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
Physics9328092100
Chemistry4216681100
Average (Aggregate)7277387100

2. 

If at least 60% marks in Physics are required for pursuing higher studies in Physics, how many students will be eligible to pursue higher studies in Physics?

[A]. 27
[B]. 32
[C]. 34
[D]. 41

Answer: Option B

Explanation:

We have 60% of 50 = ( 60 x 50 ) = 30.
100

Therefore Required number

      = No. of students scoring 30 and above marks in Physics

      = 32


Venumadhav said: (Jan 9, 2011)  
Why people of 40 and above are not qualified ?

Znachfrage said: (Mar 2, 2011)  
Ok I got it, the number of 40+ marks is already included in the 30+ marks.

Magesh said: (Mar 27, 2011)  
Thanks @Znachfrage your point helped me in this solution.

Ajay said: (Apr 20, 2011)  
Are student who have got more than 40 marks not to be counted. ?

Priyaa said: (Aug 5, 2011)  
Then I guess students with 20, 10. 0 above must also be counted.

Megha said: (Nov 6, 2011)  
It is never mentioned that the students who have scored 40 and above are to considered in 30 and above. It may best be a inference. The question should be changed to 'least number of students likely o pursue higher studies in Physics'.

Usha said: (Jun 6, 2012)  
@Megha.
There they mentioned indirectly that 30 and above mean that the marks are included from 30 to 50 I think you understood there exists difference between 30-40 and 30 and above.

Raj said: (Aug 19, 2012)  
This is the true example of testing your interpretation on tabular data. The total number of students are 100. Total of number of students given under each marks margin column exceeds 100, this indicates that number of students in each column might or might not include the number of students of previous or next column depending upon the column headings. In short.......the number of 40+ marks is already included in the 30+ marks students

Apurva said: (Sep 23, 2013)  
Answer is correct, because they said at least 60%; if we consider 40 mark column then they have 80%;and if that of 30 column is 60% (at least) ;Hence correct.

Jyothi said: (Oct 29, 2013)  
In the 2nd & 3rd questions for this table how to takes these value.

Soujanya said: (Nov 7, 2013)  
Why we got to take 50?

Madhu Maheshwari said: (Nov 18, 2013)  
We have given marks out of 50 and given at least 60% marks in Physics are required for pursuing higher studies in Physics so 60% of 50 = (60x50/100) = 30.

And No.of students scoring 30 and above marks in Physics are 32 so answer is 32.

Sobana said: (Dec 27, 2013)  
Question is asked that at-least 60% is needed for pursuing higher studies. So only least percentage i.e. 30% should be considered.

Raj said: (Dec 27, 2013)  
These type of questions are come in GRE please tell me. I want score at least 285+ please help me.

Maya said: (Mar 2, 2014)  
Atleast 60% means. 60% and above acc to me. So answer should be 41.

Anshika Jain said: (Apr 9, 2014)  
I think even the person who scored 40 above are to be taken into consideration as the question has not mentioned that even 40+ students are included in 30+ students.

Sandee said: (Apr 20, 2014)  
If we can assume 50 as 100% so our 1st step is 1st calculate the percentage of 50 how much see below it.

50 100
60% ?

We got 30 Answer then see our table we can find 32 come under 30's and above category this is our final answer.

Ashu said: (Jun 28, 2014)  
This question has asked that how many students will be able to pursue higher study in physics. Thus, students who are getting 60% and above it are considered for higher study. So, it has to be 41.

Ankit said: (Aug 1, 2014)  
30 marks and above include 40 marks and above, and we don't know how many of students who got 30 marks and above, also have 40 and above, so we can only find least number of people eligible so, Answer should be 32.

Amruta said: (Aug 22, 2014)  
I am not understand how you take 60% of 50?

Banu said: (Sep 17, 2014)  
@Amruta.

Total mark given is 50.

As we have to calculate percentage, we have to convert it to 100.

Students having at least 60% are eligible for higher studies.

i.e. 60/100=30/50.

i.e. Students who got at least 30 marks in physics are eligible to perform higher studies.

Look at the table for number of students who got 30 and above in physics.

Clearly the answer is 32.

Badavathnaresh said: (Oct 26, 2014)  
Friends please just think what is given main point is that 30 and above means included all the students got marks more than 40 also.

So answer is 100% correct there is no doubt.

Manoj said: (Mar 5, 2015)  
This interpretation fantastic thank you guys for giving important suggestion.

Srikar Reddy said: (Aug 12, 2015)  
First of all I got the doubt that, why 40 and above were not included in the answer but later I came to know by above comments that, they were already included in 30 and above.

So, if that's true then whats the need to add 40 and above column in the table.

Karishma said: (Nov 21, 2015)  
Please explain.

Rushikesh Kedare said: (Nov 29, 2015)  
As minimum qualify marks is 30 so we can take 30 and above as well 40 and above. Why is taken only 30 and above? Please reply.

Rita said: (Jan 6, 2016)  
I am too confused on this question. When all the categories are defined separately 30 and above includes 30 to 39 and 40 and above includes 40 to 50. So, How can anyone say 40 and above students are included in 30 and above Column?

Rahul Namdev said: (Apr 26, 2016)  
It should have been 32 + 9 = 41.

Since it is 30 and above that means even 40 and above students also are supposed to be considered.

30 and above = 32
40 and above = 09
________________
So, total = 41.
________________

Tara said: (Jun 12, 2016)  
I agree with Rahul Namdev.

Kamini Choudhary said: (Jul 4, 2016)  
I also agree with 41.

Because at least meant 60 %. Thats mean we should include also 40 and above. If I'm wrong, please correct me.

Suhass said: (Aug 15, 2016)  
We should have to calculate the number of students who got 40 and above also. Am I right?

Vijay said: (Aug 16, 2016)  
(0 - 9)-8; (10 - 19)-12; (20 - 29)-48 - (30 - 39)-23; (40 - 50)-9.

The question says at least 60%, here 60% mark is 30.

30 and above marks column mentioned 23 + 9 = 32 students.

So the answer must be 'option B'.

Vasu said: (Sep 10, 2016)  
Friends, 32 is correct because look at the chart it is mentioned that "30 and above" i.e. all the students whose marks are between 30 - 50 are already included in it. Had it been 30 - 40 and then 40 - 50 then we should have considered 32 + 9 = 41.

Hope you get it.

Pursing said: (Sep 25, 2016)  
We required only 30 and above so we minus 9 (that is above 40 in physics) from 32 (that is above 30 in physics) we got 23.
Then 23 + 27 = 50. Therefore, 60% of 50 is 30. Above 30, the numbers of students are 32.
So, the answer is 32.

Arnima said: (Dec 20, 2016)  
Can anybody explain to me how we got 32, 60 can come under 40 so why we took 30?

Garima Majoka said: (Jan 16, 2017)  
32 is right answer because it ask at least 30 n above here 30 is also included in 40 and above 30 not included.

Jalak Shukla said: (Jan 18, 2017)  
Friends, 32 is correct answer. It's sum of 40 and 30. See below calculation:

40 and above: 9 - 0 = 9
30 and above: 32 - 9 = 23
20 and above: 80 - 32 = 48
10 and above: 92 - 80 = 12
0 and above: 100 - 92 = 8

Total Student = (9 + 23 + 48 + 12 + 8) = 100 student.

So, 32 is a sum of 40 and 30 (and above) students who got at least 60% marks in Physics.

Sainadh said: (Feb 19, 2017)  
I think it must be 41.

Chandan Kumar Sahni said: (Mar 8, 2017)  
According to me, the right answer will be 41.

Pallav Rai said: (Mar 31, 2017)  
Here 30 and above means 30-50 ie.40 and above data is also included in the 30 and above data.so during calculation if one will include 40 and above data.It means 40 and above data included twice and thus the answer will be wrong.

If the data would have been 30-40 and 40-50 separately then including both the data would have been the correct step.

Prasenjit Sutradhar said: (Apr 15, 2017)  
60% of (total marks)
60% of ?

Then,
60% of 50 marks.
(60/100 * 50),
=30.

That means 30 marks required (60%marks).
Now, see the table and You can see 32 students who have got above 30 in Physics.

Lakshay Dhamija said: (Apr 29, 2017)  
Why 40 and above is considered?

Kalp said: (May 14, 2017)  
I think the Answer is 41. Marks above 40 must be considered.

Prashant Singh said: (May 14, 2017)  
The Correct answer is 32. Because 32 and above means it also included 40 and above. O and 100 include 100 students.

Naveen said: (Aug 12, 2017)  
It may be 32+9=41.

Because at least 60%.

Suresh said: (Oct 21, 2017)  
60% and above means already 30 Marks and above includes 40 and above so answer was correct.

Shital said: (Jan 19, 2018)  
Thanks @Madhu Maheshwari.

Birju said: (Jan 20, 2018)  
But 40 will also be included in cut off 30.

So, the answer will be 32+9=41.

Suja said: (Feb 6, 2018)  
Thank you all for the explanation.

Aditya said: (Jul 12, 2018)  
41 will be the answer.

Birobi said: (Aug 3, 2018)  
(0 - 9)-8; (10 - 19)-12; (20 - 29)-48 - (30 - 39)-23; (40 - 50)-9.
The question says at least 60%, here 60% mark is 30.
30 and above marks column mentioned 23 + 9 = 32 students.

So the answer 'option B'.

Prasanna said: (Sep 23, 2018)  
Thank you for all the explanation.

Abirami said: (Oct 22, 2018)  
I am not understanding this. Can anyone explain it clearly?

Ashwin said: (Mar 13, 2019)  
It clearly states at least 60%. So the answer should be 41.

Sumit said: (May 7, 2019)  
Let me make this simple for everyone.

Total Students : 100.

Let's understand the table from right to left.
For any subject (Chem/Phy).
0 and above : 100 (Includes all students) who scored 0 or more.
10 and above : Includes all students scored 10, 10+ , except previous ones.
20 and above : Includes all students scored 20,20+ except previous ones.
30 and above : Includes all students scored 30,30+ except previous ones.
40 and above : Includes all students scored 40,40+ except previous ones.

Now according to above question;

Students eligible are 32, which includes all the students scored 30,30+

Hence we are not adding another 9 students as they are already included in this column,
It's just they scored more marks than others and listed in leftmost column.

Nuts said: (Oct 17, 2019)  
Can anyone tell me from where 50 came. I am totally new in solving DI.

Tenzin Chophel said: (Sep 2, 2021)  
The answer should come 41.
Since 'atleast 60%' means to include the student who scored more then 30 marks,
Which we have 32 stds. Who scored in thirty and 9 stds who scored in fourth,

So, 32 + 9 = 41.

Note: At least, 30 marks means; (greater than 30), which is inclusive of all students who scored from 30 to 50.

Namgay Choden said: (Sep 2, 2021)  
Yes, the answer should be 41.

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