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

1. 

What is the different between the number of students passed with 30 as cut-off marks in Chemistry and those passed with 30 as cut-off marks in aggregate?

[A]. 3
[B]. 4
[C]. 5
[D]. 6

Answer: Option D

Explanation:

Required difference

    = (No. of students scoring 30 and above marks in Chemistry)

       - (Number of students scoring 30 and above marks in aggregate)

    = 27 - 21

    = 6.


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

Priya said: (Jul 26, 2011)  
30 as cut-off means minimum should be 30.

As we have values directly.

Calculate it.

Gurvinder said: (Aug 19, 2011)  
If cut off is 30, it means marks with 40 and above 40 are also be added.

Jigyasu said: (Apr 23, 2013)  
No.of students scoring 30 and above marks in Chemistry = 27 how?

Number of students scoring 30 and above marks in aggregate = 21 how?

Namit said: (Aug 30, 2013)  
No.of student above 30 are 21.

No.of student scoring 30 and above is 27.

So difference is 27-21 = 6.

Prakash said: (Sep 12, 2013)  
But if a guy got marks above 40 means obviously he got above 30.

So, No.of students above 30 = above 30+above 40 = 21+4 = 25;

No.of students above 30 in aggregate = above 30+above 40 = 27+7 = 34;

==> 34-25=9, So 9 is right answer.

Sabbir said: (Nov 23, 2013)  
May be it should have been 9. Right? the students who got 40 and above should have been counted.

Rajesh said: (Feb 11, 2014)  
No, 30 and above means (30-50) marks. So (40-50) are also included in the (30-50). 6 is the right answer.

Prashant said: (Apr 20, 2014)  
30 and above average aggregate (chem and physics is 27).

We want difference in chemistry only which is 21.

So 27-21 is 6.

Anil Kumar said: (Apr 24, 2014)  
Good @Prashant I got it finally.

Sunil said: (Sep 7, 2014)  
Can anyone solve the in simple manner.

Badavath Naresh said: (Oct 26, 2014)  
@Rajesh.

You are correct and the given answer also correct because in the question given that 30 and above means the number of student get 40 and above also included in 30 and above.

And observe that the number of students values goes to decrease in the order (0 and above), (10-and above), (20-and above).

So the number of student obtained 30 and above aggregate marks is 27 and number of students obtained marks 30 and above are 21 in chemistry.

The difference is 27-21 = 6.

Vaishu said: (Nov 23, 2018)  
@Prakash.

9 is the correct answer.

Mounika said: (Dec 24, 2018)  
Thanks all for the clear explanation.

Lucie said: (Feb 3, 2019)  
6 is the correct answer. Because 30 above means included 40 to 50. So we don't need re-added 40 above.

Neeraj Kr. Singh said: (Mar 6, 2019)  
9 should be the right answer.

It is said about 30 as cut off so above this all will be added.

Ashwin said: (Mar 13, 2019)  
Yes, 9 is the correct answer. I too agree.

Jahnavi said: (Apr 29, 2020)  
I didn't understand the solution. Please explain it in detail.

Jaspreet said: (Jun 11, 2020)  
6 is the right answer because the students scoring higher marks are included in 21 and 27. If they hadn't been included the total would have been 100 after adding the students of all the categories.

Tenzin Phuntsho said: (Jul 13, 2022)  
If cut-off point is above 30.

Why only taken as above 30. And why not above 40 is also added?

Anyone, please explain.

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