Data Interpretation - Table Charts - Discussion

Discussion Forum : Table Charts - Table Chart 4 (Q.No. 5)
Directions to Solve

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


5.
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?
40-45
30-40
20-30
Below 20
Answer: Option
Explanation:

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.

Discussion:
38 comments Page 1 of 4.

Sagar said:   6 years ago
@All.

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.
(6)

Ediomo Bright said:   2 years ago
@All

If at least 23 students are to be selected, at most all the students (all 100 of them) can be selected. Use this logic: I ask you to buy me at least three bananas. You get to the store and see ten of them. Buying all ten of them is not wrong, is it? Hence, my request is still fulfilled.

Now, for all 100 students to be selected, their marks must all fall between the 0 and Above category. Therefore, the lowest mark or the minimum cut-off mark for selection must lie within the 0–10 range.

Dina said:   1 decade ago
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).

Vinu Prasad said:   1 decade ago
@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.

Ankit said:   1 decade ago
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.

Goms said:   4 years ago
@All.

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.
(15)

Vishal Jain said:   4 years ago
In 21, 4 also includes which mean a student who obtained marks greater than 30-40 are 17 but above 30 it is 21 means in 21 4 students are above 40 or equal to 4.
So, 21 students select from 30-40 range and rest of 2 students are selected from 20 -30 range.
(6)

ASHWIN said:   1 decade ago
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.

Luis said:   2 years ago
I am not understanding this.
If they say "AT LEAST" 23 students were eligible, that means that it could have been 23 but it might as well have been 100 eligible students.
So, in that sense, the minimum required grade is 0 out of 50 no?
(4)

Gagan said:   4 years ago
@Everyone.

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.
(9)


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