Aptitude - Average - Discussion

Discussion Forum : Average - Data Sufficiency 2 (Q.No. 1)
Directions to Solve

Each of the questions given below consists of a question followed by three statements. You have to study the question and the statements and decide which of the statement(s) is/are necessary to answer the question.


1.

How many marks did Tarun secure in English?

I. 

The average mark obtained by Tarun in four subjects including English is 60.

 II. 

The total marks obtained by him in English and Mathematics together are 170.

 III. 

The total marks obtained by him in Mathematics and Science together are 180.

I and II only
II and III only
I and III only
All I, II and III
None of these
Answer: Option
Explanation:

I gives, total marks in 4 subjects = (60 x 4) = 240.

II gives, E + M = 170

III gives, M + S = 180.

Thus, none of (A), (B), (C), (D) is true.

Correct answer is (E).

Discussion:
17 comments Page 1 of 2.

Lokesh said:   1 year ago
Maths = 111
Science = 69
English = 59
And other subject = 1.

So, the total is 240 and the average is 60.
Then, All conditions are satisfied. Hence the correct answer is option D.
(1)

Som said:   3 years ago
Option D should be the correct answer.
(1)

Rohini said:   5 years ago
@Anant

At last, in substitution in (1) equation.

M is not (E+10),
S is (E+10) so your answer may be wrong.
And option E is right.

Susmitha said:   6 years ago
@All.

Here, They are just asking English marks. While 1 and 2 are definitely giving the marks of English. My answer is both 1 and 2 are right. Those statements give marks of English clearly.

Bhavya said:   7 years ago
Answer should be the option : D, right.
(3)

Ankur said:   8 years ago
Also M+E= 180 so M is 150.
But S+M= 170 S= 40
Here M= 130.

Ankur said:   8 years ago
@Anant.

According to the question he got 60% (avg. Of 4 sujects).

It means each subject carrying 100 marks but as per your solution, he got 150 marks in maths.

Bala said:   8 years ago
@Anant.

So the answer is all three?

Anant said:   8 years ago
We can obtain marks in English by this,

Marks in 4 subjects.
(E+M+S+X)/4=60.
E+M+S+X=240.

And
E+M=170 ---eqn1.
M+S=180----eqn2.
eqn2-eqn1 we get;
S-E=10,
S=10+E.

now substitute in here
E+(10+E)+170=240.
2E=60,
E=30.
(5)

Meet shah said:   9 years ago
Why 1 and 2 not an answer here it's only saying about English then why is it so?
(1)


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