EXERCISE 6 B (DATA SUFFICIENCY TYPE QUESTIONS IN 6 10 SOLUTION)

      6.       How many children are there in the group?

I.                    Average age of the children in this group is 15 years. The total age of all the children in this group is 240 years.

II.                  The total age of all the children in the group and the teacher is 264 years. The age of the teacher is 9 years more than the average age of the children.

7.       Deepak’s marks in Hindi are 15 more than the average marks obtained by him in Hindi, Economics, sociology and Philosophy. What are hit makes in Philosophy?

I.                    The total marks obtained by him in Hindi and Philosophy together is120.

II.                  The difference between the marks obtained by him in sociology and Economics is 120.

8.       How many candidates were interviewed everyday by the panel A out of the three panels A, B  and C?

I.                    The three panels on an average interview 15 candidates every day. ]out of a total of 45 candidates interviewed everyday by the three panels, the number of candidates interviewed by panel A is more by 2 than the candidates interviewed by panel C and is more by 1 than the candidates interviewed by panel B.

9.       The average age of teacher and students in a class is 3 years more than the average age of students. What is the are of the class teacher?

I.                    There are 11 students in the class.

II.                  The average age of teacher and students is 14 years.

10.       What will be the average weight of the remaining class?

i.                     Average weight of 30 children out of total 46 in the class is 22.5 kg and that of the remaining children is 29.125kg. A child having weight more than 40 kg. A child weighing 46 km is dropped out.

ii.                    Average weight of a class of 46 children is 23.5 kg. A child weighing 46 kg is dropped out. 

ANSWERS :

6.A

7.D

8.B

9.E

10.B

SOLUTION 

 1.       Let there be X children in the group.

I.                    Average age = 15 years.

Total age = 15X years.

15X = 240  X = 240 / 15   X = 16.

So, there are 16 children in the group.

II.                  Total age of X children and 1 teacher is 264 years.

Age of teacher = (15 + 9) years = 24 years. Total age of X children = (264 – 24) years = 240 years.

This does not give the answer.

Correct answer is (a).

2.       H = (H + E + S + P) / 4 + 15

            4 (H – 15) = H  + E + S + P    3 H – 60 = E + S + P …(I)

 I.                    H + P =120

II.                  II. S – E = 120

    From (I), (II), and (III), we cannot find P.

     Correct answer is (d).

3.       I. total candidates interviewed by 3 panels = (15 x 3) = 45.

       II. Let X candidates be interviewed by /c.

              Number of candidates interviewed by A = (X + 1).

             Number of candidates interviewed by B = (X + 1)

              X + (X + 2) + (X + 1) =45   3X = 43   X = 14.

             So, the number of candidates interviewed by A is 14.

             Hence, the correct answer is (b).

4.       Average age of 11 students and 1 teacher = 14 years.

              Total age of (11 students an 1 teacher) = (14 x 12) years – 168 years.

         Average age of (11 students and 1 teacher) = (average age of 11 students ) + 3

          Average age of 11 students = (14 – 3 ) years = 11 years.

        Total age of 11 students = (11 x 11  years = 121 years.

        Thus, both I and II are needed to get the answer.

        Correct answer is (e)  

5.       I total weight of 46 children = [(22.5 x 30) + (29.125 x 16)] kg = 1141 kg.

            Weight excluded is not exact. So, average of remaining class cannot be obtained.

III.                total weight of 45 children = [(23.5 x 46) – 46] kg =1035 kg.

             Average eight of 45 children = 1035 / 45 kg = 23 kg.

Data in I is sufficient to answer the question while the data in I is not sufficient.

Correct answer is (b)