EXERCISE 6 B (DATA SUFFICIENCY TYPE QUESTIONS IN 1 5 SOLUTION)

EXERCISE 6 B

(DATA SUFFICIENCY TYPE QUESTIONS)

Directions (questions 1 to 10): each of the questions given below consists of a statement and. or a question and two statements numbered 1 and II given below it. You have to decide whether the data provided in the statement (s) is /are sufficient to answer the given question. Read both the statements and

Given answer (a) if the data in Statement I alone are sufficient to answer the question, while the data in Statement II alone are not sufficient to answer the question;

Give answer (b) if the data in Statement II alone are sufficient to answer the question, while the data in Statement I alone are not sufficient to answer the question;

Give answer (C) if the data either in statement I or in Statement II alone are sufficient to answer the question;

Give answer (d) if the data even in both Statements I and II together are not sufficient to answer the question;

Given answer (e) if the data in both statements I and II together are necessary to answer the question.

1.      The total of the present ages of A, B, C and d is 96 years. What is B’s present age?

I.                    The average age of A, B and D is 20 years.

II.                 The average age of C and D is 25 years.

2.      What is the average age of children in the class?

I.                    Age of the teacher is as many years as the number of children.

II.                 Average age increased by 1 year as the number of children.

3.      What is the average weight of the three new team members who are recently included in the team?

I.                    The average weight of team increases by 20 kg.

II.                 The three new men substitute earlier members whose weights are 64 kg, 75 kg and 66 kg.

4.      The average age of P,Q, R and S  is 30 years. How   old is R?

I.                    The sum of ages of P and R is 60 years.

II.                 S is 10 years younger than R.

5.      How old will C be after 10 years?

a)      Five years ago, the average age of A and B was 15 years.

b)      Average age of A, B and C today is 20 years.

ANSWRS

1.D

2.D

3.D

4.D

5.E

SOLUTION

1.      A + B + C + D =96

I gives, A + B + D = (3 x 20) A + B + D = 60

II gives, C + D = (2 x 50)     C + D= 100

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

Correct answer is (d)

2.      Let there be x children.

I gives, age of teacher =  x years.

II gives, average age of (X + 1) (X + 1) - X² = (X² + 1 + 2x ) - X²= (1 + 2x)

Thus, teacher’s age cannot be obtained.

Correct answer is (d).

3.      Let the number of team members be n.

I.                    Total increase in weight on replacement = (20n) kg.

II.                 Total weight of new members = [(64 + 75 + 66) + 20n] kg

= (205 + 20n) kg.

Required average = (205 + 20n) / 3 kg and we need n to get the answer.

Correct answer is (d).

4.      P + Q + R + S =( 30 x 4  P + Q + R + S= 120

I.                    P + R

II.                 S = (R – 10)

From (I0, (II) and (III), we cannot find R.

Correct answer is (d).

5.      I.  A + B =(15 x 2) + (5 x 2)        A + B = 40

II.A + B + C = (20 x 3)    A + B + C =60

From (I) and (II), we get C = 20.

C’s age after 10 years = (20 + 10) years = 30 years.

Correct answer is €.