EXERCISE 6 B (DATA SUFFICIENCY TYPE QUESTIONS IN 11 14 SOLUTION)

Directions (Questions 11 to 13): 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 statements is / are necessary to answer the question.

11.       How many marks did Tarun secure in English?

i.                     The average marks obtained byTarun in four subjects including English is 60.

ii.                   The total marks obtained by him in English and Mathematic together is 170.

iii.                  The total marks obtained by him in mathematics and Science together is 180.

a)      I and II only

b)      II and III only

c)       I and III only

d)      AII I, II and III

e)      None of these

12.       The mean temperature of Monday to Wednesday was 37˚c and of Tuesday to Thursday was 34˚C. what was the temperature on Thursday?

a)      I and II only

b)      II and III only

c)       Either I or II

d)      Either I, II or III

e)      Any two of the three

13.       In a cricket eleven, the average age of eleven players is 28 years. What is the age of the captain?

I.                    The captain is eleven years older than the youngest player

II.                  The average age of 10 players, other than the captain is 27.3 years.

III.                Leaving aside the captain and the youngest player, the average ages of three groups of three players each are 25 years, 28 years and30 years respectively.

a)      Any two of three

b)      AII I , II and III

c)       II only or I and III only

d)      II and III only

e)      None of these

Directions (question 14): the given question is followed three statements labeled I, II and III. You have to study the question and all the three statements given to decide whether any information provided in the statement () is /are redundant and can be dispensed with while answering the given question.

14.       What is the average salary of 15 employees?

I.                    Average salary of 7clerical cadre (out of the 15 employees) is Rs. 8500.

II.                  Average salary of 5 officer cadre (out of the 15 employees) is Rs. 10000.

III.                Average salary of the 3 sub-staff employees (out of the 15 employees) is Rs.2500.

a)      None

b)      Only I

c)       Only II

d)      Only III

e)      Question cannot be answered even with information in all the three statements.

ANSWERS 

11.E

12.C

13.C

14..A

SOLUTION 

11.       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)

12.       M + T + W = (37 x 3)  M+T +  = 111 ……….(I)

          T + W + Th = (34 x 3)   T + W + th = 102 ………….(II)

          I gives, Th = 4/5 M     M = 5/4 Th

           Using it in (I), we get.

5/4 Th + T + W = 111.  ……………………(III)

On subtracting (II) from (III), we get: 1/4^Th = 9   Th = 36.

Thus, I alone give the answer.

II gives, M + Th = (40.5 x 2)    M +Th + 81   …..(IV)

On subtracting (II) from (I), we get M – Th = 9…….(V)

From (IV) and (V), we get Th = 36.

Thus, II alone gives the answer.

III gives, M – Th = 9.

Clearly, III with given results, does not give the answer.

Correct answer is (c).

13.       Total age of 11 players = (28 x 11) years = 308 years

      I. c = Y + 11    C – Y = 11

    II. Total age of 10 players 9excluding captain) = 27.3 x 10 ) years = 273 eyars,

    Age of captain = (308 – 273) years= 35 years.

    Thus, C = 35.

     From (I) and (II), we get Y = 24.

(III)             Total age o 9 players = [{25 x 3 ) + (28 x 3 ) + ( 30 x 3 )] years = 249 years.

  C + Y = (308 -24) = 59.

 From (I) and (III), we get C = 35.

 Thus, II alone gives the answer.

 Also, I and III together give the answer.

 Correct answer is (c).

14.       I.    gives, total salary of 7 clerks = Rs. (8500 x 7) = Rs. 59500.

     I.                    Gives, total salary of 5 officers = Rs. (10000 x 5) = Rs. 50000.

    II.                  Gives, total salary of 3sub – staff members = Rs.(2500 x 3) = Rs. 7500.

Total salary of 15 employees = Rs. (59500 + 50000 + 7500) = Rs. 117000.

Average salary = RS. (11700/ 15) = Rs. 7800.

All given statements are needed. Hence, none is redundant.

Correct answer is (a).