All questions of Data Interpretation and Data Sufficiency for Civil Engineering (CE) Exam

 (Q.no: 16-20). Refer to the following table and answer the given questions.
If the number of male post graduate employees in company W is 1488, what percent of the female employees in that particular company are post graduate?
  • a)
    75%
  • b)
     100%
  • c)
    74%
  • d)
    73%
  • e)
    72%
Correct answer is option 'B'. Can you explain this answer?

Preeti Khanna answered
Number of Females in Company W = 3360 *(5/14) = 1200
Number of Post graduate employees in Company W = 3360 *(80/100) = 2688
Number of female post graduate employees in Company W = 2688 – 1488 = 1200
Required Percentage = (1200 * 100)/1200 = 100%

Study the following graph carefully and answer the following questions given below.
What is the difference between the average amount invested in Savings schemes A, B, D and E by Vikram and the average amount invested in Savings schemes B, C, E and F by Deepa?
  • a)
    2540
  • b)
    2760
  • c)
    2560
  • d)
    2320
  • e)
    2380
Correct answer is option 'E'. Can you explain this answer?

Preeti Khanna answered
Average amount invested in schemes A, B, D and E by Vikram = (43680 + 43200 + 18000 + 25600)/4 = 90240/4 = 32620
Average amount invested in schemes B, C, E and F by Deepa = (28800 + 19200 + 38400 + 34560)/4 = 119680/4 = 30240
Difference = 32620 – 30240 = 2380

Study the following graph carefully to answer the given questions
Q and S work together for 5 days, the rest of the work is finished by M in two more days. If they get Rs. 6000 as wages for the whole work, what are the daily wages of Q, S and M respectively?
  • a)
    200, 250, 300
  • b)
    300, 200, 250
  • c)
    600, 400, 200
  • d)
    600, 400, 500
  • e)
    None of these
Correct answer is option 'D'. Can you explain this answer?

Preeti Khanna answered
Explanation:
Q’s 5 days work = 50%
S’s 5 days work = 33.33%
M’s 2 days work = 16.66% [100- (50+33.33)] Ratio of work of Q, S and M = 3: 2: 1
Q’s total share = Rs. 3000
S’s total share = Rs. 2000
M’s total share = Rs. 1000
Q’s one day’s wage = Rs.600
S’s one day’s wage = Rs.400
M’s one day’s wage = Rs.500

Among the four friends A, B, C and D, who works for the most hours(each works for different no of hours ? I.A works less than B, D works less than both A and C
II.C works less than B but more than D, A works more than C but not the most.
  • a)
    If the data in statement I alone are sufficient
  • b)
    If the data in statement II alone are sufficient
  • c)
    If the data either in statement I alone or statement II alone are sufficient to answer
  • d)
    If the data given in both I and II together are not sufficient
  • e)
    If the data in both the statements I and II together are necessary to answer
Correct answer is option 'B'. Can you explain this answer?

Aarav Sharma answered
Given:

- A works less than B
- D works less than both A and C
- C works less than B but more than D
- A works more than C but not the most

To find:

- Who works for the most hours?

Solution:

From statement I, we only know that A works less than B. We cannot compare any of the other friends' working hours with this information alone. Hence, statement I alone is not sufficient.

From statement II, we know that C works less than B but more than D. This means that the order of working hours for these three friends is D < c="">< b.="" however,="" we="" cannot="" compare="" the="" working="" hours="" of="" a="" with="" any="" of="" these="" friends="" with="" this="" information="" alone.="" hence,="" statement="" ii="" alone="" is="" not="">

Combining both statements, we know:

- A works less than B
- D works less than both A and C
- C works less than B but more than D
- A works more than C but not the most

From statement II, we know that C works less than B, and from statement I, we know that A works less than B. This means that the order of working hours for these three friends is A < c="">< b.="" also,="" from="" statement="" ii,="" we="" know="" that="" d="" works="" less="" than="" both="" a="" and="" c.="" thus,="" the="" order="" of="" working="" hours="" for="" these="" four="" friends="">

- D < a="">< c=""><>

Therefore, B works for the most hours.

Hence, the data in statement II alone is sufficient to answer the question.

Answer: (B) If the data in statement II alone is sufficient.

(Q.no: 15-20). Refer to the table and answer the given questions.
Total Population in Five Cities = 15,00,000
One – fourth of total population of City R is 2,20,000.  If the total number of Literate graduates of City Q and S are 22,500 and 52,000. What % of the total population of City Q, R and S together is literate?
  • a)
    28.6%
  • b)
    37.9%
  • c)
     50.6%
  • d)
    25.6%
  • e)
     45.6%
Correct answer is option 'B'. Can you explain this answer?

Rajeev Kumar answered
1/4 * R = 2,20,000 => R = 8,80,000
Literate population of City R = 7/11 * 8,80,000 = 5,60,000
Total number of Literate graduates of City Q = 22500 = 45%
x = Literate population of City Q
45% of x = 22500 => x = 50000
Total number of Literate graduates of City S = 52000 = 65%
y = Literate population of City S
65% of y = 52000 => x = 80000
% = (690000/1820000) * 100 = 37.9%

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