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 Number of Girls in School A and Number of Girls in School B?
  • a)
    100
  • b)
    101
  • c)
    102
  • d)
    103
  • e)
    None
Correct answer is option 'C'. Can you explain this answer?

Alok Verma answered
Difference between Number of Girls in School A and Number of Girls in School B

- Number of Girls in School A: (10035 - 373)/2 = 4831
- Number of Girls in School B: (10098 - 640)/2 =  4729
- Difference = 4831 - 4729= 102

Therefore, the difference between the number of girls in School A and School B is 102. So, the correct answer is C: 102.

How many children does Anuradha have?
I. Preeti is the only sister of Ravi who is grandson of Bhuvan. Anuradha is daughter-inlaw of Madhu and sister-in-law of Radhika.
II. Manish is married to Anuradha and is son of Bhuvan. Ritu, sister of Anuradha is married to Suraj. Ravi is the only brother of Preeti.
  • a)
    If the data in statement I alone is sufficient to answer the question.
  • b)
    If the data in statement II alone is sufficient to answer the question.
  • c)
    If the data either in statement I alone or statement II alone are sufficient to answer the question.
  • d)
    If the data given in both I and II together are not sufficient to answer the question.
  • e)
    If the data in both the statements I and II together are necessary to answer the question.
Correct answer is option 'D'. Can you explain this answer?

Statement I:
Preeti is the only sister of Ravi who is the grandson of Bhuvan. Anuradha is the daughter-in-law of Madhu and sister-in-law of Radhika.

Statement II:
Manish is married to Anuradha and is the son of Bhuvan. Ritu, sister of Anuradha, is married to Suraj. Ravi is the only brother of Preeti.

To determine the number of children Anuradha has, we need to analyze the given statements.

Statement I:
From this statement, we can establish the following connections:
- Preeti is the sister of Ravi.
- Ravi is the grandson of Bhuvan.
- Anuradha is the daughter-in-law of Madhu.
- Anuradha is the sister-in-law of Radhika.

However, this statement does not provide any direct information about the number of children Anuradha has. It only establishes her relationships with other individuals.

Statement II:
From this statement, we can establish the following connections:
- Manish is married to Anuradha.
- Manish is the son of Bhuvan.
- Ritu is the sister of Anuradha.
- Ritu is married to Suraj.
- Ravi is the only brother of Preeti.

Similar to statement I, this statement also does not provide any direct information about the number of children Anuradha has. It only establishes her relationships with other individuals.

Combined Statements:
When we consider the information from both statements together, we can establish the following connections:
- Anuradha is married to Manish.
- Manish is the son of Bhuvan.
- Preeti is the sister of Ravi.
- Ravi is the grandson of Bhuvan.
- Ritu is the sister of Anuradha.
- Ritu is married to Suraj.

Although we have established multiple connections, none of them directly provide information about the number of children Anuradha has.

Therefore, the data given in both statements I and II together are not sufficient to answer the question of how many children Anuradha has. Hence, the correct answer is option D.

How many students are there between Bunty and Anuj in a row of sixty students?
1) Raj is twentieth from the left end and Bunty is five places away from Raj.
2) Bunty is twenty-second from the left end and Anuj is twenty-seventh from the right end.
3) Anuj sits at an end
  • a)
    Only 1
  • b)
    Only 2
  • c)
    Only 3
  • d)
    Only 1 and 2
  • e)
    none of these
Correct answer is option 'B'. Can you explain this answer?

Statement 1:
1) Raj is twentieth from the left end and Bunty is five places away from Raj.
- From this statement, we can determine the position of Bunty in the row.
- Bunty is 15th from the left end (20th - 5).
- However, we cannot determine the position of Anuj from this statement.

Statement 2:
2) Bunty is twenty-second from the left end and Anuj is twenty-seventh from the right end.
- From this statement, we can determine the positions of both Bunty and Anuj in the row.
- Bunty is 22nd from the left end and Anuj is 27th from the right end.
- Since the total number of students in the row is 60, we can calculate the number of students between Bunty and Anuj by subtracting their positions from the total number of students.
- Therefore, the number of students between Bunty and Anuj is (60-22-27) = 11.

Statement 3:
3) Anuj sits at an end
- This statement does not provide any information about the positions of Bunty or Anuj in the row.
Therefore, from statement 2 alone, we can determine the number of students between Bunty and Anuj in the row. Hence, the correct answer is option Only 2.

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.

 How many boys students are there in the class ?
I.65%girls students are there in the class
II.The no of boys students is half that of girls
  • 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 'D'. Can you explain this answer?

Aarav Sharma answered
Statement I: 65% girls students are there in the class
Statement II: The number of boys students is half that of girls

To determine the number of boys students in the class, we need to know the total number of students in the class. However, neither statement provides this information.

Let's analyze each statement separately:

Statement I alone:
We are given that 65% of the students in the class are girls. However, without knowing the total number of students, we cannot determine the number of boys students. For example, if there are 100 students in the class, then 65% of them would be girls, which means there would be 35 boys students. However, if there are 200 students in the class, then 65% of them would be girls, which means there would be 70 boys students. Therefore, statement I alone is not sufficient to answer the question.

Statement II alone:
We are given that the number of boys students is half that of girls. Again, without knowing the total number of students, we cannot determine the number of boys students. For example, if there are 10 girls students, then there would be 5 boys students. However, if there are 20 girls students, then there would be 10 boys students. Therefore, statement II alone is not sufficient to answer the question.

Combining the two statements:
Even when we combine both statements, we still do not have enough information to determine the number of boys students. We know that 65% of the students are girls and that the number of boys students is half that of girls, but without knowing the total number of students, we cannot determine the actual number of boys students. Therefore, the data given in both statements I and II together are not sufficient to answer the question.

In conclusion, neither statement alone nor the two statements together provide enough information to determine the number of boys students in the class. Hence, the correct answer is option D.

What is the distance between points A and B?
I. Point P is 10 m west of point C. Point D is 5 m north of point A which is 5 m west of point C.
II. Point Q is equidistant from points A and B.
  • a)
    If the data in statement I alone is sufficient to answer the question.
  • b)
    If the data in statement II alone is sufficient to answer the question.
  • c)
    If the data either in statement I alone or statement II alone are sufficient to answer the question.
  • d)
    If the data given in both I and II together are not sufficient to answer the question.
  • e)
    If the data in both the statements I and II together are necessary to answer the question.
Correct answer is option 'D'. Can you explain this answer?

Statement I:
- Point P is 10 m west of point C.
- Point D is 5 m north of point A, which is 5 m west of point C.
From Statement I alone, we can determine the relative positions of points A, C, D, and P. However, we still do not have the exact distances between points A and B. Therefore, Statement I alone is not sufficient to answer the question.

Statement II:
- Point Q is equidistant from points A and B.
From Statement II alone, we know that point Q is equidistant from points A and B. However, this information does not provide us with the actual distance between points A and B. Therefore, Statement II alone is not sufficient to answer the question.

Both Statements Together:
When we consider both statements together, we still do not have enough information to determine the distance between points A and B. Even though we have more details about the positions of various points, the exact distance between A and B cannot be calculated with the given information. Therefore, the data in both statements together are not sufficient to answer the question.
Therefore, the correct answer is option D - If the data given in both I and II together are not sufficient to answer the question.

P, Q, R, S, T and U are sitting around a circular table, facing the centre. Who is sitting opposite P?
1) Q and R are sitting opposite each other.
2) T may sit either on the immediate left of Q or on the immediate right of R.
3) S cannot sit opposite T, and P cannot sit opposite T
  • a)
    only 1
  • b)
    only 1 and 2
  • c)
    only 2 and 3
  • d)
    all of them
  • e)
    none of these
Correct answer is option 'D'. Can you explain this answer?

Saranya Ahuja answered


Statement 1:
- Q and R are sitting opposite each other.

Statement 2:
- T may sit either on the immediate left of Q or on the immediate right of R.

Statement 3:
- S cannot sit opposite T, and P cannot sit opposite T.

Explanation:
- From statement 1, we know that Q and R are opposite each other.
- From statement 2, T can only sit next to either Q or R.
- Combining statement 1 and 2, we can determine the positions of Q, R, and T around the table.
- From statement 3, S cannot be opposite T, so S must be in a position that is not opposite T.
- Since P cannot be opposite T as well, P must also be in a position that is not opposite T.
- By process of elimination, P must be sitting opposite U.
- Hence, all three statements together determine that P is sitting opposite U.

Therefore, the correct answer is option D, all of them.

Who among Raj, Jyoti, Akash and Neelam is the heaviest?
1) Jyoti is heavier than Neelam.
2) Raj is not as heavy as either Akash or Jyoti.
3) Neelam is neither the heaviest nor the lightest.
  • a)
    only 1
  • b)
    only 2 and 3
  • c)
    all 1,2 and 3
  • d)
    Can’t be determined
  • e)
    none of these
Correct answer is option 'D'. Can you explain this answer?

Based on the given information:

1) Jyoti is heavier than Neelam.
2) Raj is not as heavy as either Akash or Jyoti.
3) Neelam is neither the heaviest nor the lightest.

From statement 1, we know that Jyoti > Neelam.

From statement 2, we know that Raj < akash="" and="" raj="" />< />

From statement 3, we know that Neelam is not the heaviest or the lightest.

Combining all the information, we can determine the order of their weights:

Raj < akash="" />< jyoti="" /> Neelam

Therefore, Jyoti is the heaviest among Raj, Jyoti, Akash, and Neelam.

The answer is (a) only 1.

On which day of the week did Anil arrive?
1) His sister, Tanvi, correctly remembers that he did not arrive on Wednesday.
2) His friend, Manav, correctly remembers that he arrived before Friday.
3) His mother correctly mentions that he arrived before Friday but after Tuesday.
  • a)
    only 1 and 2
  • b)
    only 2 and 3
  • c)
    only 1 and 3
  • d)
    all 1,2 and 3
  • e)
    none of these
Correct answer is option 'C'. Can you explain this answer?

Bhavya Chopra answered

Analysis:

Given Information:
1) Tanvi remembers that Anil did not arrive on Wednesday.
2) Manav remembers that Anil arrived before Friday.
3) Anil's mother mentions that he arrived before Friday but after Tuesday.

Explanation:
- From point 1, we can eliminate Wednesday as the day of Anil's arrival.
- From point 2, we know that Anil arrived before Friday, so the possible days are Tuesday, Thursday, or earlier.
- Combining points 2 and 3, we see that Anil's arrival day must be before Friday but after Tuesday. This leaves Thursday as the only possible day for Anil's arrival, satisfying all the given conditions.

Therefore, based on the information provided by Tanvi, Manav, and Anil's mother, we can conclude that Anil arrived on Thursday. This means that option C) only 1 and 3 is the correct choice.

In how many days Karuna completed her assignment when announced to complete so?
I. Her teacher wanted the assignment to be checked within 10 days when announced.
II. Karuna went to outstation with family the same day and came back before 1 day the day, assignment needed to get checked.
  • a)
    If the data in statement I alone is sufficient to answer the question.
  • b)
    If the data in statement II alone is sufficient to answer the question.
  • c)
    If the data either in statement I alone or statement II alone are sufficient to answer the question.
  • d)
    If the data given in both I and II together are not sufficient to answer the question.
  • e)
    If the data in both the statements I and II together are necessary to answer the question.
Correct answer is option 'D'. Can you explain this answer?



Statement I:
Given that the teacher wanted the assignment to be checked within 10 days when announced. However, this information alone does not provide the specific number of days Karuna took to complete the assignment.

Statement II:
Karuna went outstation with her family the same day the assignment was announced and came back one day before the assignment needed to be checked. This information alone also does not provide the exact number of days Karuna took to complete the assignment.

Together:
When we combine both statements, we know that the assignment needed to be checked within 10 days of announcement and Karuna returned one day before the assignment needed to be checked. However, we do not have the exact number of days Karuna took to complete the assignment. Therefore, the data given in both statements I and II together are not sufficient to answer the question.

Therefore, the correct answer is option 'D'.

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