All questions of Data Interpretation and Data Sufficiency for Mechanical Engineering 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%

How is ‘face’ written in that code?
I. In a certain code, ‘no one with face’ is written as ‘fo to om sop’ and ‘no one has face’ is written as ‘om sit fo sop’
II. In a certain code, ‘face of no light’ is written as ‘om mot fo kiz’ and ‘no one is smart’ is written as ‘sop fo sip lik’.
  • 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 'E'. Can you explain this answer?

Statement I:
- The code for 'no one with face' is 'fo to om sop'
- The code for 'no one has face' is 'om sit fo sop'

Statement II:
- The code for 'face of no light' is 'om mot fo kiz'
- The code for 'no one is smart' is 'sop fo sip lik'

Analysis:
- From statement I, we can see that the common code between the two sentences is 'fo sop', which corresponds to 'no one' in both cases.
- From statement II, we can see that the common code between the two sentences is 'fo', which corresponds to 'no one' in both cases.
- Combining the information from both statements, we can deduce that 'fo' represents 'no one' and 'sop' represents 'face'.
Therefore, the code for 'face' is 'sop' in this language. The data in both statements I and II together are necessary to answer the question, hence the correct answer is option 'E'.

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.

How is Priya (female) related to Vivek (male)?
I. Rajiv is brother of Vivek’s uncle Bhuvan.
II. Vivek’s grandfather has 2 children and also these 2 children have 2 children each. Priya’s mother is married to Rajiv.
  • 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 'E'. Can you explain this answer?

Statement I: Rajiv is brother of Vivek’s uncle Bhuvan.
- From this statement alone, we can determine that Rajiv is Bhuvan’s brother and also Vivek’s uncle. However, the relationship between Priya and Vivek is not clear from this statement.

Statement II: Vivek’s grandfather has 2 children and also these 2 children have 2 children each. Priya’s mother is married to Rajiv.
- From this statement, we know that Vivek’s grandfather has 2 children, who are likely Rajiv and Priya’s mother. Since Priya’s mother is married to Rajiv, it implies that Priya is Rajiv’s sister. Therefore, Priya is Vivek’s cousin.

Both Statements:
- Combining both statements, we can conclude that Rajiv is Bhuvan’s brother and Priya’s mother is married to Rajiv, making Priya Rajiv’s sister. Therefore, Priya is Vivek’s cousin.
- Thus, the data in both statements I and II together are necessary to answer the question of how Priya is related to Vivek.
Therefore, the correct answer is option 'E' - If the data in both the statements I and II together are necessary 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.

Q(11 – 15) Each of the questions below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read all the three statements and give answer: –
What is the man’s speed in still water?
I. The speed of the stream is one-third of the man’s speed in still water.
II. In a given time, the man can swim twice as far with the stream as he can against it.
  • 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?

Gowri Das answered
Understanding the Problem
To determine the man's speed in still water, we need to analyze the provided statements:
Statement I
- The speed of the stream is one-third of the man’s speed in still water.
Statement II
- In a given time, the man can swim twice as far with the stream as he can against it.
Analyzing Statement I
- This statement provides a relationship between the speed of the stream (S) and the speed of the man in still water (M).
- It can be expressed as: S = (1/3)M.
- However, without knowing either M or S independently, we cannot calculate the exact speed of the man in still water.
Analyzing Statement II
- This statement gives us a ratio of distances covered by the man swimming with the stream versus against the stream.
- If D1 is the distance covered against the stream and D2 is the distance covered with the stream, we have D2 = 2 * D1.
- Again, while this provides a comparative distance, it does not give us enough information to find the actual speed of the man in still water.
Combining Both Statements
- Even when combining both statements, we have a relationship involving the stream’s speed and a ratio of distances, but we still lack the necessary independent values to solve for the man's speed in still water.
Conclusion
- Thus, the data provided in both statements I and II together are insufficient to answer the question about the man's speed in still water. Therefore, option 'D' is correct: the data in both statements together are not sufficient to answer the question.

How is O related to M ?
I.M is the son of N, P is the husband of N.
II.R is married to O, O has 2 children P and Q.P is the father of M.
  • 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: M is the son of N, P is the husband of N.

Statement II: R is married to O, O has 2 children P and Q. P is the father of M.

To determine how O is related to M, we need to analyze both statements.

Analysis of Statement I:
- The statement tells us that M is the son of N.
- It also tells us that P is the husband of N.

However, this statement does not provide any direct information about the relationship between O and M. We cannot determine how O is related to M based on this statement alone.

Analysis of Statement II:
- The statement tells us that R is married to O.
- It also tells us that O has 2 children, P and Q.
- It further states that P is the father of M.

Based on this statement, we can infer that O is the mother of M because P is the father of M and O is the mother of P. Therefore, O is the mother of M.

Combining both statements:
- Statement I does not provide any information about the relationship between O and M.
- Statement II tells us that O is the mother of M.

Therefore, the data given in both statements together are not sufficient to determine how O is related to M. We cannot definitively say whether O is the mother of M based on the given information.

Hence, the correct answer is option 'D' - If the data given in both I and II together are not sufficient.

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