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All questions of Data sufficiency for CDS Exam

Question:
In a certain code, 'XYZ' means 'We are friends'. Which letter stands for 'We'?
Statements:
I. 'PYN' means 'They are classmates'.
II. 'ZMS' means 'We love them'.
III. 'PX' means 'Hello friends',
  • a)
    Only II
  • b)
    Only I and III
  • c)
    All I, II and III
  • d)
    Either I only or II only
  • e)
    None of these
Correct answer is option 'E'. Can you explain this answer?

Aditya Kumar answered
Explanation:
To find the code for 'we', we need to have any of the following:
(i) 'We are friends' should have only 'We' common with another statement, as in II;
(ii) 'We are friends' should have only 'are' and 'friends' common with another single or two statements, as in I and III. Thus, we need Either II only or I and III only.

Who is taller among A, B, C, D, and E?
I. D is shorter than B. A is shorter than only E.
II. B is taller than only D. E is taller than A and C.
  • 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 'C'. Can you explain this answer?

Varun Rane answered
Statement I alone is sufficient to answer the question.

From statement I, we know that D is shorter than B and A is shorter than only E.

Therefore, the order of height can be determined as follows:

E > A > ?
B > D

Since A is shorter than only E, we can conclude that A is taller than D.

Therefore, the order of height is: E > A > D

So, we can determine that E is the tallest among A, B, C, D, and E based on statement I alone.

Statement II alone is not sufficient to answer the question.

From statement II, we know that B is taller than only D and E is taller than A and C.

However, we cannot determine the height of A, C, or E based on this information alone.

For example, if A is taller than C, then the order of height would be: E > A > C > D > B.

But if C is taller than A, then the order of height would be: E > C > A > D > B.

Therefore, statement II alone is not sufficient to answer the question.

Combining both statements I and II, we can determine the order of height as follows:

E > A > ?
B > D

Since A is shorter than only E and B is taller than only D, we can conclude that A is taller than D.

Therefore, the order of height is: E > A > D.

Thus, the data in either statement I alone or statement II alone is sufficient to answer the question.

Therefore, the correct answer is option 'C'.

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.

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 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.

Question:
How many visitors saw the exhibition yesterday?
Statements:
I. Each entry pass holder can take up to three persons with him/her.
II. In all, 243 passes were sold yesterday.
  • a)
    I alone is sufficient while II alone is not sufficient
  • b)
    II alone is sufficient while I alone is not sufficient
  • c)
    Either I or II is sufficient
  • d)
    Neither I nor II is sufficient
  • e)
    Both I and II are sufficient
Correct answer is option 'D'. Can you explain this answer?

Raghav Patel answered
Explanation:Explanation:
 

  • Statement I alone does not provide a specific number of visitors as it only gives a rule regarding how many people can enter with each pass holder. It does not give any information on how many pass holders actually brought guests with them.

  • Statement II alone provides the total number of passes sold, which is 243, but it does not specify how many visitors actually attended the exhibition with these passes. Without knowing how many guests each pass holder brought, we cannot determine the total number of visitors.

  • Combining both statements does not help in determining the exact number of visitors as we still do not have information on how many guests each pass holder brought with them.

  • Therefore, neither statement alone nor both statements together are sufficient to determine the number of visitors who saw the exhibition yesterday.


  •  

Question:
Among P, Q, R, S and T, Q is the second tallest and S is immediate taller than the shortest. Who among them is in the middle when they stand in the order of their heights?
Statements:
I. T is not the shortest.
II. R is taller than S but shorter than Q.
III. P ranks third in height above S when all are arranged in the order of height.
  • a)
    Only I and II
  • b)
    Either II only or I and III only
  • c)
    Only II
  • d)
    Only II and III
  • e)
    None of these
Correct answer is option 'B'. Can you explain this answer?

Maya Chavan answered
Explanation:
From the given statement, the descending order of heights is :__, Q,__, S,__.
From II, we have the order: _, Q, R, S,__. Thus, R is in the middle.
From III, we have the order : P, Q,__, S,__. But, according to I, T is not the shortest.
So, R is the shortest. Thus, we have the order : P, Q, T, S, R. So, T is in the middle.

Question:
How is 'DATE' written in the code language?
Statements:
I. DEAR is written as $#@? in that code.
II. TREAT is written as %?#@% in that code.
III. TEAR is written as %#@? in that code.
  • a)
    Only I and II
  • b)
    Only II and III
  • c)
    All I, II and III
  • d)
    Only I and either II or III
  • e)
    None of these
Correct answer is option 'D'. Can you explain this answer?

Mihir Chavan answered

Explanation:

Given Codes:
- DEAR is written as $#@?
- TREAT is written as %?#@%
- TEAR is written as %#@?

Analysis:
- Comparing the codes for DEAR, TREAT, and TEAR, we can identify the patterns in the code language.

Pattern:
- Each letter in the word corresponds to a symbol in the code.
- The letters in the word are rearranged in the code.

Applying Pattern:
- Using the patterns observed in the given codes, we can determine the code for DATE by rearranging the letters in DATE and assigning corresponding symbols.

Code for DATE:
- DATE can be rearranged as TEAD.
- Assigning symbols based on the rearranged order, we get the code for DATE as %#?@

Conclusion:
- The code for DATE in the given code language is %#?@. Therefore, the correct answer is option 'D' - Only I and either II or III.

How many floors does the building have (including ground floor)?
I. There are 3 families in the building and no two families live immediately above or below each other.
II. The area in which building is built has a rule that a building cannot have more than 4 floors (including ground floor).
  • 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?

Sagar Sharma answered
Statement I: There are 3 families in the building and no two families live immediately above or below each other.

This statement alone does not provide any information about the number of floors in the building. It only tells us that the three families do not live immediately above or below each other, but it does not give any indication of the total number of floors.

Statement II: The area in which building is built has a rule that a building cannot have more than 4 floors (including ground floor).

This statement alone tells us that the building cannot have more than 4 floors, including the ground floor. However, it does not provide any specific information about the number of floors in this particular building.

Combined statements:

By combining the information from both statements, we can determine the number of floors in the building.

Since the area has a rule that a building cannot have more than 4 floors, and there are 3 families living in the building, it means that each family must occupy one floor.

Therefore, the building must have at least 3 floors, including the ground floor, in order to accommodate each family on a separate floor. Additionally, since the building cannot have more than 4 floors, we can conclude that the building has exactly 3 floors.

Hence, the data given in both statements I and II together are necessary to answer the question.

Therefore, the correct answer is option E.

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'.

What will be the share of R in the profit earned by V, R and A together?
I. They together invested an amount of Rs.54000 for a period of 1 year
II. R’s investment was 25% less than V’s and 50% more than A’s.
III. The profit of V is 4000 more than that of A.
  • a)
    I and II together
  • b)
    Only II
  • c)
    II and either I or III only
  • d)
    II and III together
  • e)
    None of the Above
Correct answer is option 'D'. Can you explain this answer?

Let A’s investment = x
From statement II
R’s investment = 150% of x = 1.5x
V’s investment = z = R’s investment was 25% less than V’s = 75% of z = 1.5x => 2x
A, V, R profit ratio = x : 2x :1.5x = 2:4:3
Let profit ratio of A, V, R be 2y, 4y and 3y
From statement III
4y-2y = 4000
y =2000
R’ share = Rs.6000
Statement II and III together are sufficient to answer the question.

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