Data Sufficiency Set 26

Q1. Question: How many girls are taller than Shravan in his class ?

Statements:

When students of Shravan’s class are ranked in descending order of their heights, Shravan’s rank is 17th from the top among all the students and 12th among boys.
Shravan’s rank from the bottom on the basis of height among boys is 18th and among all students, 29th.
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

Answer & Explanation

Answer: Option A

Explanation:

From I, we conclude that there are 16 students and 11 boys taller than Shravan.

This implies that there are 5 girls taller than Shravan.

In II, Shravan’s rank from the bottom is mentioned and to ascertain the number of girls taller than him, we need to know his rank from the top for which the number of students in the class is required, which is not given.

 

Q2. Question: How is R related to M ?

Statements:

M’s brother is husband of P.
P is mother of R’s sister.
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

Answer & Explanation

Answer: Option D

Explanation:

From II, we conclude that P is R’s mother.

From I, we conclude that M is the brother or sister of P’s husband, who is also R’s father. Thus, R is either nephew or niece of M.

 

Q3. Question: How is M related to N ?

Statements:

B is the daughter of M and sister of Q.
N is the son of K who is B’s grandfather.
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

Answer & Explanation

Answer: Option D

Explanation:

From II, we know that N is K’s son and K is B’s grandfather. Thus, N is the son of B’s grandfather i.e. N is either father or uncle of B.

From I, B is the daughter of M. So, M is either father or mother of B.

Clearly, the correct relationship between M and N cannot be deduced.

 

Q4. Question: What does ‘come’ represent in a code language ?

Statements:

‘pit na tac’ means ‘come and go’ in that code language.
‘ja ta da’ means ‘you are good’ in that code language.
‘na da rac’ means ‘you can come’ in that code language.
A. Only I and II
B. Only II and III
C. Only I and III
D. All I, II and III
E. None of these

Answer & Explanation

Answer: Option C

Explanation:

To find the code for ‘come’, we need to have two statements which have one common code word and ‘come’ as the common word, which is there in I and III.

 

Q5. Question: How is the girl in the photograph related to Kunal?

Statements:

Pointing to the photograph, Kunal said, “She is the mother of my father’s only granddaughter”.
Kunal has no siblings.
Pointing to the photograph, Kunal said, “She is the only daughter-in-law of my mother.”
A. Any two of the three
B. Only I and II
C. Only II and III
D. Either only III or only I and II
E. None of these

Answer & Explanation

Answer: Option D

Explanation:

From I, we conclude that the girl is either Kunal’s or his brother’s wife. But, according to II, Kunal has no siblings.

So, from both I and II, we conclude that the girl is Kunal’s wife.

From III, we find that the girl is the only daughter-in-law of Kunal’s mother i.e. she is Kunal’s wife.

 

Q6. Question: How many sons does X have ?

Statements:

Q and U are brothers of T.
R is sister of P and U.
R and T are daughters of X.
A. Only I and II
B. Only II and III
C. All I, II and HI
D. I, II and III together are not sufficient
E. None of these

Answer & Explanation

Answer: Option D

Explanation:

From I, II and III, we conclude that all P, Q, R, T and U are children of X. Of these, Q and U are male while R and T are female. But the sex of P cannot be determined.

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