Exercise: Data Sufficiency

Questions for: Data Sufficiency

Question: How is 'DATE' written in the code language ?

Statements:

  1. DEAR is written as $#@? in that code.
  2. TREAT is written as %?#@% in that code.
  3. 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
Answer: D

Observing I, II and III, we find that similar letters have similar code symbols at the corresponding places in the code. So, this is direct-coding.

Thus, to find the code for DATE, we need the code for D which can be obtained from I only (i.e. $.) and the codes for A, T and E which can be obtained either from II or III (@, # and % respectively).

Question: Five persons - A, B, C, D and E are sitting in a row. Who is sitting in the middle?

Statements:

  1. B is between E and C.
  2. B is to the right of E.
  3. D is between A and E.

A:
Only I and II
B:
Only II and III
C:
Only I and III
D:
All I, II and III
Answer: D

From I, the order is : E, B, C or C, B, E.

From II, the order is : E, B.

From III, the order is : A, D, E.

Combining the above three, we get the order as : A, D, E, B, C. Clearly, E is sitting in the middle.

Question: What is Suman's rank from the top in a class of forty students ?

Statements:

  1. Suman is 3 ranks below Deepak from the top.
  2. Deepak's rank from the bottom is 23.
  3. Suman is 3 ranks above Deepak from the bottom.

A:
Any two of the three
B:
Only I and II
C:
Only II and III
D:
All I, II and III
Answer: E

From II, we conclude that in a class of 40, Deepak ranks 23rd from the bottom i.e. 18th from the top.

From I and II, we find that Suman is 3 ranks below 18th rank from the top i.e. she ranks 21st from the top.

From II and III, we find that Suman is 3 ranks above 23rd rank from the bottom

i.e. she ranks 20th from the bottom or 21st from the top.

Question: How is M related to N ?

Statements:

  1. B is the daughter of M and sister of Q.
  2. 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
Answer: D

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.

Question: How is R related to M ?

Statements:

  1. M's brother is husband of P.
  2. 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
Answer: D

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.

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