Exercise: Data Sufficiency

Questions for: Data Sufficiency

Question: How many sons does X have ?

Statements:

  1. Q and U are brothers of T.
  2. R is sister of P and U.
  3. 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
Answer: D

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.

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

Statements:

  1. Pointing to the photograph, Kunal said, "She is the mother of my father's only granddaughter".
  2. Kunal has no siblings.
  3. 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
Answer: D

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.

Question: What does 'come' represent in a code language ?

Statements:

  1. 'pit na tac' means 'come and go' in that code language.
  2. 'ja ta da' means 'you are good' in that code language.
  3. '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
Answer: C

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.

Question: Who is the tallest among six boys P, T, N, D, Q and R ?

Statements:

  1. P is taller than D and N but not-as tall as T.
  2. R is taller than Q but not as tall as T.
  3. Q is not taller than T and R.

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

From I, we have: P > D, P > N, T > P i.e. T > P > D > N or T > P > N > D ...(i)

From II, we have: R > Q, T > R i.e. T > R > Q ...(ii)

From III, we have: T > Q, R > Q ...(iii)

Clearly, from (i) and (ii), we conclude that T is taller than each one of P, N, D, R and Q. So, T is the tallest.

Question: What is the total monthly salary of Vasu ?

Statements:

  1. Vasu's basic salary is Rs 100 more than Rajan's salary who also serves in Vasu's company.
  2. Other allowances drawn by Rajan besides his basic salary are Rs 2000 per month which is Rs 50 less than Vasu's salary.
  3. Rajan's basic salary is Rs 1550 per month,

A:
Only II
B:
Only II and III
C:
Only I and II
D:
Only I and III
Answer: E

From III, we have: Rajan's basic salary = Rs. 1550.

From I, we have: Vasu's basic salary = Rs. (1550 + 100) = Rs. 1650.

From II, we have: Rajan's other allowances = Rs. 2000 and Vasu's other allowances = Rs. 2050.

Therefore Vasu's monthly salary = Rs. (1650 + 2050) = Rs. 3700.

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