Data Sufficiency - 01

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

Statements :
I. 'pit na tac' means 'come and go' in that code language.
II. 'ja ta da' means 'you are good' in that code language.
III. 'na da rac' means 'you can come' in that code language.

  • 1Only I and II
  • 2Only II and III
  • 3Only I and III
  • 4All I, II and III
Answer:- 1
Explanation:-

Solution:
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.

02. Question : How many sons does X have ?

Statements :
I. Q and U are brothers of T.
II. R is sister of P and U.
III. R and T are daughters of X.

  • 1Only I and II
  • 2Only II and III
  • 3All I, II and HI
  • 4I, II and III together are not sufficient
Answer:- 1
Explanation:-

Solution:
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.

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

Statements :
I. Pointing to the photograph, Kunal said, "She is the mother of my father's only granddaughter".
II. Kunal has no siblings.
III. Pointing to the photograph, Kunal said, "She is the only daughter-in-law of my mother."

  • 1Any two of the three
  • 2Only I and II
  • 3Only II and III
  • 4Either only III or only I and II
Answer:- 1
Explanation:-

Solution:
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.

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

Statements :
I. P is taller than D and N but not-as tall as T.
II. R is taller than Q but not as tall as T.
III. Q is not taller than T and R.

  • 1Only I and II
  • 2Only II and III
  • 3Only I and III
  • 4All I, II and III
Answer:- 1
Explanation:-

Solution:
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.

05. Question : What is the total monthly salary of Vasu ?

Statements :
I. Vasu's basic salary is Rs 100 more than Rajan's salary who also serves in Vasu's company.
II. Other allowances drawn by Rajan besides his basic salary are Rs 2000 per month which is Rs 50 less than Vasu's salary.
III. Rajan's basic salary is Rs 1550 per month.

  • 1Only II
  • 2Only II and III
  • 3Only I and II
  • 4All I, II and III
Answer:- 1
Explanation:-

Solution:
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.

06. Question : Four subjects - Physics, Chemistry, Mathematics and Biology - were taught in four consecutive periods of one hour each starting from 8.00 a.m. At what time was the Chemistry period scheduled ?

Statements :
I. Mathematics period ended at 10.00 a.m., which was preceded by Biology.
II. Physics was scheduled in the last period.
III. Mathematics period was immediately followed by Chemistry.

  • 1Only I
  • 2Either I only or II only
  • 3Only II
  • 4Only I and either II or III
Answer:- 1
Explanation:-

Solution:
From I and II, we conclude that Mathematics period began at 9.00 a.m., Biology period began at 8.00 a.m. and Physics period began at 11 a.m. So, the Chemistry period began at 10.00 a.m.
From I and III, we conclude that Mathematics period ended and Chemistry period began at 10.00 a.m.

07. 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.

  • 1Only I and II
  • 2Either II only or I and III only
  • 3Only II
  • 4Only II and III
Answer:- 1
Explanation:-

Solution:
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.

08. Question : Who among Siddhartha, Nikunj, Vipul and Mukul is the youngest?

Statements :
I. Vipul is younger than Mukul but older than Siddhartha and Nikunj.
II. Mukul is the oldest.
III. Siddhartha is older than Nikunj.

  • 1Only I
  • 2Only I and II
  • 3Only II and III
  • 4Only I and III
Answer:- 1
Explanation:-

Solution:
From I, we have: M > V, V > S, V > N ...(i)
From II, we have: Mukul is the oldest ...(ii)
From III, we have: S > N ...(iii)
Combining (i) and (iii), we get :M > V, V >S > N or M>V > S > N. Clearly, Nikunj is the youngest.

09. Question : In which year was Sanjay born ?

Statements :
I. Sanjay is six years older than Gopal.
II. Gopal's brother was born in 1982.
III. Sanjay's brother is two years younger than Gopal's brother who was eight years younger than Gopal.

  • 1Only I and II
  • 2Only II and III
  • 3Only I and III
  • 4All I, II and III
Answer:- 1
Explanation:-

Solution:
From II, we know that Copal's brother was born in 1982.
From III, we find that Gopal's brother was 8 years younger to him i.e. Gopal was born in 1974.
From I, we find that Sanjay is 6 years older than Gopal. Thus, Sanjay was born in 1968.

10. 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.

  • 1Only I and II
  • 2Only II and III
  • 3All I, II and III
  • 4Only I and either II or III
Answer:- 1
Explanation:-

Solution:
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).

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