Data Sufficiency - 03

01. Question : What is the code for 'is' in the code language ?

Statements :
I. In the code language, 'shi tu ke' means 'pen is blue'.
II. In the same code language, 'ke si re' means 'this is wonderful'.

  • 1I alone is sufficient while II alone is not sufficient
  • 2II alone is sufficient while I alone is not sufficient
  • 3Either I or II is sufficient
  • 4Both I and II are sufficient
Answer:- 1
Explanation:-

Solution:
In I and II, the common word is 'is' and the common code word is 'ke'. So, 'ke' is the code for 'is'.

02. Question : On which day in April is Gautam's birthday?

Statements :
I. Gautam was born exactly 28 years after his mother was born.
II. His mother will be 55 years 4 months and 5 days on August 18 this year.

  • 1I alone is sufficient while II alone is not sufficient
  • 2II alone is sufficient while I alone is not sufficient
  • 3Either I or II is sufficient
  • 4Both I and II are sufficient
Answer:- 1
Explanation:-

Solution:
Clearly, the birthday of Gautam's mother can be found out from II and then Gautam's birthday can be determined using the fact given in I.

03. Question : How many New Year's greeting cards were sold this year in your shop ?

Statements :
I. Last year 2935 cards were sold.
II. The number of cards sold this year was 1.2 times that of last year.

  • 1I alone is sufficient while II alone is not sufficient
  • 2II alone is sufficient while I alone is not sufficient
  • 3Either I or II is sufficient
  • 4Both I and II are sufficient
Answer:- 1
Explanation:-

Solution:
From both I and II, we find that the number of cards sold this year = (2935 x 1.2) = 3522.

04. Question : T studies in which of the schools B, C, D, E and F ?

Statements :
I. T does not study in the same school as either R or J.
II. R and J study in schools D and F respectively.

  • 1I alone is sufficient while II alone is not sufficient
  • 2II alone is sufficient while I alone is not sufficient
  • 3Either I or II is sufficient
  • 4Neither I nor II is sufficient
Answer:- 1
Explanation:-

Solution:
As given in I and II, R studies in school D and J studies in school F. So, T does not study in school D or school F. Thus, T studies in any one of the schools B, C or E.

05. Question : Which direction is Sunny facing now ?

Statements :
I. If Sunny turns to his right and again turns to his right, he will be facing North.
II. If Sunny walks some distance and turns left and again walks some distance, then his face will be towards left of Dinesh who is facing South.

  • 1I alone is sufficient while II alone is not sufficient
  • 2II alone is sufficient while I alone is not sufficient
  • 3Either I or II is sufficient
  • 4Neither I nor II is sufficient
Answer:- 1
Explanation:-

Solution:
From I, we conclude that Sunny is facing South, since a person facing South shall face North on turning to his right, twice.
From II, we know that after walking, Sunny shall face towards left of Dinesh facing South i.e. East and a person walking southwards shall face East on turning to 'his left.
Thus, Sunny is facing South.

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

Statements :
I. There are ten students between Nitin and Deepak.
II. Deepak is twentieth from the top.

  • 1I alone is sufficient while II alone is not sufficient
  • 2II alone is sufficient while I alone is not sufficient
  • 3Either I or II is sufficient
  • 4Neither I nor II is sufficient
Answer:- 1
Explanation:-

Solution:
Since there are ten students between Nitin and Deepak, so Nitin may be eleven ranks above or below Deepak. Thus, Nitin may be 9th or 31st from the top.

07. Question : Vinod's and Javed's salaries are in the proportion of 4 : 3 respectively. What is Vinod's salary ?

Statements :
I. Javed's salary is 75% that of Vinod's salary.
II. Javed's salary is Rs 4500.

  • 1I alone is sufficient while II alone is not sufficient
  • 2II alone is sufficient while I alone is not sufficient
  • 3Either I or II is sufficient
  • 4Neither I nor II is sufficient
Answer:- 1
Explanation:-

Solution:
Statement I is merely an interpretation of the information contained in the question.
However, Vinod's salary can be ascertained from II as follows : Let Vinod's and Javed's salaries be 4x and 3x respectively. Then, 3x = 4500 or x = 1500. Therefore Vinod's salary = 4x = Rs. 6000.

08. Question : How is A related to D ?

Statements :
I. B is the brother of A.
II. B is D's son.

  • 1I alone is sufficient while II alone is not sufficient
  • 2II alone is sufficient while I alone is not sufficient
  • 3Either I or II is sufficient
  • 4Neither I nor II is sufficient
Answer:- 1
Explanation:-

Solution:
From I and II, we conclude that A is either son or daughter of D.

09. Question : What is the shortest distance between Devipur and Durgapur ?

Statements :
I. Durgapur is 20 kms away from Rampur.
II. Devipur is 15 kms away from Rampur.

  • 1I alone is sufficient while II alone is not sufficient
  • 2II alone is sufficient while I alone is not sufficient
  • 3Either I or II is sufficient
  • 4Neither I nor II is sufficient
Answer:- 1
Explanation:-

Solution:
Clearly, the distance of each village from Rampur is given in I and II. But nothing about their relative positions is mentioned. So, the distance between the two villages cannot be calculated.

10. Question : How is T related to K?

Statements :
I. K has two sons; one of the sons is A.
II. The mother of T has only two sons - Aand B.

  • 1I alone is sufficient while II alone is not sufficient
  • 2II alone is sufficient while I alone is not sufficient
  • 3Either I or II is sufficient
  • 4Both I and II are sufficient
Answer:- 1
Explanation:-

Solution:
From II, we know that T's mother has only two sons, A and B. This implies that T is the sister of both A and B. But, from I, A is also K's son. So, T is the daughter of K.

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