Data Sufficiency - 04

01. Question : What is Sachin's rank from the top in a class of 25 students ?

Statements :
I. Sachin ranks three ranks above Amit who ranks 18th from the bottom.
II. Sachin's rank from the top is two ranks below Deepti who ranks 23rd from the bottom.

  • 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 know that in a class of 25 students, Amit ranks 18th from the bottom and 8th from the top.
Sachin is three ranks above Amit and so, Sachin ranks 5th from the top.
From II, Deepti ranks 23rd from the bottom and hence, 3rd from the top. Sachin, being 2 ranks below Deepti, is, thus, 5th from the top.

02. Question : How many gift boxes were sold on Monday ?

Statements :
I. It was 10% more than the boxes sold on the earlier day i.e. Sunday.
II. Every third visitor to the shop purchased the box and 1500 visitors were there on Sunday.

  • 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 can conclude that (1500 * 3) = 500 boxes were sold on Sunday.
Thus, from I, we find that number of boxes sold on Monday = 500 + 10% of 500 = 550.

03. Question : Which word in the code language means 'flower' ?

Statements :
I. 'de fu la pane' means 'rose flower is beautiful' and 'la quiz' means 'beautiful tree'.
II. 'de la chin' means 'red rose flower' and 'pa chin' means 'red tea'.

  • 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 the two statements given in I, the code for the only common word 'beautiful' can be determined.
From the two statements given in II, the code for the only common word 'red' can be determined.
In I and II, the common words are 'rose and 'flower' and the common code words are 'de' and 'la'. So, the code for 'flower' is either 'de' or 'la'.

04. Question : Among T, V, B, E and C, who is the third from the top when arranged in the descending order of their weights ?

Statements :
I. B is heavier than T and C and is less heavier than V who is not the heaviest.
II. C is heavier than only T.

  • 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 have: B > T, B > C, V > B. Thus, V is heavier than each one of B, T and C. But V is not the heaviest. So, E is the heaviest.
Thus, we have the order. E>V>B>T>C or E>V>B>C>T. Clearly, B is third from the top.

05. Question : How is Tanya related to the man in the photograph ?

Statements :
I. Man in the photograph is the only son of Tanya's grandfather.
II. The man in the photograph has no brothers or sisters and his father is Tanya's grandfather.

  • 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 the man is the only son of Tanya's grandfather i.e. he is Tanya's father or Tanya is the man's daughter.
From II, we conclude that the man's father is Tanya's grandfather. Since the man has no brothers or sisters, so he is Tanya's father or Tanya is the man's daughter.

06. Question : On which day of the week was birthday of Sahil ?

Statements :
I. Sahil celebrated his birthday the very next day on which Arun celebrated his birthday.
II. The sister of Sahil was born on the third day of the week and two days after Sahil was born.

  • 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:
I does not mention the day of the week on the birthday of either Arun or Sahil.
According to II, Sahil's sister was born on Wednesday and Sahil was born two days before Wednesday i.e. on Monday.

07. Question : How many doctors are practising in this town ?

Statements :
I. There is one doctor per seven hundred residents.
II. There are 16 wards with each ward having as many doctors as the number of wards.

  • 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, total number of doctors in town = (1/700 x N) , where N = total number of residents in town. But, the value of N is not known.
From II, total number of doctors in town
= (Number of wards in town) x (Number of doctors in each ward)
= 16 x 16 = 256.

08. Question : How many children are there in the row of children facing North ?

Statements :
I. Vishakha who is fifth from the left end is eighth to the left of Ashish who is twelfth from the right end.
II. Rohit is fifth to the left of Nisha who is seventh from the right end and eighteenth from the left end.

  • 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 8th to the left of 12th from the right is 20th from the right, so from I, we know that Vishakha is 5th from left and 20th from right i.e. there are 4 children to the left and 19 to the right of Vishakha. So, there are (4 + 1 + 19) i.e. 24 children in the row.

From II, Nisha is 7th from right and 18th from left end of the row.
So, there are (6 + 1 + 17) = 24 children in the row.

09. Question : B is the brother of A. How is A related to B ?

Statements :
I. A is the sister of C.
II. E is the husband of A.

  • 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:
B is A's brother means A is either brother or sister of B. Now, each one of I and II individually indicates that A is a female, which means that A is B's sister.

10. Question : How is X related to Y?

Statements :
I. Y says, "I have only one brother".
II. X says, "I have only one sister".

  • 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:
The statements in I and II do not provide any clue regarding relation between X and Y.

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