## Data Sufficiency Questions and Answers Part-3

1. 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.
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

Explanation: 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.

2. 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'.
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

Explanation: 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'.

3. Question : How many students in a class play football ?

Statements :
I. Only boys play football.
II. There are forty boys and thirty girls in the class.
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

Explanation: It is not mentioned whether all the boys or a proportion of them play football.

4. Question : Who is C's partner in a game of cards involving four players A, B, C and D ?

Statements :
I. D is sitting opposite to A.
II. B is sitting right of A and left of D.
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

Explanation: Clearly, each of the given statements shows that B is sitting opposite to C or B is the partner of C.

5. Question : On a T.V. channel, four serials A, B, C and D were screened, one on each day, on four consecutive days but not necessarily in that order. On which day was the serial C screened ?

Statements :
I. The first serial was screened on 23rd, Tuesday and was followed by serial D.
II. Serial A was not screened on 25th and one serial was screened between serials A and B.
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) Both I and II are sufficient

Explanation: From I, we know that the serials were screened on 23rd, 24th, 25th and 26th.
Clearly, D was screened second i.e. on 24th, Wednesday.
From II, we know that one serial was screened between A and B.
So, A and B were screened first and third, i.e. on 23rd and 25th. But, A was not screened on 25th.
So, A was screened on 23rd and B on 25th. Thus, C was screened on 26th, Friday.

6. 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.
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

Explanation: 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.

7. 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.
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

Explanation: 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.

8. 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.
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

Explanation: 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.

9. Question : How is Divya related to Shaloo ?

Statements :
I. Divya's mother is sister of Shaloo's father.
II. Shaloo is the daughter of Divya's grandfather's only child.
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

Explanation: From I, we conclude that Divya's mother is Shaloo's aunt or Divya is Shaloo's cousin.
Now, Divya's grandfather's only child is Divya's parent. So, from II, we conclude that Shaloo and Divya are daughters of the same parents i.e. Divya is Shaloo's sister.

10. 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.
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) Both I and II are sufficient