Data Sufficiency Questions and Answers Part-1

1. 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.
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 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.

2. 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.
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, 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.

3. Question : How is A related to D ?

Statements :
I. B is the brother of A.
II. B is D's son.
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 and II, we conclude that A is either son or daughter of D.

4. Question : Manoj, Prabhakar, Akash and Kamal are four friends. Who among them is the heaviest ?

Statements :
I. Prabhakar is heavier than Manoj and Kamal but lighter than Akash.
II. Manoj is lighter than Prabhakar and Akash but heavier than Kamal.
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: P > M, P > K, A > P.
Thus, A > P > M > K or A > P > K > M. So, Akash is the heaviest.
From II, we have: P > M, A > M, M > K.
Thus, A > P > M > K or P > A > M > K. So, either Akash or Prabhakar is the heaviest.

5. 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.
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: 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.

6. Question : Who among P, Q, T, V and M is exactly in the middle when they are arranged in ascending order of their heights ?

Statements :
I. V is taller than Q but shorter than M.
II. T is taller than Q and M but shorter than P.
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 have: M > V > Q.
From II, we have: T > Q, T > M, P > T.
Combining the above two, we have: P>T>M>V>Q i.e. Q
Clearly, M is in the middle.

7. Question : Which code word stands for 'good' in the coded sentence 'sin co bye' which means 'He is good' ?

Statements :
I. In the same code language, 'co mot det' means 'They are good'.
II. In the same code language, 'sin mic bye' means 'He is honest'
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: In the given statement and I, the common word is 'good' and the common code word is 'co'. So, 'co' is the code for 'good'.
In the given statement and II, the common words are 'He' and 'is' and the common code words are 'sin' and 'bye'. So 'sin' and 'bye' are the codes for 'He' and 'is'. Thus, in the given statement, 'co' is the code for 'good'.

8. Question : What is the numerical code for 'water' in a certain code ?

Statements :
I. The code for 'give me water' is '719'.
II. The code for 'you can bring water for me' is written as '574186'.
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: In I and II, the common words are 'me' and 'water' and the common code numbers are '7' and '1'. So, the code for 'water' is either '7' or '1'.

9.Question : How many visitors saw the exhibition yesterday ?

Statements :
I. Each entry pass holder can take up to three persons with him/her.
II. In all, 243 passes were sold yesterday.
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 and II, we find that maximum (243 x 3) i.e. 729 visitors saw the exhibition.
But the exact number cannot be determined.

10. Question : Gaurav ranks eighteenth from the top in a class. What is his rank from the last?

Statements :
I. There are 47 students in the class.
II. Jatin who ranks 10th in the same class, ranks 38th from the last.
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