## Data Sufficiency Questions and Answers Part-2

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

Statements :
I. In the code language, 'sky is clear' is written as 'de ra fa'.
II. In the same code language, 'make it clear' is written as 'de ga jo'.

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: The only word common to I and II is 'clear' and as such, only the code for 'clear' can be ascertained from the given information.

2. Question : How many children are there between P and Q in a row of children ?

Statements :
I. P is fifteenth from the left in the row.
II. Q is exactly in the middle and there are ten children towards his right.
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, Q being in the middle, there are 10 children to his right as well as to his left. So, Q is 11th from the left. From I, P is 15th from the left.
Thus, from both I and II, we conclude that there are 3 children between P and Q.

3. Question : How is T related to K?

Statements :
I. R's sister J has married T's brother L, who is the only son of his parents.
II. K is the only daughter of L and J.
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 L is T's brother and J's husband. Since L is the only son of his parents, T is L's sister.
From II, we know that K is L's daughter.
Thus, from I and II, we conclude that T is the sister of K's father i.e. T is K's aunt.

4. Question : How is J related to P ?

Statements :
I. M is brother of P and T is sister of P.
II. P's mother is married to J's husband who has one son and two daughters.
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 II, we know that P's mother is married to J's husband, which means that J is P's mother.

5. Question : How is X related to Y ?

Statements :
I. Y and Z are children of D who is wife of X.
II. R's sister X is married to Ys father.
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 Y is the child of D who is wife of X i.e. X is Y's father.
From II, X is married to Y's father. This implies that X is Y's mother.

6. Question : What is Gagan's age ?

Statements :
I. Gagan, Vimal and Kunal are all of the same age.
II. Total age of Vimal, Kunal and Anil is 32 years and Anil is as old as Vimal and Kunal together.
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: As given in I and II, we have: G = V = K, V + K + A = 32 and A = V + K.
Putting V + K = A in V + K + A = 32, we have: 2A = 32 or A = 16.
Thus, V + K = 16 and V = K. So, V = K = 8. Thus, G = 8.

7. Question : In a certain code, '13' means 'stop smoking' and '59' means 'injurious habit'. What do '9' and '5' mean respectively in that code ?

Statements :
I. '157' means 'stop bad habit'.
II. '839' means 'smoking is injurious'.
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: '59' means 'injurious habit' and '157' means 'stop bad habit' (from I). Thus, the common code number '5' stands for common word 'habit'. So, '9' represents 'injurious'. Hence, I is sufficient.
Also, '59' means 'injurious habit' and '839' means 'smoking is injurious'. Thus, the common code number '9' stands for common word 'injurious'. So, '5' represents 'habit'. Thus, II is also sufficient.,

8. Question : How much money do Vivek and Suman have together ?

Statements :
I. Suman has 20 rupees less than what Tarun has.
II. Vivek has 30 rupees more than what Tarun has.
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: S = T - 20.
From II, we have: V = T + 30.
Thus, from both I and II, we have: V + S = (T + 30) + (T - 20) = (2 T + 10).
So, to get the required amount, we need to know the amount that Tarun has.

9. Question : Among Monika, Anita, Sonal, Ratna and Tanvy, who came last for the programme ?

Statements :
I. Monika came after Anita but not after Tanvy.
II. Ratna came after Tanvy but not after Sonal.
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 the order : A, M, T.
From II, we have the order: T, R, S.
Combining the above two, we get the order: A, M, T, R, S.
Thus, Sonal came last for the programme.

10. Question : Who among P, Q, R, S and T is the lightest?

Statements :
I. R is heavier than Q and T but lighter than S.
II. S is not the heaviest.
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