## Data Sufficiency Questions and Answers Part-6

1. Question : How is 'DATE' written in the code language ?

Statements :
I. DEAR is written as \$#@? in that code.
II. TREAT is written as %?#@% in that code.
III. TEAR is written as %#@? in that code.
a) Only I and II
b) Only II and III
c) All I, II and III
d) Only I and either II or III

Explanation: Observing I, II and III, we find that similar letters have similar code symbols at the corresponding places in the code. So, this is direct-coding.
Thus, to find the code for DATE, we need the code for D which can be obtained from I only (i.e. \$.) and the codes for A, T and E which can be obtained either from II or III (@, # and % respectively).

2. Question : In which year was Sanjay born ?

Statements :
I. Sanjay is six years older than Gopal.
II. Gopal's brother was born in 1982.
III. Sanjay's brother is two years younger than Gopal's brother who was eight years younger than Gopal.
a) Only I and II
b) Only II and III
c) Only I and III
d) All I, II and III

Explanation: From II, we know that Gopal's brother was born in 1982.
From III, we find that Gopal's brother was 8 years younger to him i.e. Gopal was born in 1974.
From I, we find that Sanjay is 6 years older than Gopal. Thus, Sanjay was born in 1968.

3. Question : Who among Siddhartha, Nikunj, Vipul and Mukul is the youngest?

Statements :
I. Vipul is younger than Mukul but older than Siddhartha and Nikunj.
II. Mukul is the oldest.
III. Siddhartha is older than Nikunj.
a) Only I
b) Only I and II
c) Only II and III
d) Only I and III

Explanation: From I, we have: M > V, V > S, V > N ...(i)
From II, we have: Mukul is the oldest ...(ii)
From III, we have: S > N ...(iii)
Combining (i) and (iii), we get :M > V, V >S > N or M>V > S > N. Clearly, Nikunj is the youngest.

4. Question : In a certain code, 'XYZ' means 'We are friends'. Which letter stands for 'We' ?

Statements :
I. 'PYN' means 'They are classmates'.
II. 'ZMS' means 'We love them'.
III. 'PX' means 'Hello friends'.
a) Only II
b) Only I and III
c) All I, II and III
d) None of these

Explanation: To find the code for 'we', we need to have any of the following:
(i) 'We are friends' should have only 'We' common with another statement, as in II;
(ii) 'We are friends' should have only 'are' and 'friends' common with another single or two statements, as in I and III. Thus, we need Either II only or I and III only.

5. Question : Among P, Q, R, S and T, Q is the second tallest and S is immediate taller than the shortest. Who among them is in the middle when they stand in the order of their heights ?

Statements :
I. T is not the shortest.
II. R is taller than S but shorter than Q.
III. P ranks third in height above S when all are arranged in the order of height.
a) Only I and II
b) Either II only or I and III only
c) Only II
d) Only II and III

Explanation: From the given statement, the descending order of heights is :__, Q,__, S,__.
From II, we have the order: _, Q, R, S,__. Thus, R is in the middle.
From III, we have the order : P, Q,__, S,__. But, according to I, T is not the shortest.
So, R is the shortest. Thus, we have the order : P, Q, T, S, R. So, T is in the middle.

6. Question : How many employees of Bank Z opted for VRS ?

Statements :
I. 18% of the 950 officer cadre employees and 6% of the 1100 other cadre employees opted for VRS.
II. 28% of the employees in the age-group of 51 to 56 and 17% of the employees in all other age-groups opted for VRS.

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: number of employees who opted for VRS = 18% of 950 + 6% of 1100 = 171 + 66 = 237.
From II, we cannot get the required answer until and unless the number of employees in age-group 51 to 56 and other age-groups is known.

7. Question : Among M, N, D, P and K, who earns more than only the least earner among them ?

Statements :
I. N earns more than M and P but less than only D.
II. M earns more than P who earns less than K.
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: N > M, N > P, D > N. Thus, we have: D > N > M > P or D>N> P>M.
But, from II, M earns more than P i.e. D > N > M > P. Also, since P earns less than K and N earns less than only D, so we have: D>N>K>M>P or D>N>M> K > P.
Hence, either K or M earns more than only the least earner i.e. P.

8.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
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 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.

9. Question : It is 8.00 p.m., when can Hemant get next bus for Ramnagar from Dhanpur?

Statements :
I. Buses for Ramnagar leave after every 30 minutes, till 10 p.m.
II. Fifteen minutes ago, one bus has left for Ramnagar.
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: II reveals that the previous bus had left at 7.45 p.m. As given in I, the next bus would leave after 30 minutes i.e. at 8.15 p.m.

10. Question : How many girls are taller than Shravan in his class ?

Statements :
I. When students of Shravan's class are ranked in descending order of their heights, Shravan's rank is 17th from the top among all the students and 12th among boys.
II. Shravan's rank from the bottom on the basis of height among boys is 18th and among all students, 29th.
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