Question 1

Question: How is R related to M? Statements: M's brother is husband of P. P is mother of R's sister.

Accepted Answer

From II, we conclude that P is R's mother. From I, we conclude that M is the brother or sister of P's husband, who is also R's father. Thus, R is either nephew or niece of M.

Question 2

Question: How is M related to N? Statements: B is the daughter of M and sister of Q. N is the son of K who is B's grandfather.

Accepted Answer

From II, we know that N is K's son and K is B's grandfather. Thus, N is the son of B's grandfather i.e. N is either father or uncle of B. From I, B is the daughter of M. So, M is either father or mother of B. Clearly, the correct relationship between M and N cannot be deduced.

Question 3

Question: What is Suman's rank from the top in a class of forty students? Statements: Suman is 3 ranks below Deepak from the top. Deepak's rank from the bottom is 23. Suman is 3 ranks above Deepak from the bottom.

Accepted Answer

From II, we conclude that in a class of 40, Deepak ranks 23rd from the bottom i.e. 18th from the top. From I and II, we find that Suman is 3 ranks below 18th rank from the top i.e. she ranks 21st from the top. From II and III, we find that Suman is 3 ranks above 23rd rank from the bottom i.e. she ranks 20th from the bottom or 21st from the top.

Question 4

Question: Five persons - A, B, C, D and E are sitting in a row. Who is sitting in the middle? Statements: B is between E and C. B is to the right of E. D is between A and E.

Accepted Answer

From I, the order is : E, B, C or C, B, E. From II, the order is : E, B. From III, the order is : A, D, E. Combining the above three, we get the order as : A, D, E, B, C. Clearly, E is sitting in the middle.

Question 5

Question: How is 'DATE' written in the code language? Statements: DEAR is written as $#@? in that code. TREAT is written as %?#@% in that code. TEAR is written as %#@? in that code,

Accepted Answer

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).

Question 6

Question: In which year was Sanjay born? Statements: Sanjay is six years older than Gopal. Gopal's brother was born in 1982. Sanjay's brother is two years younger than Gopal's brother who was eight years younger than Gopal.

Accepted Answer

From II, we know that Copal'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.

Question 7

Question: Who among Siddhartha, Nikunj, Vipul and Mukul is the youngest? Statements: Vipul is younger than Mukul but older than Siddhartha and Nikunj. Mukul is the oldest. Siddhartha is older than Nikunj.

Accepted Answer

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.

Question 8

Question: In a certain code, 'XYZ' means 'We are friends'. Which letter stands for 'We'? Statements: 'PYN' means 'They are classmates'. 'ZMS' means 'We love them'. 'PX' means 'Hello friends',

Accepted Answer

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.

Question 9

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: T is not the shortest. R is taller than S but shorter t…

Accepted Answer

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.

Question 10

Question: Four subjects - Physics, Chemistry, Mathematics and Biology - were taught in four consecutive periods of one hour each starting from 8.00 a.m. At what time was the Chemistry period scheduled? Statements: Mathematics period ended at 10.00 a…

Accepted Answer

From I and II, we conclude that Mathematics period began at 9.00 a.m., Biology period began at 8.00 a.m. and Physics period began at 11 a.m. So, the Chemistry period began at 10.00 a.m. From I and III, we conclude that Mathematics period ended and Chemistry period began at 10.00 a.m.

Question 11

Question: What is the total monthly salary of Vasu? Statements: Vasu's basic salary is Rs 100 more than Rajan's salary who also serves in Vasu's company. Other allowances drawn by Rajan besides his basic salary are Rs 2000 per month which is Rs 50 l…

Accepted Answer

From III, we have: Rajan's basic salary = Rs. 1550. From I, we have: Vasu's basic salary = Rs. (1550 + 100) = Rs. 1650. From II, we have: Rajan's other allowances = Rs. 2000 and Vasu's other allowances = Rs. 2050. Therefore Vasu's monthly salary = Rs. (1650 + 2050) = Rs. 3700.

Question 12

Question: Who is the tallest among six boys P, T, N, D, Q and R? Statements: P is taller than D and N but not-as tall as T. R is taller than Q but not as tall as T. Q is not taller than T and R.

Accepted Answer

From I, we have: P > D, P > N, T > P i.e. T > P > D > N or T > P > N > D ...(i) From II, we have: R > Q, T > R i.e. T > R > Q ...(ii) From III, we have: T > Q, R > Q ...(iii) Clearly, from (i) and (ii), we conclude that T is taller than each one of P, N, D, R and Q. So, T is the tallest.

Question 13

Question: What does 'come' represent in a code language? Statements: 'pit na tac' means 'come and go' in that code language. 'ja ta da' means 'you are good' in that code language. 'na da rac' means 'you can come' in that code language.

Accepted Answer

To find the code for 'come', we need to have two statements which have one common code word and 'come' as the common word, which is there in I and III.

Question 14

Question: How is the girl in the photograph related to Kunal? Statements: Pointing to the photograph, Kunal said, "She is the mother of my father's only granddaughter". Kunal has no siblings. Pointing to the photograph, Kunal said, "She is the only …

Accepted Answer

From I, we conclude that the girl is either Kunal's or his brother's wife. But, according to II, Kunal has no siblings. So, from both I and II, we conclude that the girl is Kunal's wife. From III, we find that the girl is the only daughter-in-law of Kunal's mother i.e. she is Kunal's wife.

Question 15

Question: How many sons does X have? Statements: Q and U are brothers of T. R is sister of P and U. R and T are daughters of X.

Accepted Answer

From I, II and III, we conclude that all P, Q, R, T and U are children of X. Of these, Q and U are male while R and T are female. But the sex of P cannot be determined.

Question 16

In a certain code '13' means 'stop smoking' and '59' means 'injurious habit'. What is the meaning of '9' and '5' respectively in that code ? I. '157' means 'stop bad habit'. II. '839' means 'smoking is injurious'.

Accepted Answer

'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.

Question 17

On which day in January, Subhas left for Germany ? I. Subhas has so far spent 10 years in Germany. II. Subhas friend Anil left for Germany on 15th February and joined Subhas 20 days after Subhass arrival.

Accepted Answer

Clearly, even from both the given statements, we cannot conclude the exact date of Subhas leaving for Germany. .

Question 18

What is Reena's rank in the class ? I. There are 26 students in the class. II. There are 9 students who have scored less than Reena.

Accepted Answer

From I and II, we conclude that there are 16 students above Reyna in rank. Thus, Reenats rank is 17th in the class So, both the statements are necessary.

Question 19

Among five friends who is the tallest ? I. D is taller than A and C. II. B is shorter than E but taller than D.

Accepted Answer

From I, we have : D > A , D> C, From II, we have : E >B > D. Combining the above two, we get : E > B> D> (A and C). So, E is the tallest. Clearly, both the statements are needed to answer the question

Question 20

In which year was Rahul born ? I. Rahul at present is 25 years younger to his mother. II. Rahul's brother, who was born in 1964, is 35 years younger to his mother.

Accepted Answer

From both the given statements, we find that Rahul is (35 - 25) = 10 years older than his brother, who was born in 1964, So. Rahul was horn in 1954 Thus, both the given statements are needed to answer the query.

Data Sufficiency Questions