Question 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: B is heavier than T and C and is less heavier than V who is not the heaviest. C is heavier than only T.

Accepted Answer

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.

Question 2

Question: Which word in the code language means 'flower'? Statements: 'de fu la pane' means 'rose flower is beautiful' and 'la quiz' means 'beautiful tree'. 'de la chin' means 'red rose flower' and 'pa chin' means 'red tea'.

Accepted Answer

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'.

Question 3

Question: How many students in a class play football? Statements: Only boys play football. There are forty boys and thirty girls in the class.

Accepted Answer

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

Question 4

Question: Who is C's partner in a game of cards involving four players A, B, C and D? Statements: D is sitting opposite to A. B is sitting right of A and left of D.

Accepted Answer

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

Question 5

Question: On a T.V. channel, four serials A, B, C and D were screened, one on eacn day, on four consecutive days but not necessarily in that order. On which day was the serial C screened? Statements: The first serial was screened on 23rd, Tuesday an…

Accepted Answer

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.

Question 6

Question: How is Sulekha related to Nandini? Statements: Sulekha's husband is the only son of Nandini's mother. Sulekha's brother and Nandini's husband are cousins.

Accepted Answer

From I, we conclude that Sulekha is the wife of Nandini's mother's only son i.e. Nandini's brother. Thus, Sulekha is Nandini's sister-in-law. From II, we conclude that Sulekha is the cousin of Nandini's husband, which implies that Sulekha is Nandini's sister-in-law.

Question 7

Question: Can Ritesh retire from office X in January 2006, with full pension benefits? Statements: Ritesh will complete 30 years of service in office X in April 2000 and desires to retire. As per office X rules, an employee has to complete minimum 3…

Accepted Answer

Clearly, the facts given in I and II contain two conditions to be fulfilled to get retirement and also indicate that Ritesh fulfills only one condition out of them.

Question 8

Question: What is the code for 'or' in the code language? Statements: 'nik sa te' means 'right or wrong', 'ro da nik' means 'he is right' and 'fe te ro' means 'that is wrong'. 'pa nik la' means 'that right man', 'sa ne pa' means 'this or that' and '…

Accepted Answer

I. In 'right or wrong' and 'he is right', the common word is 'right' and the common code word is 'nik'. So 'nik' means 'right'. In 'right or wrong' and 'that is wrong', the common word is 'wrong' and the common code word is 'te'. So, 'te' means 'wrong'. Thus, in 'right or wrong', 'sa' is the code for 'or'. II. In 'that right man' and 'this or that', the common word is 'that' and the common code word is 'pa'. So, 'pa' means 'that'. In 'this or that' and 'tell this there', the common word is 'this' and the common code word is 'ne'. So, 'ne' means 'this'. Thus, in 'this or that', 'sa' is the code for 'or'.

Question 9

Question: Madan is elder than Kamal and Sharad is younger than Arvind. Who among them is the youngest? Statements: Sharad is younger than Madan. Arvind is younger than Kamal.

Accepted Answer

As given, we have: M > K, A > S. From II, K > A. Thus, we have: M > K > A > S. So, Sharad is the youngest. From I, M > S. Thus, we have: M>K>A>S or M>A>K>S or M>A>S>K.

Question 10

Question: On which date in August was Kapil born? Statements: Kapil's mother remembers that Kapil was born before nineteenth but after fifteenth. Kapil's brother remembers that Kapil was born before seventeenth but after twelfth.

Accepted Answer

From I, we conclude that Kapil was born on any one of the dates among 16th, 17th and 18th. From II, we conclude that Kapil was born on any one of the dates among 13th, 14th, 15th and 16th. Thus, from both I and II, we conclude that Kapil was born on 16th August.

Question 11

Question: What is Gagan's age? Statements: Gagan, Vimal and Kunal are all of the same age. Total age of Vimal, Kunal and Anil is 32 years and Anil is as old as Vimal and Kunal together.

Accepted Answer

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.

Question 12

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: '157' means 'stop bad habit'. '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 13

Question: How much money do Vivek and Suman have together? Statements: Suman has 20 rupees less than what Tarun has. Vivek has 30 rupees more than what Tarun has.

Accepted Answer

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.

Question 14

Question: Among Monika, Anita, Sonal, Ratna and Tanvy, who came last for the programme? Statements: Monika came after Anita but not after Tanvy. Ratna came after Tanvy but not after Sonal.

Accepted Answer

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.

Question 15

Question: Who among P, Q, R, S and T is the lightest? Statements: R is heavier than Q and T but lighter than S. S is not the heaviest.

Accepted Answer

From I, we have: R>Q, R>T, S>R i.e. S>R>Q>T or S>R>T>Q. From II, S is not the heaviest. So, P is the heaviest. Thus, we have: P > S > R > Q > T or P > S > R > T > Q. Hence, either T or Q is the lightest.

Question 16

Question: How is T related to K? Statements: K has two sons; one of the sons is A. The mother of T has only two sons - Aand B.

Accepted Answer

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.

Question 17

Question: What is the shortest distance between Devipur and Durgapur? Statements: Durgapur is 20 kms away from Rampur. Devipur is 15 kms away from Rampur.

Accepted Answer

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.

Question 18

Question: How is A related to D? Statements: B is the brother of A. B is D's son.

Accepted Answer

From I and II, we conclude that A is either son or daughter of D.

Question 19

Question: Manoj, Prabhakar, Akash and Kamal are four friends. Who among them is the heaviest? Statements: Prabhakar is heavier than Manoj and Kamal but lighter than Akash. Manoj is lighter than Prabhakar and Akash but heavier than Kamal.

Accepted Answer

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.

Question 20

Question: Vinod's and Javed's salaries are in the proportion of 4 : 3 respectively. What is Vinod's salary? Statements: Javed's salary is 75% that of Vinod's salary. Javed's salary is Rs 4500.

Accepted Answer

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.

Data Sufficiency Questions