Question 1

Question: What is Nitin's rank from the top in a class of forty students? Statements: There are ten students between Nitin and Deepak. Deepak is twentieth from the top.

Accepted Answer

Since there are ten students between Nitin and Deepak, so Nitin may be eleven ranks above or below Deepak. Thus, Nitin may be 9th or 31st from the top.

Question 2

Question: Which direction is Sunny facing now? Statements: If Sunny turns to his right and again turns to his right, he will be facing North. If Sunny walks some distance and turns left and again walks some distance, then his face will be towards le…

Accepted Answer

From I, we conclude that Sunny is facing South, since a person facing South shall face North on turning to his right, twice. From II, we know that after walking, Sunny shall face towards left of Dinesh facing South i.e. East and a person walking southwards shall face East on turning to 'his left. Thus, Sunny is facing South.

Question 3

Question: T studies in which of the schools B, C, D, E and F? Statements: T does not study in the same school as either R or J. R and J study in schools D and F respectively.

Accepted Answer

As given in I and II, R studies in school D and J studies in school F. So, T does not study in school D or school F. Thus, T studies in any one of the schools B, C or E.

Question 4

Question: How is Divya related to Shaloo? Statements: Divya's mother is sister of Shaloo's father. Shaloo is the daughter of Divya's grandfather's only child.

Accepted Answer

From I, we conclude that Divya's mother is Shaloo's aunt or Divya is Shaloo's cousin. Now, Divya's grandfather's only child is Divya's parent. So, from II, we conclude that Shaloo and Divya are daughters of the same parents i.e. Divya is Shaloo's sister.

Question 5

Question: How many New Year's greeting cards were sold this year in your shop? Statements: Last year 2935 cards were sold. The number of cards sold this year was 1.2 times that of last year.

Accepted Answer

From both I and II, we find that the number of cards sold this year = (2935 x 1.2) = 3522.

Question 6

Question: On which day in April is Gautam's birthday? Statements: Gautam was born exactly 28 years after his mother was born. His mother will be 55 years 4 months and 5 days on August 18 this year.

Accepted Answer

Clearly, the birthday of Gautam's mother can be found out from II and then Gautam's birthday can be determined using the fact given in I.

Question 7

Question: What is the code for 'is' in the code language? Statements: In the code language, 'shi tu ke' means 'pen is blue'. In the same code language, 'ke si re' means 'this is wonderful'.

Accepted Answer

In I and II, the common word is 'is' and the common code word is 'ke'. So, 'ke' is the code for 'is'.

Question 8

Question: Among A, B, C, D and E, who is in the middle while standing in a row? Statements: C, who is third to the left of D, is to the immediate right of A and second to the left of E. C is second to the left of E, who is not at any of the ends and…

Accepted Answer

From each one of I and II, we get the order : A, C, B, E, D. Clearly, B is in the middle.

Question 9

Question: Among A, B, C, D, E and F, who is the heaviest? Statements: A and D are heavier than B, E and F but none of them is the heaviest. A is heavier than D but lighter than C.

Accepted Answer

From I, we conclude that since none of A and D is the heaviest and each one of B, E and F is lighter than both A and D, so C is the heaviest.

Question 10

Question: How is 'No' coded in the code language? Statements: 'Ne Pa Sic Lo' means 'But No None And' and 'Pa Lo Le Ne' means 'If None And But'. 'Le Se Ne Sic' means 'If No None Will' and 'Le Pi Se Be' means 'Not None If All'.

Accepted Answer

In the two statements given in I, the common words are 'But', 'None', 'And' and the common code words are 'Ne', 'Pa', ,'Lo'. So, 'Ne', 'Pa' and 'Lo' are codes for 'But', 'None' and 'And'. Thus, in the first statement, 'Sic' is the code for 'No'.

Question 11

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: V is taller than Q but shorter than M. T is taller than Q and M but shorter than P.

Accepted Answer

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 < p=""><> Clearly, M is in the middle.

Question 12

Question: Which code word stands for 'good' in the coded sentence 'sin co bye' which means 'He is good'? Statements: In the same code language, 'co mot det' means 'They are good'. In the same code language, 'sin mic bye' means 'He is honest'.

Accepted Answer

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'.

Question 13

Question: What is the numerical code for 'water' in a certain code? Statements: The code for 'give me water' is '719'. The code for 'you can bring water for me' is written as '574186'.

Accepted Answer

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'.

Question 14

Question: How many visitors saw the exhibition yesterday? Statements: Each entry pass holder can take up to three persons with him/her. In all, 243 passes were sold yesterday.

Accepted Answer

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.

Question 15

Question: Gaurav ranks eighteenth from the top in a class. What is his rank from the last? Statements: There are 47 students in the class. Jatin who ranks 10th in the same class, ranks 38th from the last.

Accepted Answer

From I, we conclude that in a class of 47 students, Gaurav ranks 18th from the top and hence 30th from the last. From II, we conclude that there are 9 students above and 37 students below Jatin in rank. Thus, there are (9 + 1 + 37) = 47 students in the class. So, Gaurav who ranks 18th from the top, is 30th from the last.

Question 16

Question: What is the rank of P from the bottom in a class of 30 students? Statements: M is third from the top and there are five students between M and P. The rank of K is fourth from the bottom and there are 17 students between K and P.

Accepted Answer

From I, we conclude that P is 9th from the top. Thus, in a class of 30 students, P ranks 22nd from the bottom. From II, we conclude that P is 22nd from the bottom.

Question 17

Question: In a row of five buildings - P, Q, R, S and T, which building is in the middle? Statements: Buildings S and Q are at the two extreme ends of the row. Building ,T is to the right of building R.

Accepted Answer

From I, we have the order : S, -, -, -, Q. From II, we have the order : R, T. Combining the above two, we get two possible orders : S, R, T, P, Q or S, P, R, T, Q. Thus, either T or R is in the middle.

Question 18

Question: How many speeches were delivered in the two days' programme? Statements: 18 speakers were invited to give at least one speech (maximum of two speech), out of which one-sixth of the speakers could not come. One-third of the speakers gave tw…

Accepted Answer

From I, we find that number of speakers who attended programme =18-(1/6) of 18 = 15. From II, we find that one-third of 15 i.e. 5 speakers gave 2 speeches each, while each of the remaining 10 speakers delivered only one speech. So, total number of speeches delivered = (5 x 2 + 10 x 1) = 20.

Question 19

Question: Among five friends, who is the tallest? Statements: D is taller than A and C. 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 > C or E > B > D >C > A. Thus, E is the tallest.

Question 20

Question: What time did the train leave today? Statements: The train normally leaves on time. The scheduled departure is at 14 : 30.

Accepted Answer

Clearly, even both I and II together do not reveal the exact time of departure of the train today.

Data Sufficiency Questions