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Data Sufficiency Questions and Answers

Important Instructions
61.

How is 'No' coded in the code language ?

Statements:

1. 'Ne Pa Sic Lo' means 'But No None And' and 'Pa Lo Le Ne' means 'If None And But'.

2. 'Le Se Ne Sic' means 'If No None Will' and 'Le Pi Se Be' means 'Not None If All'.

Answer: A

In the two statements given in 1, 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'.

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62.

Who among P, Q, T, V and M is exactly in the middle when they are arranged in ascending order of their heights ?

Statements:

1. V is taller than Q but shorter than M.

2. T is taller than Q and M but shorter than P.

Answer: D

Correct answer: Both 1 and 2 are sufficient

Statement 1 gives M above V above Q; statement 2 gives P above T above M, with T also above Q. Joined at M they give P, T, M, V, Q from tallest to shortest, so M is in the middle. Each alone covers only three of the five and cannot identify the middle one.

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63.

Which code word stands for 'good' in the coded sentence 'sin co bye' which means 'He is good' ?

Statements:

1. In the same code language, 'co mot det' means 'They are good'.

2. In the same code language, 'sin mic bye' means 'He is honest'.

Answer: C

In the given statement and 1, the common word is 'good' and the common code word is 'co'. So, 'co' is the code for 'good'.

In the given statement and 2, 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'.

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64.

What is the numerical code for 'water' in a certain code ?

Statements:

1. The code for 'give me water' is '719'.

2. The code for 'you can bring water for me' is written as '574186'.

Answer: D

Correct answer: Neither 1 or 2 is sufficient

Each statement gives a string of digits for a phrase, but nothing indicates which digit corresponds to which word - the codes are not aligned with the words in order. The two phrases share ‘water’ and ‘me’, and their code strings share more than one digit, so even together the code for ‘water’ cannot be isolated.

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65.

How many visitors saw the exhibition yesterday ?

Statements:

1. Each entry pass holder can take up to three persons with him/her.

2. In all, 243 passes were sold yesterday.

Answer: D

Correct answer: Neither 1 or 2 is sufficient

Statement 2 gives 243 passes and statement 1 says each holder may bring up to three others. “Up to” is the difficulty: the total lies anywhere between 243 and 972, and nothing says how many actually brought companions. Both statements together give a range, not a number.

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66.

Gaurav ranks eighteenth from the top in a class. What is his rank from the last?

Statements:

1. There are 47 students in the class.

2. Jatin who ranks 10th in the same class, ranks 38th from the last.

Answer: C

From 1, we conclude that in a class of 47 students, Gaurav ranks 18th from the top and hence 30th from the last.

From 2, 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.

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67.

What is the rank of P from the bottom in a class of 30 students ?

Statements:

1. M is third from the top and there are five students between M and P.

2. The rank of K is fourth from the bottom and there are 17 students between K and P.

Answer: C

Correct answer: Either 1 or 2 is sufficient

Statement 1 places M third from the top with five students between him and P, so P is ninth from the top and therefore twenty-second from the bottom in a class of thirty. Statement 2 places K fourth from the bottom, that is twenty-seventh from the top, with seventeen between him and P, giving P ninth from the top again. Each alone settles it.

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68.

In a row of five buildings - P, Q, R, S and T, which building is in the middle ?

Statements:

1. Buildings S and Q are at the two extreme ends of the row.

2. Building ,T is to the right of building R.

Answer: D

Correct answer: Neither 1 or 2 is sufficient

Statement 1 fixes S and Q at the two ends but leaves P, R and T to fill the three middle places in any order. Statement 2 gives only a relative position for T and R. Together they still admit more than one arrangement of the middle three, so the central building cannot be named.

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69.

How many speeches were delivered in the two days' programme ?

Statements:

1. 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.

2. One-third of the speakers gave two speeches each.

Answer: D

From 1, we find that number of speakers who attended programme =18-(1/6) of 18 = 15.

From 2, 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.

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70.

Among five friends, who is the tallest ?

Statements:

1. D is taller than A and C.

2. B is shorter than E but taller than D.

Answer: D

Correct answer: Both 1 and 2 are sufficient

Statement 1 puts D above A and C; statement 2 puts E above B above D. Joined at D the order is E, B, D, then A and C, so E is the tallest. Statement 1 alone says nothing about B and E, and statement 2 alone says nothing about A and C, so neither can identify the tallest by itself.

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