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Data Sufficiency Questions and Answers

Important Instructions
31.

How is Tanya related to the man in the photograph ?

Statements:

1. Man in the photograph is the only son of Tanya's grandfather.

2. The man in the photograph has no brothers or sisters and his father is Tanya's grandfather.

Answer: B

From 1, we conclude that the man is the only son of Tanya's grandfather i.e. he is Tanya's father or Tanya is the man's daughter.

From 2, we conclude that the man's father is Tanya's grandfather. Since the man has no brothers or sisters, so he is Tanya's father or Tanya is the man's daughter.

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32.

Among T, V, B, E and C, who is the third from the top when arranged in the descending order of their weights ?

Statements:

1. B is heavier than T and C and is less heavier than V who is not the heaviest.

2. C is heavier than only T.

Answer: A

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.

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33.

Which word in the code language means 'flower' ?

Statements:

1. 'de fu la pane' means 'rose flower is beautiful' and 'la quiz' means 'beautiful tree'.

2. 'de la chin' means 'red rose flower' and 'pa chin' means 'red tea'.

Answer: D

From the two statements given in 1, the code for the only common word 'beautiful' can be determined.

From the two statements given in 2, 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'.

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34.

How many students in a class play football ?

Statements:

1. Only boys play football.

2. There are forty boys and thirty girls in the class.

Answer: D

Correct answer: Neither 1 nor 2 is sufficient

Statement 1 says only boys play, which restricts who might play but gives no number. Statement 2 gives forty boys but does not say how many of them play. Together they establish only that the answer lies between nought and forty, which is not an answer.

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35.

Who is C's partner in a game of cards involving four players A, B, C and D ?

Statements:

1. D is sitting opposite to A.

2. B is sitting right of A and left of D.

Answer: C

Correct answer: Either 1 or 2 is sufficient

In a four-handed game partners sit opposite one another. Statement 1 places D opposite A, so the remaining two, B and C, are partners. Statement 2 puts B between A and D, which again leaves C opposite A and therefore partnered with... in each case the seating is determined and C’s partner identified, so either statement alone answers the question.

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36.

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:

1. The first serial was screened on 23rd, Tuesday and was followed by serial D.

2. Serial A was not screened on 25th and one serial was screened between serials A and B.

Answer: D

From 1, we know that the serials were screened on 23rd, 24th, 25th and 26th.

Clearly, D was screened second i.e. on 24th, Wednesday.

From 2, 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.

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37.

How is Sulekha related to Nandini ?

Statements:

1. Sulekha's husband is the only son of Nandini's mother.

2. Sulekha's brother and Nandini's husband are cousins.

Answer: C

From 1, 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 2, we conclude that Sulekha is the cousin of Nandini's husband, which implies that Sulekha is Nandini's sister-in-law.

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38.

Can Ritesh retire from office X in January 2006, with full pension benefits ?

Statements:

1. Ritesh will complete 30 years of service in office X in April 2000 and desires to retire.

2. As per office X rules, an employee has to complete minimum 30 years of service and attain age of 60. Ritesh has 3 years to complete age of 60.

Answer: D

Correct answer: Both 1 and 2 are sufficient

Statement 2 gives the rule - thirty years of service and age sixty - and says Ritesh is three years short of sixty, so he reaches it three years from the date of the statement. Statement 1 shows the service condition was met in April 2000. Only with both can the January 2006 date be tested against the rule, and neither alone contains both halves of it.

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39.

What is the code for 'or' in the code language?

Statements:

1. 'nik sa te' means 'right or wrong', 'ro da nik' means 'he is right' and 'fe te ro' means 'that is wrong'.

2. 'pa nik la' means 'that right man', 'sa ne pa' means 'this or that' and 'ne ka re' means 'tell this there'.

Answer: C

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'.

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40.

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

Statements:

1. Sharad is younger than Madan.

2. Arvind is younger than Kamal.

Answer: B

Correct answer: 2 alone is sufficient while 1 alone is not sufficient

The stem gives Madan above Kamal and Arvind above Sharad. Statement 2 adds Kamal above Arvind, completing the chain Madan, Kamal, Arvind, Sharad and making Sharad the youngest. Statement 1 places Sharad below Madan, which was already implied by nothing and still leaves Sharad and Kamal unordered.

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