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Data Sufficiency Questions and Answers

Important Instructions
81.

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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82.

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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83.

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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84.

What is Sachin's rank from the top in a class of 25 students ?

Statements:

1. Sachin ranks three ranks above Amit who ranks 18th from the bottom.

2. Sachin's rank from the top is two ranks below Deepti who ranks 23rd from the bottom.

Answer: C

From 1, We know that in a class of 25 students, Amit ranks 18th from the bottom and 8th from the top.

Sachin is three ranks above Amit and so, Sachin ranks 5th from the top.

From 2, Deepti ranks 23rd from the bottom and hence, 3rd from the top. Sachin, being 2 ranks below Deepti, is, thus, 5th from the top.

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85.

Who among P, Q, R, S and T is the lightest?

Statements:

1. R is heavier than Q and T but lighter than S.

2. S is not the heaviest.

Answer: D

Correct answer: Neither 1 nor 2 is sufficient

Statement 1 puts both Q and T below R without ordering them against each other, so the lightest is one of the two but which is unknown. Statement 2 concerns only the top of the order. Together they still leave Q and T unranked, so the lightest cannot be named.

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86.

On which day of the week was birthday of Sahil ?

Statements:

1. Sahil celebrated his birthday the very next day on which Arun celebrated his birthday.

2. The sister of Sahil was born on the third day of the week and two days after Sahil was born.

Answer: B

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

Statement 2 places the sister’s birth on the third day of the week, Tuesday, and two days after Sahil’s, so Sahil was born on Sunday. Statement 1 relates Sahil’s birthday to Arun’s without fixing either to a day of the week, so it gives no answer on its own.

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87.

On which day of the week did Hitesh visit the zoo ?

Statements:

1. Hitesh did not visit zoo either on Tuesday or on Thursday.

2. Hitesh visited zoo two days before his mother reached his house which was day after Monday.

Answer: B

According to 1, Hitesh visited the zoo on any of the week days except Tuesday and Thursday.

According to 2, Hitesh's mother reached his house day after Monday i.e. on Tuesday.

Thus, Hitesh visited zoo two days before Tuesday i.e. on Sunday.

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88.

How is X related to Y ?

Statements:

1. Y and Z are children of D who is wife of X.

2. R's sister X is married to Ys father.

Answer: C

Correct answer: Either 1 or 2 is sufficient

Statement 1 makes D the wife of X and Y her child, so X is Y’s father. Statement 2 says X is married to Y’s father, which would make X Y’s mother. Each statement alone determines the relationship, so either is sufficient - and the two happen to disagree on X’s sex, which the question does not ask about.

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89.

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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90.

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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