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Data Sufficiency Questions and Answers

Important Instructions
71.

How many New Year's greeting cards were sold this year in your shop ?

Statements:

1. Last year 2935 cards were sold.

2. The number of cards sold this year was 1.2 times that of last year.

Answer: D

Correct answer: Both 1 and 2 are sufficient

Statement 1 gives last year’s figure of 2935 and statement 2 the ratio of 1.2, so this year’s sales are 2935 x 1.2 = 3522. Each is useless alone - a base without a ratio, or a ratio without a base - and together they give a single number.

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72.

How many girls are taller than Shravan in his class ?

Statements:

1. When students of Shravan's class are ranked in descending order of their heights, Shravan's rank is 17th from the top among all the students and 12th among boys.

2. Shravan's rank from the bottom on the basis of height among boys is 18th and among all students, 29th.

Answer: A

From 1, we conclude that there are 16 students and 11 boys taller than Shravan.

This implies that there are 5 girls taller than Shravan.

In 2, Shravan's rank from the bottom is mentioned and to ascertain the number of girls taller than him, we need to know his rank from the top for which the number of students in the class is required, which is not given.

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73.

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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74.

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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75.

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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76.

Manoj, Prabhakar, Akash and Kamal are four friends. Who among them is the heaviest ?

Statements:

1. Prabhakar is heavier than Manoj and Kamal but lighter than Akash.

2. Manoj is lighter than Prabhakar and Akash but heavier than Kamal.

Answer: A

From 1, we have: P > M, P > K, A > P.

Thus, A > P > M > K or A > P > K > M. So, Akash is the heaviest.

From 2, 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.

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77.

How is T related to K?

Statements:

1. R's sister J has married Ts brother L, who is the only son of his parents.

2. K is the only daughter of L and J.

Answer: D

From 1, we know that L is T's brother and J's husband. Since L is the only son of his parents, T is L's sister.

From 2, we know that K is L's daughter.

Thus, from 1 and 2, we conclude that T is the sister of K's father i.e. T is K's aunt.

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78.

What will be the total weight of 10 poles, each of the same weight ?

Statements:

1. One-fourth of the weight of each pole is 5 kg.

2. The total weight of three poles is 20 kilograms more than the total weight of two poles.

Answer: C

From 1, we conclude that weight of each pole = (4x5) kg = 20 kg.

So, total weight of 10 poles = (20 x 10) kg = 200 kg.

From 2, we conclude that:

Weight of each pole = (weight of 3 poles) - (weight of 2 poles) = 20 kg.

So, total weight of 10 pojes = (20 x 10) kg = 200 kg.

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79.

B is the brother of A. How is A related to B ?

Statements:

1. A is the sister of C.

2. E is the husband of A.

Answer: C

Correct answer: Either 1 or 2 is sufficient

The question asks how A is related to B, and since B is A’s brother the answer turns entirely on A’s sex. Statement 1 calls A the sister of C, and statement 2 makes A the wife of E; each establishes that A is female and therefore B’s sister. Either alone will do.

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80.

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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