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Data Sufficiency Questions and Answers

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81.

How many gift boxes were sold on Monday ?

Statements:

1. It was 10% more than the boxes sold on the earlier day i.e. Sunday.

2. Every third visitor to the shop purchased the box and 1500 visitors were there on Sunday

Answer: D

Correct answer: Both 1 and 2 are sufficient

Statement 2 gives Sunday’s sales: every third of 1500 visitors bought a box, so 500 were sold. Statement 1 makes Monday ten per cent more, that is 550. Neither works alone - the first is a ratio without a base and the second gives only Sunday.

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82.

In a certain code language, '297' means 'tie clip button'. Which number means 'button' in that language ?

Statements:

1. In that language, '926' means clip your tie'.

2. In that language, '175' means 'hole and button'.

Answer: C

In given statement and 1, the common words are 'tie' and 'clip' and the common codes are '2' and '9'. So, '2' and '9' are the codes for 'tie' and 'clip'. Thus, in the given statement, '7' means 'button'. In given statement and II, the common code word '7' represents the common word 'button'.

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83.

What is Sumit's position from the right end in a row of children?

Statements:

1. There are 10 children between Sumit and Rajan.

2. Rajan is twentieth from the left end of the row of children.

Answer: D

Correct answer: Neither 1 or 2 is sufficient

Statement 2 places Rajan twentieth from the left and statement 1 puts ten children between him and Sumit, which fixes Sumit’s position from the left as either ninth or thirty-first. But the total number of children in the row is never given, so the position from the right cannot be computed at all.

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84.

In a certain code, 'nop al ed' means They like flowers'. Which code word means 'flowers' ?

Statements:

1. 'id nim nop' means 'They are innocent'.

2. 'gob ots al' means 'We like roses'.

Answer: D

In the given statement and 1, the common word is 'They' and the common code word is 'nop'. So, 'nop' is the code for 'They'.

In the given statement and 2, the common word is 'like' and the common code word is 'al'. So, 'al' is the code for 'like'.

Thus, in the given statement, 'ed' is the code for 'flowers'.

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85.

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

Statements:

1. In that code language, 'Te Le Pa Na' means 'You eat many mangoes' and 'Le Na Da' means 'You sell mangoes'.

2. In the code language, 'Ge Na Se La Le' means 'They eat bananas and mangoes' and 'Ne De Le La' means 'Who others eat bananas'.

Answer: D

In 'You eat many mangoes' and 'Who others eat bananas', the common word is 'eat' and the common code word is 'Le'. So, 'Le' means 'eat'.

In 'You eat many mangoes' and 'They eat bananas and mangoes', the common code word 'Le' stands for 'eat'. So, the other common code word 'Na' stands for the other common word i.e. 'mangoes'.

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86.

In a row of five children A, B, C, D and E, who is standing in the middle ?

Statements:

1. D is to the immediate right of E and B is to the immediate left of E.

2. B is at the extreme left of the, row.

Answer: D

From 1, we have the order: B, E, D.

From 2, B is at the extreme left of the row.

Thus, considering both 1 and 2, we conclude that among the five children, D is the third and hence the middle child in the row.

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87.

How many employees of Bank Z opted for VRS ?

Statements:

1. 18% of the 950 officer cadre employees and 6% of the 1100 other cadre employees opted for VRS.

2. 28% of the employees in the age-group of 51 to 56 and 17% of the employees in all other age-groups opted for VRS.

Answer: A

From 1, we have: number of employees who opted for VRS = 18% of 950 + 6% of 1100 = 171 + 66 = 237.

From 2, we cannot get the required answer until and unless the number of employees in age-group 51 to 56 and other age-groups is known.

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88.

Among M, N, D, P and K, who earns more than only the least earner among them ?

Statements:

1. N earns more than M and P but less than only D.

2. M earns more than P who earns less than K.

Answer: D

From 1, we have: N > M, N > P, D > N. Thus, we have: D > N > M > P or D>N> P>M.

But, from 2, M earns more than P i.e. D > N > M > P. Also, since P earns less than K and N earns less than only D, so we have: D>N>K>M>P or D>N>M> K > P.

Hence, either K or M earns more than only the least earner i.e. P.

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89.

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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90.

It is 8.00 p.m., when can Hemant get next bus for Ramnagar from Dhanpur?

Statements:

1. Buses for Ramnagar leave after every 30 minutes, till 10 p.m.

2. Fifteen minutes ago, one bus has left for Ramnagar.

Answer: D

Correct answer: Both 1 and 2 are sufficient

Statement 2 says a bus left fifteen minutes ago, that is at 7.45. Statement 1 gives a thirty minute interval, so the next leaves at 8.15. Statement 1 alone gives the interval without a reference departure, and statement 2 alone gives a departure without the interval, so both are needed.

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