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Data Sufficiency Questions and Answers

Important Instructions
41.

How many sons does X have ?

Statements:

1. Q and U are brothers of T.

2. R is sister of P and U.

3. R and T are daughters of X.

Answer: D

Correct answer: 1, 2 and 3 together are not sufficient

The three statements together establish that R and T are X’s daughters and that Q, U and P are siblings of theirs - but the sex of P is never given, and nothing rules out further children not mentioned at all. The number of sons is therefore two or three, and cannot be settled even with all three statements.

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42.

How many doctors are practising in this town ?

Statements:

1. There is one doctor per seven hundred residents.

2. There are 16 wards with each ward having as many doctors as the number of wards.

Answer: B

From 1, total number of doctors in town = (1/700 x N) , where N = total number of residents in town. But, the value of N is not known.

From 2, total number of doctors in town

= (Number of wards in town) x (Number of doctors in each ward)

= 16 x 16 = 256.

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43.

Five persons - A, B, C, D and E are sitting in a row. Who is sitting in the middle?

Statements:

1. B is between E and C.

2. B is to the right of E.

3. D is between A and E.

Answer: D

From 1, the order is : E, B, C or C, B, E.

From 2, the order is : E, B.

From 3, the order is : A, D, E.

Combining the above three, we get the order as : A, D, E, B, C. Clearly, E is sitting in the middle.

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44.

What does 'come' represent in a code language ?

Statements:

1. 'pit na tac' means 'come and go' in that code language.

2. 'ja ta da' means 'you are good' in that code language.

3. 'na da rac' means 'you can come' in that code language.

Answer: C

Correct answer: Only 1 and 3

Statements 1 and 3 share exactly one word, ‘come’, and exactly one code, ‘na’, so ‘na’ must stand for it. Statement 2 contains neither the word nor that code and contributes nothing, so the pair 1 and 3 is both sufficient and the smallest set that works.

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45.

On which date in August was Kapil born ?

Statements:

1. Kapil's mother remembers that Kapil was born before nineteenth but after fifteenth.

2. Kapil's brother remembers that Kapil was born before seventeenth but after twelfth.

Answer: D

From 1, we conclude that Kapil was born on any one of the dates among 16th, 17th and 18th.

From 2, we conclude that Kapil was born on any one of the dates among 13th, 14th, 15th and 16th.

Thus, from both 1 and 2, we conclude that Kapil was born on 16th August.

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46.

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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Answer: D

Correct answer: Non-programmed decision

A programmed decision is one that recurs in a familiar form and can be settled by an established rule or procedure - reordering stock at a set level, for instance. An investment decision is the opposite: it is infrequent, involves large sums committed for years, faces conditions that have not arisen before, and requires judgement rather than a rule. Such decisions are taken at senior level for exactly that reason.

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48.

What does '$' mean in a code language?

Statements:

1. '5$#3' means 'flowers are really good'.

2. '7#35' means 'good flowers are available'.

Answer: D

In 1 and 2, the common codes are '5', '#' and '3' and the common words are 'flowers', 'are' and 'good'. Thus, in 1, the remaining code '$' stands for 'really'.

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49.

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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50.

T studies in which of the schools B, C, D, E and F ?

Statements:

1. T does not study in the same school as either R or J.

2. R and J study in schools D and F respectively.

Answer: D

Correct answer: Neither 1 or 2 is sufficient

Together the statements exclude schools D and F, leaving B, C and E as possibilities for T. Three candidates is not an answer, so neither statement alone nor both together determine where T studies.

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