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Data Sufficiency Questions and Answers

Important Instructions
51.

In a certain code, '13' means 'stop smoking' and '59' means 'injurious habit'. What do '9' and '5' mean respectively in that code ?

Statements:

1. '157' means 'stop bad habit'.

2. '839' means 'smoking is injurious'.

Answer: C

'59' means 'injurious habit' and '157' means 'stop bad habit' (from 1). Thus, the common code number '5' stands for common word 'habit'. So, '9' represents 'injurious'. Hence, 1 is sufficient.

Also, '59' means 'injurious habit' and '839' means 'smoking is injurious'. Thus, the common code number '9' stands for common word 'injurious'. So, '5' represents 'habit'. Thus, 2 is also sufficient.

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52.

Which train did Aman catch to go to office ?

Statements:

1. Aman missed his usual train of 10.25 a.m. A train comes in every 5 minutes.

2. Aman did not catch the 10.40 a.m. train or any train after that time.

Answer: D

Correct answer: Neither 1 or 2 is sufficient

Statement 1 says he missed the 10.25 and that trains run every five minutes; statement 2 says he did not take the 10.40 or any later one. Together those leave the 10.30 and the 10.35, and nothing distinguishes between them. The two statements narrow the answer to two possibilities, which is not an answer.

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53.

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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54.

Gaurav ranks eighteenth from the top in a class. What is his rank from the last?

Statements:

1. There are 47 students in the class.

2. Jatin who ranks 10th in the same class, ranks 38th from the last.

Answer: C

From 1, we conclude that in a class of 47 students, Gaurav ranks 18th from the top and hence 30th from the last.

From 2, we conclude that there are 9 students above and 37 students below Jatin in rank. Thus, there are (9 + 1 + 37) = 47 students in the class.

So, Gaurav who ranks 18th from the top, is 30th from the last.

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55.

How many children does M have ?

Statements:

1. H is the only daughter of X who is wife of M.

2. K and J are brothers of M.

Answer: D

Correct answer: Neither 1 nor 2 is sufficient

Statement 1 establishes that H is M’s only daughter, which leaves the number of sons entirely open. Statement 2 concerns M’s own brothers and says nothing about M’s children at all. Together they still give no count of the sons, so the question cannot be answered from either statement or from both.

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56.

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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57.

What time did the train leave today ?

Statements:

1. The train normally leaves on time.

2. The scheduled departure is at 14 : 30.

Answer: D

Correct answer: Neither 1 or 2 is sufficient

Statement 2 gives the scheduled time and statement 1 says the train normally leaves on time - but “normally” is not “always”, and neither statement says what happened today. The actual departure time therefore remains unknown even with both.

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58.

How is M related to N ?

Statements:

1. B is the daughter of M and sister of Q.

2. N is the son of K who is B's grandfather.

Answer: D

From 2, we know that N is K's son and K is B's grandfather. Thus, N is the son of B's grandfather i.e. N is either father or uncle of B.

From 1, B is the daughter of M. So, M is either father or mother of B.

Clearly, the correct relationship between M and N cannot be deduced.

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59.

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

Statements:

1. In the code language, 'sky is clear' is written as 'de ra fa'.

2. In the same code language, 'make it clear' is written as 'de ga jo'.

Answer: D

Correct answer: Neither 1 nor 2 is sufficient

The two statements share only the word ‘clear’, and comparing them shows ‘de’ must be its code. That leaves ‘ra’ and ‘fa’ standing for ‘sky’ and ‘is’ in some order, with nothing to distinguish them. A third statement containing one of those two words but not the other would be needed.

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60.

Among Monika, Anita, Sonal, Ratna and Tanvy, who came last for the programme ?

Statements:

1. Monika came after Anita but not after Tanvy.

2. Ratna came after Tanvy but not after Sonal.

Answer: D

Correct answer: Both 1 and 2 are sufficient

Statement 1 gives Anita before Monika before Tanvy; statement 2 gives Tanvy before Ratna before Sonal. Joined at Tanvy they yield the full order Anita, Monika, Tanvy, Ratna, Sonal, so Sonal came last. Each statement alone covers only three of the five and cannot identify the last.

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