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Data Sufficiency Questions and Answers

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61.

The Chairman of a big company visits one department on Monday of every week except for the Monday of third week of every month. When did he visa/the Purchase department ?

Statements:

1. He visited Accounts department in the second week of September after having visited Purchase department on the earlier occasion.

2. He had visited Purchase department immediately after visiting Stores department but before visiting Accounts department.

Answer: A

Correct answer: 1 alone is sufficient while 2 alone is not sufficient

The chairman visits on every Monday except the third of each month. Statement 1 places the Accounts visit in the second week of September and says Purchase was the visit immediately before, which must therefore have been the Monday of the first week of September. Statement 2 gives only the order of three departments with no dates at all.

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62.

What is Suman's rank from the top in a class of forty students ?

Statements:

1. Suman is 3 ranks below Deepak from the top.

2. Deepak's rank from the bottom is 23.

3. Suman is 3 ranks above Deepak from the bottom.

Answer: D

From 2, we conclude that in a class of 40, Deepak ranks 23rd from the bottom i.e. 18th from the top.

From 1 and 2, we find that Suman is 3 ranks below 18th rank from the top i.e. she ranks 21st from the top.

From 2 and 3, we find that Suman is 3 ranks above 23rd rank from the bottom

i.e. she ranks 20th from the bottom or 21st from the top.

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63.

What is the colour of the fresh grass ?

Statements:

1. Blue is called green, red is called orange, orange is called yellow.

2. Yellow is called white, white is called black, green is called brown and brown is called purple.

Answer: B

Correct answer: 2 alone is sufficient while 1 alone is not sufficient

Fresh grass is green, so the question is what green is called in this language. Statement 2 says green is called brown, which answers it directly. Statement 1 renames blue, red and orange but never mentions green, so it leaves the question untouched.

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64.

Which direction is Sunny facing now ?

Statements:

1. If Sunny turns to his right and again turns to his right, he will be facing North.

2. If Sunny walks some distance and turns left and again walks some distance, then his face will be towards left of Dinesh who is facing South.

Answer: D

From 1, we conclude that Sunny is facing South, since a person facing South shall face North on turning to his right, twice.

From 2, we know that after walking, Sunny shall face towards left of Dinesh facing South i.e. East and a person walking southwards shall face East on turning to 'his left.

Thus, Sunny is facing South.

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65.

In which year was Sanjay born ?

Statements:

1. Sanjay is six years older than Gopal.

2. Gopal's brother was born in 1982.

3. Sanjay's brother is two years younger than Gopal's brother who was eight years younger than Gopal.

Answer: D

From 2, we know that Copal's brother was born in 1982.

From 3, we find that Gopal's brother was 8 years younger to him i.e. Gopal was born in 1974.

From 1, we find that Sanjay is 6 years older than Gopal. Thus, Sanjay was born in 1968.

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66.

In which year was Rahul born ?

Statements:

1. Rahul at present is 25 years younger to his mother.

2. Rahul's brother, who was born in 1964, is 35 years younger to his mother.

Answer: D

Correct answer: Both 1 and 2 are sufficient

Statement 2 fixes the mother’s birth year: the brother was born in 1964 and is 35 years younger, so she was born in 1929. Statement 1 then places Rahul 25 years after her, in 1954. Neither works alone - the first gives only a gap with no anchor, and the second says nothing about Rahul - so both are needed.

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67.

What does 'nip' stand for in a code language ?

Statements:

1. In the code language, 'that is very beautiful' is written as 'se nip sre num'

2. In the same code language, 'my house is beautiful' is written as 'nip sto sre tip'.

Answer: D

In 1 and 2, the common codes are 'nip' and 'sre' and the common words are 'is' and 'beautiful' So, 'nip' and 'sre' are the codes for 'is' and 'beautiful'. But, the exact word for 'nip' cannot be found out.

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68.

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

Statements:

1. In the code language, 'shi tu ke' means 'pen is blue'.

2. In the same code language, 'ke si re' means 'this is wonderful'.

Answer: D

Correct answer: Both 1 and 2 are sufficient

The two statements share only the word ‘is’, and they share only the code ‘ke’, so ‘ke’ must be its code. Either statement alone leaves three words against three codes with no way to pair them, so both are needed - and the common word is what makes the comparison work.

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69.

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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70.

How many pages of book X did Robert read on Sunday ?

Statements:

1.The book has 300 pages out of which two-thirds were read by him before Sunday.

2. Robert read the last 40 pages of the book on the morning of Monday.

Answer: D

Correct answer: Both 1 and 2 are sufficient

Statement 1 gives 300 pages with 200 read before Sunday, leaving 100. Statement 2 says the last 40 were read on Monday, so 60 were read on Sunday. Statement 1 alone leaves the remaining 100 undivided between Sunday and Monday, and statement 2 alone gives no total, so both are needed.

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