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Data Sufficiency Questions and Answers

Important Instructions
31.

What is the rank of P from the bottom in a class of 30 students ?

Statements:

1. M is third from the top and there are five students between M and P.

2. The rank of K is fourth from the bottom and there are 17 students between K and P.

Answer: C

Correct answer: Either 1 or 2 is sufficient

Statement 1 places M third from the top with five students between him and P, so P is ninth from the top and therefore twenty-second from the bottom in a class of thirty. Statement 2 places K fourth from the bottom, that is twenty-seventh from the top, with seventeen between him and P, giving P ninth from the top again. Each alone settles it.

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32.

How is 'No' coded in the code language ?

Statements:

1. 'Ne Pa Sic Lo' means 'But No None And' and 'Pa Lo Le Ne' means 'If None And But'.

2. 'Le Se Ne Sic' means 'If No None Will' and 'Le Pi Se Be' means 'Not None If All'.

Answer: A

In the two statements given in 1, the common words are 'But', 'None', 'And' and the

common code words are 'Ne', 'Pa', ,'Lo'. So, 'Ne', 'Pa' and 'Lo' are codes for 'But', 'None' and 'And'. Thus, in the first statement, 'Sic' is the code for 'No'.

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33.

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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34.

How is Divya related to Shaloo ?

Statements:

1. Divya's mother is sister of Shaloo's father.

2. Shaloo is the daughter of Divya's grandfather's only child.

Answer: C

From 1, we conclude that Divya's mother is Shaloo's aunt or Divya is Shaloo's cousin.

Now, Divya's grandfather's only child is Divya's parent. So, from 2, we conclude that Shaloo and Divya are daughters of the same parents i.e. Divya is Shaloo's sister.

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35.

On a T.V. channel, four serials A, B, C and D were screened, one on eacn day, on four consecutive days but not necessarily in that order. On which day was the serial C screened ?

Statements:

1. The first serial was screened on 23rd, Tuesday and was followed by serial D.

2. Serial A was not screened on 25th and one serial was screened between serials A and B.

Answer: D

From 1, we know that the serials were screened on 23rd, 24th, 25th and 26th.

Clearly, D was screened second i.e. on 24th, Wednesday.

From 2, we know that one serial was screened between A and B.

So, A and B were screened first and third, i.e. on 23rd and 25th. But, A was not screened on 25th.

So, A was screened on 23rd and B on 25th. Thus, C was screened on 26th, Friday.

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36.

How much was the total sale of the company ?

Statements:

1. The company sold 8000 units of product A each costing Rs. 25.

2. This company has no other product line.

Answer: D

From 1, total sale of product A = Rs. (8000 x 25) = Rs. 200000.

From 2, we know that the company deals only in product A.

This implies that sale of product A is the total sale of the company, which is Rs. 200000.

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37.

How many children are there in the row of children facing North ?

Statements:

1. Vishakha who is fifth from the left end is eighth to the left of Ashish who is twelfth from the right end.

2. Rohit is fifth to the left of Nisha who is seventh from the right end and eighteenth from the left end.

Answer: C

Since 8th to the left of 12th from the right is 20th from the right, so from 1, we know that Vishakha is 5th from left and 20th from right i.e. there are 4 children to the left and 19 to the right of Vishakha. So, there are (4 + 1 + 19) i.e. 24 children in the row.

From 2, Nisha is 7th from right and 18th from left end of the row.

So, there are (6 + 1 + 17) = 24 children in the row.

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38.

Vinod's and Javed's salaries are in the proportion of 4 : 3 respectively. What is Vinod's salary ?

Statements:

1. Javed's salary is 75% that of Vinod's salary.

2. Javed's salary is Rs 4500

Answer: B

Statement 1 is merely an interpretation of the information contained in the question.

However, Vinod's salary can be ascertained from 2 as follows : Let Vinod's and Javed's salaries be 4x and 3x respectively. Then, 3x = 4500 or x = 1500. Therefore Vinod's salary = 4x = Rs. 6000.

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39.

How many children are there between P and Q in a row of children ?

Statements:

1. P is fifteenth from the left in the row.

2. Q is exactly in the middle and there are ten children towards his right.

Answer: D

From 2, Q being in the middle, there are 10 children to his right as well as to his left. So, Q is 11th from the left. From 1, P is 15th from the left.

Thus, from both 1 and 2, we conclude that there are 3 children between P and Q.

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40.

How is X related to Y?

Statements:

1. Y says, "I have only one brother".

2. X says, "I have only one sister".

Answer: D

Correct answer: Neither 1 nor 2 is sufficient

Statement 1 tells us Y has one brother and statement 2 that X has one sister, but neither says that X and Y are related to each other at all, nor gives the sex of either. Even together they leave the relationship undetermined, since X’s sister need not be Y and Y’s brother need not be X.

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