Data Sufficiency Questions

Q:

What day is the fourteenth of a given month 

I. The last day of the month is a Wednesday. 

II. The third Saturday of the month was seventeenth. 

A) If the data in statement I alone are sufficient to answer the question B) If the data in statement II alone are sufficient answer the question
C) If the data either in I or II alone are sufficient to answer the question; D) If the data even in both the statements together are not sufficient to answer the question
 
Answer & Explanation Answer: B) If the data in statement II alone are sufficient answer the question

Explanation:

Statement II reveals that 17th Was a Saturday and therefore, 14th was Wednesday So, only statement II is needed 

 

 

 

 

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Q:

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

I. Javed's salary is 75% that of Vipin's salary. 

II. Javed's salary is Rs 4500. 

A) If the data in statement I alone are sufficient to answer the question B) If the data in statement II alone are sufficient answer the question
C) If the data either in I or II alone are sufficient to answer the question; D) If the data even in both the statements together are not sufficient to answer the question
 
Answer & Explanation Answer: B) If the data in statement II alone are sufficient answer the question

Explanation:

Statement I is merely an interpretation of the information contained in the question

However, Vipin's salary can be determined from statement II as follows

Let Vipin's and Javed's salaries be 4x and ax respectively.

Then, 3x = 4500 or x = 1500 Vipin's salary = 4x = Rs 6000.

Thus, II alone is sufficient. 

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Q:

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

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

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

A) If the data in statement I alone are sufficient to answer the question B) If the data in statement II alone are sufficient answer the question
C) If the data either in I or II alone are sufficient to answer the question; D) If the data in both the statements together are needed.
 
Answer & Explanation Answer: D) If the data in both the statements together are needed.

Explanation:

From I and II we find that  200 pages before Sunday

the last 40 pages on Monday. This means that he read (300 - (200 + 40)) = 60 pages on Sunday. 

 

 

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5 21114
Q:

In a certain language, 'pit nac mit' means 'red pant shirt'. Which word means 'pant' in that language ? 

I. 'mit tim nac sir' means 'he wore red pant'. 

II. 'nee jic pit' means 'shirt is dirty'. 

A) If the data in statement I alone are sufficient to answer the question B) If the data in statement II alone are sufficient answer the question
C) If the data either in I or II alone are sufficient to answer the question; D) If the data even in both the statements together are not sufficient to answer the question
 
Answer & Explanation Answer: D) If the data even in both the statements together are not sufficient to answer the question

Explanation:

Clearly, from each of the statements, we find that the code for 'pant is either 'mit' or 'nee'.

So, none of them is sufficient to answer the question.  

 

 

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6 20859
Q:

How many new year's greeting cards were sold this year in your shop ? 

I. Last year 2935 cards were sold. 

II. The number of cards sold this year was 1.2 times that of last year

A) If the data in statement I alone are sufficient to answer the question i B) If the data in statement II alone are sufficient answer the question
C) If the data either in I or II alone are sufficient to answer the question; D) If the data in both the statements together are needed.
 
Answer & Explanation Answer: D) If the data in both the statements together are needed.

Explanation:

From both the given statements, we find that the number of cards sold this year (2935 x 1.2) = 3522.

S0. both I and II together are required. 

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Q:

How many visitors saw the exhibition yesterday ?

I. Each entry pass holder can take up to three persons with him/her. 

II. In all, 243 passes were sold yesterday

A) If the data in statement I alone are sufficient to answer the question B) If the data in statement II alone are sufficient answer the question
C) If the data either in I or II alone are sufficient to answer the question; D) If the data even in both the statements together are not sufficient to answer the question
 
Answer & Explanation Answer: D) If the data even in both the statements together are not sufficient to answer the question

Explanation:

From the two statements, we find that maximum (243 x 3)  i.e, 729 visitors saw the exhibition, But the exact number cannot be determined  

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14 19938
Q:

How is D related to A? 

I. B is the brother of A. 

II. B is D's son. 

A) If the data in statement I alone are sufficient to answer the question B) If the data in statement II alone are sufficient answer the question
C) If the data either in I or II alone are sufficient to answer the question; D) If the data in both the statements together are needed.
 
Answer & Explanation Answer: D) If the data in both the statements together are needed.

Explanation:

From both the statements together, we find that D is the father of B and B is the brother of A. So,

D is the father of A.

Thus, both the given statements are needed. 

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Q:

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

I. In that language '926' means 'clip your tie'. 

II. In that language '175' means 'hole and button'. 

A) If the data in statement I alone are sufficient to answer the question B) If the data in statement II alone are sufficient answer the question
C) If the data either in I or II alone are sufficient to answer the question; D) If the data even in both the statements together are not sufficient to answer the question
 
Answer & Explanation Answer: C) If the data either in I or II alone are sufficient to answer the question;

Explanation:

Comparing the information in the question with statement 1. we find that '2' and '9' are the codes for 'tie' and 'dip'. So, '7' represents 'button'.

Thus, I alone iS sufficient.

Again, comparing the information in the question with II, WO find that the common code number '7' stands for the common word 'button'.

Thus, II alone also is sufficient. 

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