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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19 19958
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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17 18918
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 18476
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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16 17576
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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8 16715
Q:

In a code, 'lee pee tin' means 'Always keep smiling'. What is the code for ? 

I. 'tin lut lee' means 'Always keep left'.

II. 'dee pee' means 'Rose smiling. 

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 I. we find that 'tin' and 'lee' are the codes for 'always' and 'keep'.

So. 'pee' represents 'smiling' Thus, I alone is sufficient Am.

comparing the information in the question with II, we find that the common code word 'pee' stands for the common word 'smiling'.

Thus, II alone is also sufficient 

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15 16311
Q:

On which day in January, Subhas left for Germany ? 

I. Subhas has so far spent 10 years in Germany. 

II. Subhas friend Anil left for Germany on 15th February and joined Subhas 20 days after Subhass arrival. 

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, even from both the given statements, we cannot conclude the exact date of Subhas leaving for Germany. . 

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42 16308
Q:

What is Gagan's age ? 

I. Gagan, Vimal and Kunal are all of the siime age. 

II. Total age of Vimal, Kunal and Anil is 32 and Anil is as old as Vimal and Kunal together. 

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:

As given in statements I and II, we have G = V = K, V + K + A = 32 and A = V + K.

Putting V + K = A in second. we get 2A = 32 or A = 16.

Thus, V + K = 16 and V = K. So, V = K = 8. Thus, R = 8

Hence, both the statements are needed. 

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