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 Data Sufficiency Questions

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Q:

How many sons does D have ?  

I. A's father has three children. 

II. B is A's brother and son of D. 

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 both I and II together, we can conclude that A and B are the children of D, but the sex of A and the third child of D is not known. So, both the statements together are also not sufficient to answer the question. 

 

 

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Filed Under: Data Sufficiency - Verbal Reasoning - Mental Ability

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Q:

Rohit, 'Kajal, Tanmay and Suman are four friends. Who is the oldest among them ? 

I. The total age of Kajol and Tanmay together is more than that of Suman. 

II. The total age of Rohit and Kajol together is less than that of Suntan. 

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 given statements, we find that K + T > S and R - K <S.

Thus. who is oldest is not known  

 

 

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Filed Under: Data Sufficiency - Verbal Reasoning - Mental Ability

11 11586
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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Filed Under: Data Sufficiency - Verbal Reasoning - Mental Ability

7 11295
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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8 11208
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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Filed Under: Data Sufficiency - Verbal Reasoning - Mental Ability

6 11107
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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Filed Under: Data Sufficiency - Verbal Reasoning - Mental Ability

5 11070
Q:

 Among four friends A, B, C and D. who is the heaviest ? 

 I. B is heavier than A. but lighter than D. 

 II. C is lighter than B. 

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. we have A <B< D.

From II. we have C < B

Combining( I) and (II), we can conclude that D is the heaviest

So. both the statements are needed 

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Filed Under: Data Sufficiency - Verbal Reasoning - Mental Ability

3 11026
Q:

How many sons does X have ? 

I. Q and U are brothers of T. 

II. R is sister of P and U. 

III. R and T are daughters of X. 

A) I and 11 only B) I, II and III together
C) II and III together D) I, II and III together are not sufficient
 
Answer & Explanation Answer: D) I, II and III together are not sufficient

Explanation:

The information given in the three statements together is also not sufficient to answer the given question. 

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