Data Sufficiency Questions

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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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 15261
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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6 14805
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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6 14787
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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3 14671
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 14654
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 14467
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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