Data Sufficiency Questions

Q:

In a certain code '13' means 'stop smoking' and '59' means 'injurious habit'. What is the meaning of '9' and '5' respectively in that code ?

I. '157' means 'stop bad habit'.

II. '839' means 'smoking is injurious'.

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:

'59' means Injurious habit' and '157' means 'stop bad habit' (from I). Thus, the common code number '5' stands for common word 'habit'. So. '9' represents 'injurious'.Hence, I is sufficient.

Also, '59' means Injurious habit' and '839' means 'smoking is injurious'. Thus, the common code number '9' stands for common word 'injurious'. So, '5' represents 'habit'. Thus, II is also sufficient. 

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Q:

How is Rakesh related to Keshav ? 

I. Tapan's wife Nisha is paternal aunt of Keshav. 

II.Rakesh is the brother of a friend of Nisha. 

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, both the statements together are not sufficient to answer the question. 

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Q:

Which day of the last week did Satish meet Kapil at Kapil's residence ? 

I. Kapil was out of town from Monday to Wednesday. lie returned on Thursday morning. 

II. On Friday night Satish telephoned his friend to inform that only yesterday he had got approval of Kapil after personally explaining to him all the details 

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 Satish met his friend Kapil on the day prior to Friday  i.e, Thursday.

Thus, only II is needed. 

 

 

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Q:

How many gift boxes were sold on Monday ?  

I. It was 10% more than the boxes sold on the earlier day i.e. Sunday. 

II. Every third visitor to the shop purchased the box and 1500 visitors were there on Sunday  

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 II. we can conclude that 500 boxes were sold on Sunday

 From I. we find that number of boxes sold on Monday 500 +10% of 500 = 550.  

 

 

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Q:

What is the total monthly salary of Vasu ? 

I. Vasu's basic salary is Rs 100 more than Rajan's salary who also serves in Vasu's company. 

II. Other allowances drawn by Rajan besides his basic salary are Rs 2000 per month which is Rs 50 less than Vasu's salary.

III. Rajan's basic salary is Rs 1550 per month. 

A) II only B) II and III together
C) I and II together ( D) I, II and III together
 
Answer & Explanation Answer: D) I, II and III together

Explanation:

From III, we have : Rajan's basic salary = Rs 1550.

From I,   we have : Vasu's basic salary = Rs (1550 + 100) =  Rs 1650.

From II.  we have : Rajan's other allowances = RS 2000

             and Vasu's other allowances = Rs 2050.

Vasu's monthly salary is (1650 + 2050) = Rs 3700.

Thus, all the three statements are required. 

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Q:

How much amount Ronnie required to pay for the new car in the buy-back scheme ?

I. The cost of the new car was three times the cost price of his old car. 

II. His old car was valued at Its 25000 under buy-back scheme. 

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 conclude that the price of the new car is Rs (25000 * 3) i.e. Rs 75000

So, Ronnie had to pay Rs (75000 - 25000) i.e. Its 50000.

Thus, both I and II are required 

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Q:

A, B, C, D and E are sitting in a row. B is between A and K Who among them is in the middle ? 

I. A is left of 13 and right of D. 

II.C is at the right end. 

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:

Clearly, we have the order : A. a E. From I, we have the order : D, A, B. E.

From II, we get the complete sequence as D, A, B. E, C.

Clearly. B is in the middle. So, both I and II are required. 

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Q:

Who among Siddhartha, Nikunj, Vipul and Mukul is the youngest ? 

I. Vipul is younger than Mukul but older than Siddhartha and Nikunj. 

II. Mukul is the oldest. 

III. Siddhartha is older than Nikuw. 

A) Only I B) I and II together
C) II and III together D) I and III together
 
Answer & Explanation Answer: D) I and III together

Explanation:

From I, we have : M>V, V> S, V > N.

From II. we have : Mukul is the oldest.

From 111, we have : S > N Combining (I) and (III) we get : M> V, V >S>N or M > V> S > N.

Clearly, Nikunj is the youngest. 

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