Data Sufficiency Questions

Q:

How many brothers does Tarun have ? 

I. Tarun's father has three children. 

II. Tarun has two sisters. 

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 Tarun's father has three children — Tarun and his two sisters This means that Tarun has no brother.

So, both I and II are needed. 

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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:

It is 8.00 p.m., when can Hemant get next bus for Ramnagar from Dhanpur ? 

I. Buses for Ramnagar leave after every 30 minutes, till 10 p.m. 

II. Fifteen minutes ago, one bus has left for Ramnagar.  

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:

II reveals that the previous bus had left al 7.45 p.m

As given in I, the next has would leave after 30 minutes i.e, at 8.15 p.m. 

 

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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:

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:

First day of the month is Tuesday and Last day of the same month is Monday. Then which one will be that month ?

A) January B) February
C) March D) August
 
Answer & Explanation Answer: B) February

Explanation:

We know that the day repeats after every seven days. 

Given that first day of the month is Tuesday

i.e    1st - Tuesday

1+7 = 8 - Tuesday

8+7 =15- Tuesday

15+7=22-Tuesday

22+7=29-Tuesday

But given that last day of the same month is Monday

It is possible only in he month of Febuary with 28 days.

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Exam Prep: Bank Exams
Job Role: Bank PO

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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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