# Data Sufficiency Questions

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:

What time did the train leave today ?

I. The train normally leaves on time.

II. The scheduled departure is at 14 : 30.

 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 both the statements together do not reveal the exact time of departure of the train today.

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Q:

At what time did Sonali leave her home for office?

I. Sonali received a phone call at 9:15  a.m. at her home.

II. Sonali's car reached office at 10:15 a.m.  45 minutes after she left her residence.

 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:

From statement II, we conclude that Sonali left her home 45 minutes before 10.15 a.m.  i.e, 9.30 a.m.

Thus, only Ills 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

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:

Who is the father of M ?

I. A and B are brothers.

II. Ws wife is sister of M's wife.

 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 II, we conclude that B is the brother-in law of M. So, even from both the statements, we can't find out who is the father of M

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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:

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

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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Q:

In which year was Sanjay born ?

I. Sanjay is six years older than Gopal.

II. Gopal's brother was born in 1982.

III. Sanjay's brother as two years younger than Gopal's brother who was eight years younger than Gopal.

 A) I and II together B) II and III together C) I and III together D) I, II and III together

Explanation:

From II, we know that Copal's brother was born in 1982. From III, we find that Gopal's brother was 8 years younger to him i.e. Copal was born in 1974. From I, we find that Sanjay is 6 years older than Gopal Thus. Sanjay was born in 1968. So. all the three statements are required.