Data Sufficiency Moderate Questions and Answers

Data Sufficiency

Did 300 candidates appear for the written examination for admission into College X?
I. The principal of the college correctly mention that the number of candidates who had appeared for the examination was more than 200.
II. According to a statistical report, only 175 candidates could qualify the examination.

1. if the data in Statement I alone are sufficient to answer the question, while the data in Statement II alone are not sufficient to answer the question.
1. if the data in Statements II alone are sufficient to answer the question, while the data in Statement I alone are not sufficient to answer the question.
1. if the data either in Statement I alone or in Statement II alone are sufficient to answer the question.
1. if the data in both the Statement I and II together are not sufficient to answer the question.
1. if the data in both the Statement I and II together are necessary to answer the question.

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Even by using both the statements together we can only determine that number of candidates appeared was more than 200.

Correct Option: D

Even by using both the statements together we can only determine that number of candidates appeared was more than 200.

How many brother does A have?
I. A, who is B's brother, has two siblings.
II. D is brother of A and is youngest in the family.

1. if the data in Statement I alone are sufficient to answer the question, while the data in Statement II alone are not sufficient to answer the question.
1. if the data in Statements II alone are sufficient to answer the question, while the data in Statement I alone are not sufficient to answer the question.
1. if the data either in Statement I alone or in Statement II alone are sufficient to answer the question.
1. if the data in both the Statement I and II together are not sufficient to answer the question.
1. if the data in both the Statement I and II together are necessary to answer the question.

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Even by using both the statements together we cannot determine the gender of B. So, A can have one or two brothers.

Correct Option: D

Even by using both the statements together we cannot determine the gender of B. So, A can have one or two brothers.

How for is point P from Point Q? (All the point lie on a straight line.)
I. Point T is exactly midway between Point P and Q.
Point T is 5 km towards the west of Point R.
II. Point Q is 2 km towards the east of Point R.

1. if the data in Statement I alone are sufficient to answer the question, while the data in Statement II alone are not sufficient to answer the question.
1. if the data in Statements II alone are sufficient to answer the question, while the data in Statement I alone are not sufficient to answer the question.
1. if the data either in Statement I alone or in Statement II alone are sufficient to answer the question.
1. if the data in both the Statement I and II together are not sufficient to answer the question.
1. if the data in both the Statement I and II together are necessary to answer the question.

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Using I:
T 5 R and T is midway between P and Q
Using II:
R 2 Q
Using both:
P 7 T 5 R 2 Q

Correct Option: E

Using I:
T 5 R and T is midway between P and Q
Using II:
R 2 Q
Using both:
P 7 T 5 R 2 Q

Direction: Each of the questions below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and answer the question.

On which floor of the building does G stay? (the building has five floor 1, 2, 3, 4, 5.)
I. Only the even-number floors are occupied and G does not stay on the second floor.
II. G does not stay on an odd-numbered floor.

1. if the data in Statement I alone are sufficient to answer the question, while the data in Statement II alone are not sufficient to answer the question.
1. if the data in Statements II alone are sufficient to answer the question, while the data in Statement I alone are not sufficient to answer the question.
1. if the data either in Statement I alone or in Statement II alone are sufficient to answer the question.
1. if the data in both the Statement I and II together are not sufficient to answer the question.
1. if the data in both the Statement I and II together are necessary to answer the question.

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I. Using I only, we cannot determine that G stays on 4^th floor.

Correct Option: A

I. Using I only, we cannot determine that G stays on 4^th floor.

How many days did Raju take to complete his assignment?
I. Mohit correctly remembers that Raju took more than 3 days less than 9 days to complete his assignment.
II. Mina correctly remembers that Raju took more than 7 days less than 11 days to complete his assignment.

1. if the data in Statement I alone are sufficient to answer the question, while the data in Statement II alone are not sufficient to answer the question.
1. if the data in Statements II alone are sufficient to answer the question, while the data in Statement I alone are not sufficient to answer the question.
1. if the data either in Statement I alone or in Statement II alone are sufficient to answer the question.
1. if the data in both the Statement I and II together are not sufficient to answer the question.
1. if the data in both the Statement I and II together are necessary to answer the question.

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I. Raju can take 4 to 8 days to complete the work.
II. Raju can take 8 to 10 days to complete the work.
Using both the statements together we can determine that Raju took 8 days to complete the work.

Correct Option: E

I. Raju can take 4 to 8 days to complete the work.
II. Raju can take 8 to 10 days to complete the work.
Using both the statements together we can determine that Raju took 8 days to complete the work.

Data Sufficiency

Data Sufficiency

Data Interpretation

Correct Option: D

Correct Option: D

Correct Option: E

Correct Option: A

Correct Option: E