Data Sufficiency problems
- 1. Who is the father of M ? I. A and B are brothers. II. Ws wife is sister of M's wife.
Options- 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 Discuss
Correct Answer: 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
- 2. 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.
Options- A. I and II together
- B. II and III together
- C. I and III together
- D. I, II and III together Discuss
Correct Answer: 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.
- 3. Is D brother of F ? I. B has two sons of which F is one. II. D's mother is married to B.
Options- 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. Discuss
Correct Answer: If the data in both the statements together are needed.
Explanation:
From I, we conclude that F is the son of B.
From II, we conclude that B's wife is D's mother.
This means that D and F are the sons of B and D is the brother of F.
So, both I and II are required.
- 4. Four subjects ? Physics, Chemistry, Mathematics and Biology were taught in four consecutive periods of one hour each starting from 8.00 a.m. At what time was the Chemistry period scheduled ? I. Mathematics period ended at 10.00 a.m. which was preceded by Biology. II. Physics was scheduled in the last period. III. Mathematics period was immediately followed by Chemistry.
Options- A. Only I
- B. Only I or Only II
- C. Only II
- D. I and II together or I and III together Discuss
Correct Answer: I and II together or I and III together
Explanation:
From I and II. we conclude that Mathematics period began at 9.00 a.m., Biology period began at 8.00 a.m. and Physics period began at 11 a.m. So. the Chemistry period began at 10.00 a.m. From I and III, we conclude that Mathematics period ended and Chemistry period began at 10.00 a.m.
- 5. Total money with Naresh and Ajay is 28 percent of that with Usman. How much money is Ajay having ? I. Usman has got Rs 75000. II. The ratio of money of Naresh to money held by Ajay is 1: 3.
Options- 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. Discuss
Correct Answer: If the data in both the statements together are needed.
Explanation:
From 1, we find that
Total money with Naresh and Ajay = Rs {(28/1OO)x 75000} = 21000.
From II, we find that money with Ajay = Rs {(3/4) x 21000 } = 15750.
So, both I and II art required
- 6. 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.
Options- A. Only I
- B. I and II together
- C. II and III together
- D. I and III together Discuss
Correct Answer: 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.
- 7. Gaurav ranks eighteenth in a class. What is his rank from the last ? I. There are 47 students in the class. II. Jatin who ranks 10th in the same class, ranks 38th from the last.
Options- 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 Discuss
Correct Answer: If the data either in I or II alone are sufficient to answer the question;
Explanation:
To find the rank from other end, we need to know the total number of students in the class. So. I is sufficient. Also: from II, we can conclude that there are (10 + 38- 1 = 47) students in the class.
So. II alone is also sufficient.
- 8. 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.
Options- 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. Discuss
Correct Answer: 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.
- 9. 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.
Options- 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 Discuss
Correct Answer: 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.
- 10. 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.
Options- 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 Discuss
Correct Answer: 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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