Data Sufficiency problems
- 1. Vipin's and Javed's salaries are in the proportion of 4 : 3 respectively. What is Vipin's salary ? I. Javed's salary is 75% that of Vipin's salary. II. Javed's salary is Rs 4500.
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:
Statement I is merely an interpretation of the information contained in the question
However, Vipin's salary can be determined from statement II as follows
Let Vipin's and Javed's salaries be 4x and ax respectively.
Then, 3x = 4500 or x = 1500 Vipin's salary = 4x = Rs 6000.
Thus, II alone is sufficient.
- 2. How is D related to A? I. B is the brother of A. II. B is D's son.
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 both the statements together, we find that D is the father of B and B is the brother of A. So,
D is the father of A.
Thus, both the given statements are needed.
- 3. Rakesh scored more than Raju Ravi scored less than Rakesh Raju scored more than Ravi Ranga score more than Raju but less than Rakesh Then who is the top scorrer among them ?
Options- A. Ranga
- B. Raju
- C. Rakesh
- D. Ravi Also asked in: Bank Exams, Bank Clerk
Correct Answer: Rakesh
Explanation:
1. Rakesh
2. Ranga
3. Raju
4. Ravi
- 4. Rohit, 'Kajal, Tanmay and Suman are four friends. Who is the oldest among them ? I. The total age of Kajol and Tanmay together is more than that of Suman. II. The total age of Rohit and Kajol together is less than that of Suntan.
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 given statements, we find that K + T > S and R - K <S.
Thus. who is oldest is not known
- 5. On which day in April is Gautam's birthday ? I. Gautam was born exactly 28 years after his mother was born. II. His mother will be 55 years 4 months and 5 days on August 18 this year.
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:
Clearly, the birthday of Gautam's mother can be found out from II and then Gautam's birthday can be determined using the fact given in I. Thus, both the statements are required.
- 6. What is the price range of ordinary wall clocks ? I. The price range of ordinary wrist watches of company X is Rs 400 to Rs 600. II. The price range of ordinary wall clocks of company X is 50 percent that of their ordinary watches.
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 sufficient to answer the question Discuss
Correct Answer: If the data even in both the statements together are sufficient to answer the question
Explanation:
From both the statements together, we can conclude that the price range of ordinary wall clocks is Rs 200 to Rs 300. Thus, both I and II are required
- 7. How many sons does D have ? I. A's father has three children. II. B is A's brother and son of D.
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 both I and II together, we can conclude that A and B are the children of D, but the sex of A and the third child of D is not known. So, both the statements together are also not sufficient to answer the question.
- 8. Buses are always punctual in city X. How long, at the most, will Mr. Roy have to wait for the bus ? I. Mr. Roy has come to the bus stand at 9 A.M. II. There is a bus at 10 A.M. and possibly another bus even earlier.
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 both the given statements, we find that Mr. Roy reached the bus stand at 9 AM and a bus is sure to arrive at 10 AM. So. Mr. Roy has to wait for at the most one hour.
- 9. What time did the train leave today ? I. The train normally leaves on time. II. The scheduled departure is at 14 : 30.
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, even both the statements together do not reveal the exact time of departure of the train today.
- 10. What is Gagan's age ? I. Gagan, Vimal and Kunal are all of the siime age. II. Total age of Vimal, Kunal and Anil is 32 and Anil is as old as Vimal and Kunal together.
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:
As given in statements I and II, we have G = V = K, V + K + A = 32 and A = V + K.
Putting V + K = A in second. we get 2A = 32 or A = 16.
Thus, V + K = 16 and V = K. So, V = K = 8. Thus, R = 8
Hence, both the statements are needed.
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