Data Sufficiency problems
- 1. 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.
Options- A. II only
- B. II and III together
- C. I and II together (
- D. I, II and III together Discuss
Correct Answer: 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.
- 2. 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
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 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.
- 3. 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
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 II reveals that Satish met his friend Kapil on the day prior to Friday i.e, Thursday.
Thus, only II is needed.
- 4. Among four friends A, B, C and D. who is the heaviest ? I. B is heavier than A. but lighter than D. II. C is lighter than 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 have A <B< D.
From II. we have C < B
Combining( I) and (II), we can conclude that D is the heaviest
So. both the statements are needed
- 5. What is the monthly salary of Praveen ? I. Praveen gets 15% more than Sumit while Sumit gets 10% less than Lokesh. II. Lokesh's monthly salary is Its 2500.
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 : Praveen's salary s 115% of (90% of Rs 2500) = Rs 2587.50
So, both I and II are required.
- 6. 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.
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:
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.
- 7. What is Manohar's birthday ? I. Manohar's father was born on 27th May, 1948. II. Manohar is 25 years younger than his mother.
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 Manohar's birthday.
- 8. 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.
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, 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.
- 9. The Chairman of a big company visits one department on Monday of every week except for the Monday of third week of every month. When did he visit the Purchase department ? I. He visited Accounts department in the second week of September after having visited Purchase department on the earlier occasion. II. He had visited Purchase department immediately after visiting Stores department but before visiting Accounts department.
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 I alone are sufficient to answer the question
Explanation:
From statement I. we can conclude that the Chairman visited Purchase department on Monday of the first week of September. So, I alone is sufficient, The time of visit of no department is mentioned in II. which is, therefore, insufficient
- 10. What is the area of this plot ? I. The perimeter of the plot is 208 metres. II. The length is more than the breadth by 4 metres.
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:
The area of the plot can be determined from both I and II as follows .
Let the breadth of the plot be x metres Then, length = (x + 4) metres
Thus, perimeter s 208 metres 2(x + 4 + x) = 208 ,
4x =200, x = 50.
So. length =54 metres. breadth = 50 metres.
Area of the plot = 2700 m^2.
Hence, both I and II are required
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