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- Question
Question: What is Nitin's rank from the top in a class of forty students?
Statements:
- There are ten students between Nitin and Deepak.
- Deepak is twentieth from the top.
Options- A. I alone is sufficient while II alone is not sufficient
- B. II alone is sufficient while I alone is not sufficient
- C. Either I or II is sufficient
- D. Neither I nor II is sufficient
- E. Both I and II are sufficient
- Correct Answer
- Neither I nor II is sufficient
ExplanationSince there are ten students between Nitin and Deepak, so Nitin may be eleven ranks above or below Deepak. Thus, Nitin may be 9th or 31st from the top.
Data Sufficiency problems
Search Results
- 1. Question: Vinod's and Javed's salaries are in the proportion of 4 : 3 respectively. What is Vinod's salary?
Statements:
- Javed's salary is 75% that of Vinod's salary.
- Javed's salary is Rs 4500.
Options- A. I alone is sufficient while II alone is not sufficient
- B. II alone is sufficient while I alone is not sufficient
- C. Either I or II is sufficient
- D. Neither I nor II is sufficient
- E. Both I and II are sufficient Discuss
Correct Answer: II alone is sufficient while I alone is not sufficient
Explanation:
Statement I is merely an interpretation of the information contained in the question.However, Vinod's salary can be ascertained from II as follows : Let Vinod's and Javed's salaries be 4x and 3x respectively. Then, 3x = 4500 or x = 1500. Therefore Vinod's salary = 4x = Rs. 6000.
- 2. Question: Manoj, Prabhakar, Akash and Kamal are four friends. Who among them is the heaviest?
Statements:
- Prabhakar is heavier than Manoj and Kamal but lighter than Akash.
- Manoj is lighter than Prabhakar and Akash but heavier than Kamal.
Options- A. I alone is sufficient while II alone is not sufficient
- B. II alone is sufficient while I alone is not sufficient
- C. Either I or II is sufficient
- D. Neither I nor II is sufficient
- E. Both I and II are sufficient Discuss
Correct Answer: I alone is sufficient while II alone is not sufficient
Explanation:
From I, we have: P > M, P > K, A > P.Thus, A > P > M > K or A > P > K > M. So, Akash is the heaviest.
From II, we have: P > M, A > M, M > K.
Thus, A > P > M > K or P > A > M > K. So, either Akash or Prabhakar is the heaviest.
- 3. Question: How is A related to D?
Statements:
- B is the brother of A.
- B is D's son.
Options- A. I alone is sufficient while II alone is not sufficient
- B. II alone is sufficient while I alone is not sufficient
- C. Either I or II is sufficient
- D. Neither I nor II is sufficient
- E. Both I and II are sufficient Discuss
Correct Answer: Neither I nor II is sufficient
Explanation:
From I and II, we conclude that A is either son or daughter of D.- 4. Question: What is the shortest distance between Devipur and Durgapur?
Statements:
- Durgapur is 20 kms away from Rampur.
- Devipur is 15 kms away from Rampur.
Options- A. I alone is sufficient while II alone is not sufficient
- B. II alone is sufficient while I alone is not sufficient
- C. Either I or II is sufficient
- D. Neither I nor II is sufficient
- E. Both I and II are sufficient Discuss
Correct Answer: Neither I nor II is sufficient
Explanation:
Clearly, the distance of each village from Rampur is given in I and II. But nothing about their relative positions is mentioned. So, the distance between the two villages cannot be calculated.- 5. Question: How is T related to K?
Statements:
- K has two sons; one of the sons is A.
- The mother of T has only two sons - Aand B.
Options- A. I alone is sufficient while II alone is not sufficient
- B. II alone is sufficient while I alone is not sufficient
- C. Either I or II is sufficient
- D. Neither I nor II is sufficient
- E. Both I and II are sufficient Discuss
Correct Answer: Both I and II are sufficient
Explanation:
From II, we know that T's mother has only two sons, A and B. This implies that T is the sister of both A and B. But, from I, A is also K's son. So, T is the daughter of K.- 6. Question: Which direction is Sunny facing now?
Statements:
- If Sunny turns to his right and again turns to his right, he will be facing North.
- If Sunny walks some distance and turns left and again walks some distance, then his face will be towards left of Dinesh who is facing South.
Options- A. I alone is sufficient while II alone is not sufficient
- B. II alone is sufficient while I alone is not sufficient
- C. Either I or II is sufficient
- D. Neither I nor II is sufficient
- E. Both I and II are sufficient Discuss
Correct Answer: Either I or II is sufficient
Explanation:
From I, we conclude that Sunny is facing South, since a person facing South shall face North on turning to his right, twice.From II, we know that after walking, Sunny shall face towards left of Dinesh facing South i.e. East and a person walking southwards shall face East on turning to 'his left.
Thus, Sunny is facing South.
- 7. Question: T studies in which of the schools B, C, D, E and F?
Statements:
- T does not study in the same school as either R or J.
- R and J study in schools D and F respectively.
Options- A. I alone is sufficient while II alone is not sufficient
- B. II alone is sufficient while I alone is not sufficient
- C. Either I or II is sufficient
- D. Neither I nor II is sufficient
- E. Both I and II are sufficient Discuss
Correct Answer: Neither I nor II is sufficient
Explanation:
As given in I and II, R studies in school D and J studies in school F. So, T does not study in school D or school F. Thus, T studies in any one of the schools B, C or E.- 8. Question: How is Divya related to Shaloo?
Statements:
- Divya's mother is sister of Shaloo's father.
- Shaloo is the daughter of Divya's grandfather's only child.
Options- A. I alone is sufficient while II alone is not sufficient
- B. II alone is sufficient while I alone is not sufficient
- C. Either I or II is sufficient
- D. Neither I nor II is sufficient
- E. Both I and II are sufficient Discuss
Correct Answer: Either I or II is sufficient
Explanation:
From I, we conclude that Divya's mother is Shaloo's aunt or Divya is Shaloo's cousin.Now, Divya's grandfather's only child is Divya's parent. So, from II, we conclude that Shaloo and Divya are daughters of the same parents i.e. Divya is Shaloo's sister.
- 9. Question: How many New Year's greeting cards were sold this year in your shop?
Statements:
- Last year 2935 cards were sold.
- The number of cards sold this year was 1.2 times that of last year.
Options- A. I alone is sufficient while II alone is not sufficient
- B. II alone is sufficient while I alone is not sufficient
- C. Either I or II is sufficient
- D. Neither I nor II is sufficient
- E. Both I and II are sufficient Discuss
Correct Answer: Both I and II are sufficient
Explanation:
From both I and II, we find that the number of cards sold this year = (2935 x 1.2) = 3522.- 10. Question: On which day in April is Gautam's birthday?
Statements:
- Gautam was born exactly 28 years after his mother was born.
- His mother will be 55 years 4 months and 5 days on August 18 this year.
Options- A. I alone is sufficient while II alone is not sufficient
- B. II alone is sufficient while I alone is not sufficient
- C. Either I or II is sufficient
- D. Neither I nor II is sufficient
- E. Both I and II are sufficient Discuss
Correct Answer: Both I and II are sufficient
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.
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- 1. Question: Vinod's and Javed's salaries are in the proportion of 4 : 3 respectively. What is Vinod's salary?