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- Question
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
- Correct Answer
- I alone is sufficient while II alone is not sufficient
ExplanationFrom 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.
Data Sufficiency problems
Search Results
- 1. 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.- 2. 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.- 3. 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.- 4. Question: Who among P, Q, R, S and T is the lightest?
Statements:
- R is heavier than Q and T but lighter than S.
- S is not the heaviest.
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, we have: R>Q, R>T, S>R i.e. S>R>Q>T or S>R>T>Q.From II, S is not the heaviest. So, P is the heaviest. Thus, we have: P > S > R > Q > T or P > S > R > T > Q. Hence, either T or Q is the lightest.
- 5. Question: Among Monika, Anita, Sonal, Ratna and Tanvy, who came last for the programme?
Statements:
- Monika came after Anita but not after Tanvy.
- Ratna came after Tanvy but not after Sonal.
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 I, we have the order : A, M, T.From II, we have the order: T, R, S.
Combining the above two, we get the order: A, M, T, R, S.
Thus, Sonal came last for the programme.
- 6. 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.
- 7. 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 Discuss
Correct Answer: Neither I nor II is sufficient
Explanation:
Since 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.- 8. 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.
- 9. 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.- 10. 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.
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- 1. Question: How is A related to D?