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- Question
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
- Correct Answer
- Both I and II are sufficient
ExplanationFrom 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.
Data Sufficiency problems
Search Results
- 1. 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.
- 2. 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.
- 3. Question: How much money do Vivek and Suman have together?
Statements:
- Suman has 20 rupees less than what Tarun has.
- Vivek has 30 rupees more than what Tarun has.
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: S = T - 20.From II, we have: V = T + 30.
Thus, from both I and II, we have: V + S = (T + 30) + (T - 20) = (2 T + 10).
So, to get the required amount, we need to know the amount that Tarun has.
- 4. Question: In a certain code, '13' means 'stop smoking' and '59' means 'injurious habit'. What do '9' and '5' mean respectively in that code?
Statements:
- '157' means 'stop bad habit'.
- '839' means 'smoking is injurious'.
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:
'59' means 'injurious habit' and '157' means 'stop bad habit' (from I). Thus, the common code number '5' stands for common word 'habit'. So, '9' represents 'injurious'. Hence, I is sufficient.Also, '59' means 'injurious habit' and '839' means 'smoking is injurious'. Thus, the common code number '9' stands for common word 'injurious'. So, '5' represents 'habit'. Thus, II is also sufficient.,
- 5. Question: What is Gagan's age?
Statements:
- Gagan, Vimal and Kunal are all of the same age.
- Total age of Vimal, Kunal and Anil is 32 years and Anil is as old as Vimal and Kunal together.
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:
As given in I and II, we have: G = V = K, V + K + A = 32 and A = V + K.Putting V + K = A in V + K + A = 32, we have: 2A = 32 or A = 16.
Thus, V + K = 16 and V = K. So, V = K = 8. Thus, G = 8.
- 6. 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.- 7. 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.- 8. 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.
- 9. 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.
- 10. 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.
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- 1. Question: Who among P, Q, R, S and T is the lightest?