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- Question
Question: What does '$' mean in a code language?
Statements:
- '5$#3' means 'flowers are really good'.
- '7#35' means 'good flowers are available'.
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
ExplanationIn I and II, the common codes are '5', '#' and '3' and the common words are 'flowers', 'are' and 'good'. Thus, in I, the remaining code '$' stands for 'really'.
Data Sufficiency problems
Search Results
- 1. Question: What time did the train leave today?
Statements:
- The train normally leaves on time.
- The scheduled departure is at 14 : 30.
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, even both I and II together do not reveal the exact time of departure of the train today.- 2. Question: Among five friends, who is the tallest?
Statements:
- D is taller than A and C.
- B is shorter than E but taller than D.
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: D > A, D > C.From II, we have: E > B > D.
Combining the above two, we get :E > B > D > A > C or E > B > D >C > A.
Thus, E is the tallest.
- 3. Question: How many speeches were delivered in the two days' programme?
Statements:
- 18 speakers were invited to give at least one speech (maximum of two speech), out of which one-sixth of the speakers could not come.
- One-third of the speakers gave two speeches each.
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 find that number of speakers who attended programme =18-(1/6) of 18 = 15.From II, we find that one-third of 15 i.e. 5 speakers gave 2 speeches each, while each of the remaining 10 speakers delivered only one speech.
So, total number of speeches delivered = (5 x 2 + 10 x 1) = 20.
- 4. Question: In a row of five buildings - P, Q, R, S and T, which building is in the middle?
Statements:
- Buildings S and Q are at the two extreme ends of the row.
- Building ,T is to the right of building R.
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 the order : S, -, -, -, Q. From II, we have the order : R, T. Combining the above two, we get two possible orders : S, R, T, P, Q or S, P, R, T, Q. Thus, either T or R is in the middle.- 5. Question: What is the rank of P from the bottom in a class of 30 students?
Statements:
- M is third from the top and there are five students between M and P.
- The rank of K is fourth from the bottom and there are 17 students between K and P.
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 P is 9th from the top. Thus, in a class of 30 students, P ranks 22nd from the bottom.From II, we conclude that P is 22nd from the bottom.
- 6. Question: How many sons does D have?
Statements:
- A's father has three children.
- B is A's brother and son of D.
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 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 I and II together are also not sufficient to answer the question.- 7. Question: How is M related to N?
Statements:
- P, who has only two kids, M and N, is the mother-in-law of Q, who is sister-in-law of N.
- R, the sister-in-law of M, is the daughter-in-law of S, who has only two kids, M and N.
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 conclude that P is the mother of M and N, while Q is the daughter-in-law of P and sister-in-law of N. Thus, Q is M's wife and hence, M is N's brother.From II, we conclude that M and N are the children of S. Also, R is the daughter-in-law of S and sister-in-law of M. So, R is N's wife and thus, N is M's brother. Hence, M is either brother or sister of N.
- 8. Question: What is the colour of the fresh grass?
Statements:
- Blue is called green, red is called orange, orange is called yellow.
- Yellow is called white, white is called black, green is called brown and brown is called purple.
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:
The colour of fresh grass is 'green' and as given in II, 'green' is called 'brown'. So, the colour of fresh grass is 'brown'.- 9. Question: Which train did Aman catch to go to office?
Statements:
- Aman missed his usual train of 10.25 a.m. A train comes in every 5 minutes.
- Aman did not catch the 10.40 a.m. train or any train after that time.
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 Aman went to office by either 10.30 a.m. or 10.35 a.m. train.- 10. Question: On which day of the week did Hitesh visit the zoo?
Statements:
- Hitesh did not visit zoo either on Tuesday or on Thursday.
- Hitesh visited zoo two days before his mother reached his house which was day after Monday.
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:
According to I, Hitesh visited the zoo on any of the week days except Tuesday and Thursday.According to II, Hitesh's mother reached his house day after Monday i.e. on Tuesday.
Thus, Hitesh visited zoo two days before Tuesday i.e. on Sunday.
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- 1. Question: What time did the train leave today?