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Question: Among T, V, B, E and C, who is the third from the top when arranged in the descending order of their weights?
Statements:
- B is heavier than T and C and is less heavier than V who is not the heaviest.
- C is heavier than only T.
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: B > T, B > C, V > B. Thus, V is heavier than each one of B, T and C. But V is not the heaviest. So, E is the heaviest.Thus, we have the order. E>V>B>T>C or E>V>B>C>T. Clearly, B is third from the top.
Data Sufficiency problems
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- 1. Question: How is Tanya related to the man in the photograph?
Statements:
- Man in the photograph is the only son of Tanya's grandfather.
- The man in the photograph has no brothers or sisters and his father is Tanya's grandfather.
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:
From I, we conclude that the man is the only son of Tanya's grandfather i.e. he is Tanya's father or Tanya is the man's daughter.From II, we conclude that the man's father is Tanya's grandfather. Since the man has no brothers or sisters, so he is Tanya's father or Tanya is the man's daughter.
- 2. Question: How many pages of book X did Robert read on Sunday?
Statements:
- The book has 300 pages out of which two-thirds were read by him before Sunday.
- Robert read the last 40 pages of the book on the morning of 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: Both I and II are sufficient
Explanation:
From I and II, we find that Robert read (300 x 2/3) i.e. 200 pages before Sunday and the last 40 pages on Monday.This means that he read [300 - (200 + 40)] i.e. 60 pages on Sunday.
- 3. Question: On which day of the week was birthday of Sahil?
Statements:
- Sahil celebrated his birthday the very next day on which Arun celebrated his birthday.
- The sister of Sahil was born on the third day of the week and two days after Sahil was born.
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:
I does not mention the day of the week on the birthday of either Arun or Sahil.According to II, Sahil's sister was born on Wednesday and Sahil was born two days before Wednesday i.e. on Monday.
- 4. Question: How many doctors are practising in this town?
Statements:
- There is one doctor per seven hundred residents.
- There are 16 wards with each ward having as many doctors as the number of wards.
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:
From I, total number of doctors in town = (1/700 x N) , where N = total number of residents in town. But, the value of N is not known.From II, total number of doctors in town
= (Number of wards in town) x (Number of doctors in each ward)
= 16 x 16 = 256.
- 5. Question: How many children are there in the row of children facing North?
Statements:
- Vishakha who is fifth from the left end is eighth to the left of Ashish who is twelfth from the right end.
- Rohit is fifth to the left of Nisha who is seventh from the right end and eighteenth from the left end.
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:
Since 8th to the left of 12th from the right is 20th from the right, so from I, we know that Vishakha is 5th from left and 20th from right i.e. there are 4 children to the left and 19 to the right of Vishakha. So, there are (4 + 1 + 19) i.e. 24 children in the row.From II, Nisha is 7th from right and 18th from left end of the row.
So, there are (6 + 1 + 17) = 24 children in the row.
- 6. Question: Which word in the code language means 'flower'?
Statements:
- 'de fu la pane' means 'rose flower is beautiful' and 'la quiz' means 'beautiful tree'.
- 'de la chin' means 'red rose flower' and 'pa chin' means 'red tea'.
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 the two statements given in I, the code for the only common word 'beautiful' can be determined.From the two statements given in II, the code for the only common word 'red' can be determined.
In I and II, the common words are 'rose and 'flower' and the common code words are 'de' and 'la'. So, the code for 'flower' is either 'de' or 'la'.
- 7. Question: How many students in a class play football?
Statements:
- Only boys play football.
- There are forty boys and thirty girls in the class.
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:
It is not mentioned whether all the boys or a proportion of them play football.- 8. Question: Who is C's partner in a game of cards involving four players A, B, C and D?
Statements:
- D is sitting opposite to A.
- B is sitting right of A and left 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: Either I or II is sufficient
Explanation:
Clearly, each of the given statements shows that B is sitting opposite to C or B is the partner of C.- 9. Question: On a T.V. channel, four serials A, B, C and D were screened, one on eacn day, on four consecutive days but not necessarily in that order. On which day was the serial C screened?
Statements:
- The first serial was screened on 23rd, Tuesday and was followed by serial D.
- Serial A was not screened on 25th and one serial was screened between serials A and 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 I, we know that the serials were screened on 23rd, 24th, 25th and 26th.Clearly, D was screened second i.e. on 24th, Wednesday.
From II, we know that one serial was screened between A and B.
So, A and B were screened first and third, i.e. on 23rd and 25th. But, A was not screened on 25th.
So, A was screened on 23rd and B on 25th. Thus, C was screened on 26th, Friday.
- 10. Question: How is Sulekha related to Nandini?
Statements:
- Sulekha's husband is the only son of Nandini's mother.
- Sulekha's brother and Nandini's husband are cousins.
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 Sulekha is the wife of Nandini's mother's only son i.e. Nandini's brother. Thus, Sulekha is Nandini's sister-in-law.From II, we conclude that Sulekha is the cousin of Nandini's husband, which implies that Sulekha is Nandini's sister-in-law.
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- 1. Question: How is Tanya related to the man in the photograph?