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- Question
- Amonjg P Q, R, S and T sitting in a straight line, facing North, who sits exactly in the middle of the line?
I. P sits third to the left of S.T is an immediate neighbour of P as well as R.
II. T sits second to the left of S. Q is not an immediate neighbour of Tor S.
Options- A. if the data in Statement I alone are sufficient to answer the question, while the data in Statement II alone are not sufficient to answer the question.
- B. if the data in Statements II alone are sufficient to answer the question, while the data in Statement I alone are not sufficient to answer the question.
- C. if the data either in Statement I alone or in Statement II alone are sufficient to answer the question.
- D. if the data given in both the Statement I and II together are not sufficient to answer the question.
- Correct Answer
- if the data in Statement I alone are sufficient to answer the question, while the data in Statement II alone are not sufficient to answer the question.
ExplanationFrom I: There are two possible arrangetments.
(a) P T R S
(B) P T R S
So, either T or R
From II: There are two possible arrangements.
(a) Q T S
(b) T S Q
Again either T or S
Combining I and II - 1. Which Bag amongst P, Q, R, S and T is the heaviest?
I. Bag Q is heavier than R and S. Bag T is heavier than only bag P.
II. Only three bags are lighter than R. The weight of bag Q is 50 kg, which is 2 kg more than bag R.
Options- A. if the data in Statement I alone are sufficient to answer the question, while the data in Statement II alone are not sufficient to answer the question.
- B. if the data in Statements II alone are sufficient to answer the question, while the data in Statement I alone are not sufficient to answer the question.
- C. if the data either in Statement I alone or in Statement II alone are sufficient to answer the question.
- D. if the data given in both the Statement I and II together are not sufficient to answer the question. Discuss
- 2. Are all the five friends - A, B, C, D and E - who are seated around a circular table facing the centre?
I. A sites to the left of B. B faces the centre. D and E are immediate neighbours of each other. C sits second to the right of E.
II. D sits second to right of C. C faces the centre. Both E and A are immediate neighbours of D. B sits second to the right of A.
Options- A. if the data in Statement I alone are sufficient to answer the question, while the data in Statement II alone are not sufficient to answer the question.
- B. if the data in Statements II alone are sufficient to answer the question, while the data in Statement I alone are not sufficient to answer the question.
- C. if the data either in Statement I alone or in Statement II alone are sufficient to answer the question.
- D. if the data given in both the Statement I and II together are not sufficient to answer the question. Discuss
- 3. Is it 9 o'clock now?
I. After half an hour, the minute and the hour hands of the clock will make an angle of exactly 90° with each other.
II. Exactly 15 minutes ago, the minute and the hour hands of the clock coincided with each other.
Options- A. if the data in Statement I alone are sufficient to answer the question, while the data in Statement II alone are not sufficient to answer the question.
- B. if the data in Statements II alone are sufficient to answer the question, while the data in Statement I alone are not sufficient to answer the question.
- C. if the data either in Statement I alone or in Statement II alone are sufficient to answer the question.
- D. if the data given in both the Statement I and II together are not sufficient to answer the question. Discuss
- 4. Is granddaughter of B?
B is the father of M. M is the sister of T. T is the mother of F.
II. S is the son F. V is the daughter of F.R is is the brother of T.
Options- A. if the data in Statement I alone are sufficient to answer the question, while the data in Statement II alone are not sufficient to answer the question.
- B. if the data in Statements II alone are sufficient to answer the question, while the data in Statement I alone are not sufficient to answer the question.
- C. if the data either in Statement I alone or in Statement II alone are sufficient to answer the question.
- D. if the data given in both the Statement I and II together are not sufficient to answer the question. Discuss
- 5. What is the minimum passing percentage in a test?
I. Raman scored 25% marks in the test and Sunil scored 288 marks which is 128 more than Raman.
II. Raman scored 64 marks less than the minimum passing marks.
Options- A. If the data in Statement I alone are sufficient to answer the question, while the data in Statement II alone are not sufficient to answer the question.
- B. If the data in Statement II alone are sufficient to answer the question, while the data in Statement I alone are not sufficient to answer the question.
- C. if the data in either Statement I alone or in Statement II alone are sufficient to answer the question.
- D. If the data in both the Statements I and II are not sufficient to answer the question. Discuss
- 6. Are all the five friends - A, B, C, D and E - sitting around a circular table facing the centre, who sits to the immediate right of A?
I. E sits to third to the right of D. A is not an immediate neighbours of D?
II. C sits to second left of B. A is not an immediate neighbours of D.
Options- A. if the data in Statement I alone are sufficient to answer the question, while the data in Statement II alone are not sufficient to answer the question.
- B. if the data in Statements II alone are sufficient to answer the question, while the data in Statement I alone are not sufficient to answer the question.
- C. if the data either in Statement I alone or in Statement II alone are sufficient to answer the question.
- D. if the data given in both the Statement I and II together are not sufficient to answer the question. Discuss
- 7. Who among P, Q, R, S and T is the tallest?
I. P is taller than Sand T but shorted than R, Q is taller than S.
II. T is taller than S. P is not the tallest.
Options- A. if the data in Statement I alone are sufficient to answer the question, while the data in Statement II alone are not sufficient to answer the question.
- B. if the data in Statements II alone are sufficient to answer the question, while the data in Statement I alone are not sufficient to answer the question.
- C. if the data either in Statement I alone or in Statement II alone are sufficient to answer the question.
- D. if the data given in both the Statement I and II together are not sufficient to answer the question. Discuss
- 8. Is 'EAST'the word formed after performing the following operation on a word containing there four letters?
I. There is only one letter between A and T, E is to the left of A.
II. The word does not begin with T. There is only one letter between E and S, T is not an immediate neighbours of E.
Options- A. if the data in Statement I alone are sufficient to answer the question, while the data in Statement II alone are not sufficient to answer the question.
- B. if the data in Statements II alone are sufficient to answer the question, while the data in Statement I alone are not sufficient to answer the question.
- C. if the data either in Statement I alone or in Statement II alone are sufficient to answer the question.
- D. if the data given in both the Statement I and II together are not sufficient to answer the question. Discuss
- 9. Among P Q, R, S T and V, each lives on a different floor of six-story building having its six floors numbered one to six (the ground floor is numbered 1, the floor above it, number 2, and so on, and the topmost floor is numbered 6). Who live on the topmost floor?
I. There is only floor between the Floors on which R and Q live. P lives on an even-numbered floor.
II. T does not live on an even-numbered floor. Q lives on an even-numbered floor. Q does not live on the topmost floor.
III. S lives on an even-numbered floor. There are two floor between the floors on which S and P live. T lives on a floor immediately above R's floor.
Options- A. if the data in Statement I alone are sufficient to answer the question, while the data in Statement II alone are not sufficient to answer the question.
- B. if the data in Statements II alone are sufficient to answer the question, while the data in Statement I alone are not sufficient to answer the question.
- C. if the data either in Statement I alone or in Statement II alone are sufficient to answer the question.
- D. if the data given in both the Statement I and II together are not sufficient to answer the question. Discuss
- 10. Point D is in which direction with respect to Point B?
I. Point A is to the west of Point B. Point C is to The north of Point B. Point D is to the south of Point C.
II. Point G is to the south of Point D. Point G is 4 km from Point B. Point D is 9m from point B.
III. Point A is to the west of Point B. Point B is exactly midway between Point E, Point D is to the west of Point F.
Options- A. if the data in Statement I alone are sufficient to answer the question, while the data in Statement II alone are not sufficient to answer the question.
- B. if the data in Statements II alone are sufficient to answer the question, while the data in Statement I alone are not sufficient to answer the question. if
- C. the data either in Statement I alone or in Statement II alone are sufficient to answer the question.
- D. if the data given in both the Statement I and II together are not sufficient to answer the question. Discuss
Data Sufficiency problems
Search Results
Correct Answer: if the data either in Statement I alone or in Statement II alone are sufficient to answer the question.
Explanation:
Using Statement I:
Q > R > S > T > P,
Q is the heaviest
Using Statement II:
Q > R > S > T > P,
Q is the heaviest.
Correct Answer: if the data in Statements II alone are sufficient to answer the question, while the data in Statement I alone are not sufficient to answer the question.
Explanation:
Using Statement I: We cannot determine if all the fiends are facing the centre.
A is the facing outside of C is facing the centre of circle. So, all friends are not facing the centre.
Correct Answer: if the data either in Statement I alone or in Statement II alone are sufficient to answer the question.
Explanation:
Using Statement I: If the time is 9 o'clock now then after 30 minutes ie at 9:30 the angle between the minute and hour hand cannot be 90°. So, now time is not 9 o'clock.
Using Statement II: If the time is 9 o'clock now then after 15 minutes before the hour and minute hand of the clock can never coincide with each other Instead they will have an angle of 7.5°. So, the time now is not 90°' clock.
Correct Answer: if the data given in both the Statement I and II together are not sufficient to answer the question.
Explanation:
Using Statement I: The gender of F is not known So, we cannot says if F is granddaughter or grandson of B.
Using Statement II: The name of B has not even been mentioned. Using both statements together.
Correct Answer:
Explanation:
From Statement I,
Marks scored by Sunil = 288 and marks scored by Raman = 288 - 128 = 160
? Maximum marks = 160 x100/25 = 640
From Statement II,
Minimum passing Marks = 160 + 64 = 224
? Minimum passing percentage
= 224 x 100 /640 = 35%
Hence, the data in both the statements necessary to answer the question.
Correct Answer: if the data in Statement I alone are sufficient to answer the question, while the data in Statement II alone are not sufficient to answer the question.
Explanation:
Using Statement I:
Using Statement II:
So, by Using Statement I alone, we can say that E sits on the immediate right of A.
Correct Answer: if the data given in both the Statement I and II together are not sufficient to answer the question.
Explanation:
Even by using both the statements, we are not able to detemine who is tallest as we do not have the exact idea about the height of Q.
Correct Answer: if the data in Statements II alone are sufficient to answer the question, while the data in Statement I alone are not sufficient to answer the question.
Explanation:
From I: EAST or ETSA
Hence I alone is not sufficient
From II: Only EAST is possible
Hence II alone is sufficient.
Correct Answer:
Explanation:
From I: P > Q, but T is not the tallest.
From II: R > P, but S is not the tallest.
From I and II: R > P > Q. Neither S nor T can be the tallest. Hence R is the tallest.
Correct Answer: if the data in Statements II alone are sufficient to answer the question, while the data in Statement I alone are not sufficient to answer the question. if
Explanation:
From I: Possible months: January, February, March, April, May or June.
From II: Rahul's son correctly remembers that his father went on vacation after 31st March but before 1st May. So, his father went on vacation in the month of April. Hence only II is sufficient.
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