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- Question
- 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.
- 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.
ExplanationUsing 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. - 1. 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
- 2. 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
- 3. 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
- 4. What is the area of the rectangular plot?
I. The length of the plot is 375 m.
II. The length of the plot is thrice its breadth.
Options- A. If the Statement I alone is sufficient to answer the question but the Statement II alone is not sufficient
- B. If the Statement II alone is sufficient to answer the question but the Statement I alone is not sufficient
- C. If both Statement I and II together are needed to answer the question
- D. If either the Statement I alone or Statement II alone is sufficient to answer the question Discuss
- 5. What is the three digit number?
I. Two-fifth of the number is half of 204.
II. 20% of the number is 51.
Options- A. If the Statement I alone is sufficient to answer the question but the Statement II alone is jot sufficient
- B. If the Statement II alone is sufficient to answer the question but the Statement I alone is not sufficient
- C. If both Statement I and II together are needed to answer the question
- D. If either the Statement I alone or Statement II alone is sufficient to answer the question Discuss
- 6. 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
- 7. 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. Discuss
- 8. 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
- 9. 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
- 10. 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
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: 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 both Statement I and II together are needed to answer the question
Explanation:
From Statement I and II,
Length of plot = 375 m
Breadth of plot = 375/3 m = 125 m
Area of rectangular plot = Length x Breadth
Area of rectangular plot = 375 x 125 sq m = 46875 sq m
Correct Answer: If either the Statement I alone or Statement II alone is sufficient to answer the question
Explanation:
Suppose the number be P.
From Statement I.
P x 2/5 = 1/2 x 204
? P x 2/5 = 102
? P = 102 x 5/2
? P = 255
From Statement II.
P x 20/100 = 51
? P = 51 x 100/20
? P = 255
Both statements alone are sufficient to answer the above question.
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 Statement I alone are sufficient to answer the question, while the data in Statement II alone are not sufficient to answer the question.
Explanation:
From 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
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.
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