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- Question
- In how many days will B alone complete the work?
I. A and B together can complete the work in 8 days.
II. B and C together can complete the work in 10 days.
III. A and C together can complete the work in 12 days.
Options- A. Only I and II
- B. Only II and III
- C. I, II and III
- D. Data is insufficient
- Correct Answer
- I, II and III
Explanation(A + B)'s 1 day's work = 1/8 ..........(i)
(B + C)'s 1 day's work = 1/10 ..........(ii)
(C + A)'s 1 day's work = 1/12 ............(iii)
Add the equation (i), (ii), (iii)
2(A + B + c)'s 1 day's work = 1/8 + 1/10 + 1/12
(A + B + C)'s 1 day's work = 1/2[1/8 + 1/10 + 1/12] ..........(iv)
Subtracting Eq. (iii) from Eq. (iv), we get B's 1 day's work.
then, required number of days = 1/(B's 1 day's work) .
So we need all above 3 statements to solve the given question. - 1. Five letter A, E, G, N and R are arranged left to right according to certain conditions. Which letter is placed third?
I. G is placed second to the right of A. E is to the immediate right of G . There are only two letter between Rand G.
II. N is exactly between A and G, neither A nor G is at the extreme end of the arrangement.
Options- A. if the data in statement I alone are sufficient to answer the question , which 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 either in statement I alone or Statement II alone are sufficient to answer the question
- D. if the data neither in Statement I nor II together are sufficient to answer the questions Discuss
- 2. Among five friend ? J, K, L, M, and N each of a different height , who is the second tallest?
I. N is taller than M and K,K is shorted than M.
II. L is taller than M and N. J is not the tallest.
Options- A. 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
- B. the data neither in Statement I nor in Statement II are sufficient to answer the question
- C. 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
- D. The data in both the Statements I and II together are necessary to answer the question Discuss
- 3. How many student are there in the class?
I. there are more than 20 but less that 27 student in the class .
II. there are more than 24 but less then 31 student in the class the number of student in the class can be divided into group such that each group contains 5 students.
Options- A. The data in both the Statements I and II together are necessary to answer the question
- B. the data neither in Statement I nor in Statement II are sufficient to answer the question
- C. 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
- D. 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 Discuss
- 4. Is D the mother of s?
I. L is the husband of D . L has only three children.
II. N is the brother of S and P. P is the daughter of L .
Options- A. The data in both the Statements I and II together are necessary to answer the question
- B. the data neither in Statement I nor in Statement II are sufficient to answer the question
- C. 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
- D. 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 Discuss
- 5. How is the 'cost' written in the given code language?
I. In the coded as '@ 0 # 9' and 'cost was very high' is coded as '& 6 # 1' .
II. In the code language 'some cost was discunt' is coded as '1 8 7 #' . and 'some people like discount'.is coded as '8 7 5 %' .
Options- A. The data in both the Statements I and II together are necessary to answer the question
- B. the data neither in Statement I nor in Statement II are sufficient to answer the question
- C. 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
- D. 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 Discuss
- 6. What is the rate of interest percentage per annum?
I. An amount doubles itself at simple interest in 10 yr.
II. Difference between the compound interest and simple interest on an amount of ? 15000 in 2 yr is ? 150.
III. The compound interest calculated after 8 yr is more than the amount principle.
Options- A. Only I
- B. Only II
- C. Ii and III
- D. I and III Discuss
- 7. What is the mark scored by Abhijit in English?
I. Marks scored by Abhijit In Mathematics are more than his marks in Science by 20.
II. Total marks scored by Abhijit in Mathematics, Science and English are 197.
III. Marks scored by Abhijit in Science are more than his marks in English by 12.
Options- A. Any two of the three
- B. II and III
- C. I, II and III
- D. Data is insufficient Discuss
- 8. In how many days will Y alone complete the work?
I. X and Y together can complete the wok in 8 days.
II. Y and Z together can complete the work in 10 days.
III. X and Z together can complete the work in 12 days.
Options- A. Only I and II
- B. Only II and III
- C. I, II and III
- D. Data is insufficient Discuss
- 9. What is Supriya's present age?
I. Supriya is 3 yr older than Priya.
II. The ratio of Priya's, Reshma's age is 3 : 4
Options- A. If the data given in Statement I alone is sufficient to answer the question whereas the data given in Statement II alone is not sufficient to answer the question
- B. If the data given in Statement II alone is sufficient to answer the question whereas the data given in Statement I alone is 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 Statement I and II are not sufficient to answer the question Discuss
- 10. What is the rate of interest percentage per annum?
I. An amount of ? 6200 fetches simple interest of ? 1736 in 2 yr.
II. An amount of ? 4500 fetches compound interest of ? 1348.20 in 2 yr.
Options- A. If the data given in Statement I alone are sufficient to answer the question whereas the data given in Statement II alone are not sufficient to answer the question
- B. if the data given in Statement II alone are sufficient to answer the question whereas the data given 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 Statement I and II are not sufficient to answer the question Discuss
Data Sufficiency problems
Search Results
Correct Answer: if the data either in statement I alone or Statement II alone are sufficient to answer the question
Explanation:
Form Statement I,
R A G E
Clearly , the left place or empty place is filled by N .
From Statement II ,
A N G
G N A
Clearly N is at third place ,
Hence, the data in Statement I alone or in Statement II alone are sufficient to answer the question .
Correct Answer: the data neither in Statement I nor in Statement II are sufficient to answer the question
Explanation:
From Statement I,
N > M > K
From Statement II ,
L > N
From both the Statement
L > N > M > K
but height of J is not clear .
Thus second tallest friend cannot be determined.
Hence, data neither in Statement I nor in Statement II are sufficient to answer the question .
Correct Answer: The data in both the Statements I and II together are necessary to answer the question
Explanation:
From Statement I,
Number of student in the class
= 21 or 22 or 23 or 24 or 25 or 26
From Statement II,
Number of student in the class
= 25 or 26 or 27 or 28 or 29 or 30
Sine , number of student can be divided into group of 5 students, therefore number of student must be multiple of 5.
? NUmber of student in the class = 25 or 30
Combining Statement I and II .
Number of Student in the class = 25
Hence , the data in both the Statement I and II together are necessary to answer the question .
Correct Answer: 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 Statement I L is the husband of D . as L has three children , D also has three children .
From Statement II, N, S and P are siblings and are the children of L and of D also . Thus , D is the mother of S .
Hence , data in both the Statement I and II together are necessary to answer the question .
Correct Answer: 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 Statement I,
tell me the cost ? @ 0 # 9
cost wase very high ? & 6 # 1
? cost ? #
From Statement II ,
Some cost was discount ? 1 6 7 #
Some people like discount ? 8 7 5 %
? some discount ? 8 7 and cost ? either 1 or #
Thus we can the code of 'cost' from Statement I only.
Hence, data in Statement I alone are sufficient to answer the question.
Correct Answer:
Explanation:
From Statement I,
SI = PRT/100
? P = (P x R x 10)/100
? R = 10%
From Statement II,
Difference (D) = PR2/(100)2
? 150 = (15000 x R2)/10000
? R = 10%
Thus, either Statement I or II is sufficient.
Correct Answer: I, II and III
Explanation:
From Statement I and III,
Let marks in English be x
Marks in Science = x + 12
and marks in Mathematics = x + 32
From Statement II,
E + S + M = 197
x + x + 12 + x + 32 = 197
? 3x + 44 = 197
? 3x = 197 - 44 = 153
? x = 51
? Marks in English = 51
Correct Answer: I, II and III
Explanation:
(X + Y)'s 1 day's work = 1/8 ..(i)
(Y + Z)'s 1 day's work = 1/10 ...(ii)
(Z + X)'s 1 day's work = 1/12 ..(iii)
Adding equations i , ii , iii
2(X + Y + Z)'s 1 day's work = 1/8 + 1/10 + 1/12
(X + Y + Z)'s 1 day's work
= 1/2[1/8 + 1/10 + 1/12] ..(iv)
Subtracting Eq. (iii) from Eq. (iv), we get Y's 1 day's work,
Then, required number of days
= 1/Y's 1 day's work
Correct Answer: If the data in both the Statement I and II are not sufficient to answer the question
Explanation:
Data are not sufficient even from Statement I and II both.
Correct Answer: if the data in either Statement I alone or in statement II alone are sufficient to answer the question
Explanation:
From Statement I,
R = (SI x 100) / (P x T)
? (1736 x 100)/(6200 x 2) = 14%
From Statement II,
1348.2 4500(1 + r/100)2 - 4500
? 1348.2 + 4500 = 4500(1 + r/100)2
? 5848.2 = 4500((1 + r/100)2
? 5848.2/4500 = (1 + r/100)2
? 3249/2500 = (1 + r/100)2
? (57/50)2 = (1 + r/100)2
? 1 + r/100 = 57/50
? r/100 = 57/50 - 1 = 7/50
? r = 7 x 100/50
? r = 14%
Both statement are alone sufficient.
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