Reasoning :: Data SuffuciencyPage 1
1.  Statement: Among six people P,Q, R, S, T and V each lives on a different floor of a six storey building having 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 ). Who lives on the topmost floor ?
1. There is only one floor between the floors on which R and Q live, P lives on an even numbered floor.
2. T does not live on an even numbered floor. Q lives on even numbered floor. Q does not live on the topmost floor.
3. S lives on an odd numbered floor. There are two floors between the floors on which S and P live . T lives on a floor a immediately above R's floor.
 (a)If the data in statements 1 and 2 are sufficient to answer the question while the data in statement 3 are not required to answer the question.  (b)If the data in statements 1 and 3 are sufficient to answer the question, while the data in statement 2 are not required to answer the question.  (c)If the data in statements 2 and 3 are sufficient to answer the question, while the data in statement 1 are not required to answer the question.  (d)If the data in all the statements 1, 2 and 3 together are necessary to answer the question. 

Answer is: DThe data is statements 1, 2 and 3 together are necessary to answer the question.
2.  Statement: There are six letters W, A, R, S, N, and E. Is 'ANSWER 'the word formed after performing the following operations using these six letters only?
1. E is placed fourth to the right of A. S is not place immediately next to either A or E.
2. R is placed immediately next (either left or right) to E. W is placed immediately next (either left or right) to S.
3. Both N and W are placed immediately next to S. The word does not begin with R. A is not placed immediately next to W.  (a)If the data in statements 1 and 2 are sufficient to answer the question while the data in statement 3 are not required to answer the question.  (b)If the data in statements 1 and 3 are sufficient to answer the question, while the data in statement 2 are not required to answer the question.  (c)If the data in statements 2 and 3 are sufficient to answer the question, while the data in statement 1 are not required to answer the question  (d)If the data in all the statements 1, 2 and 3 together are necessary to answer the question. 

Answer is: DThe data in statement 1, 2 and 3 together are necessary to answer the question.
3.  Statement: Point D is in which direction with respect to point B?
1. Point A is to be the west of point B. Point C is to the North of point B. point D is to the south of point C.
2. Point G is to the south of point D. Point G is 4 m from Point B. Point D is 9 m from Point B.
3. Point A is to the West of point B. Point B is exactly midway between points A and E. Point F is to south of Point E. Point D is to the West of point F.  (a)If the data in statements 1 and 2 are sufficient to answer the question while the data in statement 3 are not required to answer the question.  (b)If the data in statements 1 and 3 are sufficient to answer the question, while the data in statement 2 are not required to answer the question.  (c)If the data in statements 2 and 3 are sufficient to answer the question, while the data in statement 1 are not required to answer the question.  (d)If the data in either statement 1 alone or statement 2 alone or statement 3 alone are sufficient to answer the question. 

Answer is: BThe date in statement 1 and 3 are sufficient to answer the question, while the data in statement 2 are not required to answer the question.
4.  Statement: Is D is the mother of S?
1. L is the husband of D. L has only three children.
2. N is the brother of S and P. P is the daughter of L.  (a)The data is in statement 2 alone are sufficient to answer the question, while the data in statement 1 alone are not sufficient to answer the question.  (b)The data is neither in statement 1 nor in statement 2 are not sufficient to answer the question.  (c)The data either in statement 1 alone or in statement 2 alone are sufficient to answer the question.  (d)The data in both the statement 1 and 2 together are necessary to answer the question. 

Answer is: DFrom statement 1,
L is the husband of D. As L has three children, D also has three children.
From statement 2,
N, S, and P are siblings and are the children of L and of D also. Thus D is the mother of S.
5.  Statement: Among five friends J, K, L, M and N each of a different height, who is the second tallest?
1. N is taller than M and K. K is shorter than M.
2. L is taller than N. J is not the tallest.  (a)The data is neither in statement 1 nor in statement 2 are sufficient to answer the question.  (b)The data is in statement 1 alone are sufficient to answer the question, while The data is in statement 2 alone are not sufficient to answer the question.  (c)The data either in statement 1 alone or in statement 2 alone are sufficient to answer the question.  (d)The data in both the statement 1 and 2 together are necessary to answer the question. 

Answer is: AFrom statement 1,
N > M > K
From statement 2,
L > N
From both the statements,
L > N > M > K
but height of j is not clear. thus second tallest friend cannot be determined. Hence, data neither in statement 1 nor in statement 2 are sufficient to answer the question.
6.  Statement: How many students are there in the class?
1. There are more than 20 but less that 27 students in the class.
2. There are more than 24 but less than 31 students in the class. The number of students in the class can be divided into groups such that each group contains 5 students.  (a)The data is in statement 2 alone are sufficient to answer the question, while the data in statement 1 alone are not sufficient to answer the question.  (b)The data in both the statement 1 and 2 together are necessary to answer the question.  (c)The data either in statement 1 alone or in statement 2 alone are sufficient to answer the question.  (d)The data is neither in statement 1 nor in statement 2 are not sufficient to answer the question. 

Answer is: BFrom statement 1,
Number of students in the class = 21 or 22 or 23 or 24 or 25 or 26
From statement 2,
Number of students in class = 25 or 26 or 27 or 28 or 29 or 30
Since, number of students can be divided into groups of 5 students, therefore number of students must be a multiple of 5.
so, number of students in the class = 25 or 30
Combing statement 1 and 2.
number of students in the class = 25
Hence, the data in both the statements 1 and 2 together are necessary to answer the question.
7.  Statement: Five letters A, E, G, N and R are arranged left to right according to certain conditions. Which letter is placed third?
1. G is placed second to the right of A. E is to the immediate right of G. there are only two letters between R and G.
2. N is exactly between A and G, neither A nor G is at the extreme end of the arrangement.  (a)The data is in statement 2 alone are sufficient to answer the question, while the data in statement 1 alone are not sufficient to answer the question.  (b)The data is neither in statement 1 nor in statement 2 are not sufficient to answer the question.  (c)The data either in statement 1 alone or in statement 2 alone are sufficient to answer the question.  (d)The data in both the statement 1 and 2 together are necessary to answer the question. 

Answer is: CFrom statement 1,
R A _ G E
Clearly, the left place or empty place filled by N.
From statement 2,
_ A N G _
_G N A _
Clearly, N is at third place.
Hence, the data either in statement 1 alone or in statement 2 alone are sufficient to answer the question.
8.  Statement: Village P is towards which direction of village R?
 Village R is to the South East of village T and T is to the North of village P.
 Village Q is to the South of village P and to the South West of village R.
 (a)The data is in statement 2 alone are sufficient to answer the question, while the data in statement 1 alone are not sufficient to answer the question.  (b)The data is neither in statement 1 nor in statement 2 are not sufficient to answer the question.  (c)The data is in statement 1 alone are sufficient to answer the question, while The data is in statement 2 alone are not sufficient to answer the question.  (d)The data either in statement 1 alone or in statement 2 alone are sufficient to answer the question. 

Answer is: CThe data in statement 1 alone or in statement 2 alone are sufficient to answer the question.
9.  Statement: Who among A, B, C, D and E each having a different height, is the third tallest?
 E is shorter than only B.
 C is taller than only A.
 (a)The data is in statement 2 alone are sufficient to answer the question, while the data in statement 1 alone are not sufficient to answer the question.  (b)The data is neither in statement 1 nor in statement 2 are not sufficient to answer the question.  (c)The data is in statement 1 alone are sufficient to answer the question, while The data is in statement 2 alone are not sufficient to answer the question.  (d)The data in both the statement 1 and 2 together are necessary to answer the question. 

Answer is: DThe data in both the statement 1 and 2 together are necessary to answer the question.
10.  Statement: How many sister does K have?
 M is sister of K.
 K' s mother has three children.
 (a)The data is in statement 2 alone are sufficient to answer the question, while the data in statement 1 alone are not sufficient to answer the question.  (b)The data is neither in statement 1 nor in statement 2 are not sufficient to answer the question.  (c)The data in both the statement 1 and 2 together are not sufficient to answer the question.  (d)The data either in statement 1 alone or in statement 2 alone are sufficient to answer the question. 

Answer is: C The data given in both the statement 1 and 2 together are not necessary to answer the question.
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