Practice MCQ Questions and Answer on Data Sufficiency

81. Question :

Who is the tallest among six boys P, T, N, D, Q and R ?

Statements :
I. P is taller than D and N but not-as tall as T.
II. R is taller than Q but not as tall as T.
III. Q is not taller than T and R.

(A) Only I and II
(B) Only II and III
(C) Only I and III
(D) All I, II and III

Solution:

 From I, we have: P > D, P > N, T > P i.e. T > P > D > N or T > P > N > D ...(i) From II, we have: R > Q, T > R i.e. T > R > Q ...(ii) From III, we have: T > Q, R > Q ...(iii) Clearly, from (i) and (ii), we conclude that T is taller than each one of P, N, D, R and Q. So, T is the tallest.

82. Question :

What is the code for 'is' in the code language ?

Statements :
I. In the code language, 'shi tu ke' means 'pen is blue'.
II. In the same code language, 'ke si re' means 'this is wonderful'.

(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

Solution:

Answer & Solution Answer: Option E Solution: In I and II, the common word is 'is' and the common code word is 'ke'. So, 'ke' is the code for 'is'.

83. Question :

What is the rank of P from the bottom in a class of 30 students ?

Statements :
I. M is third from the top and there are five students between M and P.
II. The rank of K is fourth from the bottom and there are 17 students between K and P.

(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

Solution:

 From I, we conclude that P is 9th from the top. Thus, in a class of 30 students, P ranks 22nd from the bottom. From II, we conclude that P is 22nd from the bottom.

84. Question :

Among five friends, who is the tallest ?

Statements :
I. D is taller than A and C.
II. B is shorter than E but taller than D.

(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

Solution:

Answer & Solution Answer: Option E Solution: From I, we have: D > A, D > C. From II, we have: E > B > D. Combining the above two, we get :E > B > D > A > C or E > B > D >C > A. Thus, E is the tallest.

85. Question :

How is Sulekha related to Nandini ?

Statements :
I. Sulekha's husband is the only son of Nandini's mother.
II. Sulekha's brother and Nandini's husband are cousins.

(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

Solution:

 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.

86. 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 :
I. B is heavier than T and C and is less heavier than V who is not the heaviest.
II. C is heavier than only T.

(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

Solution:

 From 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.

87. Question :

Which code word stands for 'good' in the coded sentence 'sin co bye' which means 'He is good' ?

Statements :
I. In the same code language, 'co mot det' means 'They are good'.
II. In the same code language, 'sin mic bye' means 'He is honest'.

(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

Solution:

 In the given statement and I, the common word is 'good' and the common code word is 'co'. So, 'co' is the code for 'good'. In the given statement and II, the common words are 'He' and 'is' and the common code words are 'sin' and 'bye'. So 'sin' and 'bye' are the codes for 'He' and 'is'. Thus, in the given statement, 'co' is the code for 'good'.

88. Question :

Which train did Aman catch to go to office ?

Statements :
I. Aman missed his usual train of 10.25 a.m. A train comes in every 5 minutes.
II. Aman did not catch the 10.40 a.m. train or any train after that time.

(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

Solution:

 From I and II, we conclude that Aman went to office by either 10.30 a.m. or 10.35 a.m. train.

89. Question :

In a certain code, '13' means 'stop smoking' and '59' means 'injurious habit'. What do '9' and '5' mean respectively in that code ?

Statements :
I. '157' means 'stop bad habit'.
II. '839' means 'smoking is injurious'.

(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

Solution:

 '59' means 'injurious habit' and '157' means 'stop bad habit' (from I). Thus, the common code number '5' stands for common word 'habit'. So, '9' represents 'injurious'. Hence, I is sufficient. Also, '59' means 'injurious habit' and '839' means 'smoking is injurious'. Thus, the common code number '9' stands for common word 'injurious'. So, '5' represents 'habit'. Thus, II is also sufficient.,

90. Question :

What will be the total weight of 10 poles, each of the same weight ?

Statements :
I. One-fourth of the weight of each pole is 5 kg.
II. The total weight of three poles is 20 kilograms more than the total weight of two poles.

(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

Solution:

 From I, we conclude that weight of each pole = (4x5) kg = 20 kg. So, total weight of 10 poles = (20 x 10) kg = 200 kg. From II, we conclude that: Weight of each pole = (weight of 3 poles) - (weight of 2 poles) = 20 kg. So, total weight of 10 pojes = (20 x 10) kg = 200 kg.

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Practice MCQ Questions and Answer on Data Sufficiency

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