Practice MCQ Questions and Answer on Data Sufficiency

71. Question :

Five persons - A, B, C, D and E are sitting in a row. Who is sitting in the middle?

Statements :
I. B is between E and C.
II. B is to the right of E.
III. D is between A and E.

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

Solution:

 From I, the order is : E, B, C or C, B, E. From II, the order is : E, B. From III, the order is : A, D, E. Combining the above three, we get the order as : A, D, E, B, C. Clearly, E is sitting in the middle.

72. Question :

What is Sumit's position from the right end in a row of children?

Statements :
I. There are 10 children between Sumit and Rajan.
II. Rajan is twentieth from the left end of the row of children.

(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:

 Clearly, neither the number of children in the row is given nor the position of Sumit relative to Rajan is mentioned in any one of I or II.

73. Question :

How many doctors are practising in this town ?

Statements :
I. There is one doctor per seven hundred residents.
II. There are 16 wards with each ward having as many doctors as the number of wards.

(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, total number of doctors in town = (1/700 x N) , where N = total number of residents in town. But, the value of N is not known. From II, total number of doctors in town = (Number of wards in town) x (Number of doctors in each ward) = 16 x 16 = 256.

74. Question :

In a certain code, 'XYZ' means 'We are friends'. Which letter stands for 'We' ?

Statements :
I. 'PYN' means 'They are classmates'.
II. 'ZMS' means 'We love them'.
III. 'PX' means 'Hello friends'.

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

Solution:

Answer & Solution Answer: Option E Solution: To find the code for 'we', we need to have any of the following: (i) 'We are friends' should have only 'We' common with another statement, as in II; (ii) 'We are friends' should have only 'are' and 'friends' common with another single or two statements, as in I and III. Thus, we need Either II only or I and III only.

75. 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'.

76. Question :

How many employees of Bank Z opted for VRS ?

Statements :
I. 18% of the 950 officer cadre employees and 6% of the 1100 other cadre employees opted for VRS.
II. 28% of the employees in the age-group of 51 to 56 and 17% of the employees in all other age-groups opted for VRS.

(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: number of employees who opted for VRS = 18% of 950 + 6% of 1100 = 171 + 66 = 237. From II, we cannot get the required answer until and unless the number of employees in age-group 51 to 56 and other age-groups is known.

77. Question :

How many visitors saw the exhibition yesterday ?

Statements :
I. Each entry pass holder can take up to three persons with him/her.
II. In all, 243 passes were sold yesterday.

(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 find that maximum (243 x 3) i.e. 729 visitors saw the exhibition. But the exact number cannot be determined.

78. Question :

How is X related to Y ?

Statements :
I. Y and Z are children of D who is wife of X.
II. R's sister X is married to Ys father.

(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 Y is the child of D who is wife of X i.e. X is Y's father. From II, X is married to Y's father. This implies that X is Y's mother.

79. 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.

80. Question :

What is Suman's rank from the top in a class of forty students ?

Statements :
I. Suman is 3 ranks below Deepak from the top.
II. Deepak's rank from the bottom is 23.
III. Suman is 3 ranks above Deepak from the bottom.

(A) Any two of the three
(B) Only I and II
(C) Only II and III
(D) All I, II and III

Solution:

Answer & Solution Answer: Option E Solution: From II, we conclude that in a class of 40, Deepak ranks 23rd from the bottom i.e. 18th from the top. From I and II, we find that Suman is 3 ranks below 18th rank from the top i.e. she ranks 21st from the top. From II and III, we find that Suman is 3 ranks above 23rd rank from the bottom i.e. she ranks 20th from the bottom or 21st from the top.

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Practice MCQ Questions and Answer on Data Sufficiency

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