Practice MCQ Questions and Answer on Data Sufficiency

61. 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.

62. Question :

How is F related to P?

Statements :
I. P has two sisters M and N.
II. F's mother is sister of M's 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:

Answer & Solution Answer: Option E Solution: From I and II, we conclude that P is M's brother and so M's father is P's father. So, F is the child of the sister of P's father i.e. F's mother is P's aunt or F is P's cousin.

63. 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.

64. Question :

In a row of five buildings - P, Q, R, S and T, which building is in the middle ?

Statements :
I. Buildings S and Q are at the two extreme ends of the row.
II. Building ,T is to the right of building R.

(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 the order : S, -, -, -, Q. From II, we have the order : R, T. Combining the above two, we get two possible orders : S, R, T, P, Q or S, P, R, T, Q. Thus, either T or R is in the middle.

65. Question :

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

Statements :
I. There are ten students between Nitin and Deepak.
II. Deepak is twentieth from the top.

(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:

 Since there are ten students between Nitin and Deepak, so Nitin may be eleven ranks above or below Deepak. Thus, Nitin may be 9th or 31st from the top.

66. Question :

What is Sachin's rank from the top in a class of 25 students ?

Statements :
I. Sachin ranks three ranks above Amit who ranks 18th from the bottom.
II. Sachin's rank from the top is two ranks below Deepti who ranks 23rd from the bottom.

(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 know that in a class of 25 students, Amit ranks 18th from the bottom and 8th from the top. Sachin is three ranks above Amit and so, Sachin ranks 5th from the top. From II, Deepti ranks 23rd from the bottom and hence, 3rd from the top. Sachin, being 2 ranks below Deepti, is, thus, 5th from the top.

67. Question :

On a T.V. channel, four serials A, B, C and D were screened, one on each day, on four consecutive days but not necessarily in that order. On which day was the serial C screened ?

Statements :
I. The first serial was screened on 23rd, Tuesday and was followed by serial D.
II. Serial A was not screened on 25th and one serial was screened between serials A and B.

(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 know that the serials were screened on 23rd, 24th, 25th and 26th. Clearly, D was screened second i.e. on 24th, Wednesday. From II, we know that one serial was screened between A and B. So, A and B were screened first and third, i.e. on 23rd and 25th. But, A was not screened on 25th. So, A was screened on 23rd and B on 25th. Thus, C was screened on 26th, Friday.

68. 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.

69. Question :

Who is to the immediate right of P among five persons P, Q, R, S and T facing North ?

Statements :
I. R is third to the left of Q and P is second to the right of R.
II. Q is to the immediate left of T who is second to the right of 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 have the order: R, -, P, Q. From II, we have the order: P, Q, T. Clearly, each one of the above two orders indicates that Q is to the immediate right of P.

70. Question :

How many sons does D have ?

Statements :
I. A's father has three children.
II. B is A's brother and son of 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:

 From both I and II together, we can conclude that A and B are the children of D, but the sex of A and the third child of D is not known. So, both I and II together are also not sufficient to answer the question.

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Practice MCQ Questions and Answer on Data Sufficiency

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