Practice MCQ Questions and Answer on Data Sufficiency

51. Question :

In a certain code, 'nop al ed' means They like flowers'. Which code word means 'flowers' ?

Statements :
I. 'id nim nop' means 'They are innocent'.
II. 'gob ots al' means 'We like roses'.

(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 the given statement and I, the common word is 'They' and the common code word is 'nop'. So, 'nop' is the code for 'They'. In the given statement and II, the common word is 'like' and the common code word is 'al'. So, 'al' is the code for 'like'. Thus, in the given statement, 'ed' is the code for 'flowers'.

52. Question :

On which date of the month was Anjali born in February 2004 ?

Statements :
I. Anjali was born on an even date of the month.
II. Anjali's birth date was a prime number.

(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 Anjali was born in February 2004 on a date which is an even prime number. Since the only even prime number is 2, so Anjali was born on 2nd February, 2004.

53. Question :

In a row of five children A, B, C, D and E, who is standing in the middle ?

Statements :
I. D is to the immediate right of E and B is to the immediate left of E.
II. B is at the extreme left of the row.

(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 the order: B, E, D. From II, B is at the extreme left of the row. Thus, considering both I and II, we conclude that among the five children, D is the third and hence the middle child in the row.

54. 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.

55. Question :

The last Sunday of March, 2006 fell on which date ?

Statements :
I. The first Sunday of that month fell on 5th.
II. The last day of that month was Friday.

(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 5th, 12th, 19th and 26th of March, 2006 were Sundays. So, the last Sunday fell on 26th. From II, we conclude that 31st March, 2006 was Friday. Thus, 26th March, 2006 was the last Sunday of the month.

56. 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.

57. Question :

On which day in April is Gautam's birthday?

Statements :
I. Gautam was born exactly 28 years after his mother was born.
II. His mother will be 55 years 4 months and 5 days on August 18 this year.

(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: Clearly, the birthday of Gautam's mother can be found out from II and then Gautam's birthday can be determined using the fact given in I.

58. 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.

59. Question :

It is 8.00 p.m., when can Hemant get next bus for Ramnagar from Dhanpur?

Statements :
I. Buses for Ramnagar leave after every 30 minutes, till 10 p.m.
II. Fifteen minutes ago, one bus has left for Ramnagar.

(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: II reveals that the previous bus had left at 7.45 p.m. As given in I, the next bus would leave after 30 minutes i.e. at 8.15 p.m.

60. Question :

How many girls are taller than Shravan in his class ?

Statements :
I. When students of Shravan's class are ranked in descending order of their heights, Shravan's rank is 17th from the top among all the students and 12th among boys.
II. Shravan's rank from the bottom on the basis of height among boys is 18th and among all students, 29th.

(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 there are 16 students and 11 boys taller than Shravan. This implies that there are 5 girls taller than Shravan. In II, Shravan's rank from the bottom is mentioned and to ascertain the number of girls taller than him, we need to know his rank from the top for which the number of students in the class is required, which is not given.

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Practice MCQ Questions and Answer on Data Sufficiency

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