Data Sufficiency section 5 MCQ Detailed Explanation And More Example

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Directions:

In each of the following problems, there is one question and three statements I, II and III given below the question. You have to decide whether the data given in the statements is sufficient to answer the question. Read all the statements carefully and find which of the statements is/are sufficient to answer the given question. Choose the correct alternative in each question.

The following question based on Data Sufficiency topic of verbal reasoning

Questions : On which day of the week did Arjun arrive?
I. His sister, Malavika, correctly remembers that he did not arrive on Wednesday.
II. His friend, Bala, correctly remembers that he arrived before Friday.
III. His mother correctly mentions that he arrived before Friday but after Tuesday.

(a) Only I and III

(b) Only II and III

(c) Only I and II

(d) All I,II and III

e) Can't be determined

The correct answers to the above question in:

Answer: (a)

From I, Wednesday he didn't arrive

From II, number of possible cases S,M,T,W,T

From III, possible cases W,T

But from first he didn't arrive on Wednesday, so from 1 and 3 he arrives on Thursday.

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Read more question and answers set 5 Based Verbal Reasoning Questions and Answers

Question : 1

On which day of the week did Priya arrive?
I. Her sister, Anu, correctly remembers that she did not arrive on Monday.
II. Her friend, Bala, correctly remembers that she arrived before Friday.
III. Her mother correctly mentions that she arrived before Friday but after Tuesday.

a) Only I and III

b) Only II and III

c) Only I and II

d) All I, II and III

e) Data inadequate

Answer: (e)

S M Tu W Th F Sat

She didn't arrive on Wednesday from I

From II ⇒ before Friday mean S M TuTh

From III ⇒ Wednesday and Thursday

Question : 2

Who among A, B, C, D and E was the first to reach the station?
(1) B reached earlier than E, A and C were not the first to reach.
(2) A reached earlier than both C and E, but could not reach earlier than D, who was at the station before B.
(3) C didn't reach just after A

a) only 2

b) only 2 and 3

c) only 1 and 2

d) all 1, 2 and 3

e) none of these

Answer: (a)

From (1) E > B (B is earlier than E) and A and C are not first From (2) C,E > A (A reached earlier than C and E) and also A > D (D is earlier than A) and B > D (D was at station before B ) so we get D is first to reach the station From 3) we can't say anything

Question : 3

How many pages of the Book did Aruna read on Sunday ?
I. Aruna read the last 50 pages of the book on Monday morning
II. The book has 300 pages out of which two-thirds were read by Aruna before Sunday.
III. Aruna always read less pages in Monday compared to Wednesday.

a) Only I and III

b) Only I and II

c) Only I

d) Only II and III

e) Can't be determined

Answer: (b)

From both I and II

2/3(300) = 200

Sunday = 300 – (200 + 50) = 50

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