Data Sufficiency section 5 MCQ Detailed Explanation And More Example
MOST IMPORTANT verbal reasoning - 5 EXERCISES
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
I. Vijay's brother left for Mumbai on Friday.
II. Vijay leaves for Mumbai after Tuesday.
III. Vijay left before his brother.
(a) Both I and II
(b) Only II
(c) Only I
(d) Both I and III
e) Data inadequate
The correct answers to the above question in:
Answer: (e)
From I and III, Vijay left for Mumbai on Wednesday or Thursday.
Discuss Form
Read more question and answers set 5 Based Verbal Reasoning Questions and Answers
Question : 1
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 »Answer: (b)
From both I and II
2/3(300) = 200
Sunday = 300 – (200 + 50) = 50
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 »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
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 »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
Directions:
Each of the questions below consists of a question and two statements numbered (I) and (II) given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and give answer
Question : 4
In the given figure P, Q and R are centres of three equal circles. What is the area of the shaded portion in the figure shown below ?
(I) QR is known.
(II) The triangle is an equilateral triangle.
a) BOTH statements TOGETHER are sufficient, but NEITHER statement alone is sufficient.
b) Statement (II) ALONE is sufficient, but statement (I) alone is not sufficient.
c) Statement(I) ALONE is sufficient, but statement (II) alone is not sufficient.
d) EACH statement ALONE is sufficient
Answer »Answer: (c)
Since, all three circles are equal.
∴ PQ = QR = PR
⇒ ΔPQR is an equilateral triangle.
And area of shaded portion
= Area of ΔPQR – 3 (area of each sector),
(I) ⇒ QR is known.
⇒ side of triangle and radius is known.
Hence, statement (I) alone is sufficient to answer the question.
Now, since all three circles are equal, therefore, statement (II) is restatement of the information given in question.
Question : 5
Average weight of four persons is 67 kg. These persons are A, B, C and D. When E is included in the group, average weight decreases by 2 kg. What is the weight of A? A's weight is 4 kg more than B's weight.
(I) When B is displaced by another person F, whose weight is 4 kg more than E, average weight becomes 64 kg.
(II) When D is displaced by another person G, whose weight is 4 kg more than E, average weight becomes 65 kg.
a) BOTH statements TOGETHER are sufficient, but NEITHER statement alone is sufficient.
b) Statement (II) ALONE is sufficient, but statement (I) alone is not sufficient.
c) Statement(I) ALONE is sufficient, but statement (II) alone is not sufficient.
d) EACH statement ALONE is sufficient
Answer »Answer: (a)
Given, A + B + C + D = 67 × 4 = 268
A + B + C + D + E = 65 × 5 = 325
and A – B = 4
∴ E = 325 – 268 = 57
(I) ⇒ F = 57 + 4 = 61
and A + C + D = 64 × 4 – 61 = 195
(II) ⇒ G = 57 + 4 = 61
and A + B + C = 65 × 4 – 61 = 199
Solving the above equations, we can get the value of A. Therefore both statements together can solve the question.
Question : 6
The area of a playground is 1600 square metres. What is its perimeter?
(I) It is a perfect square playground
(II) It costs Rs. 3200 to put a fence around the playground at the rate of Rs.20 per metre.
a) BOTH statements TOGETHER are sufficient, but NEITHER statement alone is sufficient.
b) Statement (II) ALONE is sufficient, but statement (I) alone is not sufficient.
c) Statement(I) ALONE is sufficient, but statement (II) alone is not sufficient.
d) EACH statement ALONE is sufficient
Answer »Answer: (d)
From (I) : We can find the side, area and perimeter of square.
From (II) : Since Perimeter × rate of fencing per metre = Total cost (in rupees)
Hence, each statement alone is sufficient.
GET Data Sufficiency PRACTICE TEST EXERCISES
Data Sufficiency section 1 MCQ
Data Sufficiency section 2 MCQ
Data Sufficiency section 3 MCQ
Data Sufficiency section 4 MCQ
Data Sufficiency section 5 MCQ
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