Data Sufficiency section 5 MCQ Detailed Explanation And More Example
MOST IMPORTANT verbal reasoning - 5 EXERCISES
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
The following question based on Data Sufficiency topic of verbal reasoning
(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
The correct answers to the above question in:
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.
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Read more question and answers set 5 Based Verbal Reasoning Questions and Answers
Question : 1
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 : 2
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.
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.
Question : 3
On which day of the week from Monday to Sunday did Vijay leave for Mumbai?
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
Answer »Answer: (e)
From I and III, Vijay left for Mumbai on Wednesday or Thursday.
Question : 4
How far is Ranchi from Rohtak ?
(I) Rohtak is 899 km from Ranchi.
(II) There is no air route linking Ranchi and Rohtak directly.
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)
The distance from Ranchi to Rohtak is the same as the distance from Rohtak to Ranchi. So statement (I) alone is sufficient to answer the question completely. Statement (II) has no relevance.
Question : 5
What are the dimensions of a certain rectangle ?
(I) The perimeter of the rectangle is 14.
(II) The diagonal of the rectangle is 5.
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)
(I) ⇒ 2x + 2y = 14 or x + y = 17
(II) ⇒ $x^2 + y^2$ = 5
We can find the dimensions of certain rectangle using both equation. Therefore, we need both the statements to find the value of x and y.
Question : 6
A, B and C are positive integers. Is their product an even number?
(I) A is an even number.
(II) The product of A and B is an even number and that of A and C is also an even number.
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)
Since the product of any numbers is an even number if and only if at least one of them is an even number. Now,
(I) ⇒ A is an even number ⇒ Product of A, B, C is even.
(II) ⇒ A × B is an even number and A × C is also an even number.
⇒ at least one of them (A, B, C) is even
⇒ their product is an even number.
∴ Each statement alone is sufficient to answer the question.
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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