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) 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
The correct answers to the above question in:
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.
Discuss Form
Read more question and answers set 5 Based Verbal Reasoning Questions and Answers
Question : 1
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.
Question : 2
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 : 3
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 : 4
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 : 5
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.
Question : 6
H.C.F. of two numbers is 23. Find the smaller of the two numbers.
(I) The product of the two numbers is 6348.
(II) The L.C.M. of the two numbers is 276.
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)
Let the number be 23x and 23y
∵ Product of two numbers = Product of their HCF & LCM
∴ (I) & (II) imply the same thing i.e. xy = 12
Now possible value of x & y for which xy is 12 are (1, 12), (2, 6) & (3, 4). Hence we can find the smaller of two numbers by using either statement alone.
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
Data Sufficiency Shortcuts and Techniques with Examples
Verbal Reasoning
Question & Answer Quiz
Non Verbal Reasoning
Question & Answer Quiz
Quantitative Aptitude
Question & Answer Quiz
Computer MCQ
Question & Answer Quiz
General English
Question & Answer Quiz
History GK
Question & Answer Quiz
Polity GK
Question & Answer Quiz
Geography GK
Question & Answer Quiz
Economy GK
Question & Answer Quiz
General Awareness GK
Question & Answer Quiz
Recently Added Subject & Categories For All Competitive Exams
100+ Quadratic Equation Questions Answers PDF for Bank
Quadratic Equation multiple choice questions with detailed answers for IBPS RRB SO. more than 250 Attitude practice test exercises for all competitive exams
Continue Reading »
IBPS Aptitude Linear Equations MCQ Questions Answers PDF
Linear equations multiple choice questions with detailed answers for IBPS RRB SO. more than 250 Attitude practice test exercises for all competitive exams
Continue Reading »
New 100+ Compound Interest MCQ with Answers PDF for IBPS
Compound Interest verbal ability questions and answers solutions with PDF for IBPS RRB PO. Aptitude Objective MCQ Practice Exercises all competitive exams
Continue Reading »
100+ Mixture and Alligation MCQ Questions PDF for IBPS
Most importantly Mixture and Alligation multiple choice questions and answers with PDF for IBPS RRB PO. Aptitude MCQ Practice Exercises all Bank Exams
Continue Reading »