Data Sufficiency section 2 MCQ Practice Questions Answers Test with Solutions & More Shortcuts
Data Sufficiency PRACTICE TEST [5 - 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
Directions:
Each of the questions below consists of a question and two statements numbered (1) and (2) 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 : 1
Is$x^2 : y^2$ < 1?
(1) (y – x) (x + y) = 40% of 60 – 120% of 20
(2) x < y
a) BOTH statements TOGETHER are sufficient, but NEITHER statement alone is sufficient.
b) Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient
c) Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
d) Statements (1) and (2) TOGETHER are NOT sufficient.
Answer »Answer: (c)
(1) ⇒ (y – x) (x + y) = 24 – 24 = 0
⇒ $y^2 – x^2 = 0 ⇒ y^2 = x^2 ⇒ {x^2}/{y^2}$ = 1
Hence we can be answered the question using statement (1) alone. (2) ⇒ x < y.
This does not always imply that $x^2 < y^2$
(Because for example –3 and 2, –3 < 2 but $3^2 ≮ 2^2$)
∴ If x < y ⇒ either $x^2 < y^2$ or $x^2 > y^2$
∴ We can't be determined the answer.
Hence (2) is not sufficient to answer the question.
Question : 2
In a certain code language what does 'come' mean ?
(1) 'pit na ja ' means 'come and go' in the code language.
(2) 'na dik sa' means 'you may go 'in the code language.
a) BOTH statements TOGETHER are sufficient, but NEITHER statement alone is sufficient.
b) Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient
c) Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
d) Statements (1) and (2) TOGETHER are NOT sufficient.
Answer »Answer: (d)
Using (1) & (2), we get 'na' means 'go'
∴ either 'pit' or 'ja' means 'come' which cannot be determined.
Question : 3
The area of a square is equal to that of a circle. What is the circumference of the circle?
(1) The diagonal of the square is x inches.
(2) The side of the square is y inches.
a) BOTH statements TOGETHER are sufficient, but NEITHER statement alone is sufficient.
b) Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient
c) Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
d) Statements (1) and (2) TOGETHER are NOT sufficient.
Answer »Answer: (d)
Given: π $r^2 = a^2$
(where r = radius of circle; a = side of square)
⇒ r = $a/√π$
Hence, to find the circumference of circle, one should know 'a' the side of square.
(1) ⇒ Side of square = ${diagonal}/{√2}$
∴ Statement (1) alone is sufficient.
Also, as stated above, statement (2) alone is sufficient.
Question : 4
If $a^6 - b^6$ = 0, then what is the value of $a^3 - b^3$?
(1) a is positive
(2) b is greater than 1
a) BOTH statements TOGETHER are sufficient, but NEITHER statement alone is sufficient.
b) Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient
c) Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
d) Statements (1) and (2) TOGETHER are NOT sufficient.
Answer »Answer: (a)
$a^6 - b^6$ = 0
⇒ $(a^2 + b^3)(a^3 - b^3)$ = 0
(1) and (2) ⇒ $a^3 + b^3$ > 0
Hence $a^3 – b^3$ = 0
∴ Both statements together are necessary to answer the question.
Question : 5
What percentage of X's salary is Y's salary ?
(1) X's salary is 20% of Z's salary.
(2) Y's salary is 45% of Z's salary.
a) BOTH statements TOGETHER are sufficient, but NEITHER statement alone is sufficient.
b) Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient
c) Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
d) Statements (1) and (2) TOGETHER are NOT sufficient.
Answer »Answer: (a)
(1) ⇒ X's salary = 20% of Z's salary
(2) ⇒ Y's salary = 45% of Z's salary
⇒ ${\text"X's salary"}/{\text"Y's salary"} = {20}/{45} = 4/9$
Hence, both the statements together are sufficient to answer the question.
IMPORTANT verbal reasoning EXERCISES
Data Sufficiency section 2 MCQ Online Quiz
Click to Start..verbal reasoning CATEGORIES
-
» Verbal Reasoning
-
» Blood Relations
-
» Clocks
-
» Coding & Decoding
-
» Classification
-
» Puzzles Test
-
» Direction & Distance sense test
-
» Series Completion
-
» Venn Diagrams
-
» Assertion & Reason
-
» Cause and Effect
-
» Statement & Conclusion
-
» Statement & Arguments
-
» statement & Assumptions
-
» Statement & Course Of Action
-
» Passage & Conclusion
-
» Seating Arrangements
-
» Sequential Test
-
» Calendar
-
» Mathematical Operations
-
» Word formation
RECENT BLOGS
Recently Added Subject & Categories For All Competitive Exams
IBPS Clerk Prelims 2024 Synonyms Questions Solved Answers
Most important IBPS Clerk Prelims 2024 Synonyms and Antonyms multiple choice questions and answers with detailed solutions, English vocabulary PDF Download
Continue Reading »
New Cloze Test Questions and Answers PDF - IBPS Clerk 2024
The most important Cloze Test questions with detailed answers for upcoming IBPS Clerk prelims 2024. Latest English verbal ability practice MCQs, PDF
Continue Reading »
Mensuration Aptitude Practice Mcq Questions IBPS Clerk 2024
Most Important Practice Mensuration aptitude multiple choice questions, answers with detailed solutions, PDF beginner to advanced for IBPS Clerk Prelims 2024
Continue Reading »
Top Clock Aptitude Questions and Answers PDF IBPS Clerk 2024
Recent Important IBPS Clerk Prelims 2024 Aptitude Clock MCQ Questions and answers with easy and logical explanation, PDF. Topic wise Free online practice test
Continue Reading »