Data Sufficiency section 2 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 (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.
The following question based on Data Sufficiency topic of verbal reasoning
(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.
The correct answers to the above question in:
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.
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Read more question and answers set 2 Based Verbal Reasoning Questions and Answers
Question : 1
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 : 2
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 : 3
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.
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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