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
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