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) 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.
The correct answers to the above question in:
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.
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Read more question and answers set 2 Based Verbal Reasoning Questions and Answers
Question : 1
What will be the cost of the second necklace?
(1) The cost of the first necklace is $1/5$ more than the second and the cost of the third necklace is $2/5$ more than the second. The total cost of all the three necklaces is Rs.120000.
(2) The cost of the first necklace is $2/5$ more than the second. The cost of the third necklace is the least and total cost of all the three necklaces is Rs. 1,20,000.
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) ⇒ Ratio of the costs of first, second and third necklace is 6 : 5 : 7 and total cost is given. Hence the price of second necklace can be calculated.
(2) ⇒ $N_1 = N_2 + 2/5 , N_3$ is least
and $N_1 + N_2 + N_3$ = 120000
Since we don't know N3 . Therefore statement (2) is not sufficient to answer the question.
Question : 2
Towards which direction is C from Q ?
(1) C and Q are opposite to each other. L is equidistant from C and Q.
(2) L is neither towards north-east nor towards southwest of C and Q respectively.
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)
Information given in both the statements does not lead to specific direction. Hence, even both (1) and (2) together are not sufficient.
Question : 3
What is the cost of flooring a room ?
(1) The length and breadth of the room is 9 m and 6 m respectively.
(2) The cost of the tiles is Rs.6 per $cm^2$ .
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)
∵ cost = Area of room × Rate per square area
and Area = length × breadth
∴ Both statements together are necessary to answer the question.
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
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 : 6
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.
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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