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) The cost is Rs.300.
(2) The loss is 25 per cent of the selling price.
(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)
Loss = C.P. – S.P.
(1) ⇒ C.P. is given
(2) ⇒ Loss = 25% of S.P. = $1/4$ S.P.
Hence, 'Loss' can be calculated using both the statements together.
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Read more question and answers set 2 Based Verbal Reasoning Questions and Answers
Question : 1
How many houses on the street are painted blue ?
(1) Houses on the east side with number 122 through 182 are painted blue ?
(2) Houses on the west and east sides have consecutive odd and even number 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: (a)
(2) ⇒ Houses on east side have only even number i.e. 122, 124, 126,......., 180, 182.......
(1) ⇒ Houses with number 122, 124, 126,......., 182 are painted blue.
⇒ 31 houses are painted blue.
∴ Both statements together are necessary to answer the question.
Question : 2
Who among the three friends A, B and C reached the school first?
(1) A reached the school at 7.15 am five minutes before the bell rang.
(2) B reached before C, who reached the school before the bell rang.
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)
(1) ⇒ Bell range at 7.15 + 5 = 7.20 am
(2) ⇒ Both B and C reached the school before 7.20am (using 1).
But exact time of reaching can't be determined. Hence, comparison is not possible.
Question : 3
Is the integer divisible by 3?
(1) the last digit in n is 3.
(2) n + 5 is divisible by 6.
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)
(1) ⇒ Last digit of n is 3
⇒ n may be 3, 13, 23, 33, 43, 53, 63, .........
(2) ⇒ n + 5 is divisible by 6
⇒ n may be 1, 7, 13, 19, 25, 31, 37, 43, .........
Hence, we cannot be determined that integer is divisible by 3 even using both the statements.
Question : 4
A, B, C, D and F are seated around a circular table facing at the centre. Who is on the immediate right of B ?
(1) D is between A and F.
(2) C is between B and F.
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)
From 1 and 2 :
∴ Either A or C is on the immediate right of B.
∴ Both statements together are not sufficient to answer the question.
Question : 5
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 : 6
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.
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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