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 : 11
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 : 12
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 : 13
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 : 14
Is y larger than 1 ?
(1) y is larger than 0
(2) $y^2$ - 4 > 0
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)
(2) ⇒ $y^2$ > 4 ⇒ -2 < y < 2
(1) ⇒ y > 0 ⇒ 0 < y < 2
Hence, using both the statements we cannot be determined whether y is larger than 1 or smaller than 1.
Question : 15
What is the value of a two-digit number ?
(1) The sum of the two digits is 4.
(2) The difference between the two digits is 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: (d)
(1) ⇒ x + y = 4
(2) ⇒ x – y = 2
Solving above equations, we get x and y. But the numbers may be either 10x + y or 10 y + x. Hence, we can't get the solution.
∴ Both statements together are not sufficient to answer the question.
IMPORTANT verbal reasoning EXERCISES
Data Sufficiency section 2 MCQ Online Quiz
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