Data Sufficiency section 3 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) Cost of the carpet is Rs.450 per square metre.
(2) Perimeter of the hall is 50 metres.
(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: (d)
∵ Total cost = Area of floor × Cost of carpet per square metre.
∴ Both the statements together are not sufficient to answer the question.
Discuss Form
Read more question and answers set 3 Based Verbal Reasoning Questions and Answers
Question : 1
What is the perimeter of rectangle ABCD?
(1) Area of the circle is 78.5 sq cm.
(2) AB = 10 cm.
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) ⇒ π $r^2$ = 78.5
Hence, r can be determined and then breadth of rectangle = 2r
(2) ⇒ Length of rectangle
Hence, using statements (1) & (2), perimeter of rectangle can be determined.
Question : 2
A starts a business with Rs.60,000. After 6 months B joins him. What is the profit of B at the end of the year?
(1) The share of the profit is in the ratio 4 : 3
(2) B's capital is Rs.90,000.
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: (d)
By using both statements, we can't be determined the profit of B.
∴ Both statements together are not insufficient to answer the question.
Directions:
Each of the questions below consists of a question and two statements numbered (I) and (II) 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 : 3
By selling a product for Rs.100 how much profit was earned?
(I) 20% profit would have been earned if it had been sold for Rs.90.
(II) The profit was one–third of the cost price.
a) BOTH statements TOGETHER are sufficient, but NEITHER statement alone is sufficient.
b) Statement (II) ALONE is sufficient, but statement (I) alone is not sufficient.
c) Statement(I) ALONE is sufficient, but statement (II) alone is not sufficient.
d) EACH statement ALONE is sufficient
Answer »Answer: (d)
(I) ⇒ C.P. can be calculated since
C.P = ${S.P. × 100}/{(100 + % profit)}$
Also, since Profit = S.P. – C.P.
∴ Profit can be calculated using statement (I) alone.
(II) ⇒ C .P = $1/3$ × Profit and Profit = S.P. – C.P.
Therefore, each statement alone is sufficient to answer the question.
Question : 4
What was the cost price of the suitcase purchased by Samir?
(1) Samir got 20 per cent concession on the labelled price.
(2) Samir sold the suitcase for Rs.2000 with 25 per cent profit on the labelled 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.
Answer »Answer: (c)
(2) ⇒ Labelled price = ${2000}/{125}$ × 100 = Rs.1600
(1) ⇒ C.P. of suitcase = 1600$(1 - {20}/{100})$ = Rs.1280
Hence, both the statements together are necessary to answer the question.
Question : 5
In the figure, is PRSU a square?
(1) PQ = QR and UT = TS.
(2) PU = RS.
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)
By using both statements we cannot be determined PR = US.
So, both statements together are not sufficient.
Question : 6
X, Y and Z are integers. Is X an odd number?
(1) An odd number is obtained when X is divided by 5.
(2) (X + Y) is an odd number.
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) ⇒ It is sufficient to answer the question because any odd number is divided by any odd number, it gives an odd number.
(2) ⇒ Either X or Y is odd ⇒ X may be odd or not.
∴ Statement (2) is 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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