Data Sufficiency section 3 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 : 6
What is the cost of the laying carpet in a rectangular hall?
(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.
Answer »Answer: (d)
∵ Total cost = Area of floor × Cost of carpet per square metre.
∴ Both the statements together are not sufficient to answer the question.
Question : 7
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 : 8
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 : 9
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 : 10
What was the total compound interest on a sum after three years?
(I) The interest after one year was Rs.100 and the sum was Rs.1000.
(II) The difference between simple and compound interest on a sum of Rs.1000 at the end of two years was Rs.10.
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)
∵ Amount = P$(1 + R/{100})^n$
(I) ⇒ For P = 1000 and n = 1, A = Rs.1100
∴ R = 10%
Hence, C.I. after 3 years can be calculated.
∴ Statement (I) alone is sufficient to answer the question.
Now, since difference between S.I. and C.I. for 2 years = P × $(R/{100})^2$
∴ From (II), R can be calculated.
Hence, C.I. after 3 years can be determined.
Therefore, each statement alone is sufficient to answer the question.
IMPORTANT verbal reasoning EXERCISES
Data Sufficiency section 3 MCQ Online Quiz
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