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 (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
The following question based on Data Sufficiency topic of verbal reasoning
(I) 50 % of the families of the city have televisions.
(II) 30% of the television owners of the city have telephones.
(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
The correct answers to the above question in:
Answer: (a)
Let total families in city = x
(I) ⇒ Families having television = $x/2$
(II) ⇒ Families having telephones = 30% of $x/2 = {3x}/{20}$
∴ Required % = ${3x\20}/x$ × 100
Hence, both statements together are necessary to answer the question.
Discuss Form
Read more question and answers set 3 Based Verbal Reasoning Questions and Answers
Question : 1
What is the length of AB + CD ?
(I) AD = 30
(II) BC = 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: (a)
Here, AD = AB + BC + CD
AB + CD = AD – BC
Hence, both the statements together are necessary to answer the question.
Question : 2
What percentage rate of simple interest per annum did Ashok pay to Sudhir ?
(I) Ashok borrowed Rs.8000 from Sudhir for four years.
(II) Ashok returned Rs.8800 to Sudhir at the end of two years and settled the loan.
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: (a)
(I) gives P
(II) gives A and T
Now, since I = A – P and R = ${I × 100}/{P × T}$
Hence, both the statements together are sufficient to answer the question.
Question : 3
What is the average monthly income per family member?
(I) Each male earns Rs.1,250 a month and each female earns Rs.1,050 a month.
(II) Ratio of males to females in the family is 2 : 1
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: (a)
(I) ⇒ M = 1,250 and F = 1,050
(II) ⇒ M : F = 2 : 1
Combining both the statements, we get
Average = ${2K × 1250 + K × 1050}/{3K}$
⇒ Both statements together are sufficient to answer the question.
Question : 4
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.
Question : 5
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.
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
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.
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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