Data Sufficiency section 4 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) Kalpana is seven years old and is younger than Bhavana.
(II) Bhavana is two years older than Ramesh, who is six years old.
(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: (d)
(I) ⇒ Kalpana = 7 years < Bhavana
⇒ Bhavana ≠ 5 years
(II) ⇒ Bhavana = Ramesh + 2 = 6 + 2 = 8 years
Hence, each statement alone is sufficient to answer the question.
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Read more question and answers set 4 Based Verbal Reasoning Questions and Answers
Question : 1
Is the number $M/3$ an odd integer? (You may assume that $M/3$ is an integer)
(I) M = 3K, where K is an integer.
(II) M = 6J + 3, where J is an interger.
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: (b)
(1) ⇒ $M/3 = K$
∴ $M/3$ may be odd or even. Therefore it is not sufficient to answer the question.
(II) ⇒ $M/3$ = 2J + 1, which is always odd because J is an integer.
∴ Statement (II) alone is sufficient to answer the question.
Question : 2
How much is the average salary of the 30 assembly workers? The foreman is paid a salary of Rs.12,000.
(I) The total salary paid to the 30 assembly workers and the foreman is Rs.312,000
(II) The foreman's salary is 120% of the average salary of the 30 assembly workers.
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) ⇒ Total salary of 30 assembly workers
$T_s$ = Total salary – salary of foreman and required average = ${T_S}/{30}$
(II) ⇒ Foreman's salary = 12,000 = 120% of average salary of assembly workers
⇒ Average salary = ${12,000 × 100}/{120}$
Hence, each statement alone is sufficient to answer the question.
Question : 3
Is x greater than y?
(I) x is a multiple of y.
(II) $x/6 = y/3$
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: (b)
Since the multiple may be a whole number or a fraction. Therefore, (I) is not sufficient to answer the question.
(II) ⇒ $x/6 = y/3$
which means x > y
Hence, (II) is sufficient to answer the question.
Question : 4
A train crosses a signal post in X seconds. What is the length of the train?
(I) The train crosses a platform of 100 metres in Y seconds
(II) The train is running at the speed of 80 km/hr.
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)
Let the length of the train be 'L' m.
Speed of the train = $L/X$
(I) ⇒ $L/X = {L + 100}/Y ⇒ L = {100X}/{Y - X}$
(II) ⇒ L = 80 × $5/{18} X = {200X}/9$
Therefore, each statement alone is sufficient to answer the question.
Question : 5
Who scored highest among A, B, C, D and E?
(I) B scored more than D, but not as much as C.
(II) E scored more than C, but not more than A.
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) ⇒ C > B > D
(II) ⇒ A > E > C
Combining both, we get A > E > C > B > D
Hence both statements together are necessary.
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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