Quantitative Aptitude

Data Sufficiency 1

Quantitative Aptitude Exercise Mode

Data Sufficiency 1

Practice and master this topic with our carefully crafted questions.

2 Questions
3 Minutes
0% Completed
QUEST ? ✓ !
Directions to Solve

Each of the questions given below consists of a statement and / or a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statement(s) is / are sufficient to answer the given question. Read the both statements and

Give answer (A) if the data in Statement I alone are sufficient to answer the question, while the data in Statement II alone are not sufficient to answer the question.

Give answer (B) if the data in Statement II alone are sufficient to answer the question, while the data in Statement I alone are not sufficient to answer the question.

Give answer (C) if the data either in Statement I or in Statement II alone are sufficient to answer the question.

Give answer (D) if the data even in both Statements I and II together are not sufficient to answer the question.

Give answer(E) if the data in both Statements I and II together are necessary to answer the question.

Question 1

A and B together can complete a task in 7 days. B alone can do it in 20 days. What part of the work was carried out by A?

I. 

A completed the job alone after A and B worked together for 5 days.

 II. 

Part of the work done by A could have been done by B and C together in 6 days.

A
I alone sufficient while II alone not sufficient to answer
B
II alone sufficient while I alone not sufficient to answer
C
Either I or II alone sufficient to answer
D
Both I and II are not sufficient to answer
E
Both I and II are necessary to answer
Correct Answer: Option A

B's 1 day's work = 1
20

(A+ B)'s 1 day's work = 1
7

 I. (A + B)'s 5 day's work = 5
7

Remaining work = 1 - 5 = 2 .
7 7

2 work was carried by A.
7

II. is irrelevant.

Correct answer is (A).

Question 2

How long will Machine Y, working alone, take to produce x candles?

I. 

Machine X produces x candles in 5 minutes.

 II. 

Machine X and Machine Y working at the same time produce x candles in 2 minutes.

A
I alone sufficient while II alone not sufficient to answer
B
II alone sufficient while I alone not sufficient to answer
C
Either I or II alone sufficient to answer
D
Both I and II are not sufficient to answer
E
Both I and II are necessary to answer
Correct Answer: Option E

 I. gives,

Machine X produces x candles in 1 min.
5

II. gives,

Machine X and Y produce x candles in 1 min.
2

From I and II,

Y produces x - x = 3x candles in 1 min.
2 5 10

3x candles are produced by Y in 1 min.
10

x candles will be produced by Y in :

10 x x min = 10 min.
3x 3

Thus, I and II both are necessary to get the answer.

Correct answer is (E).