Management Aptitude Test Dec 2019 Paper

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Directions (Q. Nos. 156-160) Each question are followed by two Statements I and II giving certain data. Answer each question using the following instructions.
Give Answer
(1) If the question can be answered by using Statement 1 alone but not by using II alone
(2) If the question can be answered by using Statement II alone but not by using Statement I
(3) If the question can be answered by using either Statement I or II alone
(4) If the question can be answered by using both the statements together but not by either Statement I or II alone
(5) If the question cannot be answered by Statements I and II even taken together

Question : 160 of 200

Marks: +1, -0

There are two groups of people;

P

and

Q .

In group

P

, each person works with the same efficiency. In group

Q

, each person works with the same efficiency. Is the time taken by one person from group

P

and one person from group

Q

to complete a job more than 6 days?
I. Two person from

P

and three persons from

Q

can complete the job in

{12}/{5}

days.
II. Three persons from

P

and two persons from

Q

can complete the job in

{68}/{35}

days.

Your Answer:

Validate

Solution:

Let the time taken by each person of

P

and each person of

Q

to complete the job be

p

days and

q

days, respectively.
Using Statement I,

2({1}/{p})+3({1}/{q})={1}/{{12}/{5}}={5}/{12}

2({1}/{p}+{1}/{q})+{1}/{q}={5}/{12}

{1}/{p}+{1}/{q}={5}/{24}-{1}/{2 q}

⇒{1}/{p}+{1}/{q} < {5}/{24}

∴ Time taken

> {24}/{5}

days
So, Statement I is not sufficient.
Using Statement II,

3({1}/{p})+2({1}/{q})={35}/{68}

3({1}/{p}+{1}/{q})-{1}/{q}={35}/{68}

{1}/{p}+{1}/{q}={35}/{24}+{1}/{3 q}

{1}/{p}+{1}/{q}>{35}/{204}

∴

Time taken

>{204}/{35}

days, i.e. less than 6 days.
Hence, Statement II is not sufficient.
∴ Question cannot be answered by both statements.

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