Model 6  Efficiency of the worker Practice Questions Answers Test with Solutions & More Shortcuts

Question : 11 [SSC GL Tier-I 2013]

A does 20% less work than B. If A can complete a piece of work in 7$1/2$ hours, then B can do it in

a) 5 hours

b) 6$1/2$ hours

c) 6 hours

d) 5$1/2$ hours

Answer: (c)

A does 20% less work than B.

Ratio of time taken = 5 : 4

A completes a work in $15/2$ hours

Time taken by B to do the same work

= $15/2 × 4/5$ = 6 hours.

Question : 12 [SSC CHSL 2011]

A can do a work in 5 days less than the time taken by B to do it. If both of them together take11$1/9$ days, then the time taken by ‘B’ alone to do the same work (in days) is

a) 30

b) 15

c) 20

d) 25

Answer: (d)

Using Rule 2,

If the time taken by B to complete the work be x days,

then time taken by A = (x - 5) days

$1/x + 1/{x - 5} = 9/100$

⇒ ${x - 5 + x}/{x(x - 5)} = 9/100$

⇒ $9x^2 - 45x = 200x –500$

⇒ $9x^2 - 245x + 500 = 0$

⇒ $9x^2 - 225x - 20x + 500 = 0$

⇒ $9x (x - 25) - 20 (x - 25)$ = 0

⇒ $(x - 25) (9x - 20)$ = 0

⇒ $x = 25$ because $x ≠ 20/9$

Question : 13 [SSC CGL Tier-I 2016]

Shashi can do a piece of work in 20 days. Tanya is 25% more efficient than Shashi. The number of days taken by Tanya to do the same piece of work is :

a) 25

b) 15

c) 16

d) 18

Answer: (c)

Time taken by Shashi in doing 1 work = 20 days

Tanya is 25% more efficient than Shashi.

Time taken by Tanya

= $100/125 × 20$ = 16 days

Question : 14 [SSC CHSL 2011]

A is 30% more efficient than B, and can alone do a work in 23 days. The number of days, in which A and B, working together can finish the job is

a) 21 days

b) 11 days

c) 13 days

d) 20 days

Answer: (c)

Using Rule 2,

Time taken by B

= $130/100 × 23 = 299/10$ days

(A + B)’s 1 day’s work

= $1/23 + 10/299$

= ${13 + 10}/299 = 23/299 = 1/13$

Time taken by (A + B) = 13 days

Question : 15 [SSC CGL Prelim 2007]

To complete a work, A takes 50% more time than B. If together they take 18 days to complete the work, how much time shall B take to do it ?

a) 45 days

b) 30 days

c) 35 days

d) 40 days

Answer: (b)

Using Rule 2
If A completes a piece of work in 'x' days, and B completes the same work in 'y' days, then,
Work done by A in 1 day = $1/x$, Work done by B in 1 day = $1/y$
Work done by A and B in 1 day = $1/x + 1/y = {x + y}/{xy}$
Total time taken to complete the work by A and B both = $({xy}/{x + y})$

Let B alone can do the work in x days.

A can do the work in ${3x}/2$ days.

According to the question,

$1/x + 2/{3x} = 1/18 ⇒ {3 + 2}/{3x} = 1/18$

$5/{3x} = 1/18 ⇒ 3x = 18 × 5$

$x = {18 × 5}/3$ = 30 days

IMPORTANT quantitative aptitude EXERCISES

Model 6  Efficiency of the worker Shortcuts »

Click to Read...

Model 6  Efficiency of the worker Online Quiz

Click to Start..

Recently Added Subject & Categories For All Competitive Exams

New 150+ Percentage Questions For IBPS Clerk Prelims 2024

Free Top Percentage Quants Aptitude based Multiple Choice Questions and Answers Practice Test Series, Quiz PDF & Mock Test for IBPS Clerk Prelims 2024 Exam

04-May-2024 by Careericons

Continue Reading »

Classification Reasoning MCQ For IBPS Clerk Prelims 2024

Most Important 100+ Classification based Verbal Reasoning Ability Multiple choice questions and answers PDF, Free New Mock tests For IBPS Clerk Prelims 2024

03-May-2024 by Careericons

Continue Reading »

Ratio and Proportion Questions with Solutions, IBPS Clerk

New Ratio and Proportion Quants Aptitude based Multiple Choice Questions and Answers Practice Test Series, Quiz & Mock Test for IBPS Clerk Prelims 2024 Exam

02-May-2024 by Careericons

Continue Reading »

Top Analogy Reasoning Ability For IBPS Clerk Prelims 2024

Most Important Analogy based Verbal Reasoning Multiple choice questions and answers practice quiz series PDF, Free New Mock tests For IBPS Clerk Prelims 2024

01-May-2024 by Careericons

Continue Reading »