Model 5 Split & Fraction of work Practice Questions Answers Test with Solutions & More Shortcuts
time & work PRACTICE TEST [7 - EXERCISES]
Model 1 Basics on Time & Work
Model 2 Formula method ‘M1D1W1 = M2D2W2’
Model 3 Man leaves & joins
Model 4 Working with Man, Woman, Child
Model 5 Split & Fraction of work
Model 6 Efficiency of the worker
Model 7 Working with individual wages
Question : 21 [SSC CHSL 2015]
Janardan completes $2/3$ of his work in 10 days. Time he will take to complete $3/5$ of the same work, is
a) 6 days
b) 8 days
c) 4 days
d) 9 days
Answer »Answer: (d)
Using Rule 1,
${M_1D_1}/W_1= {M_2D_2}/W_2$
$10/{2/3} = D_2/{3/5}$
$30/2 = {5D_2}/3$
$D_2 = 30/2 × 3/5$ = 9 days
Question : 22 [SSC CGL Tier-II 2015]
Two workers A and B are engaged to do a piece of work. A working alone would take 8 hours more to complete the work than when work together. If B worked alone, would take 4$1/2$ hours more than when work together. The time required to finish the work together is
a) 4 hours
b) 5 hours
c) 6 hours
d) 8 hours
Answer »Answer: (c)
Time taken by A and B = x hours (let).
According to the question,
Time taken by A alone
= (x + 8) hours.
Time taken by B alone
= $(x + 9/2)$ hours.
$1/{x + 8} + 1/{x + {9/2}} = 1/x$
$1/{x + 8} + 2/{2x + 9} =1/x$
${2x + 9 + 2x + 16}/{(x + 8)(2x + 9)} = 1/x$
${4x + 25}/{2x^2 + 16x + 9x + 72} = 1/x$
$4x^2 + 25x = 2x^2 + 25x + 72$
$2x^2 = 72 ⇒ x^2 = 72/2 = 36$
x = $√{36}$ = 6 hours
Question : 23 [SSC CGL Prelim 2005]
A does $7/10$ part of work in 15 days. After that he completes the remaining work in 4 days with the help of B. In how many days will A and B together do the same work ?
a) 12$2/3$ days
b) 10$1/3$ days
c) 8$1/4$ days
d) 13$1/3$ days
Answer »Answer: (d)
Using Rule 2,
Remaining work = $1 - 7/10 = 3/10$
(A + B) take 4 days to do $3/10$ work
(A + B) will do the work in $4 × 10/3$ days
= $40/3 =13{1}/3$ days
Question : 24 [SSC CGL Tier-II 2015]
A company employed 200 workers to complete a certain work in 150 days. If only one fourth of the work has been done in 50 days, then in order to complete the whole work in time, the number of additional workers to be employed was
a) 300
b) 100
c) 200
d) 600
Answer »Answer: (b)
Using Rule 1,
200 workers do $1/4$ work in 50 days.
How many workers will do $3/4$ work in 100 days ?
Number of additional workers = x (let)
${M_1D_1}/W_1 = {M_2D_2}/W_2$
${200 × 50}/{1/4} = {(200 + x) × 100}/{3/4}$
(200 + x) 100 = 3 × 200 × 50
200 + x = 300
x = 300 - 200 = 100
Question : 25 [SSC CPO S.I.2003]
A can complete a work in 6 days while B can complete the same work in 12 days. If they work together and complete it, the portion of the work done by A is
a) $2/3$
b) $1/3$
c) $1/2$
d) $1/4$
Answer »Answer: (a)
Using Rule 2,
Time taken by A and B
= ${6 × 12}/{6 + 12} = {6 × 12}/18 = 4$
Work done by A in 4 days = $4/6 = 2/3$
IMPORTANT quantitative aptitude EXERCISES
-
Top 199+ Basic Time and Work Aptitude MCQs with Answers »
-
Top 200+ Time and Work Problem Solving By Formula Method »
-
New 189+ Time & Work MCQs Practice Test for BANK Exams »
-
Top 199+ Time & Work MCQs: Men Women Child for BANK Exam »
-
Top 199+ Time and Work Questions Test on Fraction of Work »
-
Top 199+ Time and Work Efficiency Based Aptitude MCQ Quiz »
-
New 299+ Time and Work Aptitude Test On Individual Wages »
Model 5 Split & Fraction of work Shortcuts »
Click to Read...Model 5 Split & Fraction of work Online Quiz
Click to Start..time & work Shortcuts and Techniques with Examples
-
Model 1 Basics on Time & Work
Defination & Shortcuts … -
Model 2 Formula method ‘M1D1W1 = M2D2W2’
Defination & Shortcuts … -
Model 3 Man leaves & joins
Defination & Shortcuts … -
Model 4 Working with Man, Woman, Child
Defination & Shortcuts … -
Model 5 Split & Fraction of work
Defination & Shortcuts … -
Model 6 Efficiency of the worker
Defination & Shortcuts … -
Model 7 Working with individual wages
Defination & Shortcuts …
quantitative aptitude CATEGORIES
RECENT BLOGS
Recently Added Subject & Categories For All Competitive Exams
SSC STENO: Speed Time and Distance MCQ Questions Test PDF
Free Time and Distance Aptitude-based Practice multiple questions with solutions, Quiz series, Mock Test & Download PDF for SSC Steno (Grade C & D) 2024 Exam
Continue Reading »
SSC STENO: Time & Work Questions Solved Problems with PDF
Free Time and work Aptitude-based Practice multiple questions with solutions, Quiz series, Mock Test & Downloadable PDF for SSC Steno (Grade C & D) 2024 Exam
Continue Reading »
SSC STENO 2024: Free Reading Comprehension MCQ Test PDF
Top Reading Comprehension English Section-wise multiple choice questions and answers, Full Mock Test Series & Online Quiz for SSC Steno Grade C & D 2024 Exam
Continue Reading »
Free Percentage Questions Answers for SSC STENO 2024 Exam
Important Top Percentage Aptitude-based multiple choice questions and answers practice quiz series, Online Mock Test PDF for SSC Steno Grade C & D 2024 Exam
Continue Reading »