Model 5 Split & Fraction of work Section-Wise Topic Notes With Detailed Explanation And Example Questions
MOST IMPORTANT quantitative aptitude - 7 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 »
The following question based on time & work topic of quantitative aptitude
(a) 6 days
(b) 8 days
(c) 4 days
(d) 9 days
The correct answers to the above question in:
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
Discuss Form
Read more split and fraction of work Based Quantitative Aptitude Questions and Answers
Question : 1
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 : 2
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 : 3
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 : 4
A and B together can complete a work in 24 days. B alone does $1/3$ rd part of this work in 12 days. How many days will A alone take to complete the remaining work?
a) 36 days
b) 24 days
c) 72 days
d) 48 days
Answer »Answer: (d)
B completes $1/3$ work in 12 days.
B will complete 1 work in 12 × 3 = 36 days.
B’s 1 day’s work = $1/36$
(A + B)’s 1 day’s work = $1/24$
A’s 1 day’s work = $1/24 - 1/36$
= ${3 - 2}/72 = 1/72$
Time taken by A in doing 1work = 72 days
∴ Remaining work
= $1 - 1/3 = 2/3$
Time taken by A in doing $2/3$ work
= $2/3$ × 72 = 48 days
Question : 5
A, B and C contract a work for Rs. 440. A and B together are to do $9/11$ of the work. The share of C should be :
a) Rs. 90
b) Rs. 75
c) Rs. 80
d) Rs. 100
Answer »Answer: (c)
Work done by A and B together = $9/11$ parts
Work done by C = $1 - 9/11 = 2/11$ parts
Total amount = Rs. 440
∴ C’s share = Rs.$(2/11 × 440)$ = Rs.80
Question : 6
A contractor undertook to complete a project in 90 days and employed 60 men on it. After 60 days, he found that $3/4$ of the work has already been completed. How many men can he discharge so that the project may be completed exactly on time ?
a) 20
b) 40
c) 15
d) 30
Answer »Answer: (a)
Using Rule 1,
Days | Work | Men |
60 | $3/4$ | 60 |
↑ | ↓ | ↓ |
30 | $1/4$ | x |
∴ ${30 : 60}/{3/4 : 1/4}]$ : : 60 : x
$30 × 3/4 × x = 60 × 1/4 × 60$
$x = {60 × 60}/{30 × 3}$ = 40
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 …
Verbal Reasoning
Question & Answer Quiz
Non Verbal Reasoning
Question & Answer Quiz
Quantitative Aptitude
Question & Answer Quiz
Computer MCQ
Question & Answer Quiz
General English
Question & Answer Quiz
History GK
Question & Answer Quiz
Polity GK
Question & Answer Quiz
Geography GK
Question & Answer Quiz
Economy GK
Question & Answer Quiz
General Awareness GK
Question & Answer Quiz
Recently Added Subject & Categories For All Competitive Exams
100+ Quadratic Equation Questions Answers PDF for Bank
Quadratic Equation multiple choice questions with detailed answers for IBPS RRB SO. more than 250 Attitude practice test exercises for all competitive exams
Continue Reading »
IBPS Aptitude Linear Equations MCQ Questions Answers PDF
Linear equations multiple choice questions with detailed answers for IBPS RRB SO. more than 250 Attitude practice test exercises for all competitive exams
Continue Reading »
New 100+ Compound Interest MCQ with Answers PDF for IBPS
Compound Interest verbal ability questions and answers solutions with PDF for IBPS RRB PO. Aptitude Objective MCQ Practice Exercises all competitive exams
Continue Reading »
100+ Mixture and Alligation MCQ Questions PDF for IBPS
Most importantly Mixture and Alligation multiple choice questions and answers with PDF for IBPS RRB PO. Aptitude MCQ Practice Exercises all Bank Exams
Continue Reading »