Model 2 Formula method ‘M1D1W1 = M2D2W2’ 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 : 6 [SSC CGL Tier-I 2016]
A and B undertake a piece of work for Rs. 250. A alone can do that work in 5 days and B alone can do that work in 15 days. With the help of C, they finish the work in 3 days. If every one gets paid in proportion to work done by them, the amount C will get is :
a) Rs.50
b) Rs.100
c) Rs.200
d) Rs.150
Answer »Answer: (a)
Let C alone complete the work in x days.
According to the question,
$1/5 + 1/15 + 1/x = 1/3$
$1/x = 1/3 - 1/5 - 1/15$
= ${5 - 3 - 1}/15 = 1/15$
x = 15 days = Time taken by C alone.
Ratio of the 1 day’s work of A, B and C
= $1/5 : 1/15 : 1/15$ = 3 : 1 : 1
Sum of the terms of ratio
= 3 + 1 + 1 = 5
C’s share
= Rs.$(1/5 × 250)$ = Rs.50
Question : 7 [SSC CGL Prelim 2000]
The average wage of 500 workers was found to be Rs.200. Later on, it was discovered that the wages of two workers were misread as 180 and 20 instead of 80 and 220. The correct average wage is :
a) Rs.200.10
b) Rs.200.20
c) Rs.201.00
d) Rs.200.50
Answer »Answer: (b)
Total wages of 500 workers
= 500 × 200 = Rs.100000
Now, according to question,
Correct Average
= ${(100000 - 180 - 20 + 80 + 220)}/500$
= $100100/500$ = Rs.200.20
Question : 8 [SSC CGL Tier-I 2016]
A can do a work in 12 days while B can do it in 15 days. They undertake to complete it together for Rs.450. what will be the share of A in this amount of money ?
a) Rs.200
b) Rs.240
c) Rs.300
d) Rs.250
Answer »Answer: (d)
Ratio of A’s and B’s 1 day’s work
= $1/12 : 1/15$ = 15 : 12 = 5 : 4
Sum of the terms of ratio
= 5 + 4 = 9
A’s share
= Rs.$(5/9 × 450)$ = Rs.250
Question : 9 [SSC CGL Tier-I 2016]
A, B and C can work together for Rs. 550. A and B together are to do $7/11$ of the work. The share of C should be
a) Rs.200
b) Rs.300
c) Rs.450
d) Rs.400
Answer »Answer: (a)
Part of work done by C
= $1 - 7/11 = 4/11$
Total amount received = Rs.550
C’s share
= Rs.$(4/11 × 550)$ = Rs.200
Question : 10 [SSC CGL Tier-II 2014]
A, B and C are employed to do a piece of work for Rs.575. A and C are supposed to finish $19/23$ of the work together. Amount shall be paid to B is
a) Rs.210
b) Rs.100
c) Rs.475
d) Rs.200
Answer »Answer: (b)
Work done by B
= $1 - 19/23 = {23 - 19}/23 = 4/23$
(A + C) : B = $19/23 : 4/23$ = 19 : 4
Sum of ratios = 19 + 4 = 23
B’s share = $4/23 × 575$ = Rs.100
IMPORTANT quantitative aptitude EXERCISES
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Top 199+ Time and Work Efficiency Based Aptitude MCQ Quiz »
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New 299+ Time and Work Aptitude Test On Individual Wages »
Model 2 Formula method ‘M1D1W1 = M2D2W2’ Shortcuts »
Click to Read...Model 2 Formula method ‘M1D1W1 = M2D2W2’ Online Quiz
Click to Start..time & work Shortcuts and Techniques with Examples
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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 …
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