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 : 26 [SSC CGL Tier-II 2013]
Three persons undertake to complete a piece of work for Rs.1,200. The first person can complete the work in 8 days, second person in 12 days and third person in 16 days. They complete the work with the help of a fourth person in 3 days. What does the fourth person get?
a) Rs.180
b) Rs.200
c) Rs.250
d) Rs.225
Answer »Answer: (d)
Rule 3 and Rule 25,
If the fourth person completes the work in x days, then
$3/8 + 3/12 + 3/16 + 3/x = 1$
$1/x = 1/3 - 1/8 - 1/12 - 1/16$
= ${16 - 6 - 4 - 3}/48 = 1/16$ ⇒ x = 16
Ratio of wages
= $1/8 : 1/12 : 1/16 : 1/16$
= 6 : 4 : 3 : 3
Sum of ratios = 6 + 4 + 3+3 = 16
Fourth person’s share
= $3/16 × 1200$ = Rs.225
Question : 27 [SSC CGL Prelim 2007]
A labourer was appointed by a contractor on the condition that he would be paid Rs.75 for each day of his work but would be fined at the rate of Rs.15 per day for his absence, apart from losing his wages, After 20 days, the contractor paid the labourer Rs.1140. The number of days the labourer abstained from work was
a) 3
b) 5
c) 2
d) 4
Answer »Answer: (d)
Total salary for 20 days
= Rs.(75 × 20) = Rs.1500
Actual salary received = Rs.1140
Difference = Rs.(1500 - 1140) = Rs.360
Money deducted for 1 day’s absence from work
=Rs.(15 + 75) = Rs.90
Number of days he was absent
= $360/90 = 4$ days
Question : 28 [SSC CGL Tier-II 2015]
2 men and 1 woman can complete a piece of work in 14 days while 4 women and 2 men can do the same work in 8 days. If a man gets Rs. 180 per day, then a woman will get per day
a) Rs.150
b) Rs.140
c) Rs.160
d) Rs.120
Answer »Answer: (d)
(2 men + 1 woman)’s 14 days’ work
≡ (4 women + 2 men)’s 8 days’ work
28 men + 14 women
≡ 32 women + 16 men
(28 - 16) = 12 men
≡ (32 - 14) = 18 women
2 men ≡ 3 women
1 woman ≡ $2/3$ man
Since, Wages per day of 1 man = Rs. 180
Wages per day of 1 woman
= $2/3$ × 180 = Rs. 120
Question : 29 [SSC CGL Tier-II 2015]
If a man earns Rs.2000 for his first 50 hours of work in a week and is then paid one and a half times his regular hourly rate for any additional hours, then the hours must he work to make Rs.2300 in a week is
a) 6 hours
b) 4 hours
c) 5 hours
d) 7 hours
Answer »Answer: (c)
Earning in the first one hour
= $2000/50$ = Rs.40
Earnings for additional 5 hours
= 40 × $3/2$ × 5 = Rs.300
Question : 30 [SSC CGL Tier-II 2016]
The daily wages of A and B respectively are Rs.3.50 and Rs.2.50. When A finishes a certain work, he gets a total wage of Rs.63. When B does the same work, he gets a total wage of Rs.75. If both of them do it together what is the cost of the work ?
a) Rs.67.50
b) Rs.27.50
c) Rs.70.50
d) Rs.60.50
Answer »Answer: (a)
Time taken by A
= $63/{3.50}$ = 18 days
Time taken by B
= $75/{2.5}$ = 30 days
(A + B)’s 1 day’s work
= $1/18 + 1/30$
= ${5 + 3}/90 = 8/90 = 4/45$
Required time = $45/4$ days
Total wages
= Rs.$45/4$ × (3.50 + 2.50)
= Rs.$(45/4 × 6)$ = Rs.67.5
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Top 199+ Time and Work Efficiency Based Aptitude MCQ Quiz »
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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
-
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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