Model 2 Formula method ‘M1D1W1 = M2D2W2’ Section-Wise Topic Notes With Detailed Explanation And Example Questions
MOST IMPORTANT quantitative aptitude - 7 EXERCISES
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The following question based on time & work topic of quantitative aptitude
(a) Rs.800
(b) Rs.600
(c) Rs.750
(d) Rs.900
The correct answers to the above question in:
Answer: (b)
Using Rule 25,
Ratio of wages of A, B and C respectively
= 5 × 6 : 6 × 4 : 4 × 9
= 30 : 24 : 36 = 5 : 4 : 6
Amount received by A
= $5/{5 + 4 + 6} × 1800$
= $5/15 × 1800$ = Rs.600
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Read more formula method m1d1w1 m2d2w2 Based Quantitative Aptitude Questions and Answers
Question : 1
If there is a reduction in the number of workers in a factory in the ratio 15 : 11 and an increment in their wages in the ratio 22 : 25, then the ratio by which the total wages of the workers should be decreased is
a) 6 : 5
b) 5 : 6
c) 3 :5
d) 3 : 7
Answer »Answer: (a)
Using Rule 25,
Required ratio
= 15 × 22 : 11 × 25 = 6 : 5
Question : 2
A and B were assigned to do a job for an amount of Rs.1,200. A alone can do it in 15 days, while B can do it in 12 days. With the help of C, they can finish in 5 days. The share of amount that C earns is
a) Rs.300
b) Rs.400
c) Rs.600
d) Rs.500
Answer »Answer: (a)
Using Rule 25,
According to the question,
$1/15 + 1/12 + 1/C = 1/5$
Let C's work in day be $1/C$
$1/C = 1/5 - 1/15 - 1/12$
= ${12 - 4 - 5}/60 = 1/20$
A : B : C = $1/15 : 1/12 : 1/20$ = 4 : 5 : 3
C’s share= $3/12 × 1200$ = Rs.300
Question : 3
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 : 4
A daily-wage labourer was engaged for a certain number of days for Rs.5,750; but being absent on some of those days he was paid only Rs.5,000. What was his maximum possible daily wage?
a) Rs.125
b) Rs.250
c) Rs.500
d) Rs.375
Answer »Answer: (b)
It is required to find the highest common factor of 5750 and 5000,
because his daily wage is their common factor.
$5750/5000 = 1{750}/5000$
Hence, the daily wage is Rs.250.
Question : 5
A certain factory employed 600 men and 400 women and the average wage was Rs.2.55 per day. If a women got 50 paise less than a man, the daily wages of a man and a woman were
a) Man Rs.2.75, Woman Rs.2.25
b) Man Rs.5.30, Woman Rs.2.50
c) Man Rs.3.25, Woman Rs.2.75
d) Man Rs.2.50, Woman Rs.2.00
Answer »Answer: (a)
Let daily wages of a man be Rs.x.
Daily wages of a woman
= Rs.$(x - 1/2)$
According to the question,
600x + 400$(x - 1/2)$
= 1000 × 2.55
600x + 400x - 200 = 2550
1000x = 2550 + 200 = 2750
$x = 2750/1000$ = Rs.2.75
Daily wages of a woman
= Rs.(2.75 - 0.5) = Rs.2.25
Question : 6
A man and a boy received Rs.800 as wages for 5 days for the work they did together. The man’s efficiency in the work was three times that of the boy. What are the daily wages of the boy ?
a) Rs.76
b) Rs.56
c) Rs.40
d) Rs.44
Answer »Answer: (c)
Man : boy = 3 : 1
Boy's share = $1/4 × 800$ = Rs.200
The daily wages of boy
= Rs.$(200/5)$ = Rs.40
Using Rule 16If the efficiency to work of A is twice the efficiency to work of B, then, A:B (efficiency) = 2x:x and A:B (time) = t:2t
A:B = 3x:x and A:B = t:3t
Share of boy
= $t/{t + 3t} × 800$ = 200
Daily wages of boy = $200/5$ = Rs.40
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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