1.
Running at the same constant rate, 6 identical machines can produce a total of 270 bottles per minute. At this rate, how many bottles could 10 such machines produce in 4 minutes?
• A.
648
• C.
2700
• B.
1800
• D.
10800
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Explanation :

Let the required number of bottles be Rs. x.

More machines, More bottles (Direct Proportion)

More minutes, More bottles (Direct Proportion)

 Machines 6 : 10 Time (in Minutes) 1 : 4
:: 270 : x

6 x 1 x x = 10 x 4 x 270

x =
 10 x 4 x 270 6

x = 1800

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2.
If 5 men or 9 women can do a piece of work in 19 days, then in how many days will 3 men and 6 women do the same work?
• A.
12
• C.
18
• B.
15
• D.
21
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Explanation :

Let the required number of days be x.

5 men = 9 women 3 men =
 9 5
x 3   Women =
 27 5
Women.

(3 men and 6 women) =
 27 5
+ 6   Women =
 57 5
Women.

Now, More women, Less days (Indirect Proportion)

 57 5
: 9 :: 19 : x
 57 5
x x = 9 x 19 x =   9 x 19 x
 5 57
= 15

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3.
An industrial loom weaves 0.128 metres of cloth every second. Approximately, how many seconds will it take for the loom to weave 25 metres of cloth?
• A.
178
• C.
204
• B.
195
• D.
488
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Explanation :

Let the required time be x seconds. Then, More metres, more time ( Direct Proportion)

0.128 : 25 :: 1 : x

0.128 x x = 25 x 1

x =
 25 0.128

 25 x 1000 128

x = 195.31

Required time = 195 sec (approximately)

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4.
400 persons, working 9 hours per day complete
 1 4
th of the work in 10 days. The number
of additional persons. Working 8 hours per day, required to complete the remaining work in 20 days, is
• A.
675
• C.
250
• B.
275
• D.
225
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Explanation :

Let the number of persons completing the work in 20 days be x.

Work done =
 1 4
, Remaining work =   1 -
 1 4
=
 3 4

Less hours per day, More men required (Indirect Proportion)

More work, More men required (Direction Proportion)

More days, Less men required (Indirect Proportion)

Hours per day  8 : 9
Work
 1 4
:
 3 4

Days 20 : 10
:: 400 : x

8 x
 1 4
x 20 x x = 9 x
 3 4
x 10 x 400

40x = 27000

x = 675

Additional men = (675 – 400) = 275

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5.
30 labourers, working 7 hours a day can finish a piece of work in 18 days. If the labourers work 6 hours a day, then the number of labourers to finish the same piece of work in 30 days, will be:
• A.
15
• C.
22
• B.
21
• D.
25
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Explanation :

Let the required number of laourers be x. Then,

Less working hrs / day, More Labourers (Indirect Proportion)

More days, Less Labourers (Indirect Proportion)

 Working Hrs / Day 6 : 7 Days 30 : 18
:: 30 : x

6 x 30 x x = 7 x 18 x 30

6x = 126

x = 21

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