Unitary Method
- If 7 spiders make 7 webs in 7 days, then how many days are needed for 1 spider to make 1 web?
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7 spiders make 7 webs in 7 days.
∴ 1 spiders make 7 webs in 7 x 7 days.
....................................................................................................................Correct Option: B
7 spiders make 7 webs in 7 days.
∴ 1 spiders make 7 webs in 7 x 7 days.
∴ 1 spiders make 1 webs in 7 x 7 / 7 days.
∴ 1 spiders make 1 webs in 7 days.
- If the price of 357 apples is Rs. 1517.25, what will be the approximate price of 49 dozens of such apples?
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As we know that,
1 Dozen = 12 piece
49 Dozen = 49 x 12 piece
Price of 357 apples is Rs. 1517.25.
Price of 1 apples is Rs. 1517.25 / 357.
Price of 49 x 12 apples is Rs. 1517.25 x 49 x 12 / 357.Correct Option: A
As we know that,
1 Dozen = 12 piece
49 Dozen = 49 x 12 piece
Price of 357 apples is Rs. 1517.25.
Price of 1 apples is Rs. 1517.25 / 357.
Price of 49 x 12 apples is Rs. 1517.25 x 49 x 12 / 357.
Price of 49 x 12 apples is Rs. 1517.25 x 7 x 12 / 51.
Price of 49 x 12 apples is Rs. 1517.25 x 7 x 4 / 17.
Price of 49 x 12 apples is Rs. 2499.
So Price will be around 2500 and answer will be 2500.
- 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?
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As per given question,
In 1 minute, 6 identical machines can produce a total of 270 bottles.
In 1 minute, 1 identical machines can produce a total of 270 / 6 bottles.Correct Option: A
As per given question,
In 1 minute, 6 identical machines can produce a total of 270 bottles.
In 1 minute, 1 identical machines can produce a total of 270 / 6 bottles.
In 1 minute, 10 identical machines can produce a total of 270 x 10 / 6 bottles.
In 4 minute, 10 identical machines can produce a total of 270 x 10 x 4 / 6 bottles.
In 4 minute, 10 identical machines can produce a total of 45 x 10 x 4 bottles.
In 4 minute, 10 identical machines can produce a total of 1800 bottles.
- If 16 men working 7 hours day can plough a field in 48 days, in how many days will 14 men working 12 hours a clay plough the same field?
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16 men working 7 hours day can plough a field in 48 days.
1 men working 7 hours day can plough a field in 48 x 16 days.
1 men working 1 hours day can plough a field in 48 x 16 x 7 days.Correct Option: B
16 men working 7 hours day can plough a field in 48 days.
1 men working 7 hours day can plough a field in 48 x 16 days.
1 men working 1 hours day can plough a field in 48 x 16 x 7 days.
14 men working 1 hours day can plough a field in 48 x 16 x 7 / 14 days.
14 men working 12 hours day can plough a field in 48 x 16 x 7 / 14 x 12 days.
14 men working 12 hours day can plough a field in 48 x 16 / 2 x 12 days.
14 men working 12 hours day can plough a field in 48 x 4 / 2 x 3 days.
14 men working 12 hours day can plough a field in 48 x 2 / 3 days.
14 men working 12 hours day can plough a field in 16 x 2 = 32 days.
- 20 men complete one-third of a work in 20 days. How many more men should be employed to finish the rest of the work in 25 more days ?
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Work done = 1/3
Remaining work = 1 - (1/3) = 2/3
Let the number of more men to be employed be N.
More work, More men (Direct proportion)
More days, Less men (Indirect proportion)
Work 1/3 : 2/3
Days 25 : 20
∴ 1/3 x 25 x (20 + N) = 2/3 x 20 x 20Correct Option: B
Work done = 1/3
Remaining work = 1 - (1/3) = 2/3
Let the number of more men to be employed be N.
More work, More men (Direct proportion)
More days, Less men (Indirect proportion)
Work 1/3 : 2/3
Days 25 : 20
∴ 1/3 x 25 x (20 + N) = 2/3 x 20 x 20
⇒ (20 + N) = 800/25 = 32
∴ N = 32 - 20 = 12
