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Solve the following question and mark the best possible option.
Three casks of equal capacities contain three liquids A, B & C in the ratio 1 : 2 : 3, 3 : 4 : 5 & 5 : 6 : 7 respectively. The mixtures from these casks are taken in the ratio 1 : 2 : 3 and poured into a 4th cask with the same capacity as that of the three casks and the cask is completely filled. What is the ratio of the liquids A, B and C in the resulting mixture?
  • a)
    25 : 36 : 47
  • b)
    16 : 21 : 26
  • c)
    3 : 4 : 5
  • d)
    1 : 2 : 3
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
Solve the following question and mark the best possible option.Three c...
(1 + 2 + 3) = 6, (3 + 4 + 5) = 12 & (5 + 6 + 7) = 18.
Common multiple of (6, 12, 18) = 36.
So let us fix the capacities of the four casks as 36 litres each.
Since the mixtures are taken in the ratio 1:2:3, 6litres, 12 litres and 18 litres mixture are drawn from the three casks respectively.
Hence the ratio of the liquids in the resulting mixture is 9 : 12 : 15 = 3 : 4 : 5
Hence option 3
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Most Upvoted Answer
Solve the following question and mark the best possible option.Three c...
To solve this question, we need to compare the average concentrations of liquids A, B, and C in each cask.

Let's assume the capacity of each cask is 100 liters.

Cask 1:
Contains liquid A with a concentration of 10%.
So, the amount of liquid A in Cask 1 = 10% of 100 liters = 10 liters.

Cask 2:
Contains liquid B with a concentration of 20%.
So, the amount of liquid B in Cask 2 = 20% of 100 liters = 20 liters.

Cask 3:
Contains liquid C with a concentration of 30%.
So, the amount of liquid C in Cask 3 = 30% of 100 liters = 30 liters.

Now, let's calculate the average concentration of each liquid in each cask:

Cask 1:
Average concentration of liquid A = (Amount of liquid A / Capacity of cask) * 100
= (10 liters / 100 liters) * 100
= 10%

Cask 2:
Average concentration of liquid B = (Amount of liquid B / Capacity of cask) * 100
= (20 liters / 100 liters) * 100
= 20%

Cask 3:
Average concentration of liquid C = (Amount of liquid C / Capacity of cask) * 100
= (30 liters / 100 liters) * 100
= 30%

Therefore, the best possible option is:
Cask 3 contains liquid C with an average concentration of 30%.
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The passage below is accompanied by a set of questions. Choose the best answer to each question.Humans today make music. Think beyond all the qualifications that might trail after this bald statement: that only certain humans make music, that extensive training is involved, that many societies distinguish musical specialists from nonmusicians, that in today’s societies most listen to music rather than making it, and so forth. These qualifications, whatever their local merit, are moot in the face of the overarching truth that making music, considered from a cognitive and psychological vantage, is the province of all those who perceive and experience what is made. We are, almost all of us, musicians — everyone who can entrain (not necessarily danc e) to a beat, who can recognize a repeated tune (not necessarily sing it), who can distinguish one instrument or one singing voice from another. I will often use an antique word, recently revived, to name this broader musical experience. Humans are musicking creatures.The set of capacities that enables musicking is a principal marker of modern humanity. There is nothing polemical in this assertion except a certain insistence, which will figure often in what follows, that musicking be included in our thinking about fundamental human commonalities. Capacities involved in musicking are many and take shape in complicated ways, arising from innate dispositions . . . Most of these capacities overlap with nonmusical ones, though a few may be distinct and dedicated to musical perception and production. In the area of overlap, linguistic capacities seem to be particularly important, and humans are (in principle) language-makers in addition to music-makers — speaking creatures as well as musicking ones.Humans are symbol-makers too, a feature tightly bound up with language, not so tightly with music. The species Cassirer dubbed Homo symbolicus cannot help but tangle musicking in webs of symbolic thought and expression, habitually making it a component of behavioral complexes that form such expression. But in fundamental features musicking is neither language-like nor symbol-like, and from these differences come many clues to its ancient emergence.If musicking is a primary, shared trait of modern humans, then to describe its emergence must be to detail the coalescing of that modernity. This took place, archaeologists are clear, over a very long durée: at least 50,000 years or so, more likely something closer to 200,000, depending in part on what that coalescence is taken to comprise. If we look back 20,000 years, a small portion of this long period, we reach the lives of humans whose musical capacities were probably little different from our own. As we look farther back we reach horizons where this similarity can no longer hold — perhaps 40,000 years ago, perhaps 70,000, perhaps 100,000. But we never cross a line before which all the cognitive capacities recruited in modern musicking abruptly disappear. Unless we embrace the incredible notion that music sprang forth in full-blown glory, its emergence will have to be tracked in gradualist terms across a long period.This is one general feature of a history of music’s emergence . . . The history was at once sociocultural and biological . . . The capacities recruited in musicking are many, so describing its emergence involves following several or many separate strands.Which one of the following sets of terms best serves as keywords to the passage?

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Solve the following question and mark the best possible option.Three casks of equal capacities contain three liquids A, B & C in the ratio 1 : 2 : 3, 3 : 4 : 5 & 5 : 6 : 7 respectively. The mixtures from these casks are taken in the ratio 1 : 2 : 3 and poured into a 4th cask with the same capacity as that of the three casks and the cask is completely filled. What is the ratio of the liquids A, B and C in the resulting mixture?a)25 : 36 : 47b)16 : 21 : 26c)3 : 4 : 5d)1 : 2 : 3Correct answer is option 'C'. Can you explain this answer?
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