All India GMAT Group

Which of the following best completes the argument?
Dexter Solutions is one of the most successful Information Technology (IT) consulting companies around the world. It primarily deals in cloud computing domain. Alex is an IT consultant who specializes in IT infrastructure services. Q. Thus, Alex surely cannot be a consultant at Dexter Solutions because __________.
  • a)
    Alex has no skills in cloud computing.
  • b)
    Dexter Solutions does no business in the IT infrastructure services domain.
  • c)
    there is no overlap between Alex's skill-set and the domains that Dexter Solutions does business in.
  • d)
    the global market size of the IT infrastructure services consulting business is small.
  • e)
    an IT consultant who specializes in IT infrastructure services cannot qualify to be a cloud computing expert.
Correct answer is option 'C'. Can you explain this answer?

Isha Sen answered  •  2 hours ago
Overview:
The argument states that Dexter Solutions is a successful IT consulting company specializing in cloud computing. It also mentions that Alex is an IT consultant specializing in IT infrastructure services. The question asks why Alex cannot be a consultant at Dexter Solutions.

Analysis:
To determine why Alex cannot be a consultant at Dexter Solutions, we n
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Because her parents will no longer support her, Julie either now or after she graduates from college will be forced to enter the job market.
  • a)
    either now or after she graduates from college will be forced to enter the jobmarket
  • b)
    will either be forced to enter the job market after she graduates from collegeor is now
  • c)
    will be forced to enter the job market either soon or after she graduates fromcollege
  • d)
    either will be now forced to enter the job market or will be after she graduatesfrom college
  • e)
    is either now or will be after she graduates from college forced to enter thejob market
Correct answer is option 'C'. Can you explain this answer?

Maya Khanna answered  •  11 hours ago
Explanation:
The correct answer is option C: "Julie will be forced to enter the job market either soon or after she graduates from college."

Explanation:
- The original sentence states that Julie will be forced to enter the job market because her parents will no longer support her.
- The sentence also presents two possible timeframes for this to happen: ei
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Contrary to popular opinion, it may be that increasing fatal automobile accidents as a result of producing faster cars would be beneficial to society at large.
  • a)
    increasing fatal automobile accidents as a result of producing
  • b)
    increased fatal automobile accidents resulting from the production of
  • c)
    increasing fatal accidents in automobiles resulting from the production of
  • d)
    fatal automobile accidents that had increased from producing
  • e)
    fatal automobile accidents that increased from producing
Correct answer is option 'B'. Can you explain this answer?

Maya Khanna answered  •  11 hours ago
Increased fatal automobile accidents resulting from the production of faster cars may be beneficial to society at large.

Explanation:
There are several reasons why option B is the correct answer:

1. Clarity and Conciseness:
Option B is the most concise and clear option among the choices provided. It uses the past participle "increased" to modify "fatal automobile ac
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Palak Saha asked a question

Directions: Read the Passage carefully and answer the question as follow.
Archaeology as a profession faces two major prob-
lems. First, it is the poorest of the poor. Only paltry
sums are available for excavating and even less is avail-
able for publishing the results and preserving the sites 
(5)  once excavated. Yet archaeologists deal with priceless
objects every day. Second, there is the problem of illegal 
excavation, resulting in museum-quality pieces being 
sold to the highest bidder.
I would like to make an outrageous suggestion that 
(10) would at one stroke provide funds for archaeology and 
reduce the amount of illegal digging. I would propose 
that scientific archeological expeditions and govern-
mental authorities sell excavated artifacts on the open 
market. Such sales would provide substantial funds for 
(15) the excavation and preservation of archaeological sites 
and the publication of results. At the same time, they 
would break the illegal excavator’s grip on the market, 
thereby decreasing the inducement to engage in illegal 
activities.
(20) You might object that professionals excavate to 
acquire knowledge, not money. Moreover, ancient arti-
facts are part of our global cultural heritage, which 
should be available for all to appreciate, not sold to the 
highest bidder. I agree. Sell nothing that has unique
(25) artistic merit or scientific value. But, you might reply,
everything that comes our of the ground has scientific 
value. Here we part company. Theoretically, you may be 
correct in claiming that every artifact has potential scien-
tific value. Practically, you are wrong.
(30) I refer to the thousands of pottery vessels and ancient 
lamps that are essentially duplicates of one another. In 
one small excavation in Cyprus, archaeologists recently 
uncovered 2,000 virtually indistinguishable small jugs in
a single courtyard, Even precious royal seal impressions 
(35) known as/melekh handles have been found in abun-
dance---more than 4,000 examples so far.
The basements of museums are simply not large 
enough to store the artifacts that are likely to be discov-
ered in the future. There is not enough money even to 
(40) catalogue the finds; as a result, they cannot be found 
again and become as inaccessible as if they had never 
been discovered. Indeed, with the help of a computer,
sold artifacts could be more accessible than are the 
pieces stored in bulging museum basements. Prior to 
(45) sale, each could be photographed and the list of the 
purchasers could be maintained on the computer A
purchaser could even be required to agree to return the 
piece if it should become needed for scientific purposes.
It would be unrealistic to suggest that illegal digging 
(50) would stop if artifacts were sold on the open market.
But the demand for the clandestine product would be 
substantially reduced. Who would want an unmarked 
pot when another was available whose provenance was 
known, and that was dated stratigraphically by the 
professional archaeologist who excavated it?
Q. The author’s argument concerning the effect of the official sale of duplicate artifacts on illegal excavation is based on which of the following assumptions?
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The field of mathematics, which in recent years was neglected by elementary school teachers, who prefer topics that can be easily illustrated by hands-on activities.
  • a)
    mathematics, which in recent years was
  • b)
    mathematics that was to be
  • c)
    mathematics, one which has, in recent years, been
  • d)
    mathematics is one that in recent years has been
  • e)
    mathematics, in recent years, is one that was
Correct answer is option 'D'. Can you explain this answer?

Maya Khanna answered  •  11 hours ago
The correct answer is option 'D': mathematics is one that in recent years has been.

Explanation:

To determine the correct answer, let's analyze the sentence structure and meaning.

Sentence Structure:
The sentence begins with the main subject "the field of mathematics" and is followed by a relative clause "which in recent years was neglected by elementary schoo
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Jake buys 4 items each from a grocery store on all weekdays (Monday to Friday) but doesn’t buy anything on a weekend. If he starts buying on Monday and buys a total of 1008 items by some day, then what day is that?
  • a)
    Monday
  • b)
    Tuesday
  • c)
    Wednesday
  • d)
    Thursday
  • e)
    Friday
Correct answer is option 'B'. Can you explain this answer?

Nandita Yadav answered  •  15 hours ago
Problem Analysis:
Jake buys 4 items each from a grocery store on all weekdays (Monday to Friday) but doesn't buy anything on a weekend. We need to determine which day he will reach a total of 1008 items.

Solution:
We know that Jake buys 4 items each day from Monday to Friday. Therefore, the total number of items purchased in a week (5 days) is 5 * 4 = 20 items.... more

During a recent excavation, fragments of a ceremonial urn dating back around 1500 years were discovered in a New Mexico canyon. Prior to this finding, it was believed that the Pueblo tribes who lived in the area around that time made their pottery by hand. However, further investigation revealed that the light brown clay used to create the urn, popularly known as ‘golden clay,’ could only have been fashioned into an urn with the use of a pottery wheel.
Which of the following, if true, would, together with the information above, provide the best basis for the conclusion that the fragments of the urn are evidence that the Pueblos used the pottery wheel?
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Alolika Bhunia answered  •  23 hours ago
E

Suzy and Marie decide to help Leslie with her thesis. Suzy can type 3 chapters per hour, Leslie can type 5 chapters per hour, and Marie can type 6 chapters per hour. If the thesis contains 28 chapters, how many hours with it take the three of them, working together, to complete the thesis?
  • a)
    1/2
  • b)
    3/4
  • c)
    1
  • d)
    2
  • e)
    14/3
Correct answer is option 'D'. Can you explain this answer?

Gitanjali Kumar answered  •  yesterday
To find the answer, we need to determine the combined typing speed of Suzy, Leslie, and Marie and divide the total number of chapters by their combined typing speed.

Given information:
- Suzy can type 3 chapters per hour
- Leslie can type 5 chapters per hour
- Marie can type 6 chapters per hour
- The thesis contains 28 chapters

Step 1: Calculate the com
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To find the combined typing speed, we need to add up the individual typing speeds of Suzy, Leslie, and Marie.

Combined typing speed = Suzy's typing speed + Leslie's typing speed + Marie's typing speed
= 3 + 5 + 6
= 14 chapters per hour

Step 2: Calculate the time required
To find the time required to complete the thesis, we need to divide the total number of chapters by the combined typing speed.

Time required = Total number of chapters / Combined typing speed
= 28 / 14
= 2 hours

Therefore, it will take the three of them, working together, 2 hours to complete the thesis.

Hence, the correct answer is option D) 2.

If r and s are positive integers such that (2r)(4s) = 16, then 2r + s =
  • a)
    2
  • b)
    3
  • c)
    4
  • d)
    5
  • e)
    6
Correct answer is option 'D'. Can you explain this answer?

Chirag Roy answered  •  yesterday
Given information:
- r and s are positive integers
- (2r)(4s) = 16

Explanation:
To find the value of 2r * s, we need to simplify the given equation and solve for r and s.

1. Simplify the equation:
(2r)(4s) = 16

Using the distributive property, we can simplify the equation as follows:
8rs = 16

2. Solve for rs:
Divide both sid
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The range of the data 23,25,12,10,24 is?

Abhishek Kapoor answered  •  2 days ago
The Range of the Data 23, 25, 12, 10, 24 is 15

The range of a set of data is the difference between the highest and lowest values within that set. To calculate the range, we need to determine the highest and lowest values in the given data set and then find the difference between the two.

Identifying the highest and lowest values
To find the highest and low
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A contractor combined x tons of a gravel mixture that contained 10 percent gravel G, by weight, with y tons of a mixture that contained 2 percent gravel G, by weight, to produce z tons of a mixture that was 5 percent gravel G, by weight. What is the value of x ?
(1) y = 10
(2) z = 16
  • a)
    Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked
  • b)
    Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked
  • c)
    BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient
  • d)
    EACH statement ALONE is sufficient to answer the question asked
  • e)
    Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are needed
Correct answer is option 'D'. Can you explain this answer?

Amar Chakraborty answered  •  2 days ago
To find the value of x, we need to determine the amount of gravel G in the mixture produced.

Let's break down the problem step by step:

1. The contractor combined x tons of a gravel mixture that contained 10 percent gravel G, by weight.
2. The contractor also combined y tons of a mixture that contained 2 percent gravel G, by weight.
3. The resulting mixture produced
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There are y different travelers who each have a choice of vacationing at one of n different destinations. What is the probability that all y travelers will end up vacationing at the same destination?  
  • a)
    1/n! 
  • b)
    n/n! 
  • c)
    1/ny 
  • d)
    1/ny -1
  • e)
    n/yn 
Correct answer is option 'D'. Can you explain this answer?

Krithika Datta answered  •  2 days ago
Probability of all travelers vacationing at the same destination

To solve this problem, let's break it down step by step.

1. Total number of outcomes:
- Each traveler has a choice of n different destinations, so the total number of outcomes for one traveler is n.
- Since there are y travelers, the total number of outcomes for all y travelers is n^y.

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. Full-wave rectification. . 100 - 4A meter movement. . 150-V range. < limiting="" error="" of="" ‡3%="" at="" full="" scale.="" (refer="" to="" chapter="" 1="" for="" a="" discussion="" of="" limiting="" error.)?="" limiting... more

Krithika Datta answered  •  2 days ago
Full-wave rectification

Full-wave rectification is a process that converts alternating current (AC) to direct current (DC) by using both half-cycles of the input signal. This is achieved by using a diode bridge or a combination of diodes to rectify the signal.

100 - 4A meter movement

A 100-4A meter movement refers to a type of current meter that has a
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GAIN
  • a)
    Loose
  • b)
    Fall
  • c)
    Lost
  • d)
    Lose
Correct answer is option 'D'. Can you explain this answer?

Pallavi Sharma answered  •  2 days ago
GAIN
Explanation:

Definition:
- GAIN is a verb that means to obtain or acquire something, typically through effort or skill.

Options:
a) Loose
b) Fall
c) Lost
d) Lose

Explanation of the Correct Answer:
- The correct answer is option 'D', LOSE.
- The word 'LOSE' is the most appr
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Tejas Patni asked a question

Information is the essence of universe and means distinction between things. It is the very basic principle of physics that distinctions never disappear even though they might get scrambled or mixed away even after a seemingly irreversible change – say a magazine gets dissolved into pulp at a recycling plan, the information on the pages of the magazines will be re-organized and not eliminated and in theory the decay can be reversed; the pulp reconstructed into words and photographs. The only exception to this principle in physics is if the magazine were thrown into a black hole, a singular object in this regard, since nothing can emerge out of it after all. Even after Stephen Hawking showed in 1975 that black holes can radiate away matter and energy, the radiation seemed devoid of any structure, indicating that all information is lost in a black hole – a conclusion that has been hotly contested by physicists all over the world who argue that the entire structure of theoretical physics will disintegrate once you accept the notion that information can be lost, even if in a black hole.
Even though Hawking was not easily convinced, the physicists adopted a new theory called the holograph principle that states that when an object falls inside a black hole the stuff inside it may be lost but the objects information may be imprinted on the surface of black hole and with the right tools you may reconstruct the magazine from the black hole just as you would have reconstructed it from the pulp. This principle which may sound like an accounting trick has some serious implications if true. It implies that all information about 3 dimensional objects is stored in 2 dimensions and that there is a limit to how much information can be stored on a given surface area.  While this theory plugs a key gap in Hawkins assertion its corollaries spring some interesting implications that may have a tough time standing up to the scrutiny.
Which of the following best describes author’s feelings regarding Holograph principle?
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Mcq about transport in plants?

Prisha Mukherjee answered  •  2 days ago
Transport in Plants

Transport in plants refers to the movement of water, nutrients, and other substances within the plant body. It plays a vital role in the growth, development, and survival of plants. There are two main types of transport in plants:

1. Water Transport

Water is essential for the survival of plants as it is involved in various physiol
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Wastage of a raw material during a manufacturing process is 20% of input quantity.what input quantity of raw material is required per kg of output?

Prateek Gupta answered  •  3 days ago
Input Quantity of Raw Material per kg of Output

To determine the input quantity of raw material required per kg of output, we need to consider the wastage percentage during the manufacturing process. In this case, the wastage of raw material is given as 20% of the input quantity.

Step 1: Define the Problem

The problem is to find the input quantity of
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Not all life depends on energy from sunlight. Microbial life has been found in bedrock more than five kilometers below the surface of the Earth, and bacteria have been found on the deep ocean floor feeding on hydrogen and other gases rising from the interior of the Earth through vents in the ocean floor.
The statements above, if true, best support which of the following as a conclusion?
  • a)
    The location in the bedrock where microbial life was found was not near a system of volcanic vents through which hydrogen and other gases rose from the interior of the Earth.
  • b)
    Bacteria are able to exist at the molten center of the Earth.
  • c)
    A thorough survey of a planet's surface is insufficient to establish beyond a doubt that the planet contains no life.
  • d)
    Life probably exists on Sun-orbiting comets, which are cold agglomerations of space dust and frozen gases.
  • e)
    Finding bacterial remains in coal and oil would establish that the bacteria had been feeding on substances that had not been produced from the energy of sunlight.
Correct answer is option 'C'. Can you explain this answer?

Pioneer Academy answered  •  4 days ago
(C) A thorough survey of a planet's surface is insufficient to establish beyond a doubt that the planet contains no life.
The statements highlight examples of microbial life thriving in extreme environments on Earth, such as deep within the bedrock and on the ocean floor. These findings indicate that life can exist in unexpected and challenging conditions. Therefore, the conclusion that a thorough survey of a planet's surface is insufficient to definitively establish the absence of life is supported. The presence of microbial life in unconventional locations on Earth suggests that there may be undiscovered forms of life elsewhere, even in environments that may appear inhospitable at first glance.

Mayor: In each of the past five years, the city has cut school funding and each time school officials complained that the cuts would force them to reduce expenditures for essential services. But each time, only expenditures for nonessential services were actually reduced. So school officials can implement further cuts without reducing any expenditures for essential services.
Which of the following, if true, most strongly supports the mayor’s conclusion?
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Pioneer Academy answered  •  4 days ago
The mayor's conclusion is that school officials can implement further cuts without reducing any expenditures for essential services. In order to support this conclusion, we need to find an answer choice that strengthens the claim that previous cuts only affected nonessential services.
(A) The efficiency with which essential and nonessential services are provided is not relevant to the argument. This answer choice does not provide any support for the mayor's conclusion, so it can be eliminated.
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The sum of the squares of the first 15 positive integers (12 + 22 + 32 + . . . + 152) is equal to 1240. What is the sum of the squares of the second 15 positive integers (162 + 172 + 182 + . . . + 302) ?
  • a)
    2480
  • b)
    3490
  • c)
    6785
  • d)
    8215
  • e)
    9255
Correct answer is option 'D'. Can you explain this answer?

Mihir Nambiar answered  •  4 days ago
To find the sum of the squares of the second 15 positive integers, we can use the formula for the sum of squares of consecutive positive integers:

Sum of squares = (n * (n + 1) * (2n + 1)) / 6

where n is the last positive integer in the series. In this case, n = 15.

Let's calculate the sum of squares for the second 15 positive integers step by step:

1. F
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Rust can deteriorate a steel pipe to such an extent that it will snap easily, as though it was a twig.
  • a)
    will snap easily, as though it was a twig
  • b)
    will snap easily, like a twig does
  • c)
    will snap easily, as though it is a twig
  • d)
    might snap easily, as though it was a twig
  • e)
    will snap easily, as though it were a twig
Correct answer is option 'E'. Can you explain this answer?

Mihir Nambiar answered  •  4 days ago
Explanation:
Rust is a common problem in steel pipes, as it is a form of corrosion that occurs when iron or steel is exposed to moisture and oxygen. Over time, rust can weaken the structural integrity of a steel pipe, making it more prone to breakage or snapping.

The correct answer to this question is option 'E', which states that the steel pipe "will snap easily, as though
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If scores of 10 students in a class are arranged in the table (shown below), then what is the Median of their scores?
  • a)
    84
  • b)
    84.5
  • c)
    85
  • d)
    85.5
  • e)
    86
Correct answer is option 'D'. Can you explain this answer?

Bank Exams India answered  •  5 days ago
Score of 10 students in ascending  order = 74, 76, 78, 85, 85, 86, 92, 94, 96, 96
Since number of observations is even, the median is given by finding the average or mean of the two middle most observations.
So, median = (85 + 86)/2
Median = 85.5

If A and B are integers, is the product AB even?
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Cstoppers Instructors answered  •  5 days ago
Steps 1 & 2: Understand Question and Draw Inferences
Given: Integers A and B
To find: Is the product AB even?
  • The answer will be YES if at least one of A and B is even
Step 3: Analyze Statement 1 independently
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The nth term of an increasing sequence S is given by Sn = Sn-1 + Sn-2 for n > 2 and the nth term of a sequence S’ is given by S’n = S’n-1 - S’n-2 for n > 2. If S5 = S’5, what is the average (arithmetic mean) of S2 and S’2?
(1) The difference between the fourth term and the second term of sequence S is 14.
(2) The sum of the fourth term and the second term of sequence S’ is 14.
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Cstoppers Instructors answered  •  5 days ago
Steps 1 & 2: Understand Question and Draw Inferences
  • Increasing sequence S whose nth term is represented as  Sn = Sn-1 + Sn-2 for n > 2
  • For a sequence S’, the nth term of which is represented as S’n = S’n-1 - S’n-2 for n > 2
  • S5 = S’5
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Sheetal Dhawan asked a question

Researchers bet their bottom dollar on a combination of polar ice cores, tree-rings, geochemistry, and a medieval chronicle little-known in the West to solve one of vulcanology’s most enduring mysteries: which peak blew its top in the mid-13th century, causing a catastrophic eruption that ranks as one of the biggest in the recorded history? As with any investigation, the team had to rule out other suspects as it followed a trail of clues - and even read palms, or at least palm leaves, ultimately finding the culprit of the massive 1257 AD eruption, which the researchers say is Samalas volcano on Lombok Island in Indonesia.
For decades, scientists have been searching for the volcano responsible for the largest spike in sulfate deposits in the last 7,000 years, which were revealed in the ice cores from Greenland and Antarctica. The spike indicated a massive eruption around 1257 that may have sent up to eight times more sulfate into the stratosphere than the 1883 eruption of Karaktau, often held up as an archetype of volcanoes behaving badly. Researchers say the 1257 mystery spew is comparable in scope to a second-century AD eruption in the Taupo Volcanic Zone of New Zealand, known as the most intense historic volcanic event. Multitude of futile attempts for a few decades compelled the researchers to write the project off as “unsolved”. Some thirty years later, one of the researchers’ tips came from Babad Lombok, a 13th century historical record in Old Javanese, written on palm leaves, the chronicle referencing a massive eruption of Samalas that created an enormous caldera.The current research zeroed in on Samalas, part of the Mount Rinjani volcanic complex.
The team was able to accumulate a sizable amount of incriminating evidence, including pyroclastic deposits from the eruption more than 100 feet thick found more than 15 miles from the ruins of the volcano. The range of deposits and the volume suggest that the Samalas eruption exceeded that of the Tambora event in 1815. The team sampled carbonized tree trunks and branches in the Samalas deposit zone and used radiocarbon dating to confirm a mid 13th-century eruption. Reviewing wind patterns, researchers were even able to narrow the timeframe for the eruption. The distribution, to the west, of volcanic ash and other ejecta from Samalas suggest that the dry season’s easterly trade winds were prevalent, putting the eruption window between May and October of 1257.
The author of the passage alludes to the discovery made in Greenland and Antarctica in order to
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How many odd positive integers divide the positive integer n completely?
(1) 16 is the highest power of 2 that divides n
(2) n has a total of 68 factors and 3 prime factors.
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Cstoppers Instructors answered  •  5 days ago
Step 1 & 2: Understand Question and Draw Inference
  • n is an integer > 0
  • We can write: n = P1a * P2b * P3c ….where P1 , P2 , P3 ..etc. are prime numbers and a, b, c are positive integers
To Find: Number of odd positive integers divide n?
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Select the correct algebraic expression for the following number line representation:
 
  • a)
    |x - 3| = 1
  • b)
    |x + 4| = 3
  • c)
    |x + 3| = 2
  • d)
    |x| = 5
  • e)
    |x| = -5
Correct answer is option 'B'. Can you explain this answer?

KS Coaching Center answered  •  5 days ago
We have to find the expression |x – a| = b for which the solution set is -7 and -1.
We already know that the two points will be symmetrical about a.
So a is the mid-point of these two points.
ow, b is simply the distance between a and either of the points.
As we can see from the given figure, (also as we already know),
Distance between -4 and -1 (or -7) is simply 3 units.
b = 3
Therefore the required expression is:
The correct answer is: B

If x ≠ 0, for which of following functions is  , for all values of x?
  • a)
  • b)
  • c)
  • d)
  • e)
Correct answer is 'D'. Can you explain this answer?

KS Coaching Center answered  •  5 days ago
Step 1: Question statement and Inferences
We have to pick the only option for which  , Since the option will have to be true for all the values of x, substituting numbers is not the best approach. We shall try to replace x with 1/x in each option.
Step 2 & 3: Finding required values and finding the final answer
Let’s check each option one by one.
 
A. .
Not equal to f(x)
 B.  
Not equal to f(x)
C. .  Not equal to f(x)
D.  Not equal to f(x)
In the exam, you need not evaluate option (E) – since we already know that Option D is the answer- but here for practice, let’s evaluate it.
Not equal to f(x).

Solve   when x =1/4 ?
  • a)
    35/17
  • b)
    37/17
  • c)
    35/4
  • d)
    37/4
  • e)
    39/4
Correct answer is option 'D'. Can you explain this answer?

Naroj Boda answered  •  5 days ago
 where  x =1/4
= [ (1/4)+ 13(1/4) + 36 ] / (1/4) + 4
= [ 1/16 + 13/4 + 36 ] / 17/4
= [ ( 1 + 52 + 576) /16 ] x 4/16
= 629/16 x 4/17
= 37/4 
 

A bigger circle (with center A) and a smaller circle (with center B) are touching each other externally. PT and PS are the tangents drawn to these circles from an external point (as shown in the figure). What is the length of ST?
(1) The radii of the bigger and the smaller circles are 9 cm and 4 cm respectively
(2) PB = 52/5 cm
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Naroj Boda answered  •  5 days ago
Steps 1 & 2: Understand Question and Draw Inferences
Given that PT is a tangent to the small circle and PS is a tangent to the big circle.
ΔPTB and ΔPSA are right angled at T and S respectively.
We need to find the length of ST. 
 
Step 3: Analyze Statement 1
(1) The radii of the bigger and the smaller circles are 9 cm and 4 cm respectively.
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When positive integer y is added to each of the first n non-negative integers, which of the following statements is true?
I. If the median of the resulting numbers is   then n is odd
II. The arithmetic mean of the resulting numbers is equal to the median of the resulting numbers
III. The arithmetic mean of the resulting numbers is y units greater than the arithmetic mean of the first n positive integers.
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Naroj Boda answered  •  5 days ago
Given:
  • The list of first n non-negative integers: {0, 1, 2, 3, . . . , n – 1}
  • Positive integer y is added to each integer in this list: {0 + y, 1 + y, 2 + y, . . . n – 1 + y}
    • = {y, y + 1, y + 2, . . . , y + n – 1}
To Find: Which of the 3 statements is/are true?
Approach:
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What is the greatest prime factor of 123 – 96?
  • a)
    2
  • b)
    3
  • c)
    7
  • d)
    17
  • e)
    19
Correct answer is option 'D'. Can you explain this answer?

Divey Sethi answered  •  5 days ago
Step 1: Question statement and Inferences
We are required to find the greatest prime factor of 123 – 96
Hence, we need to break the expression into its prime factors
Step 2: Finding required values
Given: 123 – 96
= (22*3) 3 – 25 * 3
= 26*33 – 25 * 3
= 25 * 3*(2*32-1)
= 25 * 3*(2* 9 -1)
= 25 * 3*(18 -1)
= 25 *3 *17
The prime factors of (123 – 96) are 2, 3 and 17
Step 3: Calculating the final answer
Among the prime factors 2, 3 and 17
17 is the greatest in value
Hence, 17 is the greatest prime factor of 123 – 96 
Answer: Option (D)

What is the sum of all values of x that satisfies the equation:
  • a)
    20
  • b)
    24
  • c)
    28
  • d)
    32
  • e)
    36
Correct answer is option 'C'. Can you explain this answer?

Future Foundation Institute answered  •  5 days ago
Correct Answer :- c
Explanation : By picking from the options, we can check which value satisfies the equation 
For x = 28
√168 = √143+1
12.9 = (11.9+1)
12.9 = 12.9
Ankit Arya asked a question

Although the journal Social Text was never at the forefront of publishing articles on feminism and never debated whether capitalism was the source of women’s oppression in 1970s or whether male supremacy was itself a systematic form of domination, it is not clear whether social feminist’s classification of the journal as the one run by “boy’s club” could have been completely justified till recently. There could have been many reasons that the journal’s mission statement as set out in its first prospectus in 1979 did not take notice of the burning issues feminists were then discussing. May be triumvirate of founding editors were too focused on Marxist high theory to consider gender alongside economic class as an important mode of social organization and oppression, or on the other hand they may have simply chosen on purpose to not include feminism specifically in its charter.
The recent paper by Rosa Luxemburg suggests that the first prospectus contained the seeds of its own feminist undoing. The founders demarcated fields of focus for the journal that could hardly be explored without attention to gender, sexuality, and the historical experiences of women. They were rather interested in “everyday life,” “mass culture,” and “consumer society”. Hence, the little feminist work that appears in Social Text is in the realm of cultural analysis not revolutionary praxis and is often buried in the back of the journal in “Unequal Developments,” the section that offers reviews and experimental writing.
 
For example, in the second edition of the journal in the section Unequal Developments, Christine Holmland performs a thorough feminist dissection of the then-current Disney film ‘The North Avenue Irregulars’, showing how this comedy about a group of church ladies who take on the local mafia superficially celebrates, but finally deflates the idea of women’s activism, and along the way reinforces gendered roles at every level of social life.
What does the author imply when he states “May be triumvirate of founding editors were too focused on Marxist high theory to consider gender alongside economic class as an important mode of social organization and oppression”?
... more

During a housing slump, the number of houses for sale increases by 50% every month. What is the percentage increase in the number of houses on sale after 3 months?
  • a)
    150%
  • b)
    175%
  • c)
    187.5%
  • d)
    212.5%
  • e)
    237.5%
Correct answer is option 'E'. Can you explain this answer?

Future Foundation Institute answered  •  5 days ago
Step 1: Question statement and Inferences
We are given that during a housing slump, the number of houses for sale increases by 50% every month.
Let the initial number of houses for sale = x
We need to find the number of houses for sale at the end of 3 months to be able to calculate the required percentage increase.
 
Step 2: Finding required values
Therefore number of houses for sale at the end of the first month = x + 50 % of x=1.5x
 
Similarly number of houses for sale at the end of the second month = 1.5×(1.5x)=(1.5)2x
Similarly number of houses for sale at the end of the third month = (1.5)3 x = 3.375x
Step 3: Calculating the final answer
Therefore absolute increase in the number of houses = 3.375x−x=2.375x
Therefore the percentage increase in the number of houses compared to the initial number = 2.375x/x×100=237.5%
Correct Answer: E

If n is a positive integer, which of the following statements are correct?
  1. All the prime numbers greater than 3 can be represented in the form 4n +1 or 4n + 3
  2. All numbers of the form 4n + 1 and 4n + 3 are prime numbers
  3. All the prime numbers greater than 3 can be represented in the form 6n – 1 or 6n + 1 
... more

Quantronics answered  •  5 days ago
Step 1: Question statement and Inferences
Let us list the prime numbers less than 50:
2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47 . . .
Step 2: Finding required values 
Let’s now evaluate the two forms given and then evaluate which of these is able to describe the list above.
Option A: The form 4n + 1 and 4n + 3
As we see, all the prime numbers greater than 3 can be represented in the form 4n+1 or 4n+3.
Therefore, Statement I is correct.
However, we also see in the table that not every number of the form 4n + 1 and 4n + 3 is a prime number.
Therefore, Statement II is not correct.
Option B: The form 6n – 1 and 6n + 1
As we see, all the prime numbers greater than 3 can be represented in the form 6n+1 or 6n-1.
Therefore, Statement III is correct.
 
Step 3: Calculating the final answer
Looking at the answer choices, we see that Option E is correct.

The figure above shows the position, at two instants of time, of a 10-meter-long rod as it was falling down to the ground. If one end of the rod was pinned to the ground, by what vertical distance did the rod fall between the two instants of time?
... more

Quantronics answered  •  5 days ago
Given:
  • Length of rod = 10 meters
  • Angle with the ground at 1st instant = 60o
  • Angle with the ground at 2nd instant = 30o
To find:
  • Vertical distance covered between the 2 instants
Approach:
  • We will first try to understand the question
  • To do so, let us:
    • Drop perpendiculars from the free end of the rod at both instants of time
    • Label the triangles thus formed
... more
Tejas Patni asked a question

Despite radical differences in what limbs do and what they look like, the underlying blueprint of all limbs in land based animals, whether those limbs are wings in birds, flippers in penguins, or hands in humans, is the same - one bone, the humerus in the arm or the femur in the leg, articulates with two bones, which attach to a series of small blobs, which connect with the fingers or toes. Want to make a bat wing? Make the fingers really long. Want to make a horse? Elongate the middle fingers and toes and  lose the outer ones. The differences between creatures lie in differences in the shapes and sizes of the bones and the numbers of blobs, fingers, and toes.
In the 1950s and 1960s a number of biologists, including Edgar Zwilling and John Saunders, did extraordinarily creative experiments on chicken eggs to understand how skeletal structure of limbs  forms and uncovered some of the key mechanisms that build limbs that have the same architecture but are as different as bird wings, lizards webbings,  and human hands .  They discovered that two little patches of tissue essentially control the development of the pattern of bones inside limbs. These patches of tissue were named the zone of polarizing activity (ZPA). The cells in the ZPA made special molecules that then spread across the limb to instruct cells to make femur, articulates, and connecting toes. The concentration of these molecules was the important factor and decided the length of femur, articulates, connecting toes, and even the length of individual toe fingers. Later experiments with other animals such as the bat, frog, etc. proved that the mechanism to form limbs remained the same - formation of limbs in every creature was controlled by the ZPA – just the concentration of these special molecules varied corresponding to the desired structure.
The reason for this inherent commonality in architecture still remained a conundrum for decades. Why did nature not develop architectures better optimized to the functional needs of various organisms? The discovery of Tiktaalik, a transition between non-tetrapod vertebrates ("fish") to early tetrapods solved this mystery, providing evidence that all land based creatures that have limbs, hands, etc. share a common ancestor. The fact that our DNA and that of all land based animals can be traced back to Tiktaalik further provided evidence  that all appendages, whether they are hands or limbs, are built by similar kinds of genes and that this great evolutionary transformation did not involve the origin of new DNA: much of the shift likely involved using ancient genes, such as those involved in development of Tiktaalik’s limbs, in new ways to make wings in birds or various sized limbs with fingers and toes, explaining the diversity in shapes while maintaining the similarity in architecture. 
In the context of the passage, why was the discovery of the Tiktaalik important? 
... more

A toy manufacturer runs his plant for 30 days in a month such that his daily output is constant during the month. He undertakes the maintenance of his plant every 6 months for 5 days in a month, during which period no toys are produced. As he has to undertake the maintenance of the plant this month, he increases his constant daily output of toys by 10 percent compared to the last month’s constant daily output. If the manufacturer wants to keep his monthly revenue unchanged as compared to last month, by approximately what percentage should be increase the price per toy?
... more

Target Study Academy answered  •  5 days ago
Given:
Earlier Month
  • Total running duration of the plant in the month = 30 days
  • Let the daily output during the month = n toys
  • Let the total monthly revenue be P
This Month
  • Maintenance Period during the month= 5 days
  • Total running duration of the plant in the month = 30 - 5 = 25 days
  •  Let the total monthly revenue be Q
... more

What is the remainder when the two-digit, positive integer x is divided by 3?
1) The sum of the digits of x is 5.?
2) The remainder when x is divided by 9 is 5.
  • a)
    Exactly one of the statements can answer the question
  • b)
    Both statements are required to answer the question
  • c)
    Each statement can answer the question individually
  • d)
    More information is required as the information provided is insufficient to answer the question
     
Correct answer is option 'D'. Can you explain this answer?

Palak Saha answered  •  5 days ago
Statement 1: The sum of the digits of x is 5.

Statement 2: The remainder when x is divided by 9 is 5.

To determine the remainder when x is divided by 3, we need to examine the divisibility rule for 3.

The divisibility rule for 3 states that a number is divisible by 3 if the sum of its digits is divisible by 3.

Therefore, if the sum of the
... more
Agbonze Ighodaro asked a question

Despite radical differences in what limbs do and what they look like, the underlying blueprint of all limbs in land based animals, whether those limbs are wings in birds, flippers in penguins, or hands in humans, is the same - one bone, the humerus in the arm or the femur in the leg, articulates with two bones, which attach to a series of small blobs, which connect with the fingers or toes. Want to make a bat wing? Make the fingers really long. Want to make a horse? Elongate the middle fingers and toes and  lose the outer ones. The differences between creatures lie in differences in the shapes and sizes of the bones and the numbers of blobs, fingers, and toes.
In the 1950s and 1960s a number of biologists, including Edgar Zwilling and John Saunders, did extraordinarily creative experiments on chicken eggs to understand how skeletal structure of limbs  forms and uncovered some of the key mechanisms that build limbs that have the same architecture but are as different as bird wings, lizards webbings,  and human hands .  They discovered that two little patches of tissue essentially control the development of the pattern of bones inside limbs. These patches of tissue were named the zone of polarizing activity (ZPA). The cells in the ZPA made special molecules that then spread across the limb to instruct cells to make femur, articulates, and connecting toes. The concentration of these molecules was the important factor and decided the length of femur, articulates, connecting toes, and even the length of individual toe fingers. Later experiments with other animals such as the bat, frog, etc. proved that the mechanism to form limbs remained the same - formation of limbs in every creature was controlled by the ZPA – just the concentration of these special molecules varied corresponding to the desired structure.
The reason for this inherent commonality in architecture still remained a conundrum for decades. Why did nature not develop architectures better optimized to the functional needs of various organisms? The discovery of Tiktaalik, a transition between non-tetrapod vertebrates ("fish") to early tetrapods solved this mystery, providing evidence that all land based creatures that have limbs, hands, etc. share a common ancestor. The fact that our DNA and that of all land based animals can be traced back to Tiktaalik further provided evidence  that all appendages, whether they are hands or limbs, are built by similar kinds of genes and that this great evolutionary transformation did not involve the origin of new DNA: much of the shift likely involved using ancient genes, such as those involved in development of Tiktaalik’s limbs, in new ways to make wings in birds or various sized limbs with fingers and toes, explaining the diversity in shapes while maintaining the similarity in architecture. 
According to the passage the mechanism that builds limbs as different as bird wings, penguin flippers, and human hands etc. is 
 
... more

Due to significant advances in biotechnology, experts predict that within years, doctors will be able to trace the genetic roots of common medical problems such as depression and bi-polar syndrome. As a result, some physicians predict that these conditions and others like them will be all but eliminated through early identification and genetic therapy.
Q. The argument above is based most heavily upon which of the following assumptions?
  • a)
    There is one and only one strategy for eliminating common medical problems such as depression.
  • b)
    Common medical problems such as depression are based entirely on treatable genetic malformations.
  • c)
    Within years, genetics will be the only important scientific field in detecting and treating common medical problems such as depression.
  • d)
    Every member of the human race has at least one genetic defect.
  • e)
    Each human defect or sickness can be traced in part to genetics.
Correct answer is option 'B'. Can you explain this answer?

Sandeep Mehra answered  •  6 days ago
Assumptions in the Argument:

The argument presented in the question is based on a series of assumptions. Let's analyze each option and determine which assumption is most heavily relied upon in the argument.

a) There is one and only one strategy for eliminating common medical problems such as depression.

This assumption suggests that there is only one
... more

How many questions are in the GMAT verbal reasoning section?

Sravya Joshi answered  •  1 week ago
GMAT Verbal Reasoning Section


The GMAT (Graduate Management Admission Test) is a standardized exam that is used by business schools to assess the skills and abilities of prospective students. The Verbal Reasoning section is one of the four sections that make up the GMAT, and it evaluates the test-taker's ability to analyze and evaluate written material.

Number of Questions
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As the Federal government's deficit grows, analysts project that the extra cost to the Treasury Department in higher interest rates is well over 50 basis points per year.
  • a)
      the extra cost to the Treasury Department in higher interest rates is well over 50 basis points per year
  • b)
    the extra cost to the Treasury Department, incurred in higher interest rates, is going to be well over an extra 50 basis points per year
  • c)
    the Treasury Department will face higher interest rates, well over an extra 50 basis points per year
  • d)
    higher interest rates will cost the Treasury Department well over an extra 50 basis points per year
  • e)
    well over an extra 50 basis points per year will be the cost that is going to be borne by the Treasury Department
Correct answer is option 'D'. Can you explain this answer?

Ruchi Pillai answered  •  1 week ago
Higher interest rates and the growing federal government deficit have a direct impact on the Treasury Department. The question asks for the correct option that accurately reflects the projected extra cost to the Treasury Department in terms of basis points per year.

Option A:
- This option states that the extra cost to the Treasury Department in higher interest rates is well over
... more

The actors in The Mystery of Edwin Drood have become known as a prime example of the interaction between performers with the audience.
  • a)
    a prime example of the interaction between performers with
  • b)
    a prime example of the interaction of performers and
  • c)
    being prime examples of the interaction between performers with
  • d)
    prime examples of the interaction between performers with
  • e)
    prime examples of the interaction between performers and
Correct answer is option 'E'. Can you explain this answer?

Manasa Gupta answered  •  1 week ago
The correct answer is option 'E': prime examples of the interaction between performers and.

Explanation:
- The sentence is discussing the actors in The Mystery of Edwin Drood and their relationship with the audience.
- The phrase "a prime example of" is used to describe the actors and their interaction with the audience.
- The phrase "the interaction between performers an
... more

The PTA decided that just as alcohol is discussed in health class to protect thosewho might actually abuse it, other drugs should also be covered to prevent students from falling prey to addiction.
  • a)
    just as alcohol is discussed in health class to protect those who might actuallyabuse it
  • b)
    like alcohol, which is discussed in health class to protect those who mightabuse it
  • c)
    similar to alcohol, which is discussed in health class in order to protect thosewho might actually abuse it
  • d)
    while, to protect those who might actually abuse it, alcohol is discussed inhealth class
  • e)
    similar to the discussion of alcohol in health class in order to protect thosewho might actually abuse it
Correct answer is option 'A'. Can you explain this answer?

Manasa Gupta answered  •  1 week ago
Explanation:

The correct answer is option A: "just as alcohol is discussed in health class to protect those who might actually abuse it."

Reasoning:
- The sentence is comparing the discussion of alcohol in health class to the discussion of other drugs.
- The phrase "just as" is used to introduce a comparison between two things that are similar.
-
... more

The child psychologist suggests that the formation of social groups of young children,like the adults who raised them, is based on common interests and hobbies.
  • a)
    the adults who raised them
  • b)
    that of the adults who raised them
  • c)
    that among the adults who raised them
  • d)
    they that raised the adults
  • e)
    the formation of social groups of the adults who raised them
Correct answer is option 'B'. Can you explain this answer?

Manasa Gupta answered  •  1 week ago
The correct answer is option 'B' - that of the adults who raised them.

The child psychologist suggests that the formation of social groups of young children is based on common interests and hobbies. In order to understand why option 'B' is the correct answer, let's break down the sentence and analyze each option:

a) the adults who raised them
This option is gramma
... more

A printer numbered consecutively the pages of a book, beginning with 1 on the first page. Innumbering the pages, he had to print a total of 187 digits. Find the number of pages inthe book.​
  • a)
    99
  • b)
    98
  • c)
    96
  • d)
    97
  • e)
    95
Correct answer is option 'B'. Can you explain this answer?

Manasa Gupta answered  •  1 week ago
To solve this problem, we need to determine the number of pages in the book by considering the total number of digits printed by the printer.

Let's assume that the book has 'n' pages.

Identify the pattern:
- The first 9 pages will have a single digit on each page, totaling 9 digits.
- The next 90 pages will have two digits on each page, totaling 180 digits.... more

After a long career, John C. Walden is retiring. If there are 25 associates who contribute equally to a parting gift for John in an amount that is an integer, what is the total value of the parting gift?
1) If four associates were fired for underperformance, the total value of the parting gift would have decreased by $200
2) The value of the parting gift is greater than $1,225 and less than $1,275
  • a)
    Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
  • b)
    Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
  • c)
    BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
  • d)
    EACH statement ALONE is sufficient.
  • e)
    Statement (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and
    additional data are needed.
Correct answer is option 'D'. Can you explain this answer?

Tejas Gupta answered  •  1 week ago
Statement 1: If four associates were fired for underperformance, the total value of the parting gift would have decreased by $200.

This statement tells us that the value of the parting gift is dependent on the number of associates. If four associates were fired, the total value of the gift would be reduced by $200. However, we don't have any information about the original value o
... more

If A and B are positive integers, does A have more prime factors than B?
(1)  B is the square root of A
(2)  A ÷ B is an integer
  • a)
    Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
  • b)
    Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient. 
  • c)
    BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient. 
  • d)
    EACH statement ALONE is sufficient. 
  • e)
    Statements (1) and (2) TOGETHER are NOT sufficient.
Correct answer is option 'A'. Can you explain this answer?

Tejas Gupta answered  •  1 week ago
Statement (1): B is the square root of A
If B is the square root of A, then A = B^2.

Let's consider some examples to understand the prime factors of A and B.

Example 1:
If A = 16 and B = 4, then A has two prime factors (2 and 2) and B has one prime factor (2). In this case, A has more prime factors than B.

Example 2:
If A = 36 and B = 6, then
... more

What is the number of positive integers that divide k but do not divide k, where k is a positive integer?
(1) k2 has a total of 13 factors
(2) √k has a total of 4 factors
  • a)
    Statement (1) ALONE is sufficient, but statement (2) alone is
    not sufficient to answer the question asked.
  • b)
    Statement (2) ALONE is sufficient, but statement (1) alone is
    not sufficient to answer the question asked.
  • c)
    BOTH statements (1) and (2) TOGETHER are sufficient to
    answer the question asked, but NEITHER statement ALONE
    is sufficient to answer the question asked.
  • d)
    EACH statement ALONE is sufficient to answer the question
    asked.
  • e)
    Statements (1) and (2) TOGETHER are NOT sufficient to
    answer the question asked, and additional data specific to the
    problem are needed.
Correct answer is option 'A'. Can you explain this answer?

Moumita Sen answered  •  2 weeks ago
Statement (1): k^2 has a total of 13 factors

To determine the number of positive integers that divide k but do not divide k, we need to find the prime factorization of k. Let's assume the prime factorization of k is given by:

k = p1^a1 * p2^a2 * p3^a3 * ... * pn^an

Where p1, p2, p3, ..., pn are distinct prime numbers and a1, a2, a3, ..., an are positive inte
... more

Two solutions of acid were mixed to obtain 10 liters of new solution. Before they were mixed, the first solution contained 0.8 liters of acid while the second contained 0.6 liters of acid. If the percentage of acid in the first solution was twice that in the second, what was the volume of the first solution?
  • a)
    3 liters
  • b)
    3.2 liters
  • c)
    3.6 liters
  • d)
    4 liters
  • e)
    4.2 liters
Correct answer is option 'D'. Can you explain this answer?

Aditya Sharma answered  •  2 weeks ago
To solve this problem, we can set up a system of equations based on the given information.

Let's assume the percentage of acid in the second solution is x%. According to the problem, the percentage of acid in the first solution is twice that of the second, so it would be 2x%.

Let's calculate the amount of acid in each solution:
Amount of acid in the first solution = 0.8
... more

The declining number of graduate students majoring in engineering has resulted in less skilledengineers qualified to work in modern industries that have become increasingly high-tech.
  • a)
    has resulted in less
  • b)
    has resulted in fewer
  • c)
    have resulted in fewer
  • d)
    had resulted in less
  • e)
    have resulted in less
Correct answer is option 'B'. Can you explain this answer?

Disha Mehta answered  •  2 weeks ago
The declining number of graduate students majoring in engineering has resulted in fewer skilled engineers qualified to work in modern industries that have become increasingly high-tech.

Introduction:
The given sentence discusses the impact of a declining number of graduate students majoring in engineering on the availability of skilled engineers in high-tech industrie
... more

If the average of a, b, c, 14 and 15 is 12. What is the average value of a, b, c and 29?
  • a)
    12
  • b)
    13
  • c)
    14
  • d)
    15
  • e)
    16
Correct answer is option 'D'. Can you explain this answer?

Snehal Banerjee answered  •  2 weeks ago
To find the average value of a, b, c, and 29, we need to determine the sum of these four numbers and then divide it by 4.

Given that the average of a, b, c, 14, and 15 is 12, we can set up the following equation:

(a + b + c + 14 + 15) / 5 = 12

To find the sum of a, b, c, 14, and 15, we can multiply both sides of the equation by 5:

a + b + c + 14 + 15 = 6
... more

In N is a positive integer less than 200, and 14N/60 is an integer, then N has how many different positive prime factors?
  • a)
    2
  • b)
    3
  • c)
    5
  • d)
    6
  • e)
    8
Correct answer is option 'B'. Can you explain this answer?

Nilotpal Sen answered  •  2 weeks ago
Problem Analysis:
We are given that N is a positive integer less than 200 and that 14N/60 is an integer. We need to determine the number of different positive prime factors of N.

Understanding the Problem:
To solve this problem, we need to find the prime factors of N. A prime factor of a number is a prime number that divides the number evenly, without leaving a r
... more

Harris invested $45,000 in two different ventures, a car-cleaning machine and a video mat. The yearly return on the video mat was 12% and the yearly return on the car-cleaning machine was 8%. If the total return was $4,000, how much did Harris invest in the video mat?
  • a)
    $8,000
  • b)
    $10,000
  • c)
    $14,000
  • d)
    $22,000
  • e)
    $35,000
Correct answer is option 'B'. Can you explain this answer?

Nilotpal Sen answered  •  2 weeks ago
Let's assume that Harris invested x dollars in the video mat. Since he invested a total of $45,000 in both ventures, the amount invested in the car-cleaning machine can be expressed as (45,000 - x) dollars.

The yearly return on the video mat is given as 12%, which can be written as 0.12. Similarly, the yearly return on the car-cleaning machine is given as 8%, which can be written as 0.0
... more

Language immersion experiences are valuable because they can quickly teach students who may be unlikely to learn the language in other settings or months ofregular teaching.
  • a)
    who may be unlikely to learn the language in other settings or months ofregular teaching
  • b)
    whose learning the language is unlikely in other settings or months of regularteaching
  • c)
    who might not learn the language in other settings or during months ofregular teaching
  • d)
    who may not learn the language under other settings or months of regularteaching
  • e)
    unlikely not to learn the language during months of regular teaching or inother settings
Correct answer is option 'C'. Can you explain this answer?

Bhavya Khanna answered  •  2 weeks ago
Answer:
Language immersion experiences are valuable because they can quickly teach students who might not learn the language in other settings or during months of regular teaching. This option, option C, is the correct answer because it conveys the idea that language immersion is particularly effective for students who may struggle to learn the language in traditional classroom setting
... more

Al Gore was vice-president of the United States, while earlier his father has been a senator.
  • a)
    while earlier his father has been
  • b)
    where his father earlier is
  • c)
    just as earlier his father had been
  • d)
    as his earlier father has been
  • e)
    his father earlier being
Correct answer is option 'C'. Can you explain this answer?

Bhavya Khanna answered  •  2 weeks ago
Answer:


The correct answer is option C: "just as earlier his father had been."



Explanation:


Let's break down the sentence and analyze the options to understand why option C is the correct answer.



The sentence begins by stating that Al Gore was the vice-president of the United States. The phrase "while ear
... more

The humidity, air pollution, and noise have affected the children of Maria lessdrastically than those of her neighbor.
  • a)
    affected the children of Maria less drastically than those of
  • b)
    affected the children of Maria less drastically than
  • c)
    affected the children of Maria less dramatically than they have
  • d)
    dramatically affected the children of Maria less than
  • e)
    dramatically affected the children of Maria and
Correct answer is option 'A'. Can you explain this answer?

Bhavya Khanna answered  •  2 weeks ago
Answer:

The correct answer is option A: "affected the children of Maria less drastically than those of".

Reasoning:
To determine the correct answer, we need to analyze the sentence and understand the comparison being made.

Comparison:
The sentence is comparing the impact of humidity, air pollution, and noise on the children of Maria
... more