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Q1:
x+y <120
Quantity A |
Quantity B |
The length of line segment AB | The length of line segment BC |
Explanation:
We need to compare
Quantity A |
Quantity B |
The length of line segment AB | The length of line segment BC |
We know that in a triangle, if two sides are equal then the angles opposite to them are also equal.
i.e., AC=BC=10
⇨ x=y
y+x<120
y+y<120
y<60
Also, the sum of interior angles of a triangle is 180∘.
x∘+y∘+∠ACB=180∘
Or, x∘+y∘=180∘–∠ACB
Now, x∘+y∘<120∘
i.e., 180∘–∠ACB<120∘
Or, 180∘–120∘<∠ACB
Or, 60∘<∠ACB
Therefore, the measure of angle ACB is greater than 60∘.
We need to compare,
Quantity A |
Quantity B |
The length of line segment AB | The length of line segment BC |
We know that the side opposite to a greater angle is greater than the side opposite to a smaller angle.
The side opposite to ∠ACB is AB and the side opposite to y∘ is BC.
Since ∠ACB>y∘, therefore, AB>BC.
Hence, Quantity A is greater than Quantity B.
The correct answer is Choice A.
Q2. A store currently charges the same price for each microwave that it sells. The revenue from weekly sales of microwaves in a store is calculated by taking the product of the number of microwaves sold and the price of the microwave. By what percent must the price of the microwave be increased to offset a 33 1/3 percent decrease in the number of microwaves sold such that the revenue remains the same?
Explanation:
Given that the revenue collected is calculated by taking the product of the number of microwaves sold and the price of the microwave.
⇒ R=(P)(N), where P be the price of the microwave per unit, N is the number of microwaves sold and R is the revenue.
Since we need to find the percent increase in the price of the microwave, let the percent increase in the price of the microwave be x.
Also, there is a 33 1/3 percent decrease in the number of microwaves sold.
As the revenue is the product of two quantities, hence, we can apply the concept of successive percent change.
If something changes by a% and then changes by b% then the overall percent change is given by the formula,
Net percent change =(a+b+ ab/100)%
If there is an increase, we consider the change as positive and if there is a decrease then we consider the change as negative.
Since there is a 33 1/3% decrease in the number of microwaves, so,
a = −33 1/3% = −100/3%
We need to find the percent increase in the price to offset a 33 1/3% decrease in the number of microwaves.
That means, the overall percent change is 0 after 33 1/3% decrease and x% increase.
So, using the net percent change formula, we get
−(100/3)+x+[(−100/3)(x)]/100 = 0
x − x/3 = 100/3
2x/3 = 100/3
x = 50%
The correct answer is Choice D.
Q3: If a>0, 0<1−ab<1, and b≠0, which of the following inequalities must be true?
Indicate all such statements.
Explanation:
Given that a>0 and 0<1−ab<1
Let us solve the given inequality in two parts: 0<1−ab and 1−ab<1
First, 0<1−ab
Subtracting 1 from both sides, we get
⇒0−1<1−ab−1
⇒−1<−ab
⇒1>ab… Equation (1)
Second, 1−ab<1
Subtracting 1 from both sides, we get
⇒1−ab−1<1−1
⇒−ab<0
⇒ab>0… Equation (2)
From equation (1) and (2), we get
0
That implies, ab is a positive fraction less than 1
When AB>0, both the numerator and denominator will have same signs.
i.e., Either both are positive or both are negative.
Since a>0 and ab>0, therefore, b>0
Also, ab<1 and b is positive.
Therefore, on cross multiplying, we get
a
Let us analyze the Statements:
Statement A:b>0
It is true.
Statement B:a>b
It is not true.
Statement C:ab<1
It is true.
Statement D:ba<1
It is not true.
Statement E:b>a
Since a>0 and 1>ab, so, on cross multiplying in 1>ab, we get
b>a
It is true
The correct answer consists of Choices A, C, and E.
Q1: Select one entry for each blank from the corresponding column of choices. Fill all blanks in the way that best completes the text.
The unanticipated humid and hot weather did not ______ the contestants of the beauty pageant to wear the elaborate and gaudy attires usually demanded by such competitions.
Explanation:
Option A coerce, to force, is wrong as it is opposite to the context.
Option B assuage, to make less worse, is wrong as it is irrelevant to the context.
Option C lionize, to praise, is wrong as it is irrelevant to the context.
Option D: CORRECT. preclude, to stop/prevent, is correct as it fits the context.
Option E expedite, to accelerate, is wrong as it is irrelevant to the context.
Q2: Select the two answer choices that, when used to complete the sentence, fit the meaning of the sentence as a whole and produce completed sentences that are alike in meaning.
Without one overt act of hostility, one _________ word, Mathew persuaded his wife to believe that none of her actions was acceptable either to him or to the clerics.
Explanation:
The meaning of the sentence:
Without one overt act of hostility, one
So, we need a word that is similar to “hostile”. Without being hostile or “hostile-like” word, Matthew persuaded his wife to accept that her actions were unacceptable.
Let's analyze the options one by one.
Q3 & 4
Perhaps the most persistent myth about British poetry of the Great War is that it became progressively more realistic as soldier-poets learned more about the horrors of modern trench warfare. According to this orthodoxy, the pastoral patriotism of Brooke soon gave way, in the mud and blood of Flanders, to the angry realism of Sassoon and Owen. Thus when we think of World War One poetry today, the poems that instantly come to the minds of most readers are those angry and satirical anti-war poems, such as Sassoon's "Base Details" and "'Blighters'" and Owen's "Dulce et decorum est," the last being probably the most famous, certainly the most widely anthologized, poem of the War. The problem with this view is that it is based on a relatively small group of poems that, despite their indisputable excellence, are in many ways atypical of the bulk of poetry, including much of the good poetry, written during the War. That poetry was deeply indebted to the nineteenth-century poetic tradition running from Wordsworth and the Romantics through the major Victorian poets to Hardy and beyond. The majority of the war poets worked within this tradition to produce, as has been recently argued, the trench lyric. But it is not just much of the poetry of the Great War that belongs to this tradition. The last two paragraphs of what many regard as one of the best memoirs to come out of the War, Siegfried Sassoon's "Memoirs of a Fox-Hunting Man" (1928), emerge from the same tradition and constitute a prose version of the trench lyric composed by the solider-poets. At first glance, a work by the author of some of the bitterest and most angry anti-war poems of the Great War may seem an unlikely place to observe the conventions of Romantic poetry, but the ending of Memoirs of a Fox-Hunting Man reveals just how insistently the Romantic lyric imposed its form and structure on the imaginations of the writers of the Great War.
Sassoon, like Rosenberg, does not abandon a set of worn-out poetic conventions so he can write directly and realistically, and hence originally, about it. Rather he translates a pre-existing model into local terms. Even literary memoirists, who are expected to respect the facts, can only be as realistic as the artificial literary conventions available to them will allow them to be. Writers write realistically not by directly "telling it like it is," but by telling it like it's told in literature. They must, as Northrop Frye told us half a century ago, find, or adapt, a set of literary conventions, and out of this old paradigm create a new literary form.
Q3. Consider each of the choices separately and select all that apply.
With which of the following options, is the author most likely to agree?
Explanation:
The question asks us to choose options with which the author will agree.
Let’s look at the options one by one.
So, correct answer: Options A, B, C.
Q4. The primary purpose of the passage is to
Explanation:
Let’s look at the options one by one.
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Jamboree offers comprehensive GRE coaching. Mentioned below are reasons to choose Jamboree for your GRE prep:
GRE experts recommend taking 3 to 4 GRE sample tests as this would give them a better idea as to how to face the real GRE test. This will further help students to track their progress over time.
The highest possible score on the GRE is 340, and the Quantitative and Verbal Sections make up for 170 points each. The Analytical Writing Section, however, is scored on an independent scale where you can get a score from 0 to 6, with 6 being the highest and 0 being the lowest.
GRE can be taken an unlimited number of times with a gap of a minimum of 21 calendar days between 2 tests. However, you can take the test only 5 times in a calendar year. The GRE score is valid for 5 years from the date the test was taken.
Each section of the GRE is difficult, however the Quantitative section is quite challenging for most of the students. With these GRE general test sample questions, quant questions cover a lot of high school mathematics involving Geometry, Arithmetic etc.
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