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Question : The pie chart given below shows the number of teachers in five universities. The total number of teachers in all these five universities is 720. The number of teachers in a particular university is shown in terms of degree with respect to the total number of teachers in all these five universities.
J1 = The value of the average number of teachers in B and C J2 = The value of the average number of teachers in A and E What is the value of (J2 + J1)?
Option 1: 210
Option 2: 290
Option 3: 250
Option 4: 240
Correct Answer: 290
Solution : The total number of teachers in all these five universities is 720. J1 = The value of the average number of teachers in B and C From the given pie- chart, ⇒ Number of teachers in University B $=\frac{30°}{360°}\times720=60$ ⇒ Number of teachers in University
Question : Select the most appropriate meaning of the given idiom.
Twist someone's arm
Option 1: hurt someone by mistake
Option 2: understand a problematic situation
Option 3: handle a situation cleverly
Option 4: persuade someone to do something
Correct Answer: persuade someone to do something
Solution : The correct answer is the fourth option.
Explanation: The idiom "twist someone's arm" is an expression used to convey the idea of persuading or convincing someone to do something they might be hesitant or unwilling to do. It implies a form
Question : If $a-b=2$ and $ab=24$, then what is the value of $a^3-b^3$?
Option 1: 280
Option 2: 124
Option 3: 140
Option 4: 152
Correct Answer: 152
Solution : Given: $a-b=2$ and $ab=24$ We know that $(a-b)^3=a^3-b^3-3ab(a-b)$ ⇒ $2^3=a^3-b^3-3(24)(2)$ ⇒ $a^3-b^3=8+3\times 24\times 2$ ⇒ $a^3-b^3=152$ Hence, the correct answer is 152.
Question : Study the given table and answer the question that follows. The table below shows the percentage distribution of students from five different colleges in various disciplines.
TOTAL NUMBER OF STUDENTS
Students from the discipline of mathematics in colleges P and R taken together is what percentage of the total number of students in colleges P and R taken together? [Give your answer correct to one decimal place.]
Option 1: 36.9%
Option 2: 36.5%
Option 3: 37.2%
Option 4: 37.5%
Correct Answer: 36.5%
Solution : Total students in P and R = Students in P + Students in R = 8000 + 15000 = 23000 Students in Mathematics in P and R = = 30% of 8000 + 40% of 15000 = 0.3 × 8000 + 0.4 × 15000 =
Question : Directions: In the following question, a sentence is given with a blank that is to be filled in with an appropriate word. Four alternatives are suggested; choose the correct alternative out of them as your answer.
______the last ten years we have been victims of abuse.
Option 1: from
Option 2: for
Option 3: before
Option 4: since
Correct Answer: for
Solution : The correct answer is the second option.
In this context, "for" is used as a preposition to indicate the duration or period of time during which the action or situation has been ongoing.
Therefore, the complete sentence should be: For the last ten years, we
Question : In the following question, out of the given four alternatives, select the alternative which best expresses the meaning of the Idiom/Phrase. To work against the clock.
Option 1: To fill one with terror
Option 2: To work fast
Option 3: To die while still working
Option 4: To move anti-clockwise
Correct Answer: To work fast
Solution : The second option is correct.
The given idiom, work against the clock, means to do it as fast as possible and try to finish it before a certain time.
Therefore, the correct answer is to work fast.
Question : How many delegates attended the first session of Congress in 1885?
Option 1: 62
Option 2: 78
Option 3: 68
Option 4: 72
Correct Answer: 72
Solution : The correct option is 72.
The Indian National Congress was founded in 1885 by A.O. Hume. Its first meeting was held in Bombay and was attended by 72 delegates. Mostly they were lawyers, journalists and intellectuals and it was founded by Allan Octavian Hume,
Question : Which one of the following novels was a source of inspiration for the freedom fighters in India?
Option 1: Pariksha Guru
Option 2: Anandamath
Option 3: Rangbhoomi
Option 4: Padmarag
Correct Answer: Anandamath
Solution : The correct answer is Anandamath.
The novel gives a glimpse of colonial India in which the presence of Englishmen—the colonisers—leads to the depiction of Indians suffering from famine and poverty. Author Bankim Chandra Chatterjee is best known for his novel Anandamath. Because it was
Question : Directions: In this question, a part of the sentence is in bold. Below are given alternatives to the bold part at 1, 2, and 3 which may improve the sentence. Choose the correct alternative. In case no improvement is needed your answer is 4.
There was little he could do to save his battered reputation.
Option 1: 1
Option 2: 2
Option 3: 3
Option 4: 4
Correct Answer: 1
Solution : The correct answer is the first option because save should be replaced with salvage to convey the intended meaning that there were limited actions he could take to restore his reputation which had been severely tarnished.
Salvage which is similar in meaning to save is
Question : In an isosceles triangle, if the vertex angle is twice the sum of the base angle, then the measure of the half of the vertex angle of the triangle is:
Option 1: 60
Option 2: 70
Option 3: 80
Option 4: 50
Correct Answer: 60
Solution : Let the base angle be $x$. Given, that the vertex angle is twice the sum of base angles. The sum of base angles = 2$x$ So, vertex angle = 4$x$ We know the sum of angles of a triangle is 180$^\circ$. So, $x$ + $x$
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