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Question : The radius of the incircle of a triangle whose sides are 9 cm, 12 cm, and 15 cm is:
Option 1: 9 cm
Option 2: 13 cm
Option 3: 3 cm
Option 4: 6 cm
Correct Answer: 3 cm
Solution : To find: The radius of the incircle of a triangle whose sides are 9 cm, 12 cm and 15 cm. Since, $9^2+12^2=81+144=225=15^2$ So, this is a right-angled triangle. Let $p,b,$ and $h$ be Perpendicular, Base and Hypotenuse of the triangle, respectively. We know the
Question : Directions: In the following question, some parts of the sentence may have some errors. Find out which part of the sentence has an error and select the appropriate option. If the sentence is free from error, select "No Error".
The same procedure (1) / also should used (2) / for the final assessment. (3) / No Error (4)
Option 1: (1)
Option 2: (2)
Option 3: (3)
Option 4: (4)
Correct Answer: (2)
Solution : The error lies in the second part of the sentence.
The verb phrase ''also should used'' is grammatically incorrect. In the passive voice, the modal verb is always followed by ''be'' and the past participle (v3) form of the verb. Thus, ''should also be used''
Question : The third proportion to 25 and 35 is:
Option 1: 35
Option 2: 49
Option 3: 40
Option 4: 25
Correct Answer: 49
Solution : Let $x$ be the third proportional to 25 and 35. Then $25 : 35:: 35: x$ ⇒ $25\times x=35\times35$ [Product of extremes] ⇒ $x=\frac{35\times35}{25}=7\times7=49$ Hence, the correct answer is 49.
Question : Directions: Select the option figure in which the given figure is embedded (rotation is NOT allowed).
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution : Since the rotation is restricted, the embedded figure will have the same orientation as the main figure. By comparison of the question figure with all the option figures, the given question figure is embedded only in the fourth option figure.
Hence, the fourth option is correct.
Question : Directions: Three of the following four–letter clusters are alike in a certain way and one is different. Pick the odd one out.
Option 1: CSMH
Option 2: YNID
Option 3: JYTO
Option 4: IXSN
Correct Answer: CSMH
Solution : Let's check each option – First option: CSMH; C – 16 = S; S – 6 = M; M – 5 = H Second option: YNID; Y – 15 = N; N – 5 = I; I – 5 = D Third option: JYTO; J
Question : Select the most appropriate word for the given group of words.
A person who likes or admires women.
Option 1: Polyglot
Option 2: Misogynist
Option 3: Conversationalist
Option 4: Philogynist
Correct Answer: Philogynist
Solution : The correct choice is the fourth option.
Explanation: The choice of "philogynist" is precise, capturing the essence of positive regard and affection towards women. It stands in contrast to misogynist, which denotes a person with a dislike for or prejudice against women.
Therefore, the
Question : Study the given pie chart and answer the question that follows. The following pie chart shows the sectors representing the shares of the number of chairs produced in a given year of each of the six different brands in terms of the central angles (in degrees) with respect to the total number of chairs produced in that year of all the six brands taken together.
If the total number of chairs produced by these six brands taken together is 7200, then what is the total number of chairs produced by brands B2 and B3 taken together?
Option 1: 1750
Option 2: 2400
Option 3: 2100
Option 4: 1800
Correct Answer: 2100
Solution : From the pie chart, The central angle for B2 is 60° and for B3 is 45°, giving a total of 105°. The total central angle for all six brands is 360°. Total chairs by B2 and B3 = $\frac{105^\circ}{360^\circ}× 7200 = 2100$ Hence, the correct
Question : Comprehension:
In the following passage, some words have been deleted. Fill in the blanks with the help of the options given. Select the most appropriate option for each number.
The COVID-19 pandemic has deeply affected people across the world. During these difficult (1)____ frontline workers have been at the highest risk as (2)____ have been stepping out to work daily (3)____ proper protective gear. An NGO reached out to people too (4)____ funds to procure PPE kits, masks, and sanitisers for (5)____ among the frontline workers. Several school children participated (6)_____ in this noble initiative. They collected old newspapers and books and (7)_____ them to raise a good sum of money which was (8)____ used to buy kits. The children were happy to (9)_____ and learned how taking care of each other is very (10)_____ in such challenging situations.
Question:
Select the most appropriate option to fill in the blank. 9.
Option 1: contribute
Option 2: afford
Option 3: enrich
Option 4: devote
Correct Answer: contribute
Solution : The first option is the correct answer.
Explanation: The context suggests that the children actively participated in the initiative by collecting old newspapers and books to raise funds. The word contribute aligns well with the idea that the children willingly and actively added to the
Question : Directions: Select the venn diagram that best represents the relation between the following classes. Chennai, India, Asia
Solution : Chennai is a city in India. India is a country in Asia. Therefore, the circle of Chennai is completely inside the circle of India and the circle of India is completely inside the circle of Asia. The Venn diagram is as follows –
Hence, the first
Question : If $x^2-4 x+1=0$, then what is the value of $\left(x^6+x^{-6}\right)$?
Option 1: 2786
Option 2: 2702
Option 3: 2716
Option 4: 2744
Correct Answer: 2702
Solution : Given: $x^2 - 4x + 1 = 0$ Divided by $x$ ⇒ $x - 4 + \frac{1}{x} = 0$ ⇒ $x + \frac{1}{x} = 4$ As we know, $(x + \frac{1}{x})^2 = x^2 + \frac{1}{x^2} + 2$ ⇒ $4^2 = x^2 + \frac{1}{x^2} + 2$
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