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Question : The area of an equilateral triangle is $4 \sqrt{3} \mathrm{~cm}^2$. Find the side (in cm) of the triangle.
Option 1: $2$
Option 2: $4$
Option 3: $\sqrt{3}$
Option 4: $2 \sqrt{3}$
Correct Answer: $4$
Solution : It is known that the area of the equilateral triangle = $\frac{\sqrt{3}}{4}a^2$ Where $a$ is the side of the equilateral triangle. It is given that the area of the equilateral triangle is $4\sqrt{3}$ cm$^2$ So, $\frac{\sqrt{3}}{4}a^2$ = $4\sqrt{3}$ ⇒ $a^2 = 16$ ⇒ $a =
Question : Cooperative farming has been most successful in which country?
Option 1: India
Option 2: Denmark
Option 3: USA
Option 4: Russia
Correct Answer: Russia
Solution : The correct answer is Russia.
There, cooperative farming took the form of collective farming, where member-owners worked together on the land. Both kolkhoz (run by the cooperative) and sovkhoz (run by the state) cooperatives existed. In the former Soviet Union (now Russia), it was at
Question : Which ground is called the 'Mecca of Cricket'?
Option 1: Eden Garden Cricket Ground
Option 2: Melbourne Cricket Ground
Option 3: Green Park cricket Stadium
Option 4: Lords cricket Ground
Correct Answer: Lords cricket Ground
Solution : The correct answer is Lords.
Lord's Cricket Ground in London, England, is often referred to as the "Mecca of Cricket." It was constructed in 1814 and named after Thomas Lord, the owner of Marylebone Cricket Club (the entity that administered cricket laws at
Question : Directions: The Venn diagram given below shows the artists in a music school. The Triangle represents Pianists, the Circle represents Drummers, the Rectangle represents Guitarists and the Square represents Singers. The numbers given in the diagram represent the number of persons in that particular category. How many singers are also pianists and guitarists but not Drummers?
Option 1: 9
Option 2: 5
Option 3: 7
Option 4: 12
Correct Answer: 5
Solution : The Venn diagram given below shows the artists in a music school. The Triangle represents Pianists, the Circle represents Drummers, the Rectangle represents Guitarists and the Square represents Singers. In the diagram, the shaded parts represent the singers are also pianists and guitarists but not
Question : If the height and slant height of a cone are 21 cm and 29 cm, respectively. Find its volume. (Use $\pi=\frac{22}{7}$)
Option 1: 8800 cm3
Option 2: 8708 cm3
Option 3: 8440 cm3
Option 4: 8080 cm3
Correct Answer: 8800 cm3
Solution : Given, height $= h = 21\ \mathrm{cm}$ Slant height $=l=29\ \mathrm{cm}$ Let $r$ be the radius. We know, $l^2=h^2+r^2$ ⇒ $r^2=l^2-h^2$ ⇒ $r^2=29^2-21^2$ ⇒ $r^2=841-441$ ⇒ $r^2=400$ ⇒ $r=20$ cm Now, Volume $=\frac{1}{3}\pi r^2h$ $=\frac{1}{3}\times\frac{22}{7}\times(20)^2\times21$ $=\frac{1}{3}\times\frac{22}{7}\times400\times21$ $=8800$ cm3 Hence, the correct answer
Question : A solid metallic sphere of radius 6.3 cm is melted and recast into a right circular cone of height 25.2 cm. What is the ratio of the diameter of the base to the height of the cone?
Option 1: 2 : 1
Option 2: 3 : 2
Option 3: 1 : 2
Option 4: 2 : 3
Correct Answer: 1 : 2
Solution : The radius of the sphere ($R$) = 6.3 cm The height of the cone ($h$) = 25.2 cm Volume of sphere = $\frac{4}{3} \pi R^3$ Volume of cone = $\frac{1}{3} \pi r^2h$ According to the question $\frac{4}{3} \pi R^3$ = $\frac{1}{3} \pi r^2
Question : Comprehension:
In the following passage, some words have been deleted. Fill in the blanks with the help of the alternatives given. Select the most appropriate option for each blank.
Swarms of the desert locust, which invaded India via Pakistan in April, have made (1)_____ way to at least five states, (2)____ a trail of destruction in their (3)_____. Desert locusts move in large groups, (4)_____ swarms, and can eat crops up (5)_____ their own weight every day. When millions of (6)____ descend on a crop, they destroy (7)_____. The desert locust is considered the (8)_____ destructive migratory pest in the world (9)_____ a single swarm covering one square kilometre can (10)____ up to 80 million locusts. As per eyewitnesses, the swarm which entered India from Pakistan was about two to three kilometres long.
Question:
Select the most appropriate option for blank number 6.
Option 1: vermin
Option 2: birds
Option 3: animals
Option 4: locusts
Correct Answer: locusts
Solution : The correct choice is the fourth option.
The word locusts is the correct choice, as it refers back to the subject of the sentence, specifying what descends on the crop and causes destruction.
In the given passage some words have been deleted. Fill in the blanks with the help of the alternatives given. Select the most appropriate option for each number.
Ragi is a popular annual plant that is (1) _________ with healthy nutrients. It is a good (2)_______ of iron, protein, calcium and (3) ________ minerals. It is also rich in fibre and (4)_______ in weight loss as it contains (5) ______ saturated fats.
Select the most appropriate option to fill in blank No.5
Option 1: applicable
Option 2: negligible
Option 3: communicable
Option 4: negotiable
Correct Answer: negligible
Solution : The second option is correct.
Negligible: So small or unimportant as to be not worth considering; insignificant.
As per the context of the sentence, the above-mentioned plant contains a very insignificant amount of saturated fats.
Hence, we find that the adjective negligible is
Question : Which of the following countries was the host of the ICC Men's T20 World Cup in 2021?
Option 1: West Indies and USA
Option 2: Australia and New Zealand
Option 3: UAE and Oman
Option 4: England and Scotland
Correct Answer: UAE and Oman
Solution : The correct answer is UAE and Oman.
The matches for India's team were held in Oman and the United Arab Emirates during the seventh ICC Men's T20 World Cup, which ran from October 17 to November 14, 2021. The reigning champions, the
Question : Select the most appropriate ANTONYM of the given word. IMPUDENT
Option 1: arrant
Option 2: brazen
Option 3: blatant
Option 4: modest
Correct Answer: modest
Explanation: "Modest" is the opposite of "impudent". Impudence refers to a lack of respect or rudeness, while modesty refers to having or showing a moderate or humble estimate of one's merits, abilities, importance, or value.
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