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Question : A man standing on the bank of a river observes that the angle of elevation of the top of a tree just on the opposite bank is $60°$. But the angle of elevation is $30°$ from a point which is at a distance $20\sqrt{3}$ ft away from the bank. Then the height of the tree is:
Option 1: 60 ft
Option 2: 45 ft
Option 3: 30 ft
Option 4: 15 ft
Correct Answer: 30 ft
Solution : Let $h$ be the height of the tree and $x$ be the breadth of the river. From the above figure we get, $\tan60°=\frac{h}{x}$ ⇒ $\sqrt{3}=\frac{h}{x}$ ⇒ $x=\frac{h}{\sqrt{3}}$----------(equation 1) Also, $\tan30°=\frac{h}{x+20\sqrt{3}}$ ⇒ $\frac{1}{\sqrt{3}}=\frac{h}{x+20\sqrt{3}}$ ⇒ $x=h\sqrt{3}–20\sqrt{3}$ ---------(equation 2) Now equalising the values of $x$ from both
Question : Directions: Read the given statements and conclusions carefully. Assuming that the information given in the statements is true, even if it appears to be at variance with commonly known facts, decide which conclusions logically follow(s) from the statements. Statements: I. Some A are B. II. All C are B. Conclusions: I. Some B are A is a possibility. II. No C is A. III. All A are C.
Option 1: None of the conclusions follow
Option 2: Only conclusion I follows
Option 3: All the conclusions follow
Option 4: Only conclusion III follows
Correct Answer: Only conclusion I follows
Solution : The possible Venn diagram, according to the given statements is as follows –
Let's analyse the conclusions – Conclusion (I): Some B are A is a possibility – From the Venn diagram, it is evident that the circles representing B and A
Question : Which of the following books has been written by Kishwar Desai?
Option 1: The Red Devil
Option 2: Witness the Night
Option 3: Tonight This Savage Rite
Option 4: Earth and Ashes
Correct Answer: Witness the Night
Solution : The Correct Answer is Witness the Night
Witness the Night was written by Kishwar Desai. She followed up Witness the Night, which won the UK's Costa First Novel Award in 2010, with Origins of Love (2012) and Sea of Innocence (2013). In the
Question : Directions: In the following question, select the one different from the other three alternatives.
Option 1: (97 – 16)
Option 2: (78 – 15)
Option 3: (58 – 13)
Option 4: (69 – 14)
Correct Answer: (69 – 14)
Solution : Let's check the options – First option: (97 – 16); 9 + 7 = 16 Second option: (78 – 15); 7 + 8 = 15 Third option: (58 – 13); 5 + 8 = 13 Fourth option: (69 – 14); 6 + 9
Question : A circle and a square have the same area. The ratio of the side of the square to the radius of the circle will be:
Option 1: $\sqrt\pi:1$
Option 2: $1:\sqrt\pi$
Option 3: $(\pi)^2:1$
Option 4: $1:\sqrt2\pi$
Correct Answer: $\sqrt\pi:1$
Solution : Given: A circle and a square have the same area. We know that the area of the square is $a^2$, where $a$ is its side, and the area of the circle is $\pi\times r^2$, where $r$ is its radius. According to the question, $\pi\times r^2=a^2$
Question : Select the most appropriate meaning of the given idiom. Spill the beans
Option 1: Open the flow of the stopped water
Option 2: Liberate the controlled emotions
Option 3: Distribute food grains freely
Option 4: Disclose the secrets accidentally
Correct Answer: Disclose the secrets accidentally
Solution : The correct choice is the fourth option.
Spill the beans to disclose the secrets accidentally which in turn means revealing or disclosing hidden information or secrets, often unintentionally.
Question : If $x + y = 10$, $2xy = 48$ and $x > y$, then find $2x - y$.
Option 1: 6
Option 2: 8
Option 3: 4
Option 4: 3
Correct Answer: 8
Solution : Given that $x + y = 10$ and $2xy = 48$, $⇒y = 10 - x$ Substituting this into the second equation, $⇒2x(10 - x) = 48$ $⇒x^2-10x+24=0$ $⇒(x-4)(x-6)=0$ $x = 6$ and $x = 4$ But given that $x > y$, we take $x
Question : _____scheme launched by the Central Government aims to improve rural livelihoods, promote rural development, and strengthen the Panchayati Raj across the country.
Option 1: Pradhan Mantri Fasal Bima Yojana
Option 2: Gram Uday se Bharat Uday Abhiyan
Option 3: Stand up India scheme
Option 4: National RU URBAN Mission
Correct Answer: Gram Uday se Bharat Uday Abhiyan
Solution : The correct answer is Gram Uday se Bharat Uday Abhiyan.
The comprehensive scheme aims to promote social harmony and empower people in villages by upgrading Panchayati Raj Institutions with basic amenities such as drinking water, sanitation, etc. This nationwide program
Question : Improve the underlined part of the sentence. Choose 'No improvement' as an answer if the sentence is grammatically correct. It is the most effective means of mass communication.
Option 1: a most effecting
Option 2: a most effectives
Option 3: the most effectively
Option 4: No improvement
Correct Answer: No improvement
Solution : The fourth option is the correct choice.
The original sentence is already grammatically correct. It uses the superlative form the most effective to convey that the means of mass communication being discussed is the most efficient or successful among various options.
Therefore, no improvement
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