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Question : The angle of elevation of the top of a tower from a point on the ground is 30° and moving 70 m towards the tower it becomes 60°. The height of the tower is:
Option 1: $10$ m
Option 2: $\frac{10}{\sqrt{3}}$ m
Option 3: $10\sqrt{3}$ m
Option 4: $35\sqrt{3}$ m
Correct Answer: $35\sqrt{3}$ m
Solution : Let $AB$ be the tower and $C$ and $D$ be the point of observation. $AB = h$ and CD = 70 m In $\triangle ABD$, $\frac{AB}{BD}=\tan$ 60° ⇒ $\frac{AB}{BD}=\sqrt3$ ⇒ $BD = \frac{AB}{\sqrt3}$ ⇒ $BD=\frac{h}{\sqrt3}$ In $\triangle ABC$, $\frac{AB}{BC}= \tan$ 30° ⇒ $\frac{AB}{BC}= \frac{1}{\sqrt3}$
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. On Hauz Khas Road, at the entrance to the pedestrianised Hauz Khas Village, the guard (1)________ the barrier asks you to halt and directs (2)______ to the parking lot. It's 5 p.m. and the parking lot is nearly empty as shops are closed and there are (3)________ any shoppers. There aren't many people on the lane leading to the (4)_________ area either. This is unusual for HKV (as it is popularly known) (5)_______ it is one of Delhi's popular shopping areas. Initially a hub for designer (6)________, the HKV experience (7)_________ a throbbing mix of cafes, art galleries, curio shops, gyms, and, of course, fashion boutiques. The quirky neighbourhood was a hit (8)_________ with youngsters and tourists for its happening nightlife. These days, however, night comes hours (9)______ dusk at HKV, as you can only see street dogs, security guards, a few takeaway joint managers, and bored shop attendants (10)________ to reach home early. Question: Select the most appropriate option to fill in the blank 3.
Option 1: openly
Option 2: clearly
Option 3: hardly
Option 4: simply
Correct Answer: hardly
Solution : The third option is the correct answer.
The adverb "hardly" is used here to convey that there are very few shoppers. It emphasises the scarcity or almost nonexistent presence of shoppers in the parking lot. "Hardly" is an appropriate choice to express the minimal quantity
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 air has become very dirty in (1)______ parts of the world. This is of course (2)______ to your health. Experts say many people die (3)______ it each year. There is a new study on (4)______ pollution which comes from the experts of the World Health Organization (WHO) (5)______ is an agency of the United Nations. If you (6)______ unhealthy air for a long period of time, you could (7)______ sick. Air pollution has been linked to many diseases (8)______stroke and cancer. The WHO says that seven million (9)______ die each year as a result of the (10)______ air. Question: Select the most appropriate option to fill in the blank no. 8.
Option 1: similar
Option 2: like
Option 3: such
Option 4: same
Correct Answer: like
Solution : The correct choice is the second option.
Explanation: In the sentence, like would function as a preposition, introducing examples of diseases associated with air pollution. The word "like" is used to indicate similarity or example. The sentence conveys that air pollution is linked to
Question : The denominator of a fraction is 4 more than twice the numerator. When the numerator is increased by 3 and the denominator is decreased by 3, the fraction becomes $\frac{2}{3}$. What is the difference between the denominator and numerator of the original fraction?
Option 1: 13
Option 2: 10
Option 3: 12
Option 4: 11
Correct Answer: 11
Solution : Let the original fraction be $\frac{x}{y}$ According to the question, $y = 2x + 4$ .............(1) When 3 is added to the numerator and 3 is subtracted from the denominator the fraction becomes $\frac{2}{3}$ ⇒ new fraction = $\frac{x + 3}{y – 3} = \frac{2}{3}$
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Having a BSc in Library Science can provide you with the necessary knowledge and skills to pursue a career in
Jain University offers the MBA programme through CMS Business School . According to the official website of the university, the institute has a decent placement record. As per the placement data, more than 300 companies participated in the placement process, and the average package for the placed graduates stood at
Question : This step of planning process is the real point of decision making. Identify the step?
Option 1: Identifying the alternative course of action
Option 2: Evaluating the alternative courses of action
Option 3: Selecting the alternative
Option 4: None of the above
Correct Answer: Selecting the alternative
Solution : As a result, the best alternative is chosen, but there is no mathematical formula for doing so. Sometimes, instead of choosing one option, a combination of options can be chosen. The best plan is one that is feasible, profitable, and has the fewest
Question : The Inter-State Council consists of________ ministers of Cabinet rank in the Union Council of Ministers nominated by the Prime Minister of India.
Option 1: six
Option 2: two
Option 3: ten
Option 4: four
Correct Answer: six
Solution : The correct answer is six.
The Indian Constitution's Article 263 provides for the creation of an inter-state council. It will improve the States' and the Centre's coordination.
It consists of the following members:
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