Question : If $a^2+b^2+c^2=16$, $x^2+y^2+z^2=25$ and $ax+by+cz=20$, then the value of $\frac{a+b+c}{x+y+z}$ is:

Option 1: $\frac{3}{5}$

Option 2: $\frac{5}{3}$

Option 3: $\frac{4}{5}$

Option 4: $\frac{5}{4}$

Question : Direction: Read the passage carefully and choose the correct answer from the given alternatives:
Street theatre in India is a well established ancient art form. Despite the proliferation of modern means of entertainment and communication, the street theatre continues to flourish in India. Street theatre as a channel of communication has for centuries been propagating reforms by highlighting social, economic and political issues present in the society. Unlike in the olden days, its performance is no Ionger restricted to villages or small localities of the city. Today small groups of performers including students would stage performances to mobilize public opinion or to help create or raise awareness over a particular issue of public importance. Themes on substance abuse, AIDS awareness, and domestic violence are some of the areas highlighted by contemporary street theatre troupe. Unlike in regular drama, street drama employs very few props and images. The human body becomes the main tool in which choreography, mime, dialogues, songs and slogans are extensively used. Street theatre is one of the most intimate media. Its appeal is to the emotions leading to a quick psychological impact on audiences. By being local and live they also are able to establish not only direct contact with the audience but by being cost-effective and flexible they are popular among all age groups.

Biggest advantage of the street theatre is that it is _____________to stage.
 

Option 1: cost-effective
 

Option 2: not effective
 

Option 3: nothing
 

Option 4: expensive

Question : Comprehension:
Read the given passage and answer the questions that follow.
It is not an exaggeration to say that the question of where and when the Black Death, the deadliest pandemic ever, originated is one of the biggest mysteries in human history. After all, the Black Death was the first wave of the second plague pandemic of the 14th to early 19th centuries. It killed some 50-60% of the population in Europe, the Middle East and North Africa and an unaccountable number of people in Central Asia. Different proposals, based on competing theories, have been put forward. But in 2017, I came across some records describing an intriguing medieval cemetery in Kara-Djigach, Chüy Valley, northern Kyrgyzstan, which I suspected may hold the key. As part of a multidisciplinary team co-led by Maria Spyrou at the University of Tubingen, we have now investigated several specimens from individuals buried at that site – and come up with an answer. The idea that the Black Death originated in the east – territories overlapping, roughly speaking, Central Asia, Mongolia and China – dates back to the contemporaries of the pandemic in Europe and the Islamic world. The modern, academic Chinese origin theory dates back to at least 1756-8 and a publication about the history of Central Asia by French scholar Joseph de Guignes.
What is the theme of the passage?

Option 1: Pitfall of Black Death

Option 2: Impact of Black Death

Option 3: Origin of Black Death

Option 4: History of Black Death

Question : Complete each sentence by choosing the correct homophone and writing it in the blank.

 I've got a hole in the __________ of my footwear

Option 1: Sole 

Option 2: Soul

Option 3: Showl

Option 4: Howl

Question : Assertion: "Initiative" fosters a sense of responsibility among employees.

Reason: It encourages employees to come up with innovative ideas and solutions.

Option 1: Both assertions and reasons are correct, and the reason is the correct explanation of the assertion.

Option 2: Both are correct, but the reason is not the correct explanation.

Option 3: The assertion is correct, the reason is incorrect.

Option 4: The assertion is incorrect, the reason is correct.

Question : Assertion: Scientific management principles aim to optimize worker output.

Reason: It promotes standardization and specialization in tasks.

Option 1: Both assertions and reasons are correct, and the reason is the correct explanation of the assertion.

Option 2: Both are correct, but the reason is not the correct explanation.

Option 3: The assertion is correct, the reason is incorrect.

Option 4: The assertion is incorrect, the reason is correct.

Question : It is concerned with optimal procurement as well as the uses of finance. Which of the following statement is highlighted in the given statement?
 

Option 1: Financial leverage
 

Option 2: Financial planning
 

Option 3: Financial management
 

Option 4: None of the above

Question : Directions: The following sentences form a paragraph. The rest of the sentences are marked as A, B, C, D, E and F. Sentence 'B' is in the correct place. The rest of the sentences are not given in their proper order. Read the sentences and answer the following questions.

A. Accordingly, the share of agriculture in the national product/income was as high as 56.6 percent in 1950-51
B. It supplies food and raw materials in the country.
C. Agriculture is one of the most important sectors of the Indian economy.
D. However, with the development of industries and the service sector, the percentage of the population depending on agriculture has come down.
E. At the time of independence, more than 70 percent of India's population depended on agriculture to earn a livelihood.
F. Agriculture is also a major source of foreign exchange earnings through export.

Question:
Which sentence should be the SIXTH sentence in the paragraph?
 

Option 1: A
 

Option 2: C
 

Option 3: F
 

Option 4: E
 

Question : Which of the following is not correct about the jurisdiction of the high court?

Option 1: It controls the subordinate courts within its jurisdiction.

Option 2: It has the power of judicial review.

Option 3: It provides an advisory opinion to the President of India.

Option 4: It has writ jurisdiction.