University of Delhi, Delhi
Question : Comprehension: In the following passage, some words have been deleted. Read the passage carefully and select the most appropriate option to fill in each blank.
Daniel talks to people about the right to life. He says, “We have the right to live in freedom and safety!” but the people do not (1)_______ and they say that the War is a big deal and it is not up to us nor up to the government. The government knows what to do and only the government can decide (2)______ is best. And if the government says that there must be war, then it must be so. Daniel does not accept this and asks if there is a better solution. As all wars end with agreements, can’t we make the agreements without fighting? Can’t the government solve this (3)_________? Isn’t that the reason we have a government in the first place? He decides to (4)______ to people in his government. He decides to write to them and let them know what he thinks. He knows one opinion does not matter much, but he also knows that if everyone in his own country and on the other side would do this, there will (5)________ be no more wars.
Question:
Select the most appropriate option to fill in the blank number 1.
Option 1: grant
Option 2: agree
Option 3: consent
Option 4: announce
Correct Answer: agree
Solution : The correct choice is the second option.
"Agree" means to have the same opinion about something or to concur, and is the appropriate choice for the blank, which helps in conveying the intended meaning.
Question : In-group bias refers to:
Option 1: The tendency to favor one's own group over others
Option 2: The preference for interacting with out-group members
Option 3: The equal treatment of in-groups and out-groups
Option 4: The competition between different groups
Correct Answer: The tendency to favor one's own group over others
Solution : In-group bias refers to the tendency to favor one's own group (the in-group) over others (the out-groups). This bias can manifest in various ways, including preferential treatment and positive evaluations of in-group members.
Question : ______ is the change in total utility due to the consumption of one additional unit of a commodity.
Option 1: Product Utility (PU)
Option 2: Revenue Utility (RU)
Option 3: Demand Utility (DU)
Option 4: Marginal Utility (MU)
Correct Answer: Marginal Utility (MU)
Solution : The correct option is Marginal Utility (MU).
The change in total utility due to the consumption of one additional unit of a commodity is called Marginal Utility. It is the additional satisfaction or benefit that a consumer derives from consuming one more
Question : Whose duty is it to ensure that the department has the necessary personnel?
Option 1: Top-level managers
Option 2: Middle-level managers
Option 3: Operational managers
Option 4: None of the above
Correct Answer: Middle-level managers
Solution : The middle level acts as a link between top and lower level management. Motivate people to improve their performance in order to achieve desired objectives. Middle-level managers need to ensure that the department has the necessary personnel.
Hence, Option B is correct.
Question : If $\left(x+\frac{1}{x}\right)=5$, and $x>1$, what is the value of $\left(x^8-\frac{1}{x^8}\right)?$
Option 1: $60605 \sqrt{21}$
Option 2: $60615 \sqrt{21}$
Option 3: $60705 \sqrt{21}$
Option 4: $60725 \sqrt{21}$
Correct Answer: $60605 \sqrt{21}$
Solution : Given: $\left(x+\frac{1}{x}\right)=5$--------------(i) Now, $\left(x^8-\frac{1}{x^8}\right)$ $=(x^4-\frac{1}{x^4})$$(x^4+\frac{1}{x^4})$ $=(x^2-\frac{1}{x^2})$$(x^2+\frac{1}{x^2})$$(x^4+\frac{1}{x^4})$ $= (x-\frac{1}{x})$$(x+\frac{1}{x})$$(x^2+\frac{1}{x^2})$$(x^4+\frac{1}{x^4})$----------(ii) Squaring equation (i), we get, $(x+\frac{1}{x})^2 = 5^2$ $⇒(x^2+\frac{1}{x^2}+2) = 25$ $⇒(x^2+\frac{1}{x^2}) = 23$-----------------(iii) Squaring equation (iii), we get, $(x^2+\frac{1}{x^2})^2 = 23^2$ $⇒(x^4+\frac{1}{x^4}+2) = 529$ $⇒(x^4+\frac{1}{x^4}) = 527$---------------(iv) Subtracting 2 on both sides of equation (iii),
Question : Which of the following diseases is transmitted by the bite of an infected female phlebotomine sandfly, characterised by irregular fever, weight loss and enlargement of the spleen and liver?
Option 1: Japanese encephalitis
Option 2: Visceral leishmaniasis
Option 3: Diarrhoea
Option 4: Anaplasmosis
Correct Answer: Visceral leishmaniasis
Solution : The correct answer is Visceral leishmaniasis.
More than 20 different Leishmania species' protozoan parasites are the cause of leishmaniases, a category of illnesses. Humans contract these parasites through the bite of an infected female phlebotomine sandfly, a tiny insect vector that is 2-3 mm
Question : How much simple interest (in INR) will INR 6,000 earn in 21 months at 8% per annum?
Option 1: 750
Option 2: 880
Option 3: 620
Option 4: 840
Correct Answer: 840
Solution : Principal, $P$ = INR $6000$ Time of investment, $T$ = $21\text{ months} = \frac{21}{12}$ years Rate of interest, $R$ = 8% per annum Simple interest = $\frac{\text{Principal × Rate × Time}}{100}$ ⇒ Simple interest = $\frac{6000\times 8\times \frac{21}{12}}{100}$ = INR $840$ Hence, the correct answer
Question : A shopkeeper buys pencils from a wholesaler at Rs. 20 for 40 pencils. He sells those pencils at Rs. 20 for 20 pencils. What was his profit or loss percentage?
Option 1: 50% Profit
Option 2: 80% Loss
Option 3: 100% Profit
Option 4: 20% loss
Correct Answer: 100% Profit
Solution : Cost price of a pencil = $\frac{20}{40}=0.5$ Selling price of a pencil = $\frac{20}{20}=1$ Profit = Selling price – Cost price = 1 – 0.5 = 0.5 Profit percentage = $\frac{\text{Selling price - Cost price}}{\text{Cost price}}\times100$ = $\frac{1 - 0.5}{0.5}\times100$ = $\frac{ 0.5}{0.5}\times100$ =
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