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Question : Possible measures of the three angles of a triangle are:
Option 1: 33°, 42°, and 115°
Option 2: 40°, 70°, and 80°
Option 3: 30°, 60°, and 100°
Option 4: 50°, 60°, and 70°
Correct Answer: 50°, 60°, and 70°
Solution : The sum of the angles of a triangle is 180°. Here, 50° + 60° + 70° = 180° Hence, the correct answer is '50°, 60°, and 70°'.
Question : What is the value of $(a^2+b^2+4c^2-ab-2bc-2ca)(a+b+2c)$?
Option 1: $a^3 + b^3 + 8c^3 – 8abc$
Option 2: $a^3 + b^3 + 6c^3 – 4abc$
Option 3: $4a^3 + b^3 + 8c^3 – 9abc$
Option 4: $a^3 + b^3 + 8c^3 – 6abc$
Correct Answer: $a^3 + b^3 + 8c^3 – 6abc$
Solution : $(a^2+b^2+4c^2-ab-2bc-2ca)(a+b+2c)$ $= a^3+b^2a+4c^2a-a^2b-2abc-2ca^2 + a^2b+b^3+4c^2b-ab^2-2b^2c-2abc + 2a^2c+2b^2c+8c^3-2abc-4bc^2-4c^2a$ $= a^3+b^3+8c^3-2abc-2abc-2abc+b^2a-ab^2+4c^2a-4c^2a-a^2b+ a^2b-2ca^2 + 2a^2c-2b^2c+2b^2c-4bc^2+4c^2b$ $= a^3+b^3+8c^3-6abc$ Hence, the correct answer is $ a^3+b^3+8c^3-6abc$.
Question : An indifference curve measures the same level of:
Option 1: output from two factors
Option 2: satisfaction from two commodities
Option 3: satisfaction from income and capital
Option 4: satisfaction from expenditure and saving
Correct Answer: satisfaction from two commodities
Solution : The correct answer is satisfaction from two commodities.
An indifference curve is a graph that depicts all the combinations of two commodities that provide the same satisfaction to the consumer. Indifference curves are downward sloping because customers are prepared to trade off
Question : Directions: Introducing a lady, Sumona said, She is my father–in–law's wife's only son's daughter's brother's father's sister. How is Sumona's father–in–law related to the lady?
Option 1: Father
Option 2: Brother–in–law
Option 3: Father–in–law
Option 4: Paternal uncle
Correct Answer: Father
Solution : As per the given information, the family tree will be as follows –
Here, the quadrilateral represents the male and the circular figure represents the female in the figure.
So, from the above family tree, Sumona's father–in–law is the father of that lady. Hence, the
Question : Select the most appropriate ANTONYM of the given word. Anxiety
Option 1: Discomfort
Option 2: Relief
Option 3: Agitation
Option 4: Stress
Correct Answer: Relief
Solution : The correct choice is the second option.
Explanation: Relief stands opposite to anxiety, as it signifies the release from worry or tension, offering a sense of comfort or ease.
The meanings of the other options are as follows:
Question : The Standard Meridian of India (82°30' E) passes through _______ state of India.
Option 1: Karnataka
Option 2: Madhya Pradesh
Option 3: West Bengal
Option 4: Punjab
Correct Answer: Madhya Pradesh
Solution : The correct option is Madhya Pradesh.
The Standard Meridian of India, which is 82°30' E, passes through the central part of the country. It is considered the standard time for the whole country and is also known as the Central Meridian. It passes
Question : The following sentence has been split into four segments. Identify the segment that contains a grammatical error. The university has putting off / the semester examination / for the second time now / due to technical issues.
Option 1: the semester examination
Option 2: due to technical issues
Option 3: for the second time now
Option 4: The university has putting off
Correct Answer: The university has putting off
Solution : The error lies in the fourth option.
The verb "putting off" should be preceded by the auxiliary verb "been" to form the correct structure of the present perfect continuous tense.
Therefore, the correct sentence should be: The university has been putting
Question : Comprehension: Read the passage carefully and answer the questions that follow. India's favourable demographic trends, which have increased the workforce's percentage of the overall population, have paved the way for a significant middle-class expansion. A big population bulge emerging from absolute poverty and set to reach the middle class would generate new dynamics. In India, over 55 percent of the population is predicted to reach the middle class. In reality, because India's demographics are significantly younger than China and the United States, the country's middle class might be the world's largest (in terms of population) by 2025. It is no exaggeration to argue that future growth will be reliant on the increasing middle class and that the middle class's development will be reliant on growth. Growth has been fuelled by both private consumption and saving, both of which are fuelled by the middle class. India's private consumption accounts for over 60% of the country's GDP, while private consumption growth has contributed to 70% of the country's growth since 2000. Even though China's middle class is now greater than India's, private spending in the former accounts for a lesser share of growth. In contrast to the United States, where domestic savings are dropping and the country borrows excess funds from outside to invest and expand, India's domestic savings and investments are increasing and funding investments. The emergence of the middle class is anticipated to coincide with a transition away from large-scale informality, which now characterises much of the services and industrial sectors, and toward more formal, wage-earning, and medium-scale firms. Technological advancements will spread at a faster rate. Cities will expand as job possibilities concentrate on them. If there is enough movement across states and from rural to urban regions, the population increase will be more evenly distributed.
Question: What is the tone of the passage?
Option 1: Critical
Option 2: Objective
Option 3: Subjective
Option 4: Didactic
Correct Answer: Objective
Solution : The correct option will be the second option.
The tone of the passage is predominantly objective.
The author presents information and analyses about India's demographic trends, the growth of the middle class, and its impact on the country's economy factually and neutrally. The passage does
Question : Directions: Which answer figure will combine with the pattern in the question figure?
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution : On comparing the question figure and all the answer figures, the following figure will combine and make the complete pattern –
Hence, the first option is correct.
Question : Choose the incorrectly spelt word.
Option 1: Tihgt
Option 2: Locker
Option 3: Rift
Option 4: Stock
Correct Answer: Tihgt
Solution : The correct choice is the first option.
Tight is the correct spelling, and it means held or kept together firmly. The placement of 'h' and 't' is not correct.
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