Select the most appropriate option to fill in blank No. 2

Directions: Each of the sentences in the following items has an underlined word, followed by four choices. Select the most appropriate option that is an improvement of the underlined word in the context of the sentence, and mark your response on the Answer Sheet accordingly.

 The lawyer gave a cogent argument that convinced the jury.

{(3sin x – 4sin 3x)/(3sin y – 4sin 3y)}² + 1

If x and y are complementary angles, what is the value of the following expression?

What will be the remainder when we divide 3⁵⁰ + 5⁵⁰ by 34.

In this section an underlined word has been used variously in three sentences S1, S2 and S3. You are required to determine in how many sentences has the word been used correctly, and mark your answer from the options (1), (2) or (3) given below. If the word has not been correctly used in any one or more of the given sentences mark your response as (4).

S1- In the present condition, the industry will not intensify perhaps more than a year. 

S2- He intensify cashew workers that their problems would be raised in the next session.

S3- Till the demands are met, we will intensify agitations inside both the Houses and outside them.

In this section an underlined word has been used variously in three sentences S1, S2 and S3. You are required to determine in how many sentences has the word been used correctly, and mark your answer from the options (1), (2) or (3) given below. If the word has not been correctly used in any one or more of the given sentences mark your response as (4).

S1- A road safety foundation for two-wheeler riders can be started at the State level.

S2- It was foundation of new state that led to all reforms.

S3- Free-to-use helmets can also be foundation at important junctions.

Which of the following acids is NOT present in grapes?

Find the value of (sin⁴ x + cos² x)/(cos⁴ x + sin² x).

Arrange the following historical works based on Mughal rulers in correct sequence:

1. Tuzuk-i-Baburi

2. Akbarnama

3. Tuzuk-i-Jahangiri

4. Badshah Nama

Select the correct order:

Which of the following groups of organisms are involved in the breakdown of dead and decaying organisms?

Farad is the unit of ______.

A copper wire is bent to form a rectangle of length 12 cm and breadth 10 cm. If the copper wire is rebent to form a semicircle, then its radius will be?

The process of profiting from price or yield differences between different markets is called __________.

In microeconomics, which curve illustrates how the quantity demanded of a good changes with its price?

Which of the following devices helps to maintain a potential difference across a conductor?

The mean and median of a dataset are 60 and 70, respectively. Using the relationship between the mean, median, and mode, calculate the mode of the dataset.

Directions: In the following items, a pair of words is provided. You are required to select the option that most appropriately describes the meaning of both the words and mark your response accordingly.

Zeugma and Zymurgy

Match List I (Parts of Speech) with List II (Example)

Code:
A B C D

Match List I (Parts of Speech) with List II (Example)

Code:
A B C D

In a circuit, if the voltage is constant and the resistance increases, what happens to the current?

If in the given figure ∠OGL = ∠OCB and ∠LGP = 135°and ∠BOG = 75° then, find ∠OBC.

Which of the following industrial plants is supplied water from the Bhadravati River?

The company will approve the budget, ____________ all the paperwork is submitted on time.

Select the most appropriate option to fill in blank No. 9

At which location was the Viksit Bharat Strategy Room (VBSR) recently inaugurated by NITI Aayog to foster data-driven governance and evidence-based policymaking?

Directions: Each of the sentences in the following items has an underlined word, followed by four choices. Select the most appropriate option that is an improvement of the underlined word in the context of the sentence, and mark your response on the Answer Sheet accordingly.

The team celebrated their triumph after months of hard work.

Ladakhi New Year, known as Losar, is celebrated by placing symbolic dough models of ____, along with the sun and moon, in households.

A word has been given in the following question. In response to the highlighted word, sentences have been provided in the options below. Find the appropriate statement representing the given word.

Gather

In which state of India is the Khajuraho dance festival celebrated?

A beam of light after passing through a concave lens appears to diverge from a point 25 cm behind the lens. The power of the lens is:

Directions: Each of the sentences in the following items has an underlined word, followed by four choices. Select the most appropriate option that is an improvement of the underlined word in the context of the sentence, and mark your response on the Answer Sheet accordingly.

The company’s policy was stringent and ensured full compliance with regulations.

Consider the following statements about Indian agriculture:

1. Agriculture in India is largely dependent on monsoon rainfall.

2. The share of agriculture in India’s GDP has been gradually increasing since independence.

3. India is the second-largest producer of rice and wheat in the world.

Which of the statements given above are correct?

Directions: In the following items similar-sounding words are given, followed by sentences wherein, in each sentence, one of these words has been used, and underlined. You are required to identify those sentences in which these words have been used correctly and mark your response in the Answer Sheet accordingly.

Aural, Oral

1. The therapy focused on improving the child’s aural comprehension skills.

2. Oral traditions preserve history through storytelling rather than writing.

3. The patient suffered from an oral infection in the ear.

In which of the sentences given above has/have the word(s) been used correctly?

Directions:

In the following items a pair of statements (S1, S2) is given. Select the most appropriate and relevant co-relationship of the second statement to the first from among the options (a), (b), (c), and (d), and mark your response on the Answer Sheet accordingly.

S1. Birds of a feather flock together.
S2. People with similar interests or traits often avoid one another.

The second statement:

Rabindranath Tagore had renounced his "Knightood" and expressed his pain and anger after which of the following events of Indian National Movement?

Consider the following statements:

1. The headquarters of ICAR is located in New Delhi.

2. It functions under the Ministry of Agriculture and Farmers Welfare.

3. It is the apex body for coordinating and managing agricultural education and research in India.

Which of the above statements are correct?

If x³ + y³ = 88 and x + y = 4 then what would be the value of xy, where x and y are the real numbers?

Which of the following devices is/are based on heating effect of electric current?
(I) Incandescent lamp
(ii) Electric geyser
(iii) Electric generator

The refractive index of a material is 1.6. What is the speed of light in that material if c = 3 × 10⁸ m/s?

Directions: In the following items similar-sounding words are given, followed by sentences wherein, in each sentence, one of these words has been used, and underlined. You are required to identify those sentences in which these words have been used correctly and mark your response in the Answer Sheet accordingly.

Palter, Paltry

1. The politician was accused of paltry with reporters, often giving evasive answers instead of clarity.

2. His paltry contribution to the fund was hardly enough to make any real difference.

3. He was known to palter during negotiations, dodging direct commitments.

In which of the sentences given above has/have the word(s) been used correctly?

Identify the segment in the sentence, which contains the grammatical error.

Whenever you try to compare the two, you should be careful that quality is most important than quantity.

In the following question the 1st and the last part of the sentence/passage are numbered 1 and 6. The rest of the sentence/ passage is split into fourparts and named P, Q, R and S. These four parts are not given in their proper order. Read the sentence/passage and find out which of the four combinations is correct.

1. In the early 1920's, settlers came to Alaska looking for gold.
P. Today, people use it to get from place to place.
Q. The trail they used to travel inland is known today as the Iditarod trail.
R. They travelled by boat, to Seward and Krik and from there by land into the gold fields.
S. The Iditarod trail quickly became a major thoroughfare in Alaska.
6. In the winters, the only means of travel down this trail is by dog sledge.

Which of the following acid-base pairs will produce a salt of ammonium chloride?

An object, starting from rest, moves with constant acceleration of 4 m/s². After 8 s, its speed is:

According to Newland’s Law of Octaves, every__________ element had properties similar to that of the first element

Select the most appropriate option to fill in blank No. 4

Directions: In the following items similar-sounding words are given, followed by sentences wherein, in each sentence, one of these words has been used, and underlined. You are required to identify those sentences in which these words have been used correctly and mark your response in the Answer Sheet accordingly.

Canon, Cannon

1. The poet’s works are now part of the literary canon studied worldwide.

2. The soldiers loaded the cannon before the battle commenced.

3. The king declared that every scholar must write their cannon of beliefs.

In which of the sentences given above has/have the word(s) been used correctly?

Piyush gives 29% of his monthly income to ‘A’ and 16% is divided between ‘B’ and ‘C’ such that ‘B’ receives 43.5% of the amount received by ‘B’ and ‘C’ together. If ‘C’ receives Rs. 1,101 less than 37.5% of the amount received by ‘A’, then find the monthly income of Piyush.

______________ you refuse to cooperate, I shall have to take harsh steps.

If 1 + sin²θ - 3 sinθ cosθ = 0, then find the value of cotθ (θ ≠ 45°)?