When the number of 2k + 1 form is divided by 7 leaves a remainder of 3. When divided by 5 the remainder is 4. What is the sum of all three digits such numbers?

Arrange the following metals in the correct order of reactivity.
K, Al, Fe, Au, Pb

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

The refractive index of fluid A is 1.47. This means:

What will be the fourth next member of the homologous series of the compound propene?

What is the rate of compound interest on a sum of money?

Statement I: The difference between compound interest and simple interest at the same rate of interest for two years is Rs. 43.20 and simple interest at the end of five years is Rs. 3600.

Statement II: The difference between compound interest and simple interest at the same rate of interest on Rs. 12000 for 3 years is Rs. 132.192.

Parts of a sentence are given below in jumbled order. Arrange the parts in the correct order to form a meaningful sentence.

The finest / writers of tragedy / was / Christopher Marlowe / of the Elizabethan

The formal British rule in India is understood to have commenced in 1757, after the Battle of ______.

“Amit Shah already holds the key portfolios of Union Home Minister and Minister of Cooperation in 2025.” Consider the following statements:

1. He continues to serve as Union Home Minister and Minister of Cooperation after the 2024 general elections.

2. The Home Minister’s tenure is constitutionally fixed for six years.

3. The Home Ministry oversees matters related to internal security, border management, and disaster response.

Which of the statements given above is/are correct?

Match the following:

Who among the following presided over the 1886 session of the Indian National Congress?

Which is the oldest mountain range in India?

A cube of side 8 cm is cut into some cubes of side 2 cm. Calculate the total surface area of all the small cubes.

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

In the given figure ∠APB = 33°, find the value of \(\sqrt{{1\over3}{{\times∠AOB}}}\).

The rate at which the Reserve Bank is ready to buy or rediscount bills of exchange or other commercial papers is called the ______. 

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. Prevention is better than cure.
S2. Taking precautions can save you from future problems.

The second statement:

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 on the Answer Sheet accordingly.

Venal and Venial

Which of these is not a characteristic of durable goods?

Match List I (Parts of Speech) with List II (Example) and select the answer using the code given below the Lists.

Code:
A B C D

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

In the given figure CD || AB, ∠CBA = 35°. Find the value of ∠CDB - ∠DBC.

The sale of government assets is also known as:

Given below are six sentences, four of which (P, Q, R, S), are jumbled. Pick the option that gives the correct order of P, Q, R, S.

S1- The site proposed at Miyapur is located close to the main road.

P- The title deed of the land is clear and no litigation is envisaged.

Q- Furthur, as there is a shopping complex close to the site, water and electricity may not be a problem.

R- Firstly, it is easily accessible as it is well connected to various parts of the city by three bus routes.

S- Most important of all, the building adjacent to the site is also available on lease.

S6- There is scope for expansion of the office as a plot of land on the north of the proposed site is vacant at present.

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

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

If a³ + b³ + c³ - 3abc = 252 and a + b + c = 6. Find the value of ab + bc + ca.

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

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 four parts 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. There was a large gathering at the party.
P. I, too wore a brand new gold jacket.
Q. My black leather shoes were shining.
R. It matched well with my new pair of faded stone washed pants.
S. Everybody had put-on new colourful clothes.
6. They had been polished.

A convex lens having power 5 D is placed in contact with a concave lens having power -3 D. The focal length of the combination will be:

The market in which security documents are traded directly between the raiser of capital and the buyer is known as _______.

In MS‑Word, which shortcut key is used to copy the selected content to the clipboard?

Select the most appropriate option to fill in blank No. 6

{(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?

Who among the following was the leader of 1857 revolt in Ramgarh state?

Select the most appropriate option to fill in blank No. 10

Which of the following best describes the spatial distribution of population?

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.

Adopt

Which of the following acids is NOT present in grapes?

Select the most appropriate option to fill in blank No. 8

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 four parts 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. Information Technology is a recent development.

P. These changes are attributed to the Internet, website, e-mail and Fax.

Q. As a result of these techniques, the whole world has shrunken into a global village.

R. The invention of the computer has accelerated the speed of computing.

S. It has brought about revolutionary changes in the field of communication.

6. Browsing Internet has become a regular feature.

A ladder is leaning against a 3 m high wall. It makes an angle of 60° with the ground. If another ladder is placed on the opposite side of the wall whose length is √3 times the length of the original ladder, then what will be the angle made by that ladder with the ground?

How many types of electric current are there?

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

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 committee’s report was laconic, containing only essential information.

In which of the following cities did Mahatma Gandhi lead the peasant movement against the imposed indigo cultivation by the British planters?

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:

The remainder when a number is divided by 15 the remainder is 3 and when the same number is divided by 4 the remainder is 1. What is the least number that satisfies both conditions?

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?

Consider the following statements regarding the Adi Karmayogi Abhiyan:

1. It was launched by the Ministry of Tribal Affairs on August 19, 2025.
2. It covers 1 lakh tribal villages across India.
3. The programme aims to create 20 lakh change leaders under the vision of Viksit Bharat 2047.

Which of the above statements is/are correct?