{(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?

Recently, Flipkart and Pine Labs launched a card aimed at improving which sector in India?

Study the given pie-chart and answer the question that follows.

The pie-chart shows the number of students (boys and girls) studying in standard 10 of various schools (X, Y, Z in the year 2022).

What is the difference between the total number of students (boys and girls) in school Y and Z together and the total number of students (boys and girls) in school X and Y together?

Select the most appropriate option to fill in blank No. 3

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

How does a Central Bank carry out the process of debt monetization?

Which of the following events occurred first during the Indian National Movement?

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:

What is the scientific name of the 'Touch-Me-Not' plant?

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

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

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

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: 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 politician’s speech was filled with invective against his opponents.

Which planet is the second largest planet in our solar system and also has the biggest and brightest rings around it?

Which of the following classification bases of industry applies to the products- cotton, jute, wool, silk textile, rubber, tea, sugar, coffee, edible oil?

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

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

Which Indian state ranks highest in sugarcane production?

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.

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?

Farad is the unit of ______.

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 provided, and mark your response on the Answer Sheet accordingl

S1. The deeper the roots, the stronger the tree.
S2. Strong foundations make it easier to withstand challenges.

The second statement:

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

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:

Which of the following options correctly describes the features of arteries?

Which of the following acids is NOT present in grapes?

To study the demands of the reorganisation of states on a linguistic basis, a committee was formed by the Indian National Congress in 1948. The committee was headed by _____.

A number when divided by 112 it leaves 31 as remainder. When the same number is divided by 14 and 16 it leaves remainder as A and B respectively then what is the ratio of A and B?

The ratio of the efficiency of A, B, and C is 2 : 3 : 5 respectively and C alone can complete the work in 12 days. If A and C started the work and after 5 days, B also joined them, then in how many days A, B and C together to complete the remaining work?

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

In accordance to Fleming’s left hand rule used to find the direction of force on a current carrying conductor placed inside a magnetic field, the centre finger and the index finger represent the directions of _______ and ________ . respectively.
 

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

The triad of group 2 metals consists of which of the following elements?

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

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

The social reformer Raja Ram Mohan Roy is associated with which socio-religious reform movement in India?

Read the following statements carefully and answer the question below.

Assertion (A): The Quit India Movement of 1942 was launched during World War II.
Reason (R): The British refused to grant immediate independence to India after the failure of the Cripps Mission.

Match the options from Group A with Group B regarding Auto Fill Options in MS-Excel sheets.

Group A Group B

1. Copy Cells. I. Copy only the cell formatting

2. Fill Formatting Only II. Copy the entire contents of the cell, including the formulas and the formatting

3. Fill Without Formatting III. Copy the contents of the cell, including the formulas but not the formatting

If 2x + 1/3x = 14 then find the value of (4x² + 1/9x²).

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).

Misappropriation

S1- The firm discussed the alleged misappropriation of trade secrets on its company website.

S2- He was charged with embezzlement and misappropriation of union funds.

S3- There was an alleged financial misappropriation.

The sale of government assets is also known as:

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

Use adversative conjunction to complete the sentence. 

Rohit passed ________________ his brother failed. 

Rakesh gives 15% of his salary to his daughter. He then gives 20% of the remaining salary to his son. Of the remaining salary, he gives 37.5% to his wife and keeps the rest of the salary. If the difference between the amounts that his son and daughter got is Rs 15270, find the money that Rakesh left with himself.

In which year did India first compete in the Olympic Games?

A sentence has been given with a blank to be filled with an appropriate option. Choose the correct alternative.

Ram is______ like the kings before him.

The average weight of a certain student in a class is 48.5 kg. Ten of them, whose average weight is 45 kg, leave the class, and eight students, whose average weight is 46.5 kg, join the class. Thereby, the new average increases by 0.475 kg. The number of students who were there originally was:

Directions: In the following items, a pair of words is provided. Select the option that most accurately describes the meaning of both words and mark your response on the Answer Sheet accordingly.

Peroration and Prolixity

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