Two cars M and N start from two different points in opposite directions at the same time and after crossing each other they complete their journey in 9 and 16 hours respectively, then find the ratio of the speed of car M to the speed of car N.

Select the most appropriate option to fill in blank No. 5

Select the correct option to form a meaningful sentence.

Did (a)/ offences (b)  / know (c)/ you (d)/ that men (e)/ four times (f)/ commit (g)/ driving (h)/ as many (i)/ women do? (j) / as (k)

Which of the following U.S. states have officially declared Diwali as a state holiday?

(a) Pennsylvania
(b) Connecticut
(c) California
(d) Texas

A person distributed his funds among his two sons A, B, and his wife. The ratio of amounts given to A and B is 5 : 6 and the ratio of the amount given to son A and his wife is 2 : 4. If the total amount the person had is Rs. 2310. What is the amount given to his wife?

The inner radius of an inner hemi-spherical vat is 21 cm. This vat is filled with the help of small cylindrical bottles. If the radius of the base of the bottle is 7/2 cm and the height by 12 cm, then how many bottles are required to fill it?

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?

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 total number of isomers of butane and pentane, respectively, are:

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

If 'M' is the smallest perfect square number, which is exactly divisible by 12, 15 and 18, then find the sum of the digits of the quotient obtained, when M is divided by 25.

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

Select the most appropriate option to fill in blank No. 7

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.

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

How many oxygen atoms are present in one molecule of ozone?

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

Consider the following statements about the Newspaper Act, 1908. 

I. The legislation was passed during the tenure of Viceroy, Lord Hardinge. 

II. It empowered Magistrates to seize printing press or other equipment related to newspaper printing.

Which of the given statements is/ are correct?

'Double Circulation' CANNOT be observed in________

What is the primary aim of the Shram Shakti Niti 2025?

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. 9

The ratio of salaries of Manisha and Rishabh is 11 : 13. If the salary of each is increased by Rs. 5000, the new ratio becomes 49 : 57. What is Manisha's salary? 

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

Which country was recently re-elected as the Vice-Chair of the COP10 Bureau for the Asia-Pacific region for the term 2025–2027 at the 10th Session of the Conference of Parties held at UNESCO in Paris?

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.

Principal, Principle

1. The school principal addressed the assembly in the morning.

2. She stood firmly by the principle of honesty throughout her career.

3. The bank charged high principle on the loan.

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

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

Code:
A B C D

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.

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:

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

In which part of the Indian Constitution is Panchayati Raj described?

On which date is the International Day for Disaster Risk Reduction (IDDRR) observed every year?

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?

In the given figure, the ratio of AE : CE = 5 : 3, EB = 30 cm and AB = 75 cm. What is the value of CD?

A bus runs at a speed of 35 km/h in the first 30 minutes, 12 km/h in the next 25 minutes, and 15 km/h in the last 10 minutes. What is the average speed of the bus during the whole journey?

Where was the recently held Global Fintech Fest 2025, where PM Narendra Modi and UK PM Keir Starmer delivered keynote addresses?

Kankar nodules are a feature of which soil horizon and soil type combination?

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

Consider the following statements regarding the Indian National Movement.

1. Romesh Chunder Dutt, a retired ICS officer, published 'The Economic History of India' at the beginning of the 20th Century. In this book he examined in minute detail the entire economic record of colonial rule since 1757.
2. The focal point of the nationalist critique was the drain theory.

Select the correct answer using the codes given below.

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

The pie-chart shows the National Budget Expenditure in the year 2024.

If ₹850 billion were spent in year 2024 for interest on debt and military, then what would have been the total expenditure for that year (in ₹ billion)?

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?

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

What is the meaning of dumping in the context of international trade?

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

If a new device is attached to a computer, such as a printer or scanner, its __________ must be installed before the device can be used.

If {a + (1/a)} = 5, then find the value of: \(a^4+\frac{1}{a^4}\)

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?

What is the correct order of elements according to their valence shell electrons?

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

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.