AMU Class-11 Commerce Entrance PYQs- 2024

If x and y be integers such that 3x + 2y = 1, then consider the following x and y statements regarding:

1. x and y can be found using the Euclidean algorithm.
2. x and y are positive.
3. x and y are uniquely determined.
Of these statements:

\(\sqrt{x}\space ×\space\sqrt{y}=\sqrt{xy}\) is true only when:

Which one of the following statements is correct?

Let n be a positive integer. If 1/n has a terminating decimal expansion, then which one of the following is true?

Read the statements given below:

I. If the polynomial p(x) = 2x³ − kx² + 5x + 2 is exactly divisible by x − 2, then k = −6.
II. If the polynomial q(x) = x³ − 7x + k when divided by (x − 1) leaves the remainder 2,
then k = 6.
III. If two zeros of the polynomial f(x) = x³ − 5x² − 16x + 80 are equal in magnitude and
opposite in sign, then the third zero is 5.
Which of the above statements is not true?

Consider the following statements:

I. If the roots of the equation ax² + bx + c = 0 are negative reciprocal of each other, then a + c = 0.
II. A quadratic equation can have at the most two roots.
III. If α, β are roots of x² − 22x + 105 = 0, then α + β = 22 and α − β = 8.
Of these statements:

In an entrance test, a student scores 3 marks for every correct answer and loses 1 mark for every wrong answer. A student attempts all the 100 questions and scores 160 marks. The number of questions he answered correctly was:

A straight line (x/a) − (y/b) = 1 passes through the point (8, 6) and cuts off a triangle of area 12 units from the axes of coordinates. The equation of the straight line is/are:

The length and breadth of a room are 1517 cm and 902 cm respectively. How many minimum square shape tiles are needed to cover the area of the floor of this room?

If the areas of three adjacent sides of a cuboid are x, y, z respectively, then the volume of the cuboid is:

The height of a cone is 30 cm. A small cone is cut off at the top by a plane parallel to the base. If its volume is 1/27ᵗʰ of the volume of the given cone, at what height above the base is the section made?

Two dice are rolled simultaneously. Find the probability of getting the sum as a prime number:

The mean of 50 observations was 36. It was found later that an observation 48 was wrongly taken as 23. The corrected (new) mean is:

The median of the following observations arranged in ascending order is 13. Find the value of x:
3, 7, 8, x + 1, x + 3, 12, 15, 18

For what value of k does the system of equations x + 2y = 3 and 5x + ky = −7 have no solution?

On the same side of a tower 300 m high, the angles of depression of two objects are 45° and 60° respectively. The distance between the objects is (√3 = 1.73):

A person wants to leave station B. There are three routes from station B to A and four routes from B to C. In how many ways can he leave the station B?

The sum of all 2-digit numbers divisible by 5 is:

What is the greatest possible sum of the arithmetic progression 17, 14, 11,…?

If sin θ + cos θ = m and sin³ θ + cos³ θ = n, then 3m − 2n = ?

Who has been named as India’s new Sherpa for the G-20?

Construction of India’s first underwater metro tunnel is being done in which state?

Davis Cup is associated with:

Which of the two following priests played a major role in Rigvedic times?

In which field is the Booker Prize given?

Philanthropic means:

Fill in the blank with the most appropriate option: “It was very hot yesterday, but today it’s _______.”

Fill in the blank with the most appropriate option: “Don’t phone at 8:30. I’ll _______ the film on television.”

Choose the appropriate modal verb to complete the sentence: “We haven’t got much time. We _______ hurry.”

Fill in the blank with the most appropriate option: “The road _______ the two villages is very narrow.”

The Battle of Khanwa was fought in the year:

Which of the following books was written by Firoz Shah Tughlaq?

Sher Shah Suri was born in the city of:

Sufism was introduced in India by:

The Bhakti movement was first organized in India by:

Atala Masjid was built in the year:

Which dynasty was started by Qutubuddin Aibak?

Sir Syed Ahmad Khan was transferred from Ghazipur to Aligarh in the year:

‘Gulshan School’ was started by Sir Syed Ahmad Khan in the year:

Maulana Hasrat Mohani’s actual name was:

Which of the following words does not find a place in the Preamble of the Indian Constitution?

How many seats are reserved for Scheduled Castes (SC) in Lok Sabha?

In which year was the eligibility age for the right to vote reduced from 21 to 18?

Who described the Prime Minister as “The steersman of steering wheel of the ship of the State”?

What is ‘Guillotine’?

Who among the following Indian leaders advocated the idea of party-less democracy?

Negative liberty means:

Who is known as the father of local self-government in India?

Which state in India has the maximum number of MLAs in its Legislative Assembly?

Which Constitutional Amendment changed the term ‘Internal Disturbance’ to ‘Armed Rebellion’ in National Emergency under Article 352 of the Indian Constitution?

For Lok Sabha Election, India is divided into the number of constituencies:

Who gave the historic Objective Resolution to the Constituent Assembly on 13ᵗʰ December, 1946?

Which of the following are not the functions of the Election Commission?

Fundamental Rights are provided in ________ of the Constitution.

Sarkaria Commission is related to:

The activity that is not carried out in Palampur:

Total income of the country divided by its total population refers to:

National Consumer Day is observed since COPRA was enacted on:

Which of the following body adopted guidelines and when for the protection of consumers?

Green Revolution in India especially helped the increase of the production of:

Food security means accessibility and ______ of food to all people at all times:

Which of the following activities provide more employment in India?

Which of the following organisations supervises the activities of formal sector credit in India?

Which of the following is a form of money?

The aim of WTO is:

Tax on imports is an example of:

Human Capital refers to:

Secondary sector includes:

Poverty does not refer to:

Which of the following conducts surveys to estimate poverty in India?

The famous novel Indulekha, published in 1889, was the first modern novel in:

The Compulsory Elementary Education Act was passed in England to keep children out of industrial work in the year:

On 6ᵗʰ April 1930, Gandhiji launched the Civil Disobedience Movement through the Dandi March to break which law?

Gandhiji organized a Satyagraha movement against the oppressive plantation system in Champaran in the year:

The Socialist Republic of Vietnam was proclaimed in the year:

The idea of Montesquieu in his work ‘The Spirit of the Laws’ was based on:

Who wanted the government to encourage cooperatives and replace capitalist enterprises in France?

Who was the German economist who aimed for economic recovery on the basis of full production and full employment through a state-funded work-creation program?

Who was mostly affected by the changes in forest management during the colonial government and tried to resist through organized movements?

France was declared a Republic on:

The Colonial Government in India passed the Criminal Tribes Act in the year:

The myth of ‘Captain Swing’ was prevalent in:

Which famous battle of India was fought in the year 1757?

Brahmo Samaj women wearing a particular style of saree during the late nineteenth century were known for:

In which year did Gandhiji go to England to attend the Second Round Table Conference?

The characteristics of Mangrove forests are:

Which of the following statements is correct?

Which one of the following is a ferrous metal?

The magnitude of population growth refers to:

The part of the Himalayas lying between Sutlej and Kali rivers is known as:

Which one of the following rivers is not a tributary of the river Krishna?

Which type of soil covers the plateaus of Maharashtra?

The famous ‘Chipko Movement’ is related to:

National Highway-24 connects:

The Peninsular Plateau is composed by:

Sardar Sarovar Dam is built on which river?

Earth Summit at Rio de Janeiro, Brazil, was held in the year

Gir National Park is located in the state of

Which one of the following is not a crop?

The seasonal reversal of wind is the typical characteristic of: