AMU Class-11 Arts Entrance PYQs- 2021

The value of
(xᵃ/xᵇ)^1/ab  (xᵇ/xᶜ)^1/bc  (xᶜ/xᵃ)^1/ca is:

The value of is

For real numbers a, b and c if a+b+c =7, a²+b²+c² = 35 and a³+b³+c³ = 151 then value of ‘abc‘ is

Which of the following is a quadratic equation?

The pair of linear equations 3x+4y+2p−q = 0 and 4x+3y+q−3r = 0 has its solution (−5, −5), then r is always equal to:

(a) \(\frac{1}{3}\space (q−p)\)

(b) \(\frac{2}{3}\space (q−p)\)

(c) \(\frac{1}{2}\space (3q−2p)\)

(d) \(\frac{3}{2}\space (2q−p)\)

The students of a class are made to stand in rows. If 5 students are extra in a row, there would be 2 rows less. If 5 students are less in a row, there would be 6 rows more. The number of students in the class are:

If the sum of first n even natural numbers is equal to k times the sum of first n odd natural numbers then ‘k’ will be equal to

If the shadow of a tower is 36 m long when the sun’s elevation is 30°, what is the length of the shadow when the sun’s elevation is 60°?

sec θ (1 − sin θ) (sec θ + tan θ) is equal to

If \(\frac{5\space sin\space A\space −\space 3\space cos\space A}{4\space sin\space A\space +\space 3\space cos\space A}\) and 5 cot A=3 then 29x − 16 is equal to:

The distance between the points (a cos 25°, 0) and (0, a cos 65°) is:

The point on the x-axis which is equidistant from (2, −5) and (−2, 9) is:

In a simultaneous throw of three coins, the probability of getting at most two heads is:

An angle θ, of first quadrant can take only integer values such that 30° < θ ≤ 90° . The probability that tan θ ≤ 1 is:

If mode of a series exceeds the median by 8, then mode exceeds its mean by :

The sides of a triangular field are 41 m, 40 m and 9 m. The number of rose beds that can be prepared in the field, if each rose bed, on an average needs 900 cm² space, is:

If V is the volume and S is the surface area of a cuboid of dimensions I, b, h, then reciprocal of volume is :

(a) \(\frac{S}{2}\space (l+b+h)\)

(b)\(\frac{2}{S}\space (\frac{1}{l}+\frac{1}{b}+\frac{1}{h})\)

(c) \(\frac{2S}{(l+b+h)}\)

(d) \(2S(l+b+h)\)

In △PQR, PR > PQ and PS bisects ∠QPR then:

If tangents PA and PB from a point P to a circle with centre O are inclined to each other at an angle of 80°, then POA is equal to:

PQ and RS are respectively the smallest and the longest sides of a quadrilateral PQRS, then which statement is correct?

India’s longest rail-cum-road bridge `Bogibeel’ is located in which of the following states?

There is a water dispute amongst Tamil Nadu, Karnataka, Kerala and Puducherry, it is known as:

The amount of blood in a healthy human body is about:

The orbitals s, p, d and f are related to:

What is the minimum age for becoming the President of India?

The term `Butterfly’ is associated with which sport?

The symbol of peace is represented by which of the following?

Which of the following is the largest gland of the human body?

Tulsidas wrote Ramcharitmanas in…………… language.

Weight of an object put in a satellite orbiting in space around the earth is:

The term ‘Asma-al-Husna’ is ascribed to

The revelation of the Holy Qur’an began with

On which mountain is the cave of Hira (Ghar-i-Hira) located :

The battle of ‘Ohud’ took place in the year:

The garrison town for soldiers, constructed by Alauddin Khilji was named as

Sher Shah Suri ruled Delhi between :

Shah Waliullah died in the year :

Maulana Abul Kalam Azad was born at:

Sir Syed Ahmad Khan wrote a Tafsir of the Quran entitled :

Tipu Sultan, the ‘Tiger of Mysore’ died at:

Who is the author of the book “The Grammar of Politics“?

The term ‘Justice’ has been drawn from the Latin word

According to Marx, the value of goods is determined by:

Which one of the following is not a principle on which democratic form of government is organized?

73ᵗʰ and 74ᵗʰ Constitutional Amendments in India are related to:

A State has:

When was the non-cooperation movement suspended during struggle for India’s freedom?

Freedom of Press is included in which Article of the Indian Constitution?

A judge of High Court of a State can be removed by the President of India only on the resolution adopted by:

The first meeting of the Constituent Assembly of undivided India took place on

Liberty and Equality are:

What is representative democracy?

Which of the following pair of political parties in states is correctly matched?

Under which case the Supreme Court of India held that the Right to Education is a fundamental right?

Who appoints the District Judges in India?

Which of the following forms part of the services sector?

Globalization adversely affects:

Which one of the following prepares Human Development Report?

Which of the following does not fall under consumer right?

Trade Barriers are restrictions imposed on

Which Indian state has the least Infant Mortality Rate?

Which agency has the sole right to print notes on behalf of Government of India?

What is/are included in electronic banking services?

The accepted poverty line in calorie terms (per person per day) in rural areas in India is:

MSP refers to:

According to census, 2011, Literacy rate in India is:

The quality of population depends on:

The organization which measures the Poverty line in India is:

HYV seeds refer to :

What is the main production activity in Palampur village?

Spinning Jenny was a device invented by

Who among the following is known as ‘Frontier Gandhi’?

Puma Swaraj resolution was passed in

Which of the following best explains ‘Utopian Society’?

Which institution is known as ‘Bretton Wood’ twin?

Who said, “Repression is repression; if it is legal, it must be resisted peacefully; but if it is illegal, it must be illegally met.”

Who edited the Bengal Gazette in 1780?

The Muslim reformers within the Russian Empire were known as:

The World’s first Cricket Club was formed in:

Wall Street Exchange crashed in which year?

Which dynasty was ruling France at the time of French Revolution?

Who gave the statement, “In my state the mother is the most important citizen.”

Who among the following two leaders led the Khilafat Movement?

Who is the author of the book ‘Pride and Prejudice’?

A city of China which became the hub of the new Print culture in the late nineteenth century was:

In which of the following states of India Bhadravati steel plant is located?

Gir Forest is the habitat of the:

Which one of the following is a non-conventional source of energy?

Which one of the followings has highest content of Iron?

The Literacy rate in India as per the census of 2011 is:

A form of energy obtained at Manikaran in the state of Himachal Pradesh is one of the following:

The sandalwood trees belong to which category of vegetation in India?

Which one of the following minerals is extracted from the bauxite ore?

Which one of the following Ports in India is Deepest Land-Locked and well protected port?

The name of the world’s largest riverine island formed by the Brahmaputra river is:

The first census of India was held in the year

In which of the following state is the Nanda Devi bio-reserve located?

The Sunderban Delta is formed by the rivers :

The main land of India extends between latitudes

East-West Corridor connects: