AMU Diploma in Engineering Entrance PYQs- 2021

If A = 2n + 13 and B = n + 7, n is the natural number, then HCF of A and B is:

Which of the following numbers can be represented as non-terminating, repeating decimals?

Which of the following is greatest?

(a) 7²

(b) \(\left( 49 \right)^{\frac{3}{2}}\)

(c) \(\left( \frac{1}{343} \right)^{\frac{−1}{3}}\)

(d) \(\left( 2401 \right)^{\frac{−1}{4}}\)

Simplifying \(\frac{(0.6)^{0} – (0.1)^{-1}}
{\left(\frac{3}{8}\right)^{-1}\left(\frac{3}{2}\right)^{3} + \left(−\frac{1}{3}\right)^{-1}}\) we get:

(a) \(-\frac{1}{2}\)

(b) \(\frac{1}{2}\)

(c) \(-\frac{3}{2}\)

(d) \(\frac{3}{2}\)

The sum of all 3-digit numbers which are multiples of 7 is:

If the sum of first m terms of an A.P. is the same as the sum of its first n terms, then the sum of its (m+n) term is:

The denominator of a fraction is greater than its numerator by 11. If 8 is added to both its numerator and denominator, it becomes 3/4. Then the fraction is”

If a² = by + cz, b² = cz + ax, c² = ax + by;  then the value of \(\frac{x}{a+x}+\frac{y}{b+y}+\frac{z}{c+z}\) will be

The value of k for which the zeroes of polynomial kx² + 4x + 4 are α and β, related to α² + β² = 24 is

(a) \(1,\frac{2}{3}\)

(b) \(1,-\frac{2}{3}\)

(c) \(−1,\frac{2}{3}\)

(d) \(−1,−\frac{2}{3}\)

A train travels 288 km at a uniform speed. If the speed had been 4 km/hr more, it would have taken 1 hour less for the same journey. Then the speed of the train is

If x + 1/x = p, then x⁶ + 1/x⁶ equals to:

How many distinct real roots are possible for the equation  x⁶ – 26x³ – 27 = 0

The three vertices of a parallelogram are (3, 4), (3, 8) and (9, 8). The coordinates of the fourth vertex are:

The vertices of a triangle are (1, a), (2, b) and (c², −3). The condition for which the centroid lies on x-axis is:

A pole has to be erected at a point on the boundary of a circular park of diameter 13 metres in such a way that the differences of its distances from two diametrically opposite fixed gates A and B on the boundary is 7 metres. At what distances from the two gates should the pole be erected?

l₁ and l₂ are two parallel lines as shown in the figure. If AB and BC are the bisectors of ∠CAD and ∠ACE respectively, then ∠ABC =

In the figure shown AB = BC and ∠ABC = 36°, ∠BOC is equal to (if O is the centre of circle)

If the corresponding altitudes of two similar triangles are 6 cm and 9 cm respectively, then the ratio of their areas is:

If G is the centroid of a triangle ABC, then the area of triangle GAB is equal to:

In the given figure, ABC is an equilateral triangle inscribed in a circle of radius 8 cm. Area of the shaded portion will be:

Water flows in a tank of dimensions 150 m × 100 m at the base, through a rectangular pipe whose cross-section is 2 dm × 1.5 dm at the speed of 15 km/hour. At what time, will the water be 3 metres deep?

Vertical and horizontal cross-sections of a right cone are always, respectively:

ABCD is a cyclic quadrilateral in which AC and BD are its diagonals. If ∠DBC = 55° and ∠BAC = 45°, then ∠BCD will be:

The minimum value of 2 sin²θ + 3 cos²θ is

If angles A, B and C of a ∆ABC form an increasing arithmetic progression, then sin B =?

An aeroplane when 3000 m high passes vertically above another aeroplane at an instance when their angles of elevation at the same observation point are 60° and 45°. Then the distance between the aeroplanes are:

In a pack of 90 cards, each card is marked with a different number from 110 to 199. A card was selected at random, the probability that the number on it is not a perfect square is:

The probability of getting exactly one head in tossing a pair of fair coins is:

For the following distribution.
The modal class is :

A grandfather, two fathers and two sons went to the movie theatre together and everyone bought one movie ticket each. How many tickets did they buy in total?

Shooter Alessandra Perilli won first ever Olympic medal for which of the following country in Tokyo 2020 Olympics.

Who among the following has the right to speak in the House of Parliament?

Shanti Swarup Bhatnagar Award is given for one’s contribution to:

The New Education Policy 2020 replaces the previous National Policy on Education which was adopted in the year:

As per 2011 census, the least densely populated state of India is:

Sonal Mansingh is associated with:

Official languages are mentioned in which schedule of the Indian Constitution?

‘SUMAN’ scheme of the government of India is related to:

Token Currency in India was introduced by:

The Urdu journal “Tahzeebul Akhlaq” is also called as:

The ‘Deluge’ (Great Flood) occurred in the period of:

In Islamic history the ninth year of the Hijrah is known as:

Sir Syed Ahmad Khan died on:

The number of books in ‘Sihah Sitta’ are:

The second battle of Panipat was fought in the year:

Ghyasuddin Balban succeeded:

Shrine of Baba Farid Ganj-Shakar is situated at:

Of the following, who was an associate of Sir Syed Ahmad Khan:

Books not authored by Maulana Shibli:

The famous Agra Fort was built by King:

A car of mass 200 kg moves with an initial speed of 72 km/hr. If on applying brakes, a constant deceleration of 0.2 m/s² is produced, the distance covered by the car before it stops would be:

A car starts from rest and moves along the y-direction with a uniform acceleration of 6 m/s² for seconds, and it then continues with a uniform velocity. The total distance covered by the car in 10 seconds since it started from the rest will be:

Abdul, while driving to school, computes the average speed for his trip to be 20 km/h. On his return trip along the same route, there is less traffic and the average speed is 30 km/h. What is the average speed for Abdul’s trip?

If a body of mass 40 kg moving initially with a speed of 30 m/s is subjected to a retarding force of 60 N, the body will stop after:

A hammer of mass 500 grams moving at 50 m/s, strikes a nail. The nail stops the hammer in a very short time of 0.01 s. What is the force of the nail on the hammer?

Acceleration due to gravity on earth is g. If g‘ is acceleration due to gravity at a height ‘h‘ above the surface of earth, then:

A motorbike takes 30 kJ energy to increase its initial kinetic energy to 10 kJ and velocity 18 km per hour in 10 seconds. The final velocity attained by the motorbike will be ____________ km per hour.

A particle is thrown up vertically with a velocity of 50 m/s. The height up to which particle can rise is (g = 10 m/s²)

Wire A is of length 40 cm and radius 2 mm and wire B is of length 25 cm and radius 3 mm respectively. The ratio of the resistances \(\frac{R_{A}}{R_{B}}\) will be:

A stone is dropped from the top of a tower 500 m high into a pond of water at the base of the tower. When is the splash heard at the top? (g = 10 m/s² and speed of sound = 340 m/s)

In a hydro power plant:

A body of mass 5 kg initially at rest, is moved by a horizontal force of 2 N on a smooth horizontal surface. The work done by the force in 10 seconds is:

An electron enters a magnetic field at right angles to it, as shown in the figure below. The direction of force acting on the electron will be

A sound wave has a frequency of 1000 Hz and wavelength 25 cm respectively. Time taken by it to move through 1 km will be:

An electric refrigerator rated 400 W operates 10 hours/day. What is the cost of energy to operate it for 30 days at rate Rs. 3.00 per unit?

An object is placed at 25 cm in front of a concave mirror of focal length 15 cm. At what distance from the mirror should a screen be placed to obtain a sharp image?

Three resistors each of 8Ω are connected to a triangle. The resistance between any two terminals will be:

Propane with molecular formula C₃H₈ has _________ covalent bonds.

The organic compound ‘urea’ in laboratory was first prepared from …..

The formula of butanoic acid is

(a)  CH₃CH₂CH₂CH₂COOH
(b)  HOOCCH₂CH₂CH₂CH₃
(c)  CH₃−CH₂−CH−CH₃
                        |
                       COOH
(d)  CH₃CH₂CH₂COOH

Which of the metal would be displaced from solution of its salt by other three metals?

The number of particles in 46 g of Na atoms is:

Heating of ferrous sulphate (FeS0₄) gives:

Burning of paper is:

Which of the following pair of compounds are homologous?

0.5 gm of a substance is dissolved in 25 gm of a solvent. The percentage amount of the substance in the solution is:

The electronic configuration of the element is:

Which of the following does not promote corrosion?

The molar mass of sulphur molecule is:

XCl₂ is ionic chloride of an element ‘X’. The element ‘X’ belongs to which group and is similar to which element?

Which gas is the major greenhouse gas?

Which one is the ore of Zinc?

Which of the following is not true about the electrorefining of metal?

The following compound

is named as :

Light-dependent stages in photo-synthesis cannot be carried out without:

In a reflex action, the reflex arc, is formed by:

Nuclear membrane and membrane-bound cell organelles are absent in:

Involuntary actions such as blood pressure, salivation in the human brain are controlled by:

Which plant cells allow the transport of water and minerals vertically?

Kingdom Monera includes:

In which cell organelles the complex sugars may be made from simple sugars?

Energy captured by green plants in a terrestrial ecosystem is about:

“Evolution occurs due to natural selection.” This hypothesis was given by:

Which is not an inherited disease?

One of the best solutions to get rid of non-biodegradable wastes is:

Who sacrificed her life along with 363 others in 1731 for the protection of ‘Khejri’ trees?

Hormone that causes wilting of leaves is:

Black rust of wheat is caused by a species of the genus:

Mendel used a number of contrasting characters of garden peas, among them one was:

Water canal system is found in: