AMU Diploma in Engineering Entrance PYQs- 2022

The displacement-time graph for two particles A and B are, straight lines inclined at 30° with time axis and at 30° to displacement axis, respectively. The ratio of velocities of the two particles is:

A particle is moving in a circular path of radius r. The displacement after quarter a circle would be:

Two balls of mass 50 g and 20 g travelling towards each other with speeds 8 m/s and 5 m/s respectively, collides and starts moving opposite to each other with the common speed. The distance between the balls after 3 seconds will be:

An object of mass 100 kg is accelerated uniformly from a velocity of 5 m/s to 8 m/s in 6 seconds. The magnitude of the force exerted on the object is:

A geostationary satellite is orbiting the earth at a height 5R above the surface of earth, where ‘R’ is radius of earth. The time period of another satellite at a height of 2R from the surface of earth will be ____________.

Average density of the earth in terms of g, G and R is given by:
Where:
g = Acceleration due to gravity
G = Gravitational constant
R = Earth’s radius

(a) \(\frac{3G}{4πgR}\)

(b) \(\frac{3g}{4πGR}\)

(c) \(\frac{3RG}{4πg}\)

(d) \(\frac{3gR}{4πG}\)

The difference in final and initial kinetic energies for a particle of mass 20 g in travelling a distance of 120 m with a constant acceleration of 4.1 m/s² is:

A body weighs 32 N in water and its relative density is 3.5 . The weight of the body in air is:

The sound waves produced by a sitar are:

A piece of wire of resistance R is cut into five equal parts. These parts are then connected in parallel. If the equivalent resistance of this combination is R′, then the ratio is \(\frac{R}{R′}\) is

If an electric iron of 1000 W is used for 30 minutes every day, electric energy consumed in the month of April would be:

The magnetic field inside a long straight solenoid carrying current:

An induced emf is produced when a magnet is plunged into a coil. The magnitude of induced emf does not depend on:

The twinkling of stars is due to:

A concave lens of focal length 25 cm and a convex lens of focal length 20 cm are placed in contact with each other. The power of the combination is:

A person cannot see distinctly any object placed beyond 50 cm from his eye. The power of the lens which will enable him to see distant star is:

Wind power of a wind mill is:

Using following reaction arrange the elements A, B, C and D in order of their redox activity:
A + B⁺ → A⁺ + B; C⁺ + D → No reaction
B + D⁺ → B⁺ + D; B + C⁺ → B⁺ + C;

Sodium metal is highly reactive to the moisture (water):

How many nodes are present in 2s orbita:

When the ferrous sulphate is heated, the green colour of the crystal is changed due to:

Which of the following is true for fullerenes?

Oxidation number of the underlined element in the following compounds are respectively

IUPAC name of the following molecule is:

Tomato is a natural source of:

What is ‘X’ in below reaction:

Which class of compounds are used in making perfumes and as flavouring agents?

The following reaction is an example of

Treatment of cancer is done using:

Soda acid fire extinguishers use:

pH of Ammonium Chloride (NH₄CI) solution in water will be:

Formula of Magnesium Nitride is:

Burning of candle involves:

Group of elements showing both metallic and non-metallic properties:

Large-scale deforestation decreases:

Sardar Sarovar Dam was built on the river Narmada in the year:

The vegetative propagation where a branch is defoliated and pegged down in the ground is called:

Bryophyllum is propagated vegetatively by means of:

Palaeontology is the study of:

Out of the total water on the Earth, fresh water reserves constitutes approximates:

Which of the following relates to multipurpose protected areas meant for conservation of wildlife?

World Water Day is celebrated on:

The term Protoplasm was coined by:

Lenticels are present on:

The whole process of anaerobic respiration takes place in:

Which plant hormone promotes dormancy in seeds and buds?

Female gametophyte is also known as:

Anemophilous flowers are:

The structural unit employed for vegetative propagation is called:

Which state has lndira Gandhi Canal for irrigation?

Sania wants to express 1000 in the form of a sum of positive integers involving only 8s. How many minimum 8s she requires to do so?

The largest positive integer which divides 434 and 539 leaving remainders 9 and 12 respectively is:

If (−1)ⁿ + (-1)⁸ⁿ = 0, then n is:

Divya’s swimming speed in still water to the speed of the river is 7 : 1. She swims 4.2 km up the river in just 14 min. Time taken by Divya to swim 18.4 km down the river will be:

The value of k so that the following pair of equations have no solution:
(3k + 1) x + 3y − 2 = 0
(k² + 1) x + (k − 2) y − 5 = 0

If the polynomial f(x) = x⁴ − 6x³ + 16x² − 25x + 10 is divided by another polynomial x² − 2x + k and the remainder comes out to be x + a then the value of k and a are respectively:

If α, β are roots of the equation x² − lx + m = 0, then the value of \(\frac{1}{α²}+\frac{1}{β²}\) in terms of l and m is:

(a) \(\frac{l²−2m}{m²}\)

(b) \(\frac{2l²−m}{m²}\)

(c) \(\frac{2m+l²}{m²}\)

(d) \(\frac{2l²+m}{m²}\)

If α, β are the zeroes of a quadratic polynomial f(x) = ax² + bx + c, then
\(\frac{α²}{β}+\frac{β²}{α}=\)?

(a) \(\frac{3abc}{a+b}\)

(b) \(\frac{3abc−a³}{bc}\)

(c) \(\frac{3abc−b³}{a²c}\)

(d) \(\frac{3abc−c³}{abc}\)

The roots of the quadratic equation
\(\frac{1}{a+b+x}=\frac{1}{a}+\frac{1}{b}+\frac{1}{x};\space a+b\space ≠\space 0\) are:

If the squared difference of the of zeroes of the quadratic polynomial f(x) = x²+px+45 is equal to 144, the value of p is:

An A.P. consists of 37 terms. The sum of the three middle terms is 225 and the sum of the last three terms is 429. Then A.P. is:

If the points (2, 1) and (1, −2) are equidistant from the point (x, y), then:

If the points P(6, 1), Q(8, 2), R(9, 4) and S(x, 3) are the vertices of a parallelogram, taken in order, then the value of x is:

A point P(x, y) is such that PA = PB, where A (a+b, b−a) and B(a−b, a+b), then:

ln ∆ABC, right−angled at C, if cotA= \(\sqrt{3}\), the value of sinA CosB + cosA sinB will be:

ln triangle ABC, if D is a point on the side BC such that ∠ADC = ∠BAC, then CB.CD is equal to:

The circumcentre of the triangle ABC is O. Then ∠OBC + ∠BAC is

Area of a rectangle gets reduced by 14 square units, if its length is reduced by 4 units and breadth is increased by 2 units. If we increase the length by 6 units and the breadth by 1 unit, the area increases by 91 square units. The area of the rectangle is:

ABCD is a parallelogram. Points P and Q on BC trisects BC in three equal parts. Then area of △APQ is:

(a) \(\frac{1}{4}\) area (ABCD)

(b) \(\frac{1}{5}\) area (ABCD)

(c) \(\frac{1}{6}\) area (ABCD)

(d) \(\frac{1}{3}\) area (ABCD)

ln the given figure, two circular flower beds have been shown on two sides of a square lawn ABCD of side 56 m. If the centre of each circular flower bed is the point of intersection O of the diagonals of the square lawn, find the sum of the areas of the lawn and the flower beds:

The surface areas of six faces of a rectangular solid are 4, 4, 8, 8, 18 and 18 cm². The volume of the solid is:

A right cylindrical vessel is full with water. How many right cones having same diameter and height as of right cylinder will be needed to store that water?

If Cos 9α = sin α and 9α < 90°, then tan 5α = ?

(a) \(\frac{1}{\sqrt{3}}\)

(b) \(\sqrt{3}\)

(c) 1

(d) 0

If 𝑥 𝐶𝑜𝑠 𝜃 – 𝑦 𝑆𝑖𝑛 𝜃 = \(\sqrt{x²+y²}\) and \(\frac{1}{a²}\) 𝐶𝑜𝑠² 𝜃 + \(\frac{1}{b²}\) 𝑆𝑖𝑛² 𝜃 = \(\frac{1}{x²+y²}\) then which relationship among the following is correct?

(a) \(\frac{x²}{b²}−\frac{y²}{a²}\space=\space1\)

(b) \(\frac{x²}{a²}+\frac{y²}{b²}\space=\space1\)

(c) \(\frac{x²}{b²}+\frac{y²}{a²}\space=\space1\)

(d) \(\frac{x²}{a²}−\frac{y²}{b²}\space=\space1\)

Due to sun, a 6 feet man casts a shadow of 4,feet, whereas a pole next to the man casts a shadow of 36 feet. What is the height of the pole?

A 1.5 m tall boy is standing at some distance from a 30 m tall building. The angle of elevation from his eyes to the top of the building increases from 30° to 60° as he walks towards the building. Then the distance he walked towards the building is:

The mean of a set of observations x₁, x₂, x₃, ……, xₙ is 𝑥̅. If each observation is divided by ‘α‘ and then increased by ‘𝑎’, then the new mean is:

(a) \(\frac{\bar{x}}{α}−a\)

(b) \(\bar{x}+\frac{a}{α}\)

(c) \(\frac{\bar{x}}{α}+a\)

(d) \(α\bar{x} − a\)

The median of set of 9 distinct observations is 20.5. If each of the largest 4 observations of the set is increased by 2, then the median of the new set:

If an unbiased die is thrown twice, then the probability of 3 will not come up either time is:

If sinθ + cosθ = a and sin³θ + cos³θ = b, then the value of 3a – 2b is:

The autobiography of Subhash Chandra Bose is:

An island of the Andaman Islands, now named Netaji Subhash Chandra Bose Island, was formerly known as:

Larry Tesler, who died in February 2020 was the inventor of computer command:

Who is the author of Ramacharitamanasa?

Which British Governor General abolished Sati pratha?

‘Nagarhole National Park’ is located in:

The Mughal emperor, Humayun died due to:

‘Kuchipudi’ dance originated in:

The I.M.F. and World Bank are also known as:

‘Charminar Trophy’ is associated with:

The angel entrusted with the task of blowing the trumpet (sur) on the day of judgement is:

After Hijrah of Madina in whose house did the Prophet reside first in Madina?

Which of the following books is not part of the ‘Sihah-i-Sittah’?

Hyder Ali took the control of Mysore in the year:

The task of placing diacritical marks on the Quran was undertaken by:

The last Quranic verse was revealed to the Prophet in:

Khwaja Moinuddin Chishti was born in the year:

Tipu Sultan was born in the year:

The famous Qutub Minar is said to be built by Qutubuddin Aibak but the last two storeys were completed by:

Tafsir’ ‘al-Quran is a commentary of the Quran written by: