AMU Diploma in Engineering Entrance PYQs- 2019

A ball is thrown vertically upwards with a velocity of 20 m/s from the top of a multi-storey building. The height of the point from where the ball is thrown is 25 m from the ground. How high will the ball rise from the ground? (g=10 m/s²)

An athlete completes one round of a circular track of diameter 200 m in 40 seconds. What will be the distance covered at the end of 2 minutes 20 seconds.

A vehicle starting from rest attains a speed of 77 km/h after covering a distance of 100 m. If the mass of the vehicle is 500 kg, the force exerted by the engine is

A ball of mass 0.1 kg strikes a wall normally with a speed of 30 m/s and rebounds with a speed of 20 m/s. The magnitude of the change in momentum of the ball is

The gravitational force of attraction between a stone weighing 2 kg and the earth weighing 6×10²⁴ kg is 19.6 Newtons. What will be the acceleration produced in the earth?

Two objects A and B are immersed in water. The masses of the objects are 200 kg and 100 kg respectively and relative densities are ρᴀ and ρᏼ. If volumes of both the objects are 2 m³, then the ratio of relative densities of B, ρᏼ and A, ρᴀ are

What is the work to be done to increase the velocity of a car from 36 km/h to 72 km/h, if the mass of car is 1500 kg?

A certain household has consumed 250 units of energy during a month. How many energy is this in joules?

The motor of a pump lifts 30 kg of water per minute to a height of 6 m. The power of motor is (g=10 m/s²)

A man stands in between two walls and bursts a balloon. He hears two successive echoes after 0.5 seconds and 2.5 seconds. The distance between the walls when the speed of sound is 332 m/s, is

How many 176 Ω resistors (in parallel) are required to carry 5 A on a 220 V line?

A man uses a 100 W bulb 8 hours a day and an electric heater of 300 W for 4 hours a day. The total cost for the month of November at the rate of rupees 4 per unit will be

Which one of the following statements is not true?

Which one of the following is not a source of biomass energy?

An object is placed at the centre of curvature of a convex mirror. The distance between its image and the pole is

A person needs a lens of power −5.0 dioptres for correcting his distant vision. What is the focal length of the lens required for correcting distant vision?

The refractive index of glass is \(\frac{3}{2}\) and water has a refractive index \(\frac{4}{3}\). If the speed of light in glass is 2×10⁸ m/s, the speed of light in water in m/s is

The presence of the double layer in colloids accounts for

The internal energy of the molecule is its

Which is not true about the solid state?

Hydrochloric acid is sold commercially as 12.0 M solution. How many moles of HCl are in 300.0 mL of 12.0 M solution?

Copper metal has two naturally occurring isotopes: Copper–63 (69.17%; isotopic mass = 62.94 amu) and copper–65 (30.83%; isotopic mass = 64.93 amu). What is the atomic mass of copper?

The correct order of atomic radius is

An element has two isotopes X³⁵ and X³⁷ found in ratio of 3 : 1 in nature. The average mass of the element is

The compound shows an addition reaction

Compound showing maximum melting point is

Correct order of electrical conductivity

Tomato contains

Al₂O₃ reacts with NaOH producing

The substance which can produce CO₂ gas with baking soda solution is

Which is most acidic?

Which is an olfactory indicator?

What is ‘X’?

The molecular formula of unsaturated cyclic hydrocarbon is

Oxygenated blood from lungs goes directly to the

The absorption of water due to the expenditure of energy is called

The growth-inhibiting hormone in plants is

Cholera is spread by

Cold-blooded animals are

The evolved oxygen during photosynthesis comes from the breakdown of

The structure produced along the leaf margin of bryophyllum and after falling on soil develops into a new plant is

In 1987, the United Nations Environment Program (UNEP) succeeded in forging an agreement to freeze CFC production at

Water harvesting is an age-old practice in India, as in Rajasthan it was through

Blood pressure and salivation are controlled by

Cells arise from pre-existing cells was proposed by

The phenotypic ratio in Mendelian dihybrid cross is

Which of the following is the correct sequence of classification?

In plants water is conducted through

Which of the following is the function of Testes?

Flame cells are excretory organ of

It is dark. You have 10 grey socks and 10 blue socks you want to put into pairs. All socks are the same except for their colour. How many minimum socks would you need to take with you to ensure you had at least a pir?

A number when divided by 121 leaves 37 as the remainder. What will be the remainder when the same number is divided by 11?

Decimal representation of a rational number cannot be

Solving for x
\(x = \frac{1}{\,2 – \frac{1}{\,2 – \frac{1}{2 – x}\,}\,}, \quad x \ne 2\)

If Aˣ = Bʸ = Cᶻ and A² = BC then z equals

(a) \(\frac{xy}{2y−x}\)

(b) \(\frac{2xy}{y−x}\)

(c) \(\frac{xy}{2(y−x)}\)

(d) \(\frac{xy}{2(x−y)}\)

Waheeda’s granddaughter is about as many days as her son in weeks, and her granddaughter is as many months as she is in years. Her granddaughter, her son and Waheeda together are 120 years old. The age of Waheeda in years is

If 2x+y ≤ 6, x<0, then

A taxi driver charges Rs. 10.50 per km flat rate in addition to Rs. 20. Ajay has no more than Rs. 220 to spend on the ride. Without exceeding his budget, Ajay can travel

The condition which must be satisfied by the coefficients of the polynomial f(𝑥) = 𝑥³- px²+qx−r, when the sum of its two zeros is

If one of the zeros of the polynomial (a²+9)x²+13x+6a is reciprocal of the other, then the value of a is

If pᵗʰ term of an A.P. is q and qᵗʰ term p, then its nᵗʰ term is

The points (3a, 0), (0, 3b) and (a, 2b)

If the coordinate of two points A and B are (3, 4) and (5, −2) respectively. Find the coordinates of any points P, if PA = PB, and the area of ∆PAB = 10

∆ABC is a right-angled triangle, in which angle C = 90° and CD ⊥ AB. If BC = a, CA = b, AB = c and CD = p, then 1/a² + 1/b² =?

The number of possible isosceles triangles (excluding the case of an equilateral triangle) with integer lengths of its sides such that the sum of any two sides is 10, are

Two adjacent sides of a parallelogram are 30 m and 4 m and the diagonal joining the endpoints of these sides is 40 m. The area of the parallelogram is

In the given figure, O is the centre of a circle, PQL and PRM are the tangents at the points Q and R respectively and S is a point on the circle such that angle SQL =50° and angle SRM = 60°. Then angle QSR = ?

A tangent PQ at a point P of a circle of radius 5 cm meets a line through the centre O at a point Q so that OQ = 12 cm. Length of PQ is

In the given figure, a circle inscribed in a triangle ABC, touches the sides AB, BC and CA at points D, E and F respectively. If AB = 14 cm, BC = 8 cm and CA = 12 cm. The lengths of AD, BE and CF respectively are

The areas of two similar triangles are 25 cm² and 36 cm². If the median of the smaller triangle is 10 cm, then the median of the larger triangle is

If four times the sum of the areas of two circular faces of a cylinder of height 8 cm is equal to twice the curve surface area, then the diameter of the cylinder is

A vessel is in the form of a hollow hemisphere mounted by a hollow cylinder. The diameter of the hemisphere is 14 cm and the total height of the vessel is 13 cm. Find the inner surface area of the vessel

A cone, a hemisphere and a cylinder have equal bases and have the same height. The ratio of their volume is

If 90° <Ɵ <180°, and sinƟ = \(\frac{3}{5}\) , then tanƟ is equal to

(a) \(\frac{−3}{4}\)

(b)  \(\frac{3}{4}\)

(c)  \(\frac{3}{2}\)

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

If secƟ + tanƟ = m, then the value of \(\frac{m^{2}−1}{m^{2}+2}\) is

The angles of depression of the top and the bottom of a single-storeyed building from the top of a multi-storeyed building are 30° and 45° respectively. If the height of the multi-storeyed building is \(12+4\sqrt{3}\) m, then the height of the single-storeyed building is

If the mean of n observation af₁, af₂, af₃, ……, afₙ is aF then

A two-digit number is written at random (the digit at 10s place is non–zero). The probability that the number will be even but smaller than 40 is

In a class in which all students practice at least one sport, 60% of students play soccer or basketball and 10% practice both sports. If there are also 60% students that do not play soccer, the probability that a student chosen at random from the class, play soccer only, is

Which one of the following is least if mean value of X, X=14

The famous Mehrangarh Fort is situated at which place?

Dr. Linus Carl Pauling is the only person to have won two Nobel Prizes individually for

The receptor of sweet taste is located at which part of the human tongue?

Which of the following is not correctly matched?
(CAPITALS)                (COUNTRIES)
(a) Darfur              –     South Sudan
(b) Dili                   –     East Timor
(c) Dakar               –     Senegal
(d) Brussels           –     Denmark

In 1972 the world’s first nationwide green party was founded in

India’s first Insect Museum has been opened in which State?

The Way of removing pollutants or toxic waste from environment with the help of living organisms is called?

The Red Cross, a worldwide humanitarian aid provider, has its head office in

The theory of the ‘economic drain of India’ during British rule was propounded by?

Token currency in India was introduced by

The battle of ‘ Ghazwa Ahzab’ took place in

Islam ordains faith in

The first school was founded by Sir Syed Ahmad Khan in

Prophet Yahya was the son of

In Islamic history, the ‘most authentic book after the Quran’ is known as

The First Battle of Panipat was fought between the forces of Babur and Ibrahim Lodhi in the year

Which Mughal Emperor shifted his capital from Agra to Delhi?

Muslims of Malabar are called

To combat the British, Tipu Sultan sought the help of

Aurangzeb was the disciple of which Sufi Saint?