AMU Diploma in Engineering Entrance PYQs- 2025

The motion of an ant moving uniformly on a thin string is represented by which of the given velocity (v) – time (t) diagram?

The trajectory of a stone thrown upward is shown in the figure. When it is reached to P which of the following has the greatest value at P?

The ratios of potential energies on moon at heights 4 m and 6 m of an object of mass 5 kg is:

A ball of mass m₁ moving at speed v hits another ball of mass m₂ at rest and stops. If the momentum remains conserved, the speed of the second ball after collision is found to be:

(a) \(\frac{m₁}{m₂}\space v\)

(b) \(\frac{m₂}{m₁}\space v\)

(c) m₂ v
(d) m₁ v

Gravitational force on the surface of the moon is only 1/6 as strong as gravitational force on the earth. The weight in newtons of a 10 kg object on the moon is:

A player kicks a ball of mass 250 g at the centre of a field. The ball leaves his foot with a speed of 20 m/s. The work done by the player on the ball is:

A raft of wood (density 0.6 × 10³ kg/m³) of mass 120 kg floats in water. The weight that can be put on the raft to make it just sink will be:

A dog barks at a frequency of 5 kHz. If the speed of the sound is 330 m/s and the obstacle is located at 10 m away from the dog, the echo will be heard after:

An electric kettle consumes 1 kW of electric power when operated at 220 V. The rating of the fuse-wire required for the kettle will be:

The equivalent resistance between A and B in the following circuit is:

A dynamo:

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

The physical process through which a rainbow appears is:

A doctor has prescribed a corrective lens of power +1.5 D.
The focal length of the lens will be:

The laws of reflection are true for:

In solar cell which of the following type of material is used?

The major cause of environmental pollution is the use of:

The liquid mixture which distill with a change in composition are called:

The presence of the double layer in colloids accounts for:

The ratio of radii of second and first orbit of hydrogen atom according to Bohr’s model is:

Which of the following has minimum flocculating power?

A crystalline solid does not have one of the following properties, it is:

The unit in which wave number is measured:

Ethanol when heated with concentrated sulphuric acid results in the formation of:

Identify ‘Z’ in the following reaction:
Ca(OH)₂ + Cl₂ → Z + H₂O

Which of the following is an unsaturated hydrocarbon?

Identify ‘X’ in the following reaction:
R₂C = CR₂ \(\frac{X}{+H₂}\) → R₂ HC − CHR₂

Which substance has the lowest pH?

The number of unpaired electrons in chromium atom is:

The pair of elements that are kept immersed in kerosene oil is:

The metal that possess most ductility and most malleability is:

The components of the colloidal solution of shaving cream are:

Which among the following pair of elements are not metalloid?

The correct pair of melting point (M.P.) arrangements of the ionic compounds is:

Which organism causes Acne?

How many elements form the Phloem?

Cells of skeletal tissue are:

Right auricle in human heart:

Transport of soluble products of photosynthesis is called:

Terminal part of pistil of a flower is called:

Which organ part acts as gland?

Knightia is a:

Ancient water harvesting structure of Uttar Pradesh was called:

Correct sequence of hierarchy of classification is:

Five Kingdom Classification was proposed by:

Which hormone promote cell division in plants?

Growth hormone is secreted by the:

Which organelle helps in manufacture of fat molecule?

Colourless plastids are:

Which cell organelles contain their own genetic material?

How many times would the digit 6 be used in numbering a book of 639 pages?

If a clock strikes once at 12 A.M., twice at 1 A.M., thrice at 2 A.M., and so on, how many times will the clock be struck in the course of 3 days?

The graph of ax² + bx + c with roots α and β is shown below. Then which of the following is true?

Two fair dices are thrown. Given that the sum of the dice is less than or equal to 4, the probability that only one dice shows 2 is:

A polynomial ax³ + bx² + cx + d intersects the x-axis at 1 and −1, and y-axis at 2. The value of b is:

The unit digit of (52)⁹⁷×(43)⁷² is:

Length of the chord of a circle is 16 cm and it is 15 cm away from the centre. Then the length of the chord of the same circle which is 8 cm away from the centre, is:

The perimeter of a square which is inscribed in a semi-circle of radius 10 cm is:

A number 15 B is divisible by 6. Which of these will be true about the positive integer B?

The area of the triangle inscribed in a circle circumscribed by a square made by joining the midpoints of the adjacent sides of a square of side x is:

(a) \(\frac{3x²}{16}\)

(b) \(\frac{3\sqrt{3}x²}{32}\)

(c) \(\frac{3x²}{4}\left( π\space −\space \frac{1}{2} \right)\)

(d) \(\frac{3\sqrt{3}x²}{8}\)

XYZ is a 3 digit number such that when we calculate the difference between the two 3 digit numbers XYZ − YXZ the difference is exactly 90. How many possible values exist for the digits X and Y?

What is the greatest number of 4 digits that when divided by any of the numbers 6, 9, 12, 17 leaves a remainder of 1?

Which one is the greatest among the following?
\(\left( \sqrt{19}\space−\space\sqrt{17} \right),\left( \sqrt{13}\space−\space\sqrt{11} \right),\left( \sqrt{7}\space−\space\sqrt{5} \right)\left( \sqrt{5}\space−\space\sqrt{3} \right)\)

The price of a diamond is proportional to the square of its weight. The diamond is broken down into 4 pieces in such a manner that, their weights are in the ratio 1 : 2 : 3 : 4. If the broken diamond gives loss of rupees 1,40,000, then what was the original price of diamond?

The value of 2sec²θ − sec⁴θ − 2cosec²θ + cosec⁴θ is:

A right circular cone has a height of 6 cm. If two cuts, parallel to the base, are made at height of 1 cm and 3 cm from the base, what will be the ratio of the volumes of the three parts from the top to the bottom?

A number is increased by 20%. To get back the original number, the increased number is to be reduced by:

If three sides of a triangle are x, y and z, then which one is incorrect?

△ABC is similar to △DEF. If area of △ABC is 9 sq cm and area of △DEF is 16 sq cm and BC = 2.1 cm, then length of EF will be:

A bag contains Re. 1, 50 paise, 25 paise coins and the ratio of their value is 30 : 11 : 7 and the total number of coins are 480. Then the number of 50 paise coins is:

The decimal expansion of \(\frac{23457}{2³×5⁴}\) will terminate after how many places of decimals?

The pair of equation x + 2y + 5 = 0 and − 3x − 6y + 1 = 0 have:

The number \(0.\bar{57}\)in the \(\frac{p}{q}\) from q ≠ 0 is:

(a) \(\frac{26}{45}\)

(b) \(\frac{13}{27}\)

(c) \(\frac{57}{99}\)

(d) \(\frac{13}{29}\)

If the zeroes of the quadratic polynomial ax² + bx + c, c ≠ 0 are equal, then:

On dividing x³ + 3x² + 3x + 1 by 5 + 2x we get remainder:

(a) \(\frac{8}{27}\)

(b) \(−\frac{8}{27}\)

(c) \(−\frac{27}{8}\)

(d) \(\frac{27}{8}\)

A can do a work in 18 days, B in 9 days and C in 6 days. A and B start working together and after 2 days C joins them. In how many days will the entire job be completed?

Which average should be used in the following situation?
Sale of Shirts:
16″, 15½”, 15″, 15″, 14″, 13″, 15″

For the following data, relationship between Mean and Median is:
−4, −3, −2, −1, 0, 1, 2, 3

The cost of a table is Rs. 125 more than \(\left( \frac{1}{3} \right)^{rd}\) of the cost of a chair. The statement as a linear equation in two variables can be written as:

The x-coordinate of a point P is twice of its y-coordinate. If P is equidistant from Q(2, −5) and R(–3, 6), then the coordinates of P are:

Which country was host of FIH Men’s Hockey World Cup, 2023?

The Indian Olympic Association (IOA) has submitted a formal expression of interest to host ___ Olympics.

Which among the following is not one of the Triratna of Jainism?

Kalidas Samman is given by the state of:

The book “Playing to Win” is written by:

Complete the following:
“Neither of the two pens ____ costly.”

Choose the correct meaning of the following word:
‘SUBSIDE’

Choose the most appropriate option to complete the following:
“When I was a student, I _____ visit the library frequently.”

Fill in the gap with a suitable preposition:
“The assassin shot the leader ___ a gun.”

Convert the following direct speech to indirect:
He asked me, “Can you see me tomorrow?”

Baba Farid was the disciple of:

The autobiography of Firoz Shah Tughlaq is entitled:

An autobiographical work of Maulana Abul Kalam Azad is:

Golgumbad is situated in the city of:

Khaliq Bari, a work of Hindi poetical verses often attributed to:

Shaykh Ahmad Sirhindi followed:

The honourary title conferred to Sir Syed Ahmad Khan by the last Mughal Monarch:

Asbab-i-Baghawat-i-Hind was authored by:

Khutbat-i-Ahmadiya authored by Sir Syed Ahmad Khan in a response to the work of:

The ambitious architectural project ‘Din Panah’ was commissioned by: