AMU Diploma in Engineering Entrance PYQs- 2023

Which of the following is an irrational number?

If A > B and C < 0 which of the following is not true?

12 typist working for 4 hours to type a book in 18 days. In how many days 4 typist will work for 8 hours to type same book?

The sum of a two digit number obtained by reversing its digit is a square number. How many such numbers are there?

The pair of equations x + 2y + 5 = 0 and −3x – 6y + 1 = has:

If x = 3 + √8, then the value of x² + 1/x² is:

Which of the following is a polynomial?

The polynomial
f(x) = (x⁴ – x³ – 11x² – x + a) is divisible by (x + 3), for a =

If the roots of the equation (a – b)x² + (b – c)x + (c – a) = 0 are equal, then find the value of b + c :

If a – b, a and a + b are zeroes of the polynomial x³ – 3x² + x + 1 then the value of (a + b) is:

If \(\frac{a}{b}+\frac{b}{a}\) = 1, then the value of a³ + b³ is :

The 5ᵗʰ term of an AP is 11 and its 9ᵗʰ term is 35. The common difference of the AP is:

Let a be the nᵗʰ term an AP. If
\(\sum_{r=1}^{100} a_{2r} = \alpha \quad \text{and} \quad \sum_{r=1}^{100} a_{2r-1} = \beta,\)
then the common difference of the AP is:

(a) \(\frac{α−β}{100}\)

(b) β − α

(c) \(\frac{α−β}{200}\)

(d) α − β

The value of tan 1⁰, tan 2⁰, tan 3⁰ ………. tan 89⁰ is equal to:

𝑠𝑒𝑐²10 – 𝑐𝑜𝑡²80 + \(\frac{sin15\space cos75+cos15\space sin75}{cosθ\space sin(90−θ)+sinθ\space cos(90−θ)}\) is equal to:

Let A, B, C, D be the angles of a quadrilateral. If they are concyclic, then the value of cos A cos B+ cos C+ cos D is:

In figure AB||CD. If ∠AOC = 30° and ∠OAB = 100° then ∠OCD = ?

A circle with centre O is shown in figure. If ∠BOC = 120°, then ∠CDE will be of:

If AB = 12 cm and BC = 16 cm and AB ⊥ BC, then the radius of the circle passing through A, B and C is:

The area of the sector of a circle of radius 4 cm and of angle 30° is:

The arc of the parallelogram PQRS, shown in figure, is 36 units. The area of quadrilateral PURT if PT||UR and PT ⊥ SR is:

A conical flask is full of water. The flask has base radius ‘r’ and height ‘h’. This water is poured into a cylindrical flask of base radius ‘m‘, height of water in cylindrical flask is :

(a) \(\frac{m}{2h}\)

(b) \(\frac{h}{2}m²\)

(c) \(\frac{2h}{m}\)

(d) \(\frac{r²h}{3m²}\)

The height of the cone is 30 cm. A small cone is cut off at the top by a plane parallel to its base. If its volume is of 1/27 of the volume of the cone. At what height above the base, is the section made?

The area of the shaded region will be (O is the center of semicircle AED; ABO and OCD are also semicircles) :

A farmer connects a pipe of internal diameter 25 cm from a canal into a cylindrical tank in his field which is 12 m in diameter and 2.5 m deep. If water flows through the pipe at the rate of 3.6 km/hr, the tank will be filled in:

The points (a, a), (−a, −a) and (−√3 a, √3 a) form the vertices of:

2 boys and 2 girls are in Room A and 1 boy and 3 girls in Room B. The total number of outcomes for the experiment, in which a room is selected and then a person, are:

What is the probability that a number selected at random from the numbers 1, 2, 2, 3, 3, 3, 4, 4, 4 and 4 will be their average?

What is the chance of having 53 Sundays in a leap year?

Arithmetic mean of n numbers 𝑥₁, 𝑥₂, …. 𝑥ₙ is 𝐴. If 𝑥ₙ is replaced by (𝑛+1)𝑥ₙ then the new average is:

(a) \(\frac{(n−1\space A+nxₙ)}{n}\)

(b) \(\frac{nA+(n+1)\space A+xₙ}{n}\)

(c) \(\frac{(n+1)\space A+nxₙ}{n}\)

(d) \((A\space+\space xₙ)\)

Al-Aqsa Mosque, which was in news recently is located in which city?

Which of the following former Japanese Prime Minister was assassinated in 2022?

The US House of Representatives Speaker Nancy Pelosi was in news because of her visit in August, 2022 to:

Which one of the following fundamental rights is also available to foreigners in lndia?

Which of the following can a court issue for enforcement of Fundamental Rights?

Who is the author of the book “Anand Math”?

ln which of the following states is black soil found?

Which one of the following is a rabi crop?

The term ‘Butterfly Stroke’ referred to in which sport:

Rakesh Jhunjhunwala who passed away recently was associated with which profession?

On the occasion of the Treaty of Hudaybiya rumour was spread of the death of which companion (Sahabi)?

The title ‘al-Farooq’ is associated with which Sahabi?

Who experimented with the ‘Control of the Markets’?

The founder of Syed Dynasty was:

Madrasatul Uloom in Aligarh was founded by Sir Syed Ahmad Khan in the year

The ‘Battle of Plassey’ was fought in the year :

The Victoria School was established by Sir Syed Ahmad Khan at:

The ‘Comrade’, an English weekly was launched by:

Tipu Sultan succecded to the throne of the Kingdom of Mysore in the year:

Who among the following was the leading disciple of Khwaja Moinuddin Chisti?

A train travels some distance with a speed of 30 km/hr and returns with a speed of 45 km/hr. The average speed of the train is:

The numerical ratio of distance to displacement for a moving object is:

A and B are two spherical objects. If object B is twice larger than object A; but their densities are same. The ratio of force required to move them at same rate will be :

ln the following velocity – time graph, the distance travelled by the body in meters is:

The force of attraction between two unit point masses separated by a unit distance is called

A body weighs 64 N on the surface of the earth. If the diameter of the earth becomes two times its present value and its volume and mass remains unchanged, then weight of the body on the new surface of the earth is equal to:

A 4 kg mass and 1 kg mass are moving with equal kinetic energies. The ratio of their moment is

An electricity user pays 1200 rupees electricity bill for every month, on which his electric consumption charge is 900 rupees. If he operates a dual coil electric heater (each of 750 W), a fan of 75 W and 10 W LED lamp, for 1, 12, 10 hours, respectively on regular basis. The amount he pays for each of the consumed unit will be:

A block of wood floats in a liquid with four-fifth of its volume submerged. If the relative density of wood is 0.8, the density of liquid is (in kg/m³):

Which one of the following statements is not correct?

Three resistors of 2Ω , 3Ω and 5Ω are connected in parallel across a battery of 10 V and of negligible internal resistance. The potential drop across 3Ω resistor is :

Weight of the solid is 80 gms in air and 62 gms in water. Relative density of the solid will be:

An electric bulb is rated at 200 V- 100 W. Five such bulbs burn for four hours. The cost of the electrical energy consumed, if the rate is 50 paise per unit, will be:

An object vibrates at 100 Hz. Its time period will be:

From the law of refraction of light, the refractive index (μ) of a medium is given by:

The refractive index of water is 4/3 and that of glass is 3/2. The refractive index of glass with respect to water is :

The electrical resistivity of the material of the conductor depends on:

Electrovalent compounds are soluble in:

The compound formed by the reaction of ethanol with ethanoic acid in presence of an acid catalyst is:

Which oxide is more basic in the following?

Which of the following reaction is not correct?

Mass of one atom is equal to :

What are the number of moles in 12.04 × 10²³ atoms of Helium ?
(atomic mass = 4)

The number of molecules of sulphur (S₈) in 16g of solid sulphur are:

Which one is the Dobereiner’s triads in the periodic table?

Which gas is released when acetic acid reacts with sodium hydrogen carbonate?

3MnO₂ + 4Al → 2Al₂O₃ + 3Mn + Heat. The above reaction is not an example of:

Number of carbon atoms present in 0.65 mole of C are:

The solubility of gases in liquids increases with:

Element X forms a chloride with the formula XCl₂, which is a solid with a high melting point. X would most likely be in the same group of the periodic table as:

Which statement is true for the reactions in the following?

Which of the following is the most reactive metal ?

5.3 g of sodium carbonate reacts with 6 g of ethanoic acid to give 2.2 g of carbon dioxide, 0.9 g water and ‘x’ g sodium acetate. According to law of conservation of mass, the value of ‘x’ shall be:

Which of the following hydrocarbons undergoes addition reaction?

(I) C₂H₂
(II) C₂H₄
(III) C₂H₆
(IV) C₃H₆

Choose the correct option:

Which chamber of the heart receives the oxygen-rich blood from the lungs?

Number of nephrons in each human kidney is:

The cuboidal epithelium forms the lining of:

The cell organelles containing their own genetic materials are:

The innermost layer of anther wall is called:

Saccharomyces (Yeast) reproduces by:

In autotrophic nutrition the substance which is not taken up from outside is:

Nitrogen is an essential element for the synthesis of:

Breakdown of pyruvate using oxygen takes place in :

Which of the following occupies the lowest level in an energy pyramid?

All the living organism in an area together with the non-living constituents of the environment forms :

The phenotypic ratio of Mendel’s monohybrid cross between pure tall and dwarf varieties, in F₂ generation is:

Which one is considered as micronutrient ?

In classification the kingdom Protista include:

Which of the following is not triploblastic animal?

Specify the water fern which is used as a green manure in rice fields: