AMU Diploma in Engineering Entrance PYQs- 2016

How will you name the following compound? CH₃-CH=CH₂

Functional group in Butanone is

The metals stored in oil

Electrolysis of Brine gives at anode

Removal of oil and dirt from cloth by soap and detergent is due to

Which of these allotropes of carbon is formed of hexagonal arrays being placed in layers?

The compound showing highest boiling point:

The correct order of biological hierarchy from “Kingdom of species” is

Members of Phylum Arthropoda lack one of the following features:

Roundworms infect human by:

Staphylococci is a gram-positive bacteria which stains:

The correct different between prokaryotic and eukaryotic cells is:

Which is the correct order of increase geological time scale for vertebrate evolution?

The genotype for the blood group AB is:

(a) \(|^A|^{0}\)
(b) \(|^A|^{B}\)
(c) \(|^B|^{0}\)
(d) \(|^0|^{0}\)

Which of the following alternative is incorrect?

Choose the correct statement:

Select the most appropriate statement:

To form Polygonum type of embryo sac megaspore nucleus undergoes:

In a dihybrid cross of yellow and round seeds and green and wrinkled seeds, F₂ seeds showed the four possible combinations in the ratio of

The correct sequence in the pathway of ‘Reflex Arc’ is

Kidney has large numbers of filtration units called as:

The elongated living plant cell with irregularly thickened cell wall belongs to

The breakdown of pyruvate using oxygen takes place in

If \(a = -(\sqrt{35})^{2}\) , then the value of a²-1/a² is

(a) \(2(6 + \sqrt{35})^{2}\)
(b) \(4(6 + \sqrt{35})^{2}\)
(c) \(-24\sqrt{35}\)
(d) \(24\sqrt{35}\)

Which of the following is an irrational number between 2 and 3?

Consider the following statements:
Let P(x) and Q(x) be two different polynomials with real coefficients of degrees m and n respectively, where m≥0 and n≥0 , then
Statement I: deg {P(x)-Q(x)} ≤ d
Statement II: deg {P(x), Q(x)}=m+n
where ‘d’ is defined as
d = m if m>n
   = n if n>m
   = m or n if m=n
and ‘deg’ stands for degree of the polynomial.
In your opinion:

If the polynomial \(2x^{4}\) + 7x³ – 5x² +24x – 16 is divided by x² + 4x + k, according to the division algorithm for the polynomials, the remainder comes out to be x+a, then k and a will be respectively:

In a triangle ABC, one of the angles is 25% more than the sum of other two. Then the largest angle of the triangle is:

The perimeter of an isosceles triangle is 20 cm. If each equal side is twice the base, then the length of the three sides of the triangle in cm, are

For what value of ‘a’ does the following pair of linear equations is inconsistent:
2x + 3y = 7, and (a-1)x + (a+1)y = 3a² -1

A train covered a certain distance at a uniform speed. If the train would have been 10 km/hr faster, it would have taken 2 hours less than the scheduled time. If the train were slower by 10 km/hr, it would have taken 3 hours more than the scheduled time. The distance covered by the train will be:

The roots of the quadratic equation 25x² + 20x +7=0 are

The real value of p for which the equation x² +2x +(p² +1)=0 has real root is

The altitude of a right triangle is 5 cm less than the base x cm and the hypotenuse is 6 cm. The quadratic representation of the above situation is

If \(\log_{10} 2,\ \log_{10}(2^{x} – 1)\) and \(\log_{10}(2^{x} + 3)\) are three consecutive terms of an arithmetic progression, then

Consider the following statements:
If a, b, c, d, e are in an arithmetic progression, then
Statement 1: \(\frac{a}{x},\ \frac{b}{x},\ \frac{c}{x},\ \frac{d}{x},\ \frac{e}{x}\) will be in an arithmetic progression, where x ≠ 0,
Statement II: There exist b₁, c₁, d₁ such that a, b₁, c₁, d₁, e are in an arithmetic progression where b ≠ b₁, c ≠ c₁, d ≠ d₁. In your opinion,

In the adjoining figure ABC is an equilateral triangle and C is the centre of the circle, A and B lie on the circle. What is the area of the shaded region, if the diameter of the circle is 28 cm?

(a) \(\left(102\frac{2}{3} – 49\sqrt{3}\right)\,\text{cm}^{2}\)
(b) \(\left(103\frac{2}{3} – 98\sqrt{3}\right)\,\text{cm}^{2}\)
(c) \(\left(109 – 38\sqrt{3}\right)\,\text{cm}^{2}\)
(d) None of these

If the radius of a cylinder is doubled, but the height is reduced by 50%, the percentage change in volume is

The mean of 7 observations is 8. A new observation 16 is added. The mean of 8 observation is

The following frequency distribution is classified as:

In an equilateral triangle ABC, D is a point on side BC such that \(\text{BD} = \frac{1}{3}\,\text{BC}\), then the ratio AD² : AB²

Which one is not Euclid’s postulate?

In the given figure, side QP and RQ of ∆PQR are produced to points S and T respectively. If ∠PRQ=65° and ∠PqR=70° , then the ∠SPR is

The moon is about 384000 km from the earth and its path around earth is circular. The moon takes 24 hours to complete one orbit. The speed at which the moon orbits the earth in km/h is

ABCD is a parallelogram in which P and Q are midpoints of opposite sides AB and CD. If AQ intersects DP at S and BQ intersects CP at R, then the total number of parallelograms are

If cotA + cos75° = tan5° + sin15° when ∠A lies between 0° and 45°, then the value of A is

In the figure. If PQ || RS, ∠MYR=40° and ∠XMY=85°, then ∠MXQ is

From each corner of a square of side 7 cm, a quadrant of circle of radius 2 cm is cut and also a circle of diameter 3 cm is cut, the area of remaining portion of the square is (in cm²)

A triangular park ABC has sides in the ratio of 3 : 5 : 7 and its perimeter is 300 m. A farmer has to put a fence all around it with barbed wire at the rate of Rs. 30 per meter leaving a space 3.5 m wide for gate on one side. The area of park and cost of fencing is respectively.

The ratio in which the line segment joining the points (-3, 10) and (6, -8) is divided by (-1, 6) is

Which of the following figure lie on the same base and between the same parallels

The solution of:
\(\frac{5\cos^{2}60° – 4\sec^{2}30° – \tan^{2}45°}{\sin^{2}30° + \cos^{2}30°}\)

(a) \(\frac{61}{12}\)

(b) \(\frac{43 – 24\sqrt{3}}{11}\)

(c) \(-\frac{61}{12}\)

(d) \(-\frac{12}{61}\)

If A(-4, -2), B(-3, -5), C(3, -2) and D(2, 3) are the vertices of a quadrilateral, then the area of quadrilateral ABCD is (in square units)

Who among the following was conferred with the Indira Gandhi award for national integration on October 31, 2015?

Who among the following is the author of Dreaming Big My Journey to Connect India released in October 2015?

President of India, Pranab Mukherjee recently announced to impose the President’s rule in which of the following state?

Which of the following award is given to recognize outstanding achievement in sports?

Azlan Shah Trophy is associated with which sports?

Which of the following is the highest award in the field of literature in India?

Indian-born Nobel Prize winner Venkat Ram Krishnan is associated with

Which city has shut 2,500 firms this year to fight pollution?

Fulll form of BRICS

The first women film star nominated to the Rajya Sabha was

In which year Sir Syed Ahmed Khan founded the Scientific Society?

Mohammadan Literary Society was founded in 1863 in Calcutta by

Tansen was a court musician of which king?

Who authored the book ‘Humayun Nama’?

Amir Khusru was disciple of which Sufi Saint?

The first woman who sucked the Prophet Muhammad (PBUH) after his mother was:

What is the name of grandfather of Prophet Muhammad (PBUH)?

Who constructed Alai Darwaza, a gateway to the enclosure of the Quwat-ul-Islam mosque in Delhi?

Itmaad-ud-daula, whose tomb is built at Agra, was father-in-law of which Mughal emperor?

At the age of twelve, Prophet Muhammad (PBUH) travelled to Syria with his uncle. What is the name of that Uncle?

The area under speed-time graph represents a physical quantity which has the unit of

Which of the following statement is incorrect regarding an electromagnet?

A 4Ω resistance is doubled on it, then its new resistance will be

An electron enters in a magnetic field at right angle (see figure below).The direction of force acting on the electron will be

A positively charged particle projected towards west is deflected towards north by a magnetic field. The direction of magnetic field is

The phenomenon of electromagnetic induction is

A strong bar magnet is placed vertically above a horizontal wooden board. The magnetic lines of force will be

The diagram given below represents a magnetic field caused by a current-carrying conductor which is

An object is put in three liquids having different densities one by one. The object floats with \(\frac{1}{9},\ \frac{2}{11},\ \frac{3}{7}\) parts of its volume outside the surface of liquids of densities d₁, d₂ and d₃ respectively. Which of the following is the correct order of the densities of the three liquids?

Four balls A, B, C and D displace 10 ml, 24 ml, 15 ml and 12 ml of a liquid respectively when immersed completely. The ball which will undergo the maximum apparent loss in weight will be

The gravitational force between two objects is F. How will this force change when the distance between them is reduced to half?

Which among the following bodies is more energetic?

A rod of mass ‘m’ and length ‘l’ is lying on a horizontal table. Work done in making it stand on one end will be

If the sound wave is produced by vibrating tuning fork shows in figure, then half of time period is represented by

A boy 1.5 m tall with his eye level at 1.38 m stands before a mirror fixed on a wall. What should be the minimum length of the mirror so that he can view himself fully?

An erect image 3 times of the size of the object is obtained with a concave mirror of radius of curvature 36 cm. What is the position of the object from the mirror?

The power of a plano-convex lens with a refractive index of 1.5 and a radius of a curved surface of 15 cm would be

A change of state from solid to gas is called

The number of particles in 8g O₂ is×

In the periodic table, period II has the following elements:

Orange juice was diluted 10 times. Its pH will

What is the correct order of relative activities of metals?

How many moles of 3.6 g of water will contain?

Which one of the following is not possible?

Milky colour formation in lime water on passing CO₂ gas is due to

Which of the following statement is not true about metal oxides?

For a reaction
3MnO₂(s) + 4X(s) → 3Mn(l) + 2X₂O₃ (s)
Which of the following metals substitute ‘X’?