AMU Diploma in Engineering Entrance PYQs- 2017

The value of m in -3(m-2) >12 is

If (x¹⁰⁰+2x⁹⁹+k) is divisible by (x+1), then the value of k is

Two complementary angles are such that twice the measures of the one is equal to three times the measure of the other. The larger of the two measures

Points A and B are 60 km apart. A bus starts from A and another from Bat the same time. If they go in the same direction they meet in 6 hours and if they go in opposite directions, they meet in 2 hours. The speed of the bus with greater speed is

Find the ratio in which the line segment joining A(1, -5) and B(-4, 5) is divided by the x-axis

In the given figure, ray OS stands on a line POQ. Ray OR and ray OT are angle bisectors of ∠POS and ∠SOQ respectively. If ∠POS=y, ∠ROT equals

In the adjoining figure AD, AE and BC are tangents to the circle at D, E, F respectively. Then

The pillars of a building are cylindrically shaped. If each pillar has a circular base of radius 20 cm and a height of 10 m, the concrete required to build 14 such pillars is

A die is thrown 1000 times with the frequencies for the outcomes 1,2,3,4,5,6 as given in the table.

The probability of getting six is

The mean of 25 observations is 36. The mean of the first 13 observations is 32 and that of last 13 observations is 39. What is the value of the 13th observation?

Rational form of   is

If \(\frac{x}{y} + \frac{y}{x} = 1\), where x≠0, y≠0, then the value of (x³-y³) is

The ratio of incomes of two persons is 9 : 7 and the ratio of their expenditure is 4 : 3. If each of them saves Rs. 200 per month, find their monthly incomes

X takes 3 hours more than Y to walk 30 km. But, if X doubles his pace, he is ahead of Y by \(1\frac{1}{2}\) hours. Then, the speeds of X and Y are

(a)  \(\frac{10}{3}\) km/hr, 10 km/hr

(b)  10 km/hr, \(\frac{10}{3}\) km/hr

(c)  \(\frac{10}{3}\) km/hr, 5 km/hr

(d)  10 km/hr, 5 km/hr

A motor boat whose speed is 18 km/h in still water takes 1 hour more to go 24 km upstream than to return downstream to the same spot. The speed of the stream is

A person on tour has Rs. 360 for his expenses. If he extends his tour for 4 days, he has to cut down his daily expenses by Rs. 3. Then the original duration of the tour is

A rectangular park is to be designed whose breadth is 3 m less than its length. Its area is to be 4 square meters more than the area of a park that has already been made in the shape of an isosceles triangle with its base as the breadth of the rectangular park and of altitude 12 m. The length and breadth are:

How many terms of the AP : 24, 21, 18 __ must be taken so that their sum is 78?

If A(5, 2), B(2, -2) and C(-2, t) are the vertices of right angled triangle with ∠B=90° , then value of t

In ΔABC, the medians BE and CF intersects at G. AGD is a line meeting BC in D. If GD=1.5 cm then AD is equal to

If  3x = cosecθ  and \(\frac{3}{x}\) = cot θ , then \(3(x²-\frac{1}{x^{2}})\) = ?

(a) \(\frac{1}{21}\)
(b) \(\frac{1}{81}\)
(c) \(\frac{1}{3}\)
(d) \(\frac{1}{9}\)

If A,B and C are interior angles of a triangle ABC, then sin\((\frac{B+C}{2})\)=

(a) \(sin\frac{A}{2}\)
(b) \(cos\frac{A}{2}\)
(c) \(-sin\frac{A}{2}\)
(d) \(-cos\frac{A}{2}\)

secA(1 – sinA)(secA + tanA) equals

From a point on a bridge across a river, the angles of depression of the banks on opposite sides of the river are 30° and 45° respectively. If the bridge is at a height of 3 m from the banks, the width of the river is

The cost of fencing a circular field at the rate of Rs. 24/metre is Rs. 5280. The field is to be ploughed at the rate of Re. 1 per m². The cost of ploughing the field is

A cone of height 24 cm and radius of base 6 cm is made up of modelling clay. A child reshapes it in form of a sphere. The radius of a sphere is

A copper rod of diameter 1 cm and length 8 cm is drawn into a wire of length 18 m of uniform thickness. The thickness of the wire is

If the median of the following series of observation is 40. The value of x is
30, 31, 35, x, x+2, 45, 48, 49

In a musical chair game, the person playing the music has been advised to stop playing the music at any time within 2 minutes after she starts playing. What is the probability that the music will stop within the first half-minute after starting?

A bag contains 4 red balls and some blue balls. If the probability of drawing a blue ball is double that of a red ball, find the number of blue balls in the bag

Which is the highest honour or award given for achievement in sports?

Which cup and trophy is associated with cricket?

The Kawal Tiger Reserve (KTR) is located in the Indian state of

The radius of the earth is approximately _________ kms.

Which state has become the first Indian state to establish cashless system for distribution of food grains?

E. Ahmed, who passed away recently, was a Member of parliament (MP) from which Lok Sabha constituency?

Who won the Monaco Grand Prix in 2016?

“A Tale of Two Cities” and “ Oliver Twist” was written by

Where was 2016 Summer Olympics held?

Who was the first President of the United States of America?

Madrasatul Uloom was established by Syed Ahmed Khan in

Which of the following was not a Mughal emperor?

Whose tomb is situated in Delhi?

Who gave the slogan ‘Inquilab Zindabad’?

The first Indian expedition by Muhammad Ghauri was

What is the old name of Madinah-Tul-Munawarh?

Uncle of Prophet, Hamzah was killed in the

Before the Prophethood Muhammad (PBUH) was

The first Prophet of Allah was

The Life Hereafter is known in Islam, as

The position of An object moving along x-axis is given by x=a+bt² where a=8.5 m, b=2.5 m/s² and t is measured in seconds. What is the average velocity between t=2s and t=4s?

The displacement y of a wave travelling in the x-direction is given by \(y=10^{-3}sin\left(800t-2x+\frac{π}{3} \right)\) where x is expressed in meters and t in seconds. The speed of the wave
motion (in m/s) is

In a tug of war, a 100 kg mass is hanged from the mid-point of the rope. The force that each side should exert to make the rope horizontal again is

A machine gun has a mass of 20 kg. It fires 35 gm bullets at the rate of 400 bullets per minute with a speed of 400 m/s. What force must be applied to the gun to keep it in position?

Two masses of 1 g and 9 g are moving with equal kinetic energies. The ratio of the magnitudes of their respective linear momenta is

An object of mass 40 kg is raised to a height of 5 m above the ground. If the object is allowed to fall, find its kinetic energy when it is halfway down (g=10 m/s²)

If the two liquids of the same mass but densities d₁ and d₂ respectively are mixed, then the density of the mixture is

(a) \(d = \frac{d_1 + d_2}{2}\)

(b) \(d = \frac{d_1 + d_2}{2d_1d_2}\)

(c) \(d = \frac{2d_1d_2}{d_1 + d_2}\)

(d) \(d = \frac{d_1d_2}{d_1 + d_2}\)

A boat having a length of 3 m and breadth of 2 m is floating on a lake. The boat sinks by 1 cm when a man gets on it. The mass of the man will be (density of water = 1000 kg/m³)

The distance travelled by sound in the air, when a tuning fork of frequency 560 Hz makes 30 vibrations, will be (speed of sound in air = 336 m/s)

The pitch of sound is

If in the circuit, power dissipation is 150 W, then R is

Two heater wires of equal length are first connected in series and then in parallel. The ratio of heat produced in the two cases is

When the same current is passed for the same time through different electrolyte solutions, the amount of substance deposited at the electrodes are in the ratio of

Figure shows a ray of light as it travels from medium A to medium B. Refractive index of medium B relative to medium A is

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

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

(c) \(\frac{1}{\sqrt{2}}\)

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

Power of a lens is -2.0 D. The focal length and type of lens are respectively

Which of the following is not an example of a bio-mass energy source?

Uneven heating of air over land and water bodies causes

Which of the following energy is absorbed during the change of the state of substance?

The process involving the change of state from solid to gas is

Which one of the following properties is not correct for a suspension?

Face cream is a

The mass of one molecule of methane is

The number of neutrons present in 26 g of \(^{13}_{6}\mathrm{C}\) are

In Rutherford’s atomic model particles were stroked on

Respiration is

Which gas is liberated when sodium bicarbonate is reacted with aqueous hydrochloric acid?

Leaves of nettle have stinging hair and secretes

What is the normality of 0.3 MH₃PO₄ , when it undergoes the reaction as
H₃PO₄ + 2OH⁻ → HPO₃²⁻ + 2H₂O

A solution turns red litmus blue, its pH is likely to be

Buckminster fullerene is an allotropic form of

The correct name of the below compound is
HC ≡ CCH₂(CH₂)₃CH₃

Benzene with molecular formula, C₆H₆ has

Heating of ethanol with excess concentration H₂SO₄ at 443 K produces

Which of the following metal have the lowest melting point?

The atomic number of elements which represent a metal is

The major pollutant from automobile exhaust is

The largest group of animal kingdom characterized by bilateral symmetry, segmented body and open circulatory system is

Which is not the characteristic of vertebrate?

Oxygenation of blood in human beings occurs in

When terminal phosphate linkage in ATP molecule broken down using water, energy of ________ is released.

Existence of four chambered working heart starts from

The breakdown of pyruvate to give carbon dioxide, water and energy take place in

Which one of the following groups of animals are triploblastic and radially symmetrical?

Which is the dividing tissue present in the growing regions of the plant?

Which of the following is a complex tissue?

Which of the following does not produce seeds?

Which of the following is not an example of Porifera?

The gap between two neurons is called

The anther contains

An example of homologous organs is