Entrance Exams Question and Answers

Physics Most Viewed Questions

1. The increase in pressure required to decrease the 200 L volume of a liquid by 0.004% (in kPa) is (Bulk modulus of the liquid ==2100 MPa)

Maharashtra CET 2006 Mechanical Properties Of Solids

2. The period of revolution of planet A around the sun is 8 times that of B. The distance of A from the sun is how many times greater than that of B from the sun?

AIPMT 1997 Gravitation

3. The diameter of a flywheel is increased by 1%. Increase in its moment of inertia about the central axis is

JIPMER 2015 System Of Particles And Rotational Motion

4. There are 26 tuning forks arranged in the decreasing order of their frequencies. Each tuning fork gives 3 beats with the next. The first one is octave of the last. What is the frequency of 18th tuning fork?

BHU 2005 Electromagnetic Waves

5. A quarter horse power motor runs at a speed of 600 rpm. Assuming 40% efficiency, the work done by the motor in one rotation will be (in erg)

Manipal 2009 Work, Energy And Power

6. A body of mass 4 kg is accelerated upon by a constant force, travels a distance of 5 m in the first second and a distance of 2 m in the third second. The force acting on the body is

KCET 2008 Laws Of Motion

7. The speed of sound through oxygen at T K is v m$s^{-1}$. As the temperature becomes 2T and oxygen gas dissociates into atomic oxygen, the speed of sound

Manipal 2003 Electromagnetic Waves

8. If voltage across a bulb rated 220 volt-100 watt drops by $2.5\%$ of its rated value, the percentage of the rated value by which the power would decrease is

AIPMT 2012 Current Electricity

9. A cannon of mass I 000 kg, located at the base of an inclined plane fires a shelI of mass 100 kg in a horizontal direction with a velocity 180 $kmh^{-1}$. The angle of inclination of the inclined plane with the horizontal is 45$^{\circ}$. The coefficient of friction between the cannon and the inclined plane is 0.5. The height, in metre, to which the cannon ascends the inclined plane as a result of the recoiI is (g = 10 $ms^{-1})$

EAMCET 2004 Laws Of Motion

10. Two charges $ q_1 $ and $q_2$ are placed 30 cm apart, as shown in the figure. A third charge $q_3$ is moved along the arc of a circle of radius 40cm from C to D. The change in the potential energy of the system is $ \frac{q_3}{ 4 \pi \varepsilon_0}$ k. where k is

AIPMT 2005 Electrostatic Potential And Capacitance

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Chemistry Most Viewed Questions

1. How many litres of water must be added to 1 L of an aqueous solution of HCL with a pH of 1to create an aqueous solution with pH of 2?

IIT JEE 2013 Equilibrium

2. Which of the following solutions will have pH close to 1.0 ?

IIT JEE 1992 Equilibrium

3. A mixture of benzaldehyde and formaldehyde on heating with aqueous NaOH solution gives

IIT JEE 2001 Aldehydes Ketones and Carboxylic Acids

4. Acetone is mixed with bleaching powder to give

AFMC 2004 Aldehydes Ketones and Carboxylic Acids

5. X is heated with soda lime and gives ethane. X is

AFMC 2005 Aldehydes Ketones and Carboxylic Acids

6. If a gas expands at constant temperature, it indicates that

AIPMT 2008 States of Matter

7. Dalda is prepared from oils by

KCET 2008 Surface Chemistry

8. Moderate electrical conductivity is shown by

IIT JEE 1982 The p-Block Elements

9. The radii of $Na^+$ and $Cl^{-1}$ ions are 95 pm and 181 pm respectively. The edge length of NaCl unit cell is

KCET 2006 The Solid State

10. An acidic buffer solution can be prepared by mixing the solution of

IIT JEE 1981 Equilibrium

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Mathematics Most Viewed Questions

1. Domain of definition of the function $f(x)=\frac{3}{4-x^2}+ \log_{10}(x^3-x)$

AIEEE 2002 Sets

2. Let $ \omega \ne 1$ be a cube root of unity and S be the set of all non-singular matrices of the form $\begin {bmatrix} 1 & a & b \\ \omega & 1 & c \\ \omega^2 & \omega & 1 \end {bmatrix}$ where each of a , b and c is either $\omega \ or \ omega^2$ Then, the number of distinct matrices in the set S is

IIT JEE 2011 Determinants

3. For $r = 0, 1, ... , 10,$ if $A_r,B_r$ and $C_r$ denote respectively the coefficient of $x^r$ in the expansions of $(1 + x)^{10}, (1 + x)^{20}$ and $(1 + x)^{30}$.
Then, $\displaystyle \sum A_r(B_{10}B_r-C_{10}A_r)$ is equal to

IIT JEE 2010 Binomial Theorem

4. A ray of light along $x+\sqrt 3 \, y=\sqrt 3$ gets reflected upon reaching X-axis, the equation of the reflected ray is

COMEDK 2013 Straight Lines

5. A ray of light along $x+\sqrt 3 \, y=\sqrt 3$ gets reflected upon reaching X-axis, the equation of the reflected ray is

COMEDK 2013 Straight Lines

6. The integral $ \int^{\pi/2}_{\pi/4} ( 2 \, cosec \, x )^{17} \, dx $ is equal to

JEE Advanced 2014 Integrals

7. The centre of the circle passing through the point (0, 1)and touching the curve $y = x^2 at (2,4)$ is

IIT JEE 1983 Conic Sections

8. If $\int\limits \frac{\cos \, 8x + 1}{ \tan \, 2x - \cot \, 2x} dx = a \, \cos \, 8x + c , $ then $a$ =

COMEDK 2015 Integrals

9. Perpendicular are drawn from points on the line $ \frac{x+2}{2}=\frac{y+1}{-1}= \frac{z}{3}$ to the plane $x+ y + z = 3$. The feet of perpendiculars lie on the line

JEE Advanced 2013 Introduction to Three Dimensional Geometry

10. Let AB be a chord of the circle $x^2 + y^2 = r^2$ subtending a right angle at the centre. Then, the locus of the centroid of the $\Delta PAB$ as P moves on the circle, is

IIT JEE 2001 Conic Sections

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Biology Most Viewed Questions

1. Fluoride pollution mainly affects

AIPMT 2003 Environmental Issues

2. Two bacteria found to be very useful in genetic engineering experiments are

AIPMT 1998 Biotechnology : Principles and Processes

3. Edible part of banana

AIPMT 2001 Morphology of Flowering Plants

4. Meiosis in Dryopteris takes place during

JIPMER 2010 Plant Kingdom

5. In meiosis, the daughter cells differ from parent cell as well as amongst themselves due to

AIPMT 1991 Cell Cycle and Cell Division

6. The edible part of the fruit of apple is

KCET 2013 Morphology of Flowering Plants

7. In spermatogenesis, reduction division of chromosomes occurs during conversion of

WBJEE 2012 Human Reproduction

8. Triticale is obtained by crossing wheat with

AIPMT 2001 Strategies for Enhancement in Food Production

9. Venous heart is found in

Odisha JEE 2012 Animal Kingdom

10. Which one holds corona radiata ?

Maharashtra CET 2007 Human Reproduction

Physics Most Viewed Questions

1. The increase in pressure required to decrease the 200 L volume of a liquid by 0.004% (in kPa) is (Bulk modulus of the liquid ==2100 MPa)

2. The period of revolution of planet A around the sun is 8 times that of B. The distance of A from the sun is how many times greater than that of B from the sun?

3. The diameter of a flywheel is increased by 1%. Increase in its moment of inertia about the central axis is

4. There are 26 tuning forks arranged in the decreasing order of their frequencies. Each tuning fork gives 3 beats with the next. The first one is octave of the last. What is the frequency of 18th tuning fork?

5. A quarter horse power motor runs at a speed of 600 rpm. Assuming 40% efficiency, the work done by the motor in one rotation will be (in erg)

6. A body of mass 4 kg is accelerated upon by a constant force, travels a distance of 5 m in the first second and a distance of 2 m in the third second. The force acting on the body is

7. The speed of sound through oxygen at T K is v m$s^{-1}$. As the temperature becomes 2T and oxygen gas dissociates into atomic oxygen, the speed of sound

8. If voltage across a bulb rated 220 volt-100 watt drops by $2.5\%$ of its rated value, the percentage of the rated value by which the power would decrease is

10. Two charges $ q_1 $ and $q_2$ are placed 30 cm apart, as shown in the figure. A third charge $q_3$ is moved along the arc of a circle of radius 40cm from C to D. The change in the potential energy of the system is $ \frac{q_3}{ 4 \pi \varepsilon_0}$ k. where k is

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Chemistry Most Viewed Questions

1. How many litres of water must be added to 1 L of an aqueous solution of HCL with a pH of 1to create an aqueous solution with pH of 2?

2. Which of the following solutions will have pH close to 1.0 ?

3. A mixture of benzaldehyde and formaldehyde on heating with aqueous NaOH solution gives

4. Acetone is mixed with bleaching powder to give

5. X is heated with soda lime and gives ethane. X is

6. If a gas expands at constant temperature, it indicates that

7. Dalda is prepared from oils by

8. Moderate electrical conductivity is shown by

9. The radii of $Na^+$ and $Cl^{-1}$ ions are 95 pm and 181 pm respectively. The edge length of NaCl unit cell is

10. An acidic buffer solution can be prepared by mixing the solution of

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Mathematics Most Viewed Questions

1. Domain of definition of the function $f(x)=\frac{3}{4-x^2}+ \log_{10}(x^3-x)$

3. For $r = 0, 1, ... , 10,$ if $A_r,B_r$ and $C_r$ denote respectively the coefficient of $x^r$ in the expansions of $(1 + x)^{10}, (1 + x)^{20}$ and $(1 + x)^{30}$. Then, $\displaystyle \sum A_r(B_{10}B_r-C_{10}A_r)$ is equal to

4. A ray of light along $x+\sqrt 3 \, y=\sqrt 3$ gets reflected upon reaching X-axis, the equation of the reflected ray is

5. A ray of light along $x+\sqrt 3 \, y=\sqrt 3$ gets reflected upon reaching X-axis, the equation of the reflected ray is

6. The integral $ \int^{\pi/2}_{\pi/4} ( 2 \, cosec \, x )^{17} \, dx $ is equal to

7. The centre of the circle passing through the point (0, 1)and touching the curve $y = x^2 at (2,4)$ is

8. If $\int\limits \frac{\cos \, 8x + 1}{ \tan \, 2x - \cot \, 2x} dx = a \, \cos \, 8x + c , $ then $a$ =

9. Perpendicular are drawn from points on the line $ \frac{x+2}{2}=\frac{y+1}{-1}= \frac{z}{3}$ to the plane $x+ y + z = 3$. The feet of perpendiculars lie on the line

10. Let AB be a chord of the circle $x^2 + y^2 = r^2$ subtending a right angle at the centre. Then, the locus of the centroid of the $\Delta PAB$ as P moves on the circle, is

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Biology Most Viewed Questions

1. Fluoride pollution mainly affects

2. Two bacteria found to be very useful in genetic engineering experiments are

3. Edible part of banana

4. Meiosis in Dryopteris takes place during

5. In meiosis, the daughter cells differ from parent cell as well as amongst themselves due to

6. The edible part of the fruit of apple is

7. In spermatogenesis, reduction division of chromosomes occurs during conversion of

8. Triticale is obtained by crossing wheat with

9. Venous heart is found in

10. Which one holds corona radiata ?

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3. For $r = 0, 1, ... , 10,$ if $A_r,B_r$ and $C_r$ denote respectively the coefficient of $x^r$ in the expansions of $(1 + x)^{10}, (1 + x)^{20}$ and $(1 + x)^{30}$.
Then, $\displaystyle \sum A_r(B_{10}B_r-C_{10}A_r)$ is equal to