Recent questions tagged difficult

A boy cycles 10 km to the North of his home, then 5 km to the East and again 2 km to the North. How far is he from home?

asked Dec 8, 2014 by pady_1

1 answer

In the above question, if he takes 13 minutes to cycle 1 km. How much time would he take to return home by the shortest possible path?

asked Dec 8, 2014 by pady_1

0 answers

A grasshopper jumps 1 metre in the first jump, 0.5 meter in the second jump, 0.25 metre in the third jump . Find the distance jumped by the grasshopper in the fourth jump if it covers a total distance of 3.5 meters ?

asked Dec 8, 2014 by pady_1

1 answer

Suppose we have 2 clocks. One is a regular clock and the second one is a faulty one which runs faster by an hour in 12 hours of the normal clock. We start both of them together at 12 am. After how many days will they show the same time?

asked Dec 8, 2014 by pady_1

0 answers

Suppose we have 2 clocks. One is a regular clock and the second one is a faulty one which gets delayed by an hour in 12 hours of the normal clock. We start both of them together at 12 am. After how many days will they show the same time?

asked Dec 8, 2014 by pady_1

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Suppose the time is 5:40 pm. What is the next moment when the hour hand and the minute hand pass each other?

asked Dec 8, 2014 by pady_1

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How much time in seconds have passed between 18:54:46.8 and 19:06:04.3?

asked Dec 8, 2014 by pady_1

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Suppose in the above question, instead of the regular 12 hour clock, a new 24 hour clock is used. What would have ben the angle the?

asked Dec 8, 2014 by pady_1

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Solve for x: x + 1/x = -2

asked Dec 8, 2014 by pady_1

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Solve (a^2-b^2)^2

asked Dec 8, 2014 by pady_1

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Solve for x: x + 1/x = 2

asked Dec 8, 2014 by pady_1

1 answer

Find x. x% of 75 + 5% of 30 = 40% of 80

asked Dec 8, 2014 by pady_1

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The number of hours left in a day is double the number of hours passed. How many hours is left in the day?

asked Dec 8, 2014 by pady_1

1 answer

The ratio of the ages of two friends is 2:1.The difference between their age is 3. What are their ages respectively?

asked Dec 8, 2014 by pady_1

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The value of x in 8/x-5/2=7

asked Dec 8, 2014 by pady_1

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The value of x in 5(2x-3)-22=3(x+5)+4

asked Dec 8, 2014 by pady_1

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The value of x in 3(x/2-5)=2(5+3x)

asked Dec 8, 2014 by pady_1

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A two digit number whose square of the sum of the digits is the number itself.

asked Dec 8, 2014 by pady_1

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The equation of the statement: twice the sum of two numbers is the first number added to half the second number

asked Dec 8, 2014 by pady_1

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Puneet decides to do something odd. He goes 3 steps forward and then 1 step backward. He again goes forward by 3 steps and backward by 1 step. He continues doing so. When the total number of steps taken by him is 10 and if he covers 1 m in one step, how far is he from his initial point?

asked Dec 8, 2014 by pady_1

0 answers

Find the length of the line-segment joining the vertex of the parabola $y^2=4ax$ and a point on the parabola where the line-segment makes an angle $\theta$ to the $x$-axis.

asked Oct 10, 2014 by sreemathi.v

1 answer

Find the equation of a circle concentric with the circle $x^2+y^2-6x+12y+15=0$ and has double of its area.

asked Oct 9, 2014 by sreemathi.v

1 answer

If the line $y=\sqrt 3x+k$ touches the circle $x^2+y^2=16$,then find the value of $k$.

asked Oct 8, 2014 by sreemathi.v

1 answer

A wall is tilted in by $15^{\large\circ}$,and a 2kg block is placed against the wall.The block is held in place with a spring.The coefficients of friction between the block and the wall are $\mu_s=0.61$ and $\mu_k=0.49$.Holding the block in place requires that the spring be compressed by 12cm.What is the spring constant of the spring?

asked Sep 2, 2014 by sreemathi.v

1 answer

A gas in a piston cylinder assembly undergoes an expansion process where $PV^{1.5}$=constant.The initial pressure is 3 bar,the initial volume is $0.1m^3$ and the final volume is $0.2m^3$.Determine the work done for this process.

asked Sep 1, 2014 by sreemathi.v

1 answer

A uniform sphere of radius R and mass M is held at rest on an inclined plane of angle $\theta$ by a horizontal string , as shown in the figure. Let $R= 20 \;cm,M= 3\;kg,$ and $ \theta= 30^{\circ}$. What is the normal force exerted on the sphere by the inclined plane ?

asked Aug 28, 2014 by meena.p

1 answer

A cable weighing 2lbs/ft is used to lift 800 lbs of coal up a mineshaft 500 ft deep.Find out how much work is done in ft-lbs.

asked Aug 28, 2014 by sreemathi.v

1 answer

A box can be moved up an inclined plane with constant velocity by a force of magnitude $F_1$ or down the inclined plane with constant velocity by a force of magnitude $F_2$ . Find the coefficient of kinetic friction $\mu_k$ between the box and the inclined plane. It holds that $F_1=6F_2$ and both forces are parallel with the inclined plane. The angle $\alpha$ between the inclined plane and the horizontal plane is $15^{\circ}$

asked Aug 27, 2014 by meena.p

1 answer

A 15 N force is applied to a $6.0\;kg$ block. Determine the acceleration of the block.

asked Aug 27, 2014 by meena.p

1 answer

A 1 kg mass on a frictionless inclined plane is connected by a pulley to a hanging 0.5kg mass,as in the diagram below.At what angle will the system be in equilibrium?

asked Aug 27, 2014 by sreemathi.v

1 answer

A block of mass 1.6 kg is attached to a horizontal spring that has a force constant of $1.0 \times 10^3 N/m$. The spring is compressed 2.0 cm and is then released from rest. Calculate the speed of the block as it passes through the equilibrium position if a constant friction force of 4 N retards its motion from the moment it is released

asked Aug 25, 2014 by balaji.thirumalai

1 answer

A cord passing over a frictionless, massless pulley (Atwood's machine) has a $m_2 =$ 10-kg block tied to one end and a $m_1 =$ 12-kg block tied to the other. If at the end of 3 seconds the string is cut, find the distances moved by the masses $d_1$ and $d_2$ in the next 6 seconds.

asked Aug 19, 2014 by balaji.thirumalai

1 answer

The system on the left shown here is called an Atwood's machine. m$_1$ and m$_2$ are suspended at the ends of a string of negligible mass passing over a friction-less pulley as shown here. The system on the right just has a hanging mass m. What should m be in terms of m$_1$ and m$_2$ so that the tension in the top string is the same in both cases? Assume that the two systems have equal downward acceleration (a').

asked Aug 19, 2014 by balaji.thirumalai

1 answer

A car exhibits a constant acceleration of $0.300 m/s^2$ parallel to the roadway. The car passes over a rise in the roadway such that the top of the rise is shaped like a circle of radius $500\; m$. At the moment the car is at the top of the rise, its velocity vector is horizontal and has a magnitude of $6.00\; m/s$. What is the direction of the total acceleration vector for the car at this instant?

asked Aug 14, 2014 by sreemathi.v

1 answer

Rain is falling vertically with a speed of $4ms^{-1}$.A man riding a bicycle is travelling at a speed of $3ms^{-1}$ in the north to south direction.In order to protect himself from rain,the man should hold his umbrella at an angle $\theta$ given by

asked Aug 14, 2014 by sreemathi.v

1 answer

A 0.2 percent aqueous solution of a non-volatile solute exerts vapour pressure of $1.004$ bar at $100^{\large\circ}$C.What is the molar mass of the solute?

asked Aug 8, 2014 by sreemathi.v

1 answer

$0.1M$ $KMnO_4$ is used for the following titration $S_2O_3^{2-}+KMnO_4^-+H_2O\rightarrow MnO_2(s)+SO_4^{2-}+OH^-$.What volume of the solution in mL will be required to react with 0.158 of $Na_2S_2O_3?

asked Aug 7, 2014 by sreemathi.v

1 answer

The freezing point of 0.02mole fraction solution of acetic acid in benzene is 277.4K.Assuming molality equal to molarity,calculate $K_c$ for the equilibrium reaction $2CH_3COOH \;\;\leftrightharpoons\;\;(CH_3COOH)_2$.

asked Aug 6, 2014 by sreemathi.v

1 answer

The freezing point of equimolal solution will be lowest for

asked Aug 6, 2014 by meena.p

1 answer

Which of the following exhibits the greater freezing - point lowering ?

asked Aug 6, 2014 by meena.p

1 answer

When a sugar- solution is slowly frozen, the first solid which separates out is

asked Aug 6, 2014 by meena.p

1 answer

Pure Benzene freezes at $5.4 ^{\circ}\;C$. A solution of $0.223 \;g$ of phenyl acetic acid $(C_6 H_5 CH_2 COOH)$ in $4.4\;g$ benzene $(K_f =5.12 K\; Kg\;mol^{-1}) $ freezes at $4.47 ^{\circ}$ . From this observation , one can conclude that

asked Aug 5, 2014 by meena.p

1 answer

A solution containing 30 g of non-volatile solute exactly in 90 g of water has a vapour pressure of 2.8 kPa at 298 K. Further, 18 g of water is then added to the solution and the new vapour pressure becomes 2.9 kPa at 298 K. Calculate: vapour pressure of water at 298 K.

asked Aug 5, 2014 by sreemathi.v

1 answer

A solution containing 30 g of non-volatile solute exactly in 90 g of water has a vapour pressure of 2.8 kPa at 298 K. Further, 18 g of water is then added to the solution and the new vapour pressure becomes 2.9 kPa at 298 K. Calculate: molar mass of the solute

asked Aug 5, 2014 by sreemathi.v

1 answer

What is meant by positive and negative deviations from Raoult's law and how is the sign of $\Delta_{mix}H$ related to positive and negative deviations from Raoult's law?

asked Aug 5, 2014 by sreemathi.v

1 answer

How many mL of 0.1 M HCl are required to react completely with 1 g mixture of $Na_2CO_3$ and $NaHCO_3$ containing equimolar amounts of both?

asked Aug 4, 2014 by sreemathi.v

1 answer

A solution of glucose in water is labelled as 10% w/w, what would be the molality and mole fraction of each component in the solution? If the density of solution is $1.2 g mL^{–1}$, then what shall be the molarity of the solution?

asked Aug 4, 2014 by sreemathi.v

1 answer

Analysis shows that a metal oxide has the empirical formula $M_{0.96}O_{1.00}$.Calculate the percentage of $M^{2+}$ and $M^{3+}$ ions in the crystal?

asked Aug 4, 2014 by sreemathi.v

1 answer

Match the following with their condensed electronic configuration:

asked Aug 2, 2014 by balaji.thirumalai

1 answer

In a cubic lattice each edge of the unit cell is 400pm.Atomic weight of the element is 60 and its density is $6.25g/c.c$.Avogadro number =$6.023\times 10^{23}$.What will be the crystal lattice.

asked Aug 1, 2014 by sreemathi.v

1 answer

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