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Recent questions tagged medium

A bag contains 5 black and 6 red balls.Determine the number of ways in which 2 black and 3 red balls can be selected

asked May 14, 2014 by sreemathi.v

1 answer

In how many ways can we select a cricket eleven from 17 players in which only 5 players can bowl if each cricket eleven must include exactly 4 bowlers?

asked May 14, 2014 by sreemathi.v

1 answer

Determine the number of 5 cards combination out of a deck of 52 cards if there is exactly one ace in each combination

asked May 14, 2014 by sreemathi.v

1 answer

Find the number of ways of selecting 9 balls from 6 red balls,5 white balls and 5 blue balls if each selection consists of 3 balls of each colour.

asked May 14, 2014 by sreemathi.v

1 answer

In how many ways can a team of 3boys and 3 girls be selected from 5 boys and 4 girls?

asked May 14, 2014 by sreemathi.v

1 answer

Determine $n$ if $2nC_3 : nC_3=11 : 1$

asked May 14, 2014 by sreemathi.v

1 answer

Determine $n$ if $2nC_3 : nC_2=12 : 1$

asked May 14, 2014 by sreemathi.v

1 answer

If $nC_8=nC_2$ Find $nC_2$

asked May 14, 2014 by sreemathi.v

1 answer

In how many ways can the letters of the word PERMUTATIONS be arranged if the Vowels are together?

asked May 13, 2014 by sreemathi.v

1 answer

The perpendicular from the origin to the line $y=mx+c$ meets it at the point (-1,2). Find the values of $m$ and $c$.

asked May 13, 2014 by thanvigandhi_1

1 answer

In how many ways can the letters of the word PERMUTATIONS be arranged if the Words start with P and end with $S$?

asked May 13, 2014 by sreemathi.v

1 answer

Find the coordinates of the foot of perpendicular from the point (-1,3) to the line $3x-4y-16=0$

asked May 13, 2014 by thanvigandhi_1

1 answer

In how many of the distinct permutations of the letters in MISSISSIPPI do the four $'I'$s not come together?

asked May 13, 2014 by sreemathi.v

1 answer

Find the equation of the right bisector of the line segment joining the points (3,4) and (-1,2)

asked May 13, 2014 by thanvigandhi_1

1 answer

How many words,with or without meaning can be made from the letters of the word MONDAY,assuming that no letter is repeated if, $4$ letters are used at a time ?

asked May 13, 2014 by sreemathi.v

1 answer

Find $r$ if $5P_r=6P_{r-1}$

asked May 13, 2014 by sreemathi.v

1 answer

Find $r$ if $5P_r=2^6P_{r-1}$

asked May 13, 2014 by sreemathi.v

1 answer

How many 3-digit even numbers can be made using the digits 1,2,3,4,6,7 if no digit is repeated.

asked May 13, 2014 by sreemathi.v

1 answer

How many n-digit numbers are there with no digit repeated?

asked May 13, 2014 by sreemathi.v

1 answer

If $\large\frac{1}{6!}+\frac{1}{7!}=\frac{x}{8!}$ find $x$

asked May 13, 2014 by sreemathi.v

1 answer

Is $3!+4!=7!$

asked May 13, 2014 by sreemathi.v

1 answer

A coin is tossed 3 times and the outcomes are recorded.How many possible outcomes are there?

asked May 13, 2014 by sreemathi.v

1 answer

How many 4-letter code words are possible using the first 10 letters of the english alphabet,if no letter can be repeated?

asked May 13, 2014 by sreemathi.v

1 answer

How many 3-digit even numbers can be formed from the digits 1,2,3,4,5,6 if the digits can be repeated?

asked May 13, 2014 by sreemathi.v

1 answer

A vertical cylinderical tank 1cm high has its top end closed by a tightly fitted frictionless piston of negligible weight.The air inside the cylinder is at an absolute pressure of 1atm.The piston is depressed by pouring mercury on it very slowly.How far will the piston before mercury spills on the top of cylinder?

asked May 12, 2014 by sreemathi.v

1 answer

A cubical box of side 1cm contains helium gas (atomic weight =4) at a pressure of $100N/s^2$.During an abservation time of 1sec,an atom travelling with a root mean square speed parallel to one of the edges of the cube was found to make 500 hits with the wall.Evaluate the temperature of the gas

asked May 12, 2014 by sreemathi.v

1 answer

Calculate the $V_{RMS}$ of organ atoms at room temperature $25^{\large\circ}$

asked May 12, 2014 by sreemathi.v

1 answer

At temperature T,N molecules of a gas A,each having mass m and at the same temperature,2N molecules of gas B each having mass 2m are filled in a container .$V_{RMS}$ of molecules of B is $V^2$ and $x$ component of $V_{RMS}$ of A is $\omega^2$.$\large\frac{\omega^2}{V^2}$ is

asked May 12, 2014 by sreemathi.v

1 answer

28gm of $N_2$ gas is contained in a flask at a pressure 10atm and at a temperature of $57^{\large\circ}$C.It is found that due to leakage in the flask,the pressure is reduced to half & temperature is reduced to $27^{\large\circ}$C.Quantity of $N_2$ leaked out

asked May 12, 2014 by sreemathi.v

1 answer

Which of the following curve represent ideal gas behaviour

asked May 12, 2014 by sreemathi.v

1 answer

Calculate the total degrees of freedom of /cc of hydrogen

asked May 12, 2014 by sreemathi.v

1 answer

A balloon has 5.0g mole of helium at $7^{\large\circ}C$.Calculate the total internal energy of the system

asked May 12, 2014 by sreemathi.v

1 answer

A vessel containing 1gm of oxygen at a pressure of 10atm a temperature of $47^{\large\circ}C$.It is found that because of a leak,the pressure drops to $\large\frac{5}{8}$th of its original value & temperature falls to 2x.Find the mass of oxygen that has leaked out.

asked May 12, 2014 by sreemathi.v

1 answer

What is the energy of the rotational motion of molecules contained in 1Kg of nitrogen at a temperature of $7^{\large\circ}C$

asked May 12, 2014 by sreemathi.v

1 answer

RMS speed of a monoatomic gas is increased by 2 times.If the process is done adiabatically then the ratio of initial volumes to final volume will be

asked May 12, 2014 by sreemathi.v

1 answer

A water tank is constructed on the top of a building with what speed will the water come out of a tank 8m below the water level the tank?Assume steady flow and that the pressure above the water level is equal to $P_{atm}$.

asked May 12, 2014 by sreemathi.v

1 answer

The line through the points $(h,3)$ and $(4,1)$ intersects the line $7x-9y-19=0$ at right angle. Find the value of $h$.

asked May 10, 2014 by thanvigandhi_1

1 answer

Find angles between the lines $ \sqrt 3x+y=1$ and $x+\sqrt 3y=1$.

asked May 10, 2014 by thanvigandhi_1

1 answer

Find equation of the line perpendicular to the line $x-7y+5=0$ and having $x$ intercept 3.

asked May 10, 2014 by thanvigandhi_1

1 answer

Find the equation of the line parallel to the line $3x-4y+2=0$ and passing through the point $(-2, 3)$

asked May 10, 2014 by thanvigandhi_1

1 answer

What height would a water barometer need to be to measure atmospheric pressure?

asked May 9, 2014 by sreemathi.v

1 answer

At what depth below the surface of oil,relative density 0.8,will produce a pressure of $120KN/m^2$?

asked May 9, 2014 by sreemathi.v

1 answer

What will the absolute pressure of water at depth 12m below the surface?$(\rho_{water}=1000Kg/m^3,P_{atm}=101KN/m^2)$

asked May 9, 2014 by sreemathi.v

1 answer

Water flows in a horizontal tube as shown in figure.The pressure of water changes by $600N/m^2$ between A and B where the areas of cross section are $30cm^2$ and $15cm^2$ respectively.Find the rate of flow of water through the tube

asked May 9, 2014 by sreemathi.v

1 answer

The area of cross section of the wider tube shown in figure is $900cm^2$.If the boy standing on the piston weights 45Kg then difference in the levels of water in the two tubes are ($\rho_{water}=1000Kg/m^3)$

asked May 9, 2014 by sreemathi.v

1 answer

A U-tube contains water and methylated spirit separated by mercury.The mercury columns in the two arms are in level with 10cm of water in one arm & 12.5cm of spirit in the other.What is specific gravity of spirit ?

asked May 9, 2014 by sreemathi.v

1 answer

From the figure below,(A) & (B) refer to the study of flow of a (non-viscous) liquid.Which of the two figures is incorrect?($P_1$ & $P_2$ represents pipe)

asked May 9, 2014 by sreemathi.v

1 answer

There is a small hole near the botttom of an open tank filled with a liquid.The speed of water ejected does not depend on

asked May 9, 2014 by sreemathi.v

1 answer

Two wires of radii in the ratio 2 : 3,lengths in the ratio 3 : 5.Forces applied in the ratio 5 : 7 with young modulii in the ratio 3 : 4.The change in length is in the ratio

asked May 8, 2014 by sreemathi.v

1 answer

A wire can sustain the weight of 5kg.If we cut the wire in 3 parts then together 3 parts can sustain the weight

asked May 8, 2014 by sreemathi.v

1 answer

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