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Recent questions tagged easy

In the binomial expansion of $(a-b)^n,\:n\geq 5$ the sum of $5^{th}$ and $6^{th}$ term is $0$, then $\large\frac{a}{b}$=?

asked Sep 16, 2013 by rvidyagovindarajan_1

1 answer

If the coefficient of $x^7$ in $\big(ax^2+\large\frac{1}{bx}\big)^{11}$ is equal to coefficient of $x^{-7}$ in $\big(ax-\large\frac{1}{bx^2}\big)^{11}$, then $a$ and $b$ satisfy the relation

asked Sep 15, 2013 by rvidyagovindarajan_1

1 answer

The coefficient of $x^n$ in the expansion $(1+x)(1-x)^n$ is

asked Sep 15, 2013 by rvidyagovindarajan_1

1 answer

The total no. of terms in the expansion $(x+y)^{100}+(x-y)^{100} $ is ?

asked Sep 15, 2013 by rvidyagovindarajan_1

2 answers

$S=\{1,2,3..............12\}$ $A,B,C $ are disjoint equivalent subsets of $S$ so that $A\cup B\cup C=S$. How many such sets $A,B,C$ can be formed?

asked Sep 14, 2013 by rvidyagovindarajan_1

1 answer

For $n\geq 4$, $1!+2!+3!+4!+.....n!$ is always

asked Sep 6, 2013 by rvidyagovindarajan_1

1 answer

If $^nC_3=220$, then $n=?$

asked Sep 6, 2013 by rvidyagovindarajan_1

1 answer

If $^{a^2-a}C_2=^{a^2-a}C_4,$ then $a=?$

asked Sep 6, 2013 by rvidyagovindarajan_1

1 answer

$^nC_r+2.^nC_{r-1}+^nC_{r-2}=?$

asked Sep 6, 2013 by rvidyagovindarajan_1

1 answer

If $ ^{n-1}C_6+^{n-1}C_7>^nC_6$, then $n$ is ?

asked Sep 6, 2013 by rvidyagovindarajan_1

1 answer

If $^nP_r=720^nC_r$, then r=?

asked Sep 6, 2013 by rvidyagovindarajan_1

1 answer

If $^nC_{r-1}=36$, $^nC_r=84$ and $^nC_{r+1}=126$, then $r$ = ?

asked Sep 6, 2013 by rvidyagovindarajan_1

1 answer

If $^nC_{12}=^nC_8,$ then $n = ?$

asked Sep 6, 2013 by rvidyagovindarajan_1

1 answer

$(100)!+1$ is divisible by?

asked Sep 5, 2013 by rvidyagovindarajan_1

1 answer

There are 7 identical black balls and 4 identical white balls. In how many ways can they be arranged in a row so that no two white balls are adjacent?

asked Sep 5, 2013 by rvidyagovindarajan_1

1 answer

20 identical marbles of green colour and 20 identical marbles of white colour can be arranged in a row in how many ways so that no two same colour marbles are adjacent?

asked Sep 5, 2013 by rvidyagovindarajan_1

1 answer

The no. of ways in which 20 different pearls of two colours can be set alternatively on a necklace, there being 10 pearls of each colour, is ?

asked Sep 5, 2013 by rvidyagovindarajan_1

1 answer

The total no. of words that can be formed using the alphabets $a,b,c,d,e,f$ taking 3 at a time so that each word has atleast one vowel is ?

asked Sep 4, 2013 by rvidyagovindarajan_1

1 answer

The no. of ways in which 8 different flowers can be strung to form a garland so that 4 particular flowers are not separated is?

asked Sep 4, 2013 by rvidyagovindarajan_1

1 answer

On the occasion of Diwali each student of a class sends greeting cards to others. If there are 20 students in a class, then how many greeting cards were exchanged?

asked Sep 4, 2013 by rvidyagovindarajan_1

1 answer

A Guide with 8 persons takes 3 at a time in a boat at a time as often as he can without taking the same 3 persons more than once. The no. of times each person will go in the boat is?

asked Sep 3, 2013 by rvidyagovindarajan_1

1 answer

Different words are formed using the letters of the word 'INTEGER'. If out of these words, $x$ is number of words in which $I\:and\:N$ are never together and $y$ is no. of words which begin with I and end with R, then $\large\frac{x}{y}=?$

asked Sep 3, 2013 by rvidyagovindarajan_1

1 answer

The number of numbers that can be formed by using digits 1,1,2,2,3,3,4, so that the odd digits always occupy odd places is?

asked Sep 3, 2013 by rvidyagovindarajan_1

1 answer

The no. of ways in which 10 students $A_1,A_2,.....A_{10}$ can be ranked so that $A_1$ is above $A_2$ is ?

asked Sep 3, 2013 by rvidyagovindarajan_1

1 answer

The no. of words containing 4 alphabets having equal no. of $vowels$ and $consonants$ (repetition of letters allowed) is?

asked Sep 3, 2013 by rvidyagovindarajan_1

1 answer

The number of 4 digit numbers divisible by 3 that can be formed by 4 different even digits (0,2,4,5,6,8) is ?

asked Sep 3, 2013 by rvidyagovindarajan_1

1 answer

How many 6 digit numbers can be formed using the digits 0,1,3,5,7,9 that are divisible by 5? (digits should not be repeated)

asked Aug 31, 2013 by rvidyagovindarajan_1

1 answer

In how many ways can 5 identical rings can be worn on 4 fingers?

asked Aug 31, 2013 by rvidyagovindarajan_1

1 answer

If the angular velocity of a planet about its own axis is halved, the distance of geostationary satellite of this planet from the center of the planet will become

asked Aug 30, 2013 by meena.p

1 answer

The acceleration due to gravity on moon is only one sixth that of earth. If the earth and moon are assumed to have same densities the ratio of radii of moon and earth will be

asked Aug 29, 2013 by meena.p

1 answer

Period of revolution of an earth satellite close to surface of earth is 90 minutes. The time period of another satellite in an orbit at a distance three times the radius of earth from its surface will be

asked Aug 29, 2013 by meena.p

1 answer

The radius of planet is R. A satellite revolves around it in a circular orbit of radius r with angular speed 'w'. The acceleration due to gravity on the planet's surface will be

asked Aug 29, 2013 by meena.p

1 answer

A planet is moving in an elliptical path around the sun of shown speed of planet in position P and Q are $v_1$ and $v_2$ respectively with $SP= r_1\;and SQ=r_2$ then $v_1/v_2$ is equal to

asked Aug 29, 2013 by meena.p

1 answer

The magnitude of potential energy per unit mass of object at surface of earth is E. then the escape velocity of the object is

asked Aug 29, 2013 by meena.p

1 answer

The no. of rectangles in a chess board is ?

asked Aug 27, 2013 by rvidyagovindarajan_1

1 answer

The number of ways in which we can select a committee from 4 men and 6 women so that the committee includes at least two men and at least twice as many women as men is?

asked Aug 27, 2013 by rvidyagovindarajan_1

1 answer

A geostationary satellite is orbiting the earth at a height of 6R where R is radius of earth. The time period of another satellite at a height of $2.5 R$ from the surface of earth is

asked Aug 23, 2013 by meena.p

1 answer

The ratio of radius of two planets is K and ratio of acceleration due to gravity of both planet is G. What will be the ratio of their escape velocity ?

asked Aug 23, 2013 by meena.p

1 answer

Which of the following are correct order of nucleophilicity in meoH

asked Aug 23, 2013 by sreemathi.v

1 answer

The mass of earth is $6.00 \times 10^{24} \;kg $ and that of the moon is $7.40 \times 10 ^{22} \;kg \;$ and $G= 6.67 \times 10^{-11} Nm^2 /kg^2$. potential energy of the system is $-7.79 \times 10^{28} J$. The mean distance of between earth and moon is

asked Aug 23, 2013 by meena.p

1 answer

At higher temperature iodoform reaction is given by

asked Aug 23, 2013 by sreemathi.v

1 answer

Allyl chloride on dehydrochlorination gives

asked Aug 23, 2013 by sreemathi.v

1 answer

Which of the following is most reactive towards SN2 reaction?

asked Aug 23, 2013 by sreemathi.v

1 answer

The gravitational field due to mass distribution is $ E= k/x^3$ in the x direction where k is a constant. Taking gravitational potential to be zero at infinity, its value at a distance x is

asked Aug 23, 2013 by meena.p

1 answer

What is the acceleration due to gravity at surface of mass if its diameter is $6760\;km$ and mass is one tenth that of earth. The diameter of earth is $12742\;km$ acceleration due to gravity on earth $=9.8 m/s^2$

asked Aug 23, 2013 by meena.p

1 answer

A stone is dropped freely into a tunnel along the diameter of the earth. When it reaches the center of earth then it has only

asked Aug 23, 2013 by meena.p

1 answer

At what height from the ground will the value of 'g' be the same as that in 10 km deep mine below the surface of earth

asked Aug 23, 2013 by meena.p

1 answer

A planet moves in an elliptical orbit with sun at one of its focii <br> 1) In path QRP work done by gravity is positive . <br> 2) In path PSQ work done by gravity is negative . <br> 3) Linear velocity of rotation from Q to P via R decreases. <br> 4) Gravitational potential energy increases in going from P to Q via R

asked Aug 22, 2013 by meena.p

1 answer

The Planet mercury is revolving in an elliptical orbit around the sun as shown. Kinetic energy will be greatest at

asked Aug 22, 2013 by meena.p

1 answer

As measured by an observer on earth, what would be the difference, if any, in the period of two satellite each in a circular orbit near the earth's equatorial plane, but one moving eastward and other moving westward.

asked Aug 22, 2013 by meena.p

1 answer

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