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Recent questions in Mathematics
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JEEMAIN and NEET
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Mathematics
Mathematics
Limit, Continuity and Differentiability
Class11
Trigonometry
Class12
Sets, Relations and Functions
If the coefficient of $x^2$ and $x^3$ in the expansion of $(3+ax)^9$ are same, then the value of $a$ is ?
jeemain
math
class11
ch8
binomial-theorem
general-and-middle-terms
easy
asked
Sep 19, 2013
by
rvidyagovindarajan_1
1
answer
The $5^{th}$ term from the end in the expansion of $\bigg(\large\frac{x^3}{2}-\frac{2}{x}\bigg)^{12}$ is ?
jeemain
math
class11
ch8
binomial-theorem
general-and-middle-terms
medium
asked
Sep 19, 2013
by
rvidyagovindarajan_1
1
answer
The middle term in the expansion $(1+x)^{2n}$ is ?
jeemain
math
class11
ch8
binomial-theorem
general-and-middle-terms
easy
asked
Sep 19, 2013
by
rvidyagovindarajan_1
1
answer
The term independent of $x$ in the expansion $(2x-\large\frac{1}{3x})^6$ is ?
jeemain
math
class11
ch8
binomial-theorem
general-and-middle-terms
easy
asked
Sep 17, 2013
by
rvidyagovindarajan_1
1
answer
If $x=\large\frac{1}{3}$, the greatest term in the expansion of $(1+4x)^8$ is ?
jeemain
math
class11
ch8
binomial-theorem
general-and-middle-terms
easy
asked
Sep 17, 2013
by
rvidyagovindarajan_1
1
answer
If the coefficient of middle terms in $(1+\alpha x)^4$ and $(1-\alpha x)^6$ is same then $\alpha =?$
jeemain
math
class11
ch8
binomial-theorem
general-and-middle-terms
medium
asked
Sep 17, 2013
by
rvidyagovindarajan_1
1
answer
The coefficient of $x^7$ in the expansion $(1-x-x^2+x^3)^6$ is ?
jeemain
math
class11
ch8
binomial-theorem
general-and-middle-terms
difficult
asked
Sep 17, 2013
by
rvidyagovindarajan_1
1
answer
In the binomial expansion of $(a-b)^n,\:n\geq 5$ the sum of $5^{th}$ and $6^{th}$ term is $0$, then $\large\frac{a}{b}$=?
jeemain
math
class11
ch8
binomial-theorem
general-and-middle-terms
easy
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
jeemain
math
class11
ch8
binomial-theorem
general-and-middle-terms
easy
asked
Sep 15, 2013
by
rvidyagovindarajan_1
1
answer
The coefficient of $x^n$ in the expansion $(1+x)(1-x)^n$ is
jeemain
math
class11
ch8
binomial-theorem
general-and-middle-terms
easy
asked
Sep 15, 2013
by
rvidyagovindarajan_1
1
answer
The total no. of terms in the expansion $(x+y)^{100}+(x-y)^{100} $ is ?
jeemain
math
class11
ch8
binomial-theorem
positive-integral-index
easy
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?
jeemain
math
class11
ch7
permutations-and-combinations
combinations
easy
asked
Sep 14, 2013
by
rvidyagovindarajan_1
1
answer
There are 9 Judges in a beauty contest. A particular candidate is selected as the winner if she gets maximum number of votes in favour. In how many ways a particular candidate is declared the winner?
jeemain
math
class11
ch7
permutations-and-combinations
combinations
medium
asked
Sep 6, 2013
by
rvidyagovindarajan_1
1
answer
For $n\geq 4$, $1!+2!+3!+4!+.....n!$ is always
jeemain
math
class11
ch7
permutations-and-combinations
fundamental-principle-of-counting
easy
asked
Sep 6, 2013
by
rvidyagovindarajan_1
1
answer
There are 10 men. 5 of them are to be selected for a team. In how many ways this can be done if a particular person is to be selected in the team and if A is selected then B also is to be selected?
jeemain
math
class11
ch7
permutations-and-combinations
combinations
medium
asked
Sep 6, 2013
by
rvidyagovindarajan_1
1
answer
If $^nC_3=220$, then $n=?$
jeemain
math
class11
ch7
permutations-and-combinations
combinations
easy
asked
Sep 6, 2013
by
rvidyagovindarajan_1
1
answer
If $^{a^2-a}C_2=^{a^2-a}C_4,$ then $a=?$
jeemain
math
class11
ch7
permutations-and-combinations
combinations
easy
asked
Sep 6, 2013
by
rvidyagovindarajan_1
1
answer
$^nC_r+2.^nC_{r-1}+^nC_{r-2}=?$
jeemain
math
class11
ch7
permutations-and-combinations
combinations
easy
asked
Sep 6, 2013
by
rvidyagovindarajan_1
1
answer
If $ ^{n-1}C_6+^{n-1}C_7>^nC_6$, then $n$ is ?
jeemain
math
class11
ch7
permutations-and-combinations
combinations
easy
asked
Sep 6, 2013
by
rvidyagovindarajan_1
1
answer
If $^nP_r=720^nC_r$, then r=?
jeemain
math
class11
ch7
permutations-and-combinations
permuations-and-combinations
easy
asked
Sep 6, 2013
by
rvidyagovindarajan_1
1
answer
If $^nC_{r-1}=36$, $^nC_r=84$ and $^nC_{r+1}=126$, then $r$ = ?
jeemain
math
class11
ch7
permutations-and-combinations
combinations
easy
asked
Sep 6, 2013
by
rvidyagovindarajan_1
1
answer
If $^nC_{12}=^nC_8,$ then $n = ?$
jeemain
math
class11
ch7
permutations-and-combinations
combinations
easy
asked
Sep 6, 2013
by
rvidyagovindarajan_1
1
answer
In how many ways a mixed double games can be arranged from 8 married couples if no husband and wife play in the same game?
jeemain
math
class11
ch7
permutations-and-combinations
combinations
medium
asked
Sep 5, 2013
by
rvidyagovindarajan_1
1
answer
$(100)!+1$ is divisible by?
jeemain
math
class11
ch7
permutations-and-combinations
fundamental-principle-of-counting
easy
asked
Sep 5, 2013
by
rvidyagovindarajan_1
1
answer
A bag contains 3 black 4 white and 2 red balls, all balls being different. The number of selection of at the most 6 balls so that each selection has balls of all the 3 colours is ?
jeemain
math
class11
ch7
permutations-and-combinations
combinations
medium
asked
Sep 5, 2013
by
rvidyagovindarajan_1
1
answer
How many different pair of letters ( , ) can be made from the letters if the word 'STATICS'?
jeemain
math
class11
ch7
permutations-and-combinations
combinations
medium
asked
Sep 5, 2013
by
rvidyagovindarajan_1
1
answer
There are $20$ boxes numbered $1,2,......20$. Five boxes are selected at random and are arranged in ascending order. In how many ways this can be done so that no. $10$ is present in each selection and it comes in $3rd$ place in the arrangement.?
jeemain
math
class11
ch7
permutations-and-combinations
combinations
medium
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?
jeemain
math
class11
ch7
permutations-and-combinations
permutations
easy
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?
jeemain
math
class11
ch7
permutations-and-combinations
fundamental-principle-of-counting
easy
asked
Sep 5, 2013
by
rvidyagovindarajan_1
1
answer
There are $10$ white and $10$ black balls each set numbered 1,2,3......10. The no. of ways in which they can be arranged so that no two adjacent balls are of same colour is ?
jeemain
math
class11
ch7
permutations-and-combinations
fundamental-principle-of-counting
medium
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 ?
jeemain
math
class11
ch7
permutations-and-combinations
fundamental-principle-of-counting
easy
asked
Sep 5, 2013
by
rvidyagovindarajan_1
1
answer
16 different things are to be distributed among 3 persons A,B,C so that B gets 1 more than A and C get 2 more than B. In how many ways this can be done?
jeemain
math
class11
ch7
permutations-and-combinations
medium
asked
Sep 4, 2013
by
rvidyagovindarajan_1
1
answer
Four couples (husband and wife)decide to form a committee of four members. How many committees can be formed so that no couple finds a place in it?
jeemain
math
class11
ch7
permutations-and-combinations
combinations
medium
asked
Sep 4, 2013
by
rvidyagovindarajan_1
1
answer
The no. of ways in which any four letters can be selected from the word 'ENTREE' is
jeemain
math
class11
ch7
permutations-and-combinations
combinations
medium
asked
Sep 4, 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 ?
jeemain
math
class11
ch7
permutations-and-combinations
easy
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?
jeemain
math
class11
ch7
permutations-and-combinations
permutations
easy
asked
Sep 4, 2013
by
rvidyagovindarajan_1
1
answer
How many 6 digit numbers can be formed using the digits 1,2,3,4 so that each of the digits should come atleast once in each number?
jeemain
math
class11
ch7
permutations-and-combinations
medium
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?
jeemain
math
class11
ch7
permutations-and-combinations
combinations
easy
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?
jeemain
math
class11
ch7
permutations-and-combinations
combinations
easy
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 $\large\frac{x}{y}=?$
jeemain
math
class11
ch7
permutations-and-combinations
permutations
easy
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?
jeemain
math
class11
ch7
permutations-and-combinations
permutations
easy
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 ?
jeemain
math
class11
ch7
permutations-and-combinations
permutations
easy
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?
jeemain
math
class11
ch7
permutations-and-combinations
easy
asked
Sep 3, 2013
by
rvidyagovindarajan_1
1
answer
A coin is tossed 6 times In how many ways we can get the $3^{rd} $ head in the $5^{th}$ toss?
jeemain
math
class11
ch7
permutations-and-combinations
permutations
medium
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 ?
jeemain
math
class11
ch7
permutations-and-combinations
permutations
easy
asked
Sep 3, 2013
by
rvidyagovindarajan_1
1
answer
The total number of 4 digit numbers in which the digits are in descending order is ?
jeemain
math
class11
ch7
permutations-and-combinations
combinations
medium
asked
Sep 3, 2013
by
rvidyagovindarajan_1
1
answer
If $n$ is odd, then in how many ways $3$ numbers that are in A.P. can be selected from the numbers $1,2,3,...............n$?
jeemain
math
class11
ch7
permutations-and-combinations
fundamental-principle-of-counting
difficult
asked
Sep 3, 2013
by
rvidyagovindarajan_1
1
answer
The position vector of a point $P$ is given by $\overrightarrow r=x\hat i+y\hat j+z\hat k$, where $x,y,z\in N$. Position vector of point A is given by $\overrightarrow a=\hat i+\hat j+\hat k$. How many points P are possible so that $\overrightarrow r.\overrightarrow a=5$ ?
jeemain
math
class11
ch7
permutations-and-combinations
fundamental-principle-of-counting
difficult
asked
Sep 3, 2013
by
rvidyagovindarajan_1
1
answer
In how many ways 9 identical marbles can be placed in 3 identical boxes?
jeemain
math
class11
ch7
permutations-and-combinations
fundamental-principle-of-counting
medium
asked
Sep 3, 2013
by
rvidyagovindarajan_1
1
answer
How many 7 digit numbers are there using the digits,1,2,3 and '2' should occur 2 times in each of the number?
jeemain
math
class11
ch7
permutations-and-combinations
combinations
medium
asked
Sep 3, 2013
by
rvidyagovindarajan_1
1
answer
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