Recent questions in Class11

In an examination a candidate has to pass in each of the four subjects. In how many ways he can fail?

asked Aug 13, 2013 by rvidyagovindarajan_1

1 answer

At an election a voter may vote for any no. of candidates but not greater than the number to be elected. There are 10 candidates and 4 are to be elected. If every voter votes for atleast one candidate, then no. of ways in which a voter can vote is?

asked Aug 13, 2013 by rvidyagovindarajan_1

1 answer

The no. of positive integers satisfying the inequation $^{n+1}C_{n-2}-^{n+1}C_{n-1}\leq 50$ is ?

asked Aug 13, 2013 by rvidyagovindarajan_1

1 answer

If one person shakes hand with another only once,the no. of hand shakes is 66. How many persons are there?

asked Aug 13, 2013 by rvidyagovindarajan_1

1 answer

A polygon has 44 diagonals. The no. of sides of the polygon = ?

asked Aug 13, 2013 by rvidyagovindarajan_1

1 answer

The no. of 7 digit numbers that can be formed using the digits $1,2,3,2,3,3,4$ is?

asked Aug 13, 2013 by rvidyagovindarajan_1

1 answer

The no. of ways in which 6 persons can be seated in a circular table so that two particular persons are never together is?

asked Aug 13, 2013 by rvidyagovindarajan_1

1 answer

$^{50}C_4+\sum\limits^{6}_{r=1}$$ ^{56-r}C_3=?$

asked Aug 13, 2013 by rvidyagovindarajan_1

1 answer

The no. of ways in which 6 men and 5 women can sit at a round table so that no two women sit together is?

asked Aug 13, 2013 by rvidyagovindarajan_1

1 answer

There are $10$ lamps in a hall. Each of them can be switched on independently. The no. of ways in which the hall can be illuminated is?

asked Aug 13, 2013 by rvidyagovindarajan_1

1 answer

If $T_n$ denotes no. of triangles formed by the vertices of a regular $n$ sided polygon and if $T_{n+1}-T_n=21$, then $n=?$

asked Aug 13, 2013 by rvidyagovindarajan_1

1 answer

The no. of diagonals of $n$ sided polygon =?

asked Aug 13, 2013 by rvidyagovindarajan_1

1 answer

1.1! + 2.2! + 3.3! + ......... + n.n! = ?

asked Aug 13, 2013 by rvidyagovindarajan_1

1 answer

What is the 7th word in the arrangement of the permuted words formed by the letters of the word 'SWISS' as per the alphabetical order as in dictionary?

asked Aug 12, 2013 by rvidyagovindarajan_1

1 answer

The no. of arrangements of the letters of the word 'BANANA' in which the 2 $N^s$ do not come adjacently is?

asked Aug 12, 2013 by rvidyagovindarajan_1

1 answer

The no. of arrangements of the letters of the word 'BANANA' in which the 2 $n^s$ do not come adjacently is?

asked Aug 12, 2013 by rvidyagovindarajan_1

0 answers

The letters of the word 'COCHIN' are permuted and all the permutations are arranged in alphabetical order as in Dictionary. The no. of words that appear before the word 'COCHIN' is?

asked Aug 12, 2013 by rvidyagovindarajan_1

1 answer

There are 12 points in plane out of which 5 points are collinear. How many different lines can be drawn using these points?

asked Aug 12, 2013 by rvidyagovindarajan_1

1 answer

There are 12 points in a plane out of which 7 points lie on a st. line (collinear). How many triangles can be formed using these points as vertices?

asked Aug 12, 2013 by rvidyagovindarajan_1

1 answer

The total no. of ways in which 5 balls of different colours can be distributed among 3 persons so that each person gets atleast one ball is ?

asked Aug 12, 2013 by rvidyagovindarajan_1

1 answer

Four couples (husband and wife) decide to form a committee of 4 members. How many ways this can be done so that no couple finds a place.

asked Aug 11, 2013 by rvidyagovindarajan_1

1 answer

The number of positive integral solutions of the equation $xyz=30$ is ?

asked Aug 11, 2013 by rvidyagovindarajan_1

1 answer

The studens of a class take a test having 10 questions of true or false objective type questions. No two students answer are same. None of the students has got all the answers correct. How many students are there in the class.

asked Aug 9, 2013 by rvidyagovindarajan_1

1 answer

The number of seven digit integers whose sum of the digits is ten, formed by using the digits 1, 2 and 3 only is

asked Aug 9, 2013 by rvidyagovindarajan_1

1 answer

There are two urns. Urn A has 3 distinct red balls and Urn B has 9 distinct blue balls. From each urn two balls are drawn at random and then transfered to other. The no. of ways in which this can be done is?

asked Aug 9, 2013 by rvidyagovindarajan_1

1 answer

A student is to answer $10$ questions out of $13$ in an examination, so that he must choose at least $4$ from first $5$ questions. The no. of choices available to him is ?

asked Aug 8, 2013 by rvidyagovindarajan_1

1 answer

The smallest positive natural number $n$ such that $n!$ is divisible by $990$ is ?

asked Aug 8, 2013 by rvidyagovindarajan_1

1 answer

If $\large\frac{1}{a},\frac{1}{b},\frac{1}{c} $ are in A.P., then the equation $a(b-c)x^2+b(c-a)x+c(a-b)=0$ has

asked Aug 8, 2013 by rvidyagovindarajan_1

1 answer

If the ratio of the roots of $ax^2+bx+c=0$ is equal to the roots of the equation $ x^2+x+1=0$, then $a,b,c$ are in ?

asked Aug 8, 2013 by rvidyagovindarajan_1

1 answer

If $\alpha$ is the fifth root of unity, then the value of $log_2 |1+\alpha+\alpha^2+\alpha^3-\large\frac{1}{\alpha}$$|=?$

asked Aug 6, 2013 by rvidyagovindarajan_1

1 answer

If for any complex number $z$, $|z-1|=1$, then $\large\frac{z-2}{z}=?$

asked Aug 6, 2013 by rvidyagovindarajan_1

1 answer

If $|z+\overline z|+|z-\overline z|=8$ then $z$ lies on ?

asked Aug 6, 2013 by rvidyagovindarajan_1

1 answer

If $z_r(r=1,2,......7)$ are the roots of $(z_r+1)^7+z_r^7=0$, then $\sum\limits_{r=1}^{7} Re(z_r)=?$

asked Aug 6, 2013 by rvidyagovindarajan_1

1 answer

If $p,q\in \{1,2,3,4\},$ then the number of equations of the form $px^2+qx+1=0$ having real roots is?

asked Aug 6, 2013 by rvidyagovindarajan_1

1 answer

If $3+\sqrt 2 i$ is a root of of $x^2+px+q=0$, then $(p,q)=?$

asked Aug 6, 2013 by rvidyagovindarajan_1

1 answer

If $z$ is a complex number having non zero imaginary part and $z^2+z+1=a$ where $a$ is real, then $a$ cannot take which of the following values?

asked Aug 5, 2013 by rvidyagovindarajan_1

1 answer

The value of $b$ for which the eqns., $x^2+bx-1=0,\:x^2+x+b=0$ have one common root is

asked Aug 5, 2013 by rvidyagovindarajan_1

1 answer

If the eqns., $x^2-6x+a=0$ and $x^2-5x+6=0$ have one root in common and the other roots are in the ratio 4:3, then the common root is

asked Aug 5, 2013 by rvidyagovindarajan_1

1 answer

If $\cos\theta+2\cos\alpha+3\cos\beta=\sin\theta+2\sin\alpha+3\sin\beta=0$, then $\sin\;3\theta+8\sin\;3\alpha+27\sin\;3\beta=?$

asked Aug 2, 2013 by rvidyagovindarajan_1

1 answer

If $(\cos\alpha+i\sin\alpha)(\cos2\alpha+i\sin2\alpha)....(\cos n\alpha+i \sin n\alpha)$ = 1, then $\alpha$ = ?

asked Aug 2, 2013 by rvidyagovindarajan_1

1 answer

The common roots to the equations $z^3+2z^2+2z+1=0\:\:and\:\:z^{149}+z^{100}+1=0$ are

asked Aug 2, 2013 by rvidyagovindarajan_1

1 answer

For any complex number $z$, the minimum value of $|z|+|z-1|=?$

asked Aug 1, 2013 by rvidyagovindarajan_1

1 answer

The cube roots of $-1$ are?

asked Aug 1, 2013 by rvidyagovindarajan_1

1 answer

If $z_r=cos(\large\frac{\pi}{3^r})$$+isin(\large\frac{\pi}{3^r})$, where $r=1,2,3...........then \:\:z_1.z_2.z_3.....................\infty=?$

asked Aug 1, 2013 by rvidyagovindarajan_1

1 answer

If $a=\cos\alpha+i \sin\alpha$, $b=\cos\beta+i \sin\beta$, $c=\cos\gamma+i\sin\gamma$ and $\large\frac{b}{c}+\frac{c}{a}+\frac{a}{b}$ = 1, then $\cos(\beta-\gamma)+\cos(\gamma-\alpha)+\cos(\alpha-\beta)$ = ?

asked Aug 1, 2013 by rvidyagovindarajan_1

1 answer

If $R_e\bigg(\large\frac{z-8i}{z+6}\bigg)$$=0$, then $z$ lies in the curve

asked Aug 1, 2013 by rvidyagovindarajan_1

1 answer

If $n$ is a positive integer, then $(1+i)^n+(1-i)^n=?$

asked Jul 31, 2013 by rvidyagovindarajan_1

1 answer

$\large\frac{(cosx+isinx)(cosy+isiny)}{(cotu+i)(1+itanv)}=?$

asked Jul 31, 2013 by rvidyagovindarajan_1

1 answer

If $ \large\frac{3}{2+\cos\theta+i\sin\theta}=$$x+iy$, then $ (x-1)(x-3)=?$

asked Jul 31, 2013 by rvidyagovindarajan_1

1 answer

If $\omega$ is cube root of $1$ and $\alpha,\beta,\gamma$ are cube roots of $p$ , then for any real numbers $x,y,z$the value of $\large\frac{x\alpha+y\beta+z\gamma}{x\beta+y\gamma+z\alpha}$ is ?

asked Jul 28, 2013 by rvidyagovindarajan_1

1 answer

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