List of top Mathematics Questions

If $ (1 + i) (1 + 2i) (1 + 3i) ..... (1 + ni) = x + iy,$ then $2\cdot 5 \cdot 10$ $(1 + n^2) =.......$
How many words beginning with T and ending with E can be made (with no letter repeated) out of the letters of the word 'TRIANGLE' ?
How many words can be formed from the letters of the word DOGMATIC, if all the vowels remain together :
How many terms of the $G.P$. $3, \frac{3}{2}, \frac{3}{4}, ...$ are needed to give the sum $\frac{3069}{512}$ ?
How many different words can be formed by jumbling the letters in the word in which no two $S$ are adjacent ?
Given three identical boxes $I$, $II$ and $III$ each containing two coins. In box $I$, both coins are gold coins, in box $II$, both are silver coins and in box $III$, there is one gold coin and one silver coin. $A$ person chooses a box at random and takes out a coin. If the coin is of gold, then what is the probability that the other coin in the box is also of gold?
Given $z=\frac{q+ir}{1+p}$ , then $\frac{p+iq}{1+r} =\frac{1+iz}{1-iz}$ if
Given that $p = \tan \, \alpha+ \tan \, \beta,$ and $q = \cot \, \alpha + \cot \, \beta$ ; then what is $\left( \frac{1}{p} - \frac{1}{q} \right)$ equal to ?
Given that $\tan \, \theta = m \neq 0, \tan \, 2 \theta = n \neq 0$ and $\tan \, \theta + \tan \, 2 \theta = \tan \, 3 \theta$, then which one of the following is correct ?
Given that $n$ is odd, the number of ways in which three numbers in $A$.$P$. can be selected from $1$, $2$, $3$, $4$, $.........n$ is
Given that $n A.M.'s$ are inserted between two sets of numbers $a, 2b$ and $2 a, b$, where $a, b \in R$. Suppose further that $mth$ mean between these sets of numbers is same, then the ratio, $a : b$ equals
Given $e = 2.72, e^2 =7.39 ,e^3 = 20.09 , e^4 = 54.60 $ the approximate value of $\int\limits_{0}^{4} e^x dx$ using Simpson?? rule and taking $h=1$ is
Given $4$ flags of different colours, how many different signals can be generated, if a signal requires the use of $2$ flags one below the other?
Given $5$ different green dyes, four different blue dyes and three different red dyes, the number of combinations of dyes which can be chosen taking atleast one green and one blue dye is
General solution as sin $x + \cos x = min [1, a^2 - 4a + 6]$ is $ a \in R$
From the top of a cliff 25 metres high, the angle of elevation of the top of a tower found to be equal to the angle of depression of the foot of the tower, then the height of the tower is.
From the origin, chords are drawn to the circle $(x - 1)^2 + y^2 = 1$, then equation of locus of middle points of these chords, is -
From a group of $5$ boys and $3$ girls three persons are chosen at random; Find the probability that there are more girls than boys
From a well shuffled pack of 52 playing cards, four are drawn at random. The probability that all are spades, but one is a king is
From a box containing 10 cards numbered 1 to 10, four cards are drawn together. The probability that their sum is even is
From $50$ students taking examinations in Mathematics, Physics and Chemistry, $37$ passed Mathematics, $24$ Physics and $43$ Chemistry. At most $19$ passed Mathematics and Physics, at most $29$ passed Mathematics and Chemistry and at most $20$ passed Physics and Chemistry. The largest possible number that could have passed all three examinations is
Four writers must write a book containing $17$ chapters. The first and third writer must write $5$ chapters each, the second writer must write $4$ chapters and fourth writer must write three chapters. The number of ways that can be found to divide the book between four writers, is
Four students of class X, five students of class XI and six students of class XII sit in a row. The number of ways, they can sit in a row so that students belonging to the same class are together is :
Four cards are drawn at random from a well shuffled pack of 52 playing cards. The probability that all the 4 are hearts, but one is a queen is
Four dice are rolled. The number of possible out comes in which at least one dice shows $2$ is