List of top Mathematics Questions

Out of $7$ consonants and $4$ vowels, the number of words (not necessarily meaningful) that can be made, each consisting of $3$ consonants and $2$ vowels, is

Out of 800 boys in a school. 224 played cricket, 240 played hockey and 336 played basket ball.of the total 64 played both basket ball and hockey ; 80 played cricket and basket ball and 40 played cricket and hockey, 24 played all the three games. The number of boys who did not play in any game is

Out of $100$ students; $15$ passed in English, $12$ passed in Mathematics, $8$ in Science, $6$ in English and Mathematics, $7$ in Mathematics and Science, $4$ in English and Science; $4$ in all the three passed. Then (i) The number of students passed in English and Mathematics but not in Science is (ii) The number of students only passed in Mathematics is (iii) The number of students passed in more than one subject is

One vertex of an equilateral triangle is $(2,3)$ and the equation of line opposite to the vertex is $x + y = 2$, then the equation of remaining two sides are

One of the points on the parabola $ y^2 = 12x $ with focal distance 12 is

One half percent of the population has a particular disease. A test is developed for the disease. The test gives a false positive $3\%$ of the time and a false negative $2\%$ of the time. What is the probability that Amit (a random person) tests positive?

One die and a coin (both unbiased) are tossed simultaneously. The probability of getting 5 on the top of the die and tail on the coin is

Of the number of three athletic teams in a school, $21$ are in the basketball team, $26$ in hockey team and $29$ in the football team. $14$ play hockey and basketball, $15$ play hockey and football, $12$ play football and basketball and $8$ play all the games. The total number of members is

Number of solutions of the equation $tanx + secx = 2cosx$ lying in the interval $[0,2\pi]$ is

Number greater than 1000 but less than 4000 is formed using the digits 0, 1, 2, 3, 4 (repetition allowed). Their number is

Normal at $(1, 1)$ on the curve $2y=9-x^2$ is

NOR gate is the series combination of

Negation of the conditional : " If it rains, I shall go to school" is.

Negation of "Paris is in France and London is in England" is.

$^{n}C_{r} + 2( {^{n}C_{r-1} }) + {^{n}C_{r-2}} $ is equal to:

$n(A) 3,n(B) = 2$ then the number of surjections from $A$ to $B$

Moment of couple is called

Maximum slope of the curve $y = -x^3 + 3x^2 + 9x - 27$ is

Locus of the point of intersection of perpendicular tangents to the circle $x^2 + y^2 = 16 $ is

Locus of centroid of the triangle whose vertices are $(a \cos \, t, a \sin \, t),(b \sin \, t,- b \cos \, t)$ and (1, 0), where t is a parameter, is

$ \lim_ {{x \to 0}} \frac { x.2^x-x} {1-cosx} $ is equal to

$ \lim_ {{x \to 0}} \frac {log\, cosx} {x} $ Is equal to

Let $z_1$ and $z_2$ be two complex numbers such that $z_1\neq z_2$ and $|z_1|\neq| z_2|$ . If $z_1$ has a positive real part and $z_2$ has negative imaginary part, then $\frac{z_1+z_2}{z_1+z_2}$ may be