List of top Mathematics Questions

A purse contains 4 copper coins and 3 silver coins, the second purse contains 6 copper coins and 2 silver coins. A coin is taken out from any purse. The probability that it is a copper coin is
A problem in mathematics is given to three students A, B, C and their respective probability of solving the problem is $\frac{1}{2}, \frac{1}{3}$ and $\frac{1}{4}$. Probability that the problem is solved is
$A$ point $R$ with $x$-coordinate $4$ lies on the line segment joining the points $P(2, -3,4)$ and $Q(8,0,10)$. Find the coordinates of the point $R$.
A plane meets the coordinate axes in points A, B, C and the centroid of the triangle ABC is $(\alpha, \beta, \gamma)$ . The equation of the plane is
$A$ plane is parallel to $yz$-plane so it is perpendicular to
A person has $2$ parents, $4$ grandparents, $8$ great grandparents, and so on. Find the number of his ancestors during the ten generations preceding his own.
A particular solution of the equation $\log\frac{dy}{dx}=3x+4y,y(0)=0$ is
A particle moves along the curve $6y = x^3 + 2$. The point $?P?$ on the curve at which the y-coordinate is changing 8 times as fast as the x-coordinate, are $(4, 11)$ and $\left(-4, -\frac{31}{3}\right).$
A body weighing $13\, kg$ is suspended by two strings 5 m and $12 \,m$ long, their other ends being fastened to the extremities of a rod $13\, m$ long. If the rod be so held that the body hangs immediately below the middle point. The tensions in the strings are
A pair of dice is rolled. If the outcome is a doublet, a coin is tossed. Then, the total number of outcomes for this experiment is
A natural number x is chosen at random from the first 100 natural numbers. Then the probability, for the equation $x+\frac{100}{x} > 50$ to be true is
A measure of dispersion is indicative of the reliability of
The value of $\left(A\cup B \cup C\right) \cap \left(A \cap B^{c} \cap C^{c}\right)^{c} \cap C^{c} $ , is
The number of elements in the set {$(a, b) : 2a^2 + 3b^2 = 35, a, b \in Z$}, where Z is the set of all integers, is
Let A, B, C be finite sets. Suppose that $n (A) = 10, n (B) = 15, n (C) = 20, n (A\cap B) = 8$ and $n (B\cap C) = 9$. Then the possible value of $n (A\cup B \cup C)$ is
In a town of 10,000 families it was found that 40% family buy newspaper A, 20% buy newspaper B and 10% families buy newspaper C, 5% families buy A and B, 3% buy B and C and 4% buy A and C. If 2% families buy all the three newspapers, then number of families which buy A only is
In a class of 80 students numbered a to 80, all odd numbered students opt of Cricket, students whose numbers are divisible by 5 opt for Football and those whose numbers are divisible by 7 opt for Hockey. The number of students who do not opt any of the three games, is
A market research group conducted a survey of $2000$ consumers and reported that $1720$ consumers like product $P_1$ and $1450$ consumers like product $P_2$. What is the least number that must have liked both the products?
The set A = {x : x $\in$ R, $x^2$ = 16 and 2x = 6} equals
At a certain conference of 100 people, there are 29 Indian women and 23 Indian men. Of these Indian people 4 are doctors and 24 are either men or doctors. There are no foreign doctors. How many foreigners and women doctors are attending the conference?
In a town of 10,000 families, it was found that 40% families buy newspaper A, 20% families buy newspaper B and 10% families buy newspaper C. 5% families buy A and B, 3% buy B and C and 4% buy A and C. If 2% families buy all the newspapers, then
A manufacturer has $600$ litres of a $12\%$ solution of acid. How many litres of a $30\%$ acid solution must be added to it so that acid content in the resulting mixture will be more than $15\%$ but less than $18\%$?
A man wants to cut three lengths from a single piece of board of length $91\, cm$. The second length is to be $3\, cm$ longer than the shortest and the third length is to be twice as long as the shortest. The possible length of the shortest board, if the third piece is to be at least $5\, cm$ longer than the second, is
A man is known to speak truth $3$ out of $4$ times. He throws a die and reports that it is a six. Find the probability that it is actually a six.
A line is drawn through the point (1,2) to meet the coordinate axes at P and Q such that it forms a triangle OPQ, where O is the origin. If the area of the triangle OPQ is least, then the slope of the line PQ is :