List of top Mathematics Questions

A set of goods together cost Rs. 1,000. One-fourth of it was sold at a loss of 10%. At what per cent must the remainder be sold to gain 20% on the whole investment?
To complete a piece of work, A and B take 30 days, B and C take 24 days and C and A take 20 days. They all workfor 10 days, and then B and C leave. How many more days will A take to finish the work?
There are two squares one of whose diagonal is double that of the other. The ratio of area of the bigger one to that of the smaller one is
The ratio of the ages of Anjali and Smita is 2 : 3. After 6 years the ratio of their ages becomes 5 : 7. What is the present age of Smita?

If a sum of money is divided equally among n children, each child will receive \(\$ 60\). If another child is added to the group, and the sum is divided equally among all the children, each child receives a \(\$50\) share. What is the sum of money?

One-fifth of the boys and one-fourth of the girls in a class exclusively joined a swimming camp. Two-thirds of boys and three-fifths of girls exclusively joined a sports camp. If the total number of boys and girls in the class is 65, how many girls joined the sports camp?
Bucket P has thrice the capacity as bucket Q. It takes 60 turns for bucket P to fill the empty drum. How many turns will it take for both the buckets P and Q together to fill the empty drum?
Anand and Bharat can cut 5 kg ofwood in 20 min. Bharat and Chandra can cut 5 kg of wood in 40 min. Chandra and Anand cut 5 kg of wood in 30 min. How much time Chandra will take to cut 5 kg wood alone?
x is a whole number. If the only common factors of x and x² are 1 and x, then x is
The captain of a cricket team of 11 players is 25-year old and the wicketkeeper is 3 years older than the captain. If the ages of these two are excluded, the average age of the remaining players is 1 year less than the average age of the whole team. What is the average age of the whole team?
A man rows 1 km upstream in 20 min and 1 km downstream in 15 min. What is his speed of rowing in still water?
The rate of simple interest on a sum ofmoney is 6 per cent per annum for the first 3 years, 8 per cent per annum for the next 5 years and 10 per cent per annum for the period beyond 8 years. If the simple interest accrued by the sum for a total period of 10 years is Rs. 1,560, what is the sum?
The radius of a circle is equal to the length of one side of an equilateral triangle. If the perimeter of the triangle is 3 cm what is the ratio of the area of the triangle to that of the circle?
In a group of 7 people, the average age is found to be 17 years. TWO more people joined with an average age 19 years. One person left the group whose age was 25 years. What is the new average age of the group?
The sum $1+\frac{1+a}{2!} + \frac{1+a+a^{2}}{3!} + ... \infty $ is equal to
A group of students volunteered to finish a work in 25 days. 10 of the students did not turn up due to illness and the work was finished in 35 days. The original number of students in the group was
If a perpendicular drawn through the vertex O of the parabola $y^2=4ax $ to any of its tangent meets the tangent at N and the parabola at M. then ON-OM =
The constant term in the expansion of $\left(x^2 - \frac{1}{x^2} \right)^{16}$ is
If $\frac{x^{4} + 24 x^{2} + 28}{\left(x^{2} + 1\right)^{3}} = \frac{A }{\left(x^{2} + 1\right)} + \frac{B}{\left(x^{2} + 1\right)^{2}} + \frac{C}{\left(x^{2} + 1\right)^{3}} $ then $A + C = $
The maximum area of a rectangle inscribed in the circle $(x + 1)^2 + (y - 3)^2 = 64$ is
A straight line through a fixed point $(2, 3)$ intersects the coordinate axes at distinct points $P$ and $Q$. If $O$ is the origin and the rectangle $OPRQ$ is completed, then the locus of $R$ is:
Two parabolas with a common vertex and with axes along x-axis and y-axis, respectively, intersect each other in the first quadrant. If the length of the latus rectum of each parabola is 3, then the equation of the common tangent to the two parabolas is :

\(\text{If} \begin{vmatrix} 1 & x & x^2 \\ x & x^2 & 1 \\ x^2 & 1 & x \end{vmatrix} = 7\ \text{and}\ \triangle = \begin{vmatrix} x^3 - 1 & 0 & x - x^4 \\ 0 & x - x^3 & x^3 - 1 \\ x - x^4 & x^3 - 1 & 0 \end{vmatrix}, \text{then}\)

\[\text{If}\ \triangle = \begin{vmatrix} 3 & 4 & 5 & x \\ 4 & 5 & 6 & y \\ 5 & 6 & 7 & z \\ x & y & z & 0 \end{vmatrix} = 0\]

If \((4 , 3 , 2)\begin{pmatrix} 1 \\ -2 \\ x \end{pmatrix} = (6)\) then \(x\) is