List of top Mathematics Questions

Company C sells a line of 25 products with an average retail price of Rs 1,200. If none of these products sells for less than Rs 420 and exactly 10 of the products sell for less than Rs 1,000, then what is the greatest possible selling price of the most expensive product?
Profits of a business are distributed among three partners A, B and C in such a way that 4 times the amount received by A is equal to 6 times the amount received by B and 11 times the amount received by C. The ratio in which the three received the amount is
Population of a district is 2,96,000 of which 1,66,000 are males. \(50\%\) of the population is literate. If \(70\%\) males are literate, then the number of women who are literate, is
A shopkeeper marks up his goods to gain \(35\%\). But he allows \(10\%\) discount for cash payment. His profit on the cash transaction therefore, in percentage, is
A sink contains exactly 12 litres of water. If water is drained from the sink until it holds exactly 6 litres of water less than the quantity drained away, then how many litres of water were drained away?
A school has 4 sections of Chemistry in Class X having 40, 35, 45 and 42 students. The mean marks obtained in Chemistry test are 50, 60, 55 and 45 respectively for the 4 sections. Determine the overall average of marks per student.
The average score of boys in an examination of a school is 71 and that of girls is 73. The average score of the school in that examination is 71.8. Find the ratio of the number of boys to the number of girls that appeared in the examination.
At a point on level ground, the angle of elevation of a vertical tower is found to be such that its tangent is \(\frac{5}{12}\). On walking 192 metres towards the tower, the tangent of the angle of elevation is \(\frac{3}{4}\). The height of the tower is
A plane left 30 minutes later than the scheduled time and in order to reach the destination 1500 km away in time, it had to increase the speed by 250 km/hr from the usual speed. Find its usual speed.
Students of a class are made to stand in rows. If 4 students are extra in each row, then there would be 2 rows less. If 4 students are less in each row, then there would be 4 more rows. The number of students in the class is
A subset of the additive group of real numbers which is not a sub group is
A circular sector of perimeter $60$ metre with maximum area is to be constructed. The radius of the circular arc in metre must be
The value of $\frac{\sin 85^{\circ}-\sin 35^{\circ}}{\cos 65^{\circ}} $ is :
The number of points at which $f(x) = 3 + 2\, \, \, \sin x$ has maximum in the interval $\left( - \frac{11 \pi}{2} , 100 \pi \right)$ is
If $O(A) = 2 \times 3, O (B) = 3 \times 2$, and $O(C) = 3 \times 3$, which one of the following is not defined.
The ends of the latus rectum of the conic \(x^ 2 + 10x - 16y + 25 = 0\) are
If $a, b$ and $c \in N$ which one of the following is not true ?
If $a | (b + c)$ and $a| (b-c)$ where $a,b,c \in \, N $ then
If the area of the parallelogram with \(\vec {a}\) and \(\vec {b}\) as two adjacent sides is \(15\, sq.\space units\),then the area of the parallelogram having \(3\vec {a}+2\vec {b}\) and \(\vec{a}+3\vec {b}\) as two adjacent sides in sq. unit is
If $a > b > 0$, then the value of $Tan^{-1} \left(\frac{a}{b}\right)+Tan^{-1}\left(\frac {a+b}{a-b}\right) $
The remainder obtained when $(\lfloor 1)^2 + (\lfloor 2)^2 + (\lfloor 3)^2 + ... + (\lfloor 100)^2$ is divided by $10^2$ is ;
The projection of $\vec{a} = 5\hat{i} - \hat{j} + 3 \hat{k}$ on $\vec{b} = 2 \hat{i} + \hat{j} - \hat{k}$ is
In a triangle $ABC$ if $\begin{vmatrix}1&a&b\\ 1&c&a\\ 1&b&c\end{vmatrix} = 0$, then $\sin^2 A + \sin^2 B + \sin^2 C = $
If the area of triangle formed by the points $(\alpha, 0), (0, 1)$ and $(-1, 0)$ is 20 s units, then $\alpha$ is
The area of the triangle whose vertices are $A = (1, -1, 2), B = (2, 1, -1)$ and $C = (3, -1, 2)$ is