List of top Mathematics Questions

It takes 30 minutes to empty a half-full tank by draining it at a constant rate. It is decided to simultaneously pump water into the half-full tank while draining it. What is the rate at which water has to be pumped in so that it gets filled in 10 minutes ?
In the summer of 2012, in New Delhi, the mean temperature of Monday to Wednesday was 41° C and of Tuesday to Thursday was 43°C If the temperature on Thursday was 15% higher than that of Monday, then the temperature in °C on Thursday was
Taxi charges in a city consists of fixed charges and remaining depending upon the distance travelled in kilometers. If a person travels 70 kms, he pays ₹1,130 and for travelling 100 kms, he pays ₹1,550. Find the charges for travelling 140 kms.
Amit started a shop by investing ₹5,00,000. In the first year he incurred a loss of 5%. However, during the second year he earned a profit of 10% which in the third year rose to 12%. Calculate his % Profit.
A sum invested at compound interest amounts to ₹8,800 in 1 year and to ₹10,648 in 3 years. Calculate the rate percent and the sum.
If the price of sugar increased by 25%, by how much percent a housewife should reduce the consumption so as not to increase the expenditure.
A, B and C can finish a piece of work in 12, 15 and 20 days respectively. If all the three work at it together and they are paid ₹ 9,600 for the whole work, what is B’s share ?
If \[ \begin{bmatrix} x + y + z \\ x + y \\ y + z \end{bmatrix} = \begin{bmatrix} 9 \\ 5 \\ 7 \end{bmatrix} \] then the value of \((x, y, z)\) is:
The value of \[ \cos^2 x + \cos^2 \left(x + \frac\pi3\right) + \cos^2 \left(x - \frac\pi3\right) \] is:
There are 5 pairs of shoes in a cupboard from which 4 shoes are picked at random. The probability that there is at least one pair is:
If the equation of a circle is $(4a - 3)^2 x^2 + a^2 y^2 + 6x - 2y + 2 = 0$, then its centre is:
In how many ways can the letters of the word "CORPORATION" be arranged so that vowels always occupy even places?
Focus of the parabola \(y^2 - 8x - 32 = 0\) is:
A frequency distribution can be presented graphically by a:
If the coefficient of variation and mean of a frequency distribution are 5% and 125 respectively, then the standard deviation is:
The length of the transverse axis of the hyperbola \(3x^2 - 4y^2 = 32\) is:
If eccentricity \(e = \frac13\), then the ratio of the major axis to the minor axis of the ellipse is:
The value of \(\cos \left( \frac12 \cos^-1 \frac18 \right)\) is:
In how many ways can we form a garland using 6 different flowers?
If \(\tan \theta = \frac12\) and \(\tan \phi = \frac13\) then the value of \(\theta + \phi\) is:
The value of \(\cos 1^\circ \cos 2^\circ \cos 3^\circ s \cos 180^\circ\) is:
If the angle between two lines is \(\frac\pi4\) and slope of one of the lines is \(\frac12\), then the slope of the other line is:
If \(2 \tan^-1 (\cos x) = \tan^-1 (2 \csc x)\) then the value of \(x\) is:
The inverse of a symmetric matrix is a:
The circumference of the circle \(x^2 + y^2 - 18x - 16y + 120 = 0\) is: