List of top Mathematics Questions asked in NATA

The value of \(\lambda\) for which the straight line (2x+3y+4)+\(\lambda\)(6x-y+12)=0 is parallel to y-axis is 

A point moves so that the sum of the squares of its distances from the six faces of a cube given by \( x = \pm 1 \), \( y = \pm 1 \), \( z = \pm 1 \) is 10 units. The locus of the point is:

Three cubes of side 2 cm are glued surface to surface horizontally such that it produces a cuboid. What is the surface area of the cuboid?

If \(^nc_7=^nc_4\), then the value of n is

\( m \) men and \( w \) women are to be seated in a row so that all women sit together. The number of ways in which they can be seated is:

Derivative of sinx with respect to cosx is

The degree and order of the differential equation \((\frac{d^3y}{dx^2})^2 +(\frac{dy}{dx})^4+y^3=0\) is

The monthly rate of sales for the first 11 months of the year of a certain salesman was ₹12,000. But due to his illness during the last month, the average sales for the whole year came down to ₹11,375. The value of the sale during the last month was

The probability that a man will live for 10 more years is 1/4 and the probability that his wife will live for 10 more years is 1/3. The probability that neither the husband nor the wife will be alive after 10 years is