List of top Questions asked in NATA

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?

Which one of the following consumes least amount of electricity?

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:

A directional post is erected on a crossing. Due to heavy storm it turned in such a way that the arrow which was first showing South is now showing East. A car went in a direction thinking it is West. In what direction is the car actually moving?

In a project, the share of material and labour costing is 3:2. In the labour component, the electrician gets 5%. What is the total project cost if an electrician gets ₹25,000/-?

From a point O, two persons A and B started their journey on XY plane. A went 7 km. along north and stopped. B went 5 km west and then 5 km south and stopped. What is the shortest distance between A and B?

How many total number of triangles are there in the figure given below?

Nurse Merry has worked more night shifts in a row than Nurse Sujata, who has worked five. Nurse Ruma has worked fifteen night shifts in a row, more than Nurses Merry and Sujata combined. Nurse Priti has worked eight night shifts in a row, less than Nurse Merry. How many night shifts in a row has Nurse Merry worked?

Unscramble and find the odd one among the following

X is 1 km northeast of Y. Y is 1 km southeast of Z. W is 1 km west of Z. P is 1 km south of W. Q is 1 km east of P. What is the distance between X and Q in km?

A truncated (horizontally cut in mid-way) hexagonal pyramid has following numbers of surfaces, edges and vertices respectively.

Length of a solid diagonal of a cube is 6 cm. The volume of the cube is

The system of linear equations -2x+y+2=a, x-2y+z=b, x+y-2z=c have infinitely many solutions if

Let E and F be any two sets. Which of the following statements is NOT correct?

A set P has 20 elements. The number of subsets of P containing odd number of elements is

Let P={1, 3, 5, 7, 9} and R={(1, 3), (3, 5), (1, 5), (9, 7), (7, 5), (9, 5)}. Then R

If \( a, b, c \) are non-zero, then the number of solutions of \[\frac{2x^2}{a^2} - \frac{y^2}{b^2} - \frac{z^2}{c^2} = 0,\]\[-\frac{x^2}{a^2} + \frac{2y^2}{b^2} - \frac{z^2}{c^2} = 0\]is:

Let P={1,2,3} Q={2, 3, 4}. Then the number of elements in P×Q is

Value of the determinant \[\begin{vmatrix}1 & w & w^2 \\w & w^2 & 1 \\w^2 & 1 & w\end{vmatrix}\] where \( w \) is the cube root of unity is:

If \( A = \begin{bmatrix} -\frac{1}{\sqrt{2}} & \frac{1}{\sqrt{2}} & 0 \\ -\frac{1}{\sqrt{2}} & -\frac{1}{\sqrt{2}} & 0 \\ 0 & 0 & 1 \end{bmatrix} \), then \( A^{-1} \) is:

The number of solutions of the pair of equations \( 2 \sin^2 \theta - \cos 2\theta = 0 \) and \( 2 \cos^2 \theta - 3 \sin \theta = 0 \) in the interval \([0, 2\pi]\) is:

What secondary colour is obtained by mixing Blue and Red colours?

What is Texture?

Derivative of sinx with respect to cosx is