List of top Questions asked in NATA

A square is drawn on 1^st quadrant of XY plane having consecutive coordinates (counter - clockwise, starting from left bottom) as P(2,3), Q(7,3), R(7,8), S(2,8) respectively. Thereafter, each side of the square is doubled considering P as a fixed point and the new square becomes PQ'R'S'. Now this new square is mirrored with respect to X axis. What will be the coordinates for the image of R'?

How many bricks of dimension 20 cm × 10 cm × 10 cm are required to build a wall 12 m long, 3 m high and 30 cm wide, if 10% of the wall is comprised of mortar?

A square paper is folded as shown in the figure (above). A circular hole is created in the triangular portion. Now the paper is unfolded. What will be the right diagram?

A heavy ladder resting in the floor and against a vertical wall may not be in equilibrium if

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

The angle which an inclined plane makes with the horizontal when a body placed on it is about to slide down is known as angle of

A horizontal supporting crosspiece over an opening is called

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

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

The linear scale of a map is 1 cm = 2 m. The drawing dimensions of an on-site rectangular plot measuring 25 m × 40 m will be

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 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:

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

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

The type of roof suitable in plains where rainfall is meagre and temperature is high is

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

Unscramble and find the odd one among the following

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:

Choose the appropriate shadow pattern of this cube (below) at 3:00 p.m. in India.

What is Texture?

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

When a clock is seen through a mirror, the hour arm and minute arm are seen at 9 and 4 respectively, so that the time seen is 9:20. What will be the actual time after 15 minutes?

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?

Derivative of sinx with respect to cosx is