NATA Mock Test - 9 - JEE MCQ

A stone is dropped from a height of 45 m on a horizontal level ground. There is horizontal wind blowing due to which horizontal acceleration of the stone becomes 10 m/s².(Take g = 10 m/s²).
The time taken (t) by stone to reach the ground and the net horizontal displacement (x) of the stone from the time it is dropped and till it reaches the ground are respectively

The combination of 'NAND' gates shown here (in figure), are equivalent to

If helium and methane are allowed to diffuse out of the container under the similar conditions of temperature and pressure, then the ratio of rate of diffusion of helium to methane is .

For a monatomic gas kinetic energy = E, the relation with rms velocity is

In this balanced equartion x, y, z are

Propyne and propene can be distinguished by

A piston is cleverly designed so that it extracts the maximum amount of work out of a chemical reaction, by matching P_external to the P_internal at all times. This 8cm diameter piston initially holds back 1 mol of gas occupying 1 L, and comes to rest after being pushed out a further 2 L at 25^oC .After exactly half of the work has been done, the piston has travelled out a total of

A vector of magnitude 9 and perpendicular to both the vectors 

If x = 9 is the chord of contact of the hyperbola x² - y² = 9, then the equation of the corresponding pair of tangents is

If α, β and γ are the angles which a directed line makes with the positive directions of the co-ordinates axes, then find the value of  sin²α + sin²β + sin²γ.

In an acute - angled triangle ABC, points D, E and F are the feet of the perpendiculars from A, B and C onto BC, AC and AB, respectively. H is the orthocentre of ΔABC. If sin A = 3/5 and BC = 39, then the length of AH is

The below question consists of problem figures and followed by four answer figures (A), (B), (C) and (D). Find out the figure from the answer figures which will continue the given series.

Explanations:

The below question consists of problem figures and followed by four answer figures (A), (B), (C) and (D). Find out the figure from the answer figures which will continue the given series.

Explanations: Circle and square are rotating in clockwise direction at an angle of 90∘

.Triangle is rotating in anticlockwise direction at an angle of 90∘

Choose the correct alternative in which only specified components of the key figure (X) are

Found.

Explanations:

Which one of the given set of figures violates the given rule?

Rule: Black elements are decreasing and white elements are increasing.

Explanations:

The below question consists of a related pair of figures (problem pair) and followed by four answer pairs marked as (A), (B), (C) and (D). Out of these four, three have relationship similar to that in the problem pair. Only one pair of figures does not have similar relationship. You have to select that pair of figures which does not have a relationship similar to that in the problem pair.

Explanations: The outermost element has changed its position to become the innermost element, and similarly, all the elements have changed their respective positions.

A clock is attached to a wall. Below the clock a mirror is placed. When seen through a mirror, the clock shows 6 : 45. The correct time is

Explanations: The correct time is 5:15

The below question consists of a question figure and followed by four figures (1), (2), (3) and (4), which show the possible water images of the question figure. Choose one out of these four figures which shows the correct water image of the question figure.

Explanations:

The below question consists of a question figure and followed by four figures (a), (b), (c) and (d). Choose one out of these four figures that can replace ‘?’ to complete the question figure.

Explanations:

In the below question, one or more dots are placed in the problem figure (X) followed by four alternatives (a), (b), (c) and (d). One out of these four alternatives contain region(s) common to the circle, square, triangle and rectangle similar to that marked by the dot in figure (X).

Explanations:

The below question consists of a unfolded dice in the left side and four choices (a), (b), (c) and (d) are given in the form of complete dices in the right side. You are required to select the correct answer choice which is formed by folding the unfolded dice.

Explanations:

A Clock is attached to a wall. Above the clock a mirror is placed. Looking into a mirror, the clock shows 3 : 20. The correct time is

Explanations:

The below question consists of a combination of alphabets and followed by four alternatives (a), (b), (c) and (d). Choose the alternative which is closely resembles the mirror image of the given combination.

Explanations:

Find the number of triangles in the given figure.

Explanations:

14 (small triangles) + 11(medium triangles) + 4(big

triangles) = 29

The below question consists of four figures a, b, c and d followed by a set of four alternatives A, B, C and D. Which of the combinations given below when fitted into each other would form a complete square?

Explanations:

The below question consists of a set of three figures K, L and M showing a sequence of folding of a piece of paper. Figure M shows the manner in which the folded paper has been cut. These three figures are followed by four figures (1), (2), (3) and (4) from which you have to choose a figure which would most closely resemble the unfolded form offigure M.

Explanations: