Consider the circuit shown in the figure.



The value of v₀ (rounded off to one decimal place) is ______ V.

Consider two 16-point sequences x[n] and h[n]. Let the linear convolution of x[n] and h[n] be denoted by y[n], while z[n] denotes the 16-point inverse discrete Fourier transform (IDFT) of the product of the 16-point DFTs of x[n] and h[n]. The value(s) of k for which z[k] = y[k] is/are

The least number of squares that must be added so that the line P-Q becomes the line of symmetry is ______

Given below are two statements and two conclusions.

Statement 1 : All purple are green

Statement 2 : All black are green

Conclusion I : Some black are purple.

Conclusion II : No black is purple

Based on the above statements and conclusions, which one of the following options is logically CORRECT?

Corners are cut from an equilateral triangle to produce a regular convex hexagon as shown in the figure above.

The ratio of the area of the regular convex to the area of the original equilateral triangle is

Computers are ubiquitous. They are used to improve efficiency in almost all fields from agriculture to space exploration. Artificial intelligence (AI) is currently a hot topic AI enables computers to learn, given enough training data. For humans, sitting in front of a computer for long hours can lead to health issues.

Which of the following can be deducted from the above passage?

(i) Nowadays, computers are present in almost all places.

(ii) Computers cannot be used for solving problems in engineering

(iii) For humans, there are both positive and negative effects of using computers.

(iv) Artificial intelligence can be done without data.

Consider a square sheet of side 1 unit. In the first step, it is cut along the main diagonal to get two triangles. In the next step, one of the cut triangles is revolved about its short edge to form a solid cone. The volume of the resulting cone, in

p and q are positive integers and $${p \over q} + {q \over p} = 3$$, then $${{{p^2}} \over {{q^2}}} + {{{q^2}} \over {{p^2}}}$$ =

The number of minutes spent by two students, X and Y, excercising every day in a given week are shown in the bar chart above.

The number of days in the given week in which one of the students spent a minimum of 10% more than the other student, on a given day, is

Nostalgia is to anticipation as _____ is to _____.

Which one of the following options maintains a similar logical relation in the above sentence?

The current population of a city is 11,02,500. If it has been increasing at the rate of 5% per annum, what was its population 2 yeas ago?

Consider the following sentences :

(i) I woke up from sleep.

(ii) I woked up from sleep

(iii) I was woken up from sleep

(iv) I was wokened up from sleep.

Which of the above sentences are grammatically correct?