List of practice Questions

A boat man finds that he can save 8 s in crossing a river by quickest path than by the shortest path. If the velocity of the boat and the river flow are 13 m/s and 12 m/s respectively, then the width of the river is:

A cannon placed on a cliff at a height of 375 m fires a cannonball with a velocity of 100 m/s$^{-1}$ at an angle of 30Â° above the horizontal. The horizontal distance between the cannon and the target is:
(Acceleration due to gravity $ g = 10 $ ms$^{-2}$)

In the circuit shown below, the Zener diode is ideal and Zener voltage is 6V. The output voltage $ V_o $ (in volts) is

उचित वर्तनी युक्त शब्द का चयन कीजिए।

Where the peasants are so crushed and fear-stricken, law courts are useless. (\textit{Indigo})
As a motivational speaker, give a speech advising students how to overcome fear and lead a successful life. Use material from the two texts to support your views.
You may begin like this: \textit{Dear Students, The emotion of fear will always interfere and interrupt your path to successâ€¦}

If $ x - 2y - 6 = 0 $ is a normal to the circle $ x^2 + y^2 + 2gx + 2fy - 8 = 0 $ and the line $ y = 2 $ touches this circle, then the radius of the circle can be:

Find the perpendicular unit vectors on the vectors \[ \mathbf{a} = 2\hat{i} - \hat{j} + \hat{k} \quad \text{and} \quad \mathbf{b} = 3\hat{i} + 4\hat{j} - \hat{k} \] and find the sine of the angle between them.

The output (Y) of the given logic gate is similar to the output of an/a :

The storage of 1024 KB in binary means ______ number of bytes.

Who is the leader of the ruling party in the Lok Sabha in India?

For the sentence [Li knows [CP₁ that you believe [CP₂ that Mo thinks CP₃ that Jo likes Kai]]]. which of the following statements can be held to apply?

Fill in the blanks with the correct combination of tenses for the given sentence: Darwin's work (i) _____ a related effect that (ii) _______ influenced the development of environmental politics - a 'decentering' of the human being.

Which of the following sentences is punctuated correctly?

The appropriate synonym for the word 'ignite' in the following passage will be:

Spirituality must be integrated with education. Self-realization is the focus. Each one of us must become aware of our higher self. We are links of a great past to a grand future. We should ignite our dormant inner energy and let it guide our lives. The radiance of such minds embarked on constructive endeavor will bring peace, prosperity and bliss to this nation.

Fill in the blanks by choosing the correct sequence for the following passage:

I am wearing for the first time some (i)______ that I have never been able to wear for long at a time, as they are horribly tight. I usually put them on just before giving a lecture. The painful pressure they exert on my feet goads my oratorical capacities to their utmost. This sharp and overwhelming pain makes me sing like a nightingale or like one of those Neapolitan singers who also wear (ii) _______ that are too tight. The visceral physical longing, the overwhelming torture provoked by my (iii)_______, forces me to extract from words distilled and sublime truths, generalized by the supreme inquisition of the pain my (iv) _______suffer.

Amma's tone in the context of the given passage is that of:
For Amma, the difference between men and women was a kind of discrimination and inequality; she felt strongly about women's rights but was not familiar with concepts like gender and patriarchy. She would have dismissed Betty Friedan because she was predominantly dealing with the problems of white middle-class women in the United States. Amma, and women of her generation, could de-link the oppression of women from the wider struggle for the liberation of human beings from class exploitation and imperialism. So Amma continued to play her role as mother and wife, but would often complain: 'I am a doormat on which everyone wipes their emotional dirt off'.

In the $4\times 4$ array shown, each cell of the first three columns has either a cross (X) or a number as per the rule:

A number equals the count of crosses in its $8$ neighboring cells (left, right, top, bottom, and diagonals). The fourth column is empty. As per this rule, the maximum number of crosses possible in the empty column is