List of practice Questions

Which of the following statements are correct?
(A) All mirrors follow the laws of reflection.
(B) The angle between the ray of incidence and the plane surface of the mirror is equal to the angle between the plane surface of mirror and the ray of reflection for plane mirror
(C) the rays coming parallel to the principal axis will go after reflection through the focus of the curved mirror
(D) the rays coming to the pole of a curved mirror making an angle with axis will be reflected making the equal angle with the axis on the other side of the axis.
Choose the correct answer from the options given below:
What is the solution to the differential equation \( \frac{dy}{dx} = \frac{y}{x} \) with the initial condition \( y(1) = 2 \)?
In an arithmetic progression, if \( S_{40} = 1030 \) and \( S_{12} = 57 \), then \( S_{30} - S_{10} \) is equal to:
If the probability that the random variable X takes the value x is given by \( P(X = x) = k(x + 1)3^{-x} \), \( x = 0, 1, 2, 3, ... \), where k is a constant, then \( P(X \ge 3) \) is equal to
The line $ L_1 $ is parallel to the vector $ \mathbf{a} = -3\hat{i} + 2\hat{j} + 4\hat{k} $ and passes through the point $ (7, 6, 2) $, and the line $ L_2 $ is parallel to the vector $ \mathbf{b} = 2\hat{i} + \hat{j} + 3\hat{k} $ and passes through the point $ (5, 3, 4) $. The shortest distance between the lines $ L_1 $ and $ L_2 $ is:
According to the passage, what was Stanley?
The word absurdity is closest in meaning to:
Choose the word that correctly fills the blank:
'The government has taken steps to _ _ the situation.'
The idiom 'To confess without reserve' best describes which phrase?
Read the sentence and identify the grammatical error:
'This is one of the most interesting book I have ever read.'
Which is the correct synonym for Fatalist?
Which of the following best describes what modern robots have done to the job market?
Which of the following is NOT mentioned as an application of robots?
The idiom/proverb 'To pick holes' means:
The idiom 'gift horse in the mouth' (usually 'look a gift horse in the mouth') means:
Rearrange the following five sentences to form a meaningful paragraph:
1. After examining him... 2. Thinking he was really sick... 3. That day, Mintu wanted... 4. Immediately, Mintu jumped up... 5. Therefore, he pretended...
Arrange the sentences in a logical order:
A. As officials... B. Ambassadors have to... C. To say what they feel... D. So, with ambassadors... E. They do a specialized job...
Arrange sentences in logical order:
A. "This face-off..." B. During the past... C. The recent revival... D. State governments allege... E. Shrill alarm about...
Select the correct synonym of the word: Haughty
Select the correct antonym of the word: Calmness
What does the word attenuate mean?
A rectangular paper folded in two has perimeter 34 cm (one direction) and 38 cm (other direction). What is the area of the paper?
Two pipes can fill a tank in 20 minutes and 30 minutes respectively. Both pipes are opened together but after 5 minutes the first is closed. How long will it take to fill the remaining tank?
According to the passage, which of the following best describes the paradox in the Indian middle class?
Why don't teachers figure high on the corruption list?