List of practice Questions

Find the Missing Number:
Given sequence 6, 12, 20, 30, 42, ..........
An object moving along horizontal x-direction with kinetic energy \(10 \, \text{J}\) is displaced through \(\mathbf{x} = (3\mathbf{i}) \, \text{m}\) by the force \(\mathbf{F} = (-2\mathbf{i} + 3\mathbf{j}) \, \text{N}\). The kinetic energy of the object at the end of the displacement \(\mathbf{x}\) is:
Find the Missing Number:
Given sequence 273, 264, 239, ....., 109, -12
Find the Missing Number:
Given sequence 9, 10, 16, 33, 8(3)5, ..........
Find the Missing Number:
Given sequence 1, 4, 27, 256, 3125, ..........
Find the Missing letter:
Given sequence aB, bB, cD, dD, .........
Find the Missing letter:
Given sequence R, U, X, A, D, .........
Find the missing number:
Given numbers 5, 10, 17, 26, 37, ...........
Find the missing number:
Given numbers 0.5, 2, (4)5, 8, 1(2)5, .........
Find the odd thing from the following:
(-2, -1), (2,5) are two vertices of a triangle and \( \left(2, \frac{5}{3} \right) \) is its orthocenter. If \( (m, n) \) is the third vertex of that triangle, then \( m+n = \):
The type of d-d transition of the electron occurs in \([Ti(H_2O)_6]^{3+}\) is:
If \( \sin(\theta) = \frac{15}{17} \), then for \( 0^\circ < \theta < 90^\circ \), \[ \frac{15 \cot(\theta) + 17 \sin(\theta)}{8 \tan(\theta) + 16 \sec(\theta)} \]
Evaluate the limit: \[ \lim_{x \to 0} \frac{\sqrt[3]{8 + x} - 2}{x}. \]
Evaluate the limit: \[ \lim_{x \to 2} \left[ \frac{1}{x - 2} - \frac{1}{x^2 - 3x + 2} \right]. \]
Choose the correct passive voice \[ \text{They asked me some difficult questions at the interview.} \]
Choose the indirect speech for the following: \[ \text{My friend said to me, "let's go to the gym."} \]
Choose the direct speech for the following: \[ \text{He said that he would pay her wages the next day.} \]
Choose the indirect speech for the following: \[ \text{She said, "I bought a house in Kakinada."} \]
Which term in the expansion of \( \left( x - \frac{1}{x^3} \right)^{40} \) is independent of \( x \)?
Fill in the blank with suitable word: \[ \text{Modern computers are very reliable but they are not \_ \_ \_ \_ .} \]
Fill in the blank with suitable word:
.............. is issued by the employer as proof of tax deducted by them only on income from employee's salary.
Fill in the blank with suitable word: \[ \text{Dividends refer to the distribution of money to \_ \_ \_ \_ .} \]
\( \frac{\sqrt{7} + \sqrt{5}}{\sqrt{7} - \sqrt{5}} + \frac{\sqrt{7} - \sqrt{5}}{\sqrt{7} + \sqrt{5}} = \)
A coin is tossed 6 times. What is the probability of getting head at least once?