List of practice Questions

Find the missing number:
Given numbers 0.5, 2, (4)5, 8, 1(2)5, .........
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: \[ \text{Dividends refer to the distribution of money to \_ \_ \_ \_ .} \]
\( \frac{\sqrt{7} + \sqrt{5}}{\sqrt{7} - \sqrt{5}} + \frac{\sqrt{7} - \sqrt{5}}{\sqrt{7} + \sqrt{5}} = \)
When two dice are thrown, what is the probability of getting the sum 7?
A coin is tossed 6 times. What is the probability of getting head at least once?
What is the Geometric Mean of 12, 30, and 75?
What is the Harmonic Mean of 3, 4, 5, and 6?
The median of 260, 240, 210, 190, 180, 220, 230, 250 is
The arithmetic mean of some numbers is 18 and their median is 16. Then what is the mode?
The Standard Deviation of 2, 4, 6, 8, 10 is
The mean deviation of 3, 4, 5, 6, 7 is
P and Q are two sets such that \( n(P) = 3 \) and \( n(Q) = 4 \). A relation from \( P \) into \( Q \) is selected at random. What is the probability that the relation is not a function?
\[ \lim_{x \to \infty} 5 \left( 1 + \frac{4}{x} \right)^x = \]
If \( y = x(x - 1)(x - 2) \), then the derivative \( \frac{dy}{dx} \) is