List of top Applied Mathematics Questions asked in CBSE Class Twelve Board Exam

Give a linear equation that describes the computer system's book value at the end of \( t \)th year, where \( 0 \leq t \leq 3 \).
What is the rate of depreciation?
What will be the computer system's book value at the end of the first year and a half?
Assume an investment’s starting value is ₹ 20,000 and it grows to ₹ 50,000 in 3 years. Calculate CAGR (Compounded Annual Growth Rate).
[Use: \( (2.5)^{1/3} = 1.355 \)]
A container has 50 litres of juice in it. 5 litres of juice is taken out and is replaced by 5 litres of water. This process is repeated 4 more times. Determine the quantity of juice in the container after final replacement.
[Use \( (0.9)^5 = 0.59049 \)]
Given that the scores of a set of candidates on an IQ test are normally distributed, if the IQ test has a mean of 100 and a standard deviation of 10, determine the probability that a candidate who takes the test will score between 90 and 110.
[Given \( P(Z<1) = 0.8413 \) and \( P(Z<-1) = 0.1587 \)]
For testing the significance of the difference between the means of two independent samples, the degree of freedom (\( v \)) is taken as:
A mobile phone costs ₹ 12,000 and its scrap value after a useful life of 3 years is ₹ 3,000. Then, the book value of the mobile phone at the end of 2 years is:
If for a Poisson variate \( X \), \( P(X = k) = P(X = k + 1) \), then the variance of \( X \) is:
If the calculated value of \( |t|<t_v(\alpha) \) (critical value of \( t \)), then the null hypothesis:
If \( y = e^{-2x} \), then \( \frac{d^3y}{dx^3} \) is equal to:
If \( AB = A \) and \( BA = B \), then \( (B^2 + B) \) equals:
If \( x>y \) and \( z<0 \), then:
In a 1 km race, player P beats player Q by 18 metres or 9 seconds. What is P's time to complete the race?