List of top Mathematics Questions

In a 1000 m race. A beats B by 50 meters or 10 seconds. The time taken by A to complete the race is :

If x = 4t², \(y=\frac{3}{t^3}\), then \(\frac{d^2y}{dx^2}\) at t = 1 is :

In a binomial distribution, the probability of getting a success is \(\frac{1}{3}\) and the standard deviation is 4. Then its mean is :

If \(3\begin{bmatrix} x&3\\2&1 \end{bmatrix}+4\begin{bmatrix} 1&2\\5&y \end{bmatrix}=\begin{bmatrix} 10&17\\26&11 \end{bmatrix}\)then the value of (3x+2y) is:

Match List I with List II

LIST I		LIST II
A.	The maximum value of the function \(f(x)=25x-\frac{5x^2}{2}+7\) in [-1,6] is	I.	24
B.	The minimum value of the function \(f(x)=2x^3-15x^2+36x+1\) in [1,5] is	II.	\(\frac{1}{16}\)
C.	The maximum value of the function \(f(x)=\frac{x}{2}-x^2\) in [0,1] is	III.	\(\frac{139}{2}\)
D.	The least value of the function \(f(x)=\frac{9}{x+3}+x\) in [-7,1], \(x\ne-3\) is	IV.	\(-\frac{37}{4}\)

Choose the correct answer from the options given below:

The probability distribution of a discrete random variable X is defined as:
\(P(X=x)=\begin{cases} 3kx & \text{for } x=1,2,3\\  5k(x+2) & \text{for } x=4,5 \\ 0& \text{otherwise}\end{cases}\)
The mean of the distribution is:

Consider the following hypothesis test
H₀: μ>=16
Η₁: μ < 16
A sample of 36 provided a sample mean of 15.4. The population standard deviation is 3. The value of the test statistic 't' is.

A random sample of size 9 has 21 as sample mean. The sum of the squares of the deviations taken from mean is 72. The sample is drawn from the population having 23 as mean. The value of test statistic is,

The maximum number of passengers an aeroplane can carry is 300. A profit of ₹1200 is made on each executive class ticket and a profit of ₹800 is made on each economy class ticket. The airline reserves atleast 40 seats for executive class. However, atleast 5 times as many passengers prefer to travel by economy class than by executive class. The maximum profit of the airline is:

If Laspeyre's index number is 225 and Paasche's index number is 144, then Fisher's ideal index number is:

The radius of the wheel of a vehicle is 35m. The wheel makes 10 revolutions in 6 seconds. The speed of the vehicle is :

Aman got 30% of the maximum marks in an examination and failed by 15% marks. However, Anil who took the same examination got 40% of the total marks and got 10 marks more than the passing marks. What were the passing marks in the examination ?

Akriti buys a smartphone for ₹ 12,500. If she wants to profit of 30%, how much should she charge for the smartphone ?

A pair of dice is thrown and sum of the numbers on two tosses is observed. Which of the statements are correct

Diameter of sphere is 28 cm. Find out its surface area ?

Which two numbers are both square and cube numbers ?

The following data are from a simple random sample: 1, 4, 7
The point estimate of the population standard deviation is:

If \(x = \frac{1}{t^2}\) and \(y =\frac{1}{t^3}\), then \(\frac{d^2y}{dx^2}\) at \(t=1\) is:

The solution of \(7x ≡ 3(mod 5)\) is:

Fisher's price index number is:

For the formula \(t= \frac{μ_1 - μ_2}{\sqrt {\frac{S_1^2}{n_1}+\frac{S_2^2}{n_2}}}\) consider of the following statements:
A. \(μ_1\) and \(μ_2\) are sample mean and population mean respectively.
B. \(n_1\) and \(n_2\) are sample sizes of two samples from same population.
C. \(S_1\) and \(S_2\) are sample means of two samples from same population.
D. \(S_1\) and \(S_2\) are standard error of two samples from same population.
E. \(n_1\) is the sample size and \(n_2\) is the population size.
Choose the correct answer from the options given below:

Two pipes A and B can fill a cistern in 15 minutes and 30 minutes respectively. Both pipes are opened together, but after 5 minute pipe B is turned off. The cistern will be full in total:

A motor boat covers 36 km downstream and 24 km upstream. If the boat takes 6 hours to cover each distance, then the speed of the motor boat in still water is.

For the data

The weighted price index number is:

If \(\vec x\) and \(\vec y\) are two collinear vectors, then which of the following are incorrect?