List of top Mathematics Questions

If the rate of annual simple interest is \(11\frac{1}{2}\%\) , then how much money need to be deposited 2 to have ₹ 8,906 in total after 4 years?

The mean of coefficients of x, x2, ....., x7 in the binomial expansion of (2 + x)9 is?

The produce of a square field when sold at the rate of Rs. 1.50 per 100 sq. meters fetches Rs. 1350. What will be the cost of putting a fence all-round the field at the rate of 50 paise per meter?
Let S be the set of all twice differentiable functions f from R to R such that \(\frac{d^2f}{dx^2}(x)>0\) for all x∈(-1,1). For f∈S, let Xf be the number of points x∈(-1,1) for which f(x)=x.Then which of the following statements is(are) true? 
Let M=(aij), i,j∈{1,2,3}, be the 3×3 matrix such that aij=1 if j+1 is divisible by i,otherwise aij=0. Then which of the following statements is(are) true? 

Let the position vectors of the points P, Q, R and S be
\(\vec{a}=\hat{i}+2\hat{j}-5\hat{k}\), \(\vec{b}=3\hat{i}+6\hat{j}+3\hat{k}\), \(\vec{c}=\frac{17}{5}\hat{i}+\frac{16}{5}\hat{j}+7\hat{k}\) and \(\vec{d}=2\hat{i}+\hat{j}+\hat{k}\)
respectively. Then which of the following statements is true?

Consider an experiment of tossing a coin repeatedly until the outcomes of two consecutive tosses are the same. If the probability of a random toss resulting in a head is \(\frac{1}{3}\), then the probability that the experiment stops with the head is

If [x+6]+[x+3] ≤ 7 and let call its solution as set A and set B is the solution of inequality 35x-8 < 3-3x.

A window is in the form of a rectangle surmounted by a semicircle. Perimeter of the window is 4.6m and height of the rectangular portion is 0.5m, then find the radius of the semicircular portion. (Take \(\pi=\frac{22}{7}\))
The speeds of A and B are in the ratio 3:4. A takes 20 minutes more than B to reach the destination. In what time does A reach the distination?
The average of 5 consecutive positive integers starting with m is n. What is the average of 6 consecutive positive integers starting with (m+2)?
A vegetable vendor buys 100kg tomatoes at the rate of Rs18 and spent Rs120 as cartage. He sells 80Kg tomatoes at Rs25/kg and 16kg tomatoes at Rs20/kg. Remaining tomatoes got rotten and could not be sold. Find his profit percentage (correct to one decimal place)
Two pipes A and B can fill a tank in 15 minutes and 20 minutes respectively. Both the pipes are opened together but after 4 minutes, pipe A is turned off. What is the total time taken to fill the tank?
Jayant invested a sum of Rs. 65,000 in two schemes and received Rs.7275 as interest after 2 years. In scheme I simple interest is payable at 6% per annum and in scheme II compound interest is payable at 5% per annum Find the ratio of sums he invested in scheme I and scheme II.
When a painted cube is cut into 125 small identical cubes, how many smaller cubes have no face painted?
A large cube is formed by melting three solid metallic cubes of sides 3cm, 4cm and 5cm respectively. What is the ratio of the sum of the surface areas of the given cubes and that of the new cube?
Which of the following is a relative measure of dispersion?
If \(m = 2\), \(n = 3\), then the value of \(12m^2n-3mn^2\) is:
Find the inverse of each of the matrices,if it exists. \(\begin{bmatrix} 2 &  3\\ 5 & 7 \end{bmatrix}\)
Find the average of first five multiples of 3 and first five multiples of 5.
A person bought mangoes at the rate of 45 for 10 mangoes. Then he sold them at the rate of ₹ 60 for a dozen mangoes. What will be his profit or loss percentage ?
If \(0.2\bar{45}=\frac{p}{q}\) , where p, q are integers and q ≠ 0, then \(\frac{p}{q}\) = ?
From a pack of 52 cards, one card is drawn at random. What is the probability that the card drawn is a ten or a spade?
A hyperbola has ____ vertices and ___foci.
Rhombus of side 6 cm has an angle equal to the external angle of a regular octagon. Find the area of the rhombus.