List of top Mathematics Questions

If \(7\) divides \(a^2\) then

In the formula \(log_a xy=log_a x+log_a y\), which of the following is true?

\(log_x2+log_x2^2+log_x2^3+………+ log_x2^n=\frac {n(n+1)}{2}\), then \(x=\)

\(log_xb-log_xa=log_xc-log_xb\)  \(∴ac=\)

5=

\(8x^2-6x-9=\) _____ .

A= {P, O, L, Y, T, E, C, H, N, I, Q), B= {P, O, L, Y, C, E, T, 2020), B-A=

If A={a}, B={a,b}, C={a,b,c}, then A∩B∩C=

Product of the polynomials \((x^3+8),(x-8)\) is denoted by \(p(x)=ax^4+bx^3+cx^2+dx+e\) then \(p(8)=\)

If the roots of \(2x^2+kx+3=0\) are real and equal, then \(k=\)

\(1,-\frac 12, \frac 14 ……\) are in G.P., then find 8^th term.

For the equation \(2019x+2020y=4040\), when \(x=0\) the value of \(y=\)

From the top of the tower 60 mts high the angle of depression of two objects due north and due south of the tower are 60° and 45° then the distance between two objects is 60

The circumference of a circle is 100 cm, then the side of a square inscribed in the circle is

If \(acosθ + bsinθ=p, \ asinθ - bcosθ=q,\) then

The mean of 17, 4, 8, 6 and 15 is m, the median of 8, 14, 10, 5, 7, 5, 20, 19 and n is (m-1). Then the values of m and n are

Find the mode when median is 125.6 and mean is 128.

Which of the following formula is associated to cylinder?

A number chosen from 1 to 100. Find the probability that it is a prime number ____

What is the probability of getting an even number in a single throw of a die?

Angle between the tangent and radius drawn through the point of contact is

Ratio of volume of cylinder and cone whose radii are equal and having same heights.

The trace of a square matrix is defined to be the sum of its diagonal entries. If $A$ is a $2 \times 2$ matrix such that the trace of $A$ is $3$ and the trace of $A^{3}$ is $-18$, then the value of the determinant of $A$ is ______

The number of terms in the expansion of (x + y + z)¹⁰ is

The value of
¹⁶C₉ + ¹⁶C₁₀- ¹⁶C₆ - ¹⁶C₇ is