List of top Mathematics Questions

The value of \( \sqrt[3]{72.9} \) is:

If 1000! = 3ⁿ × m, where m is an integer not divisible by 3, then n =?

If a\(95\% \)confidence interval for the population mean was reported to be 160 to 170 and\(σ = 25\), then the size of the sample used in this study is:

If 7 is the mean of 5, 3, 0.5, 4.5, \( a \), 8.5, 9.5, then the value of \( a \) is:

Let \( PQ \) be a chord of the parabola \( y^2 = 12x \) and the midpoint of \( PQ \) be at \( (4, 1) \). Then, which of the following points lies on the line passing through the points \( P \) and \( Q \)?

Ravi can do \( \frac{3}{4} \) of a work in 12 days. In how many days Ravi can finish the \( \frac{1}{2} \) work?

The volume of the cylinder is \( 448 \pi \, \text{cm}^3 \) and height 7 cm. Then its lateral surface area is:

If \( 5\sqrt{5} \times 5^3 \div 5^{-3/2} = 5^a \), then the value of \( a \) is:

The vertices of a triangle are \( (4, 6), (2, -2) \), and \( (0, 2) \). Then the coordinates of its centroid must be:

The value of \( \frac{\sqrt{1 + \sin x}}{1 - \sin x} \) is:

If the ratio of volumes of two spheres is 1 : 8, then the ratio of their surface areas is:

If the matrix\(\begin{bmatrix}0 & -1 & 3x\\1 & y & -5\\-6 & 5 & 0 \end{bmatrix} \)is skew-symmetric, then the value of 5x−y is:

Consider the circle \( C : x^2 + y^2 = 4 \) and the parabola \( P : y^2 = 8x \). If the set of all values of \( \alpha \), for which three chords of the circle \( C \) on three distinct lines passing through the point \( (\alpha, 0) \) are bisected by the parabola \( P \), is the interval \( (p, q) \), then \( (2q - p)^2 \) is equal to ________ .

The least non-negative remainder when 3⁵¹ is divided by 7 is:

The value of \( \sin \theta + \cos(90^\circ + \theta) + \sin(180^\circ - \theta) + \sin(180^\circ + \theta) \) is:

Evaluate the integral $\int_0^1 \frac{a - bx^2}{(a + bx^2)^2} , dx$:

\(\lim\limits_{x→0} \frac {e^{|2sinx|}-2|sinx|-1}{x^2}\) is

Let \( \alpha \in (0, \infty) \) and \( A = \begin{bmatrix} 1 & 2 & \alpha \\ 1 & 0 & 1 \\ 0 & 1 & 2 \end{bmatrix} \). If \( \det(\text{adj}(2A - A^\top) \cdot \text{adj}(A - 2A^\top)) = 2^8 \), then \( (\det(A))^2 \) is equal to:

If $t = e^{2x}$ and $y = \ln(t^2)$, then $\frac{d^2 y}{dx^2}$ is:

Let $A = \{1, 2, 3, 4, 5\}$. Let $R$ be a relation on $A$ defined by $xRy$ if and only if $4x \leq 5y$. Let $m$ be the number of elements in $R$ and $n$ be the minimum number of elements from $A \times A$ that are required to be added to $R$ to make it a symmetric relation. Then $m + n$ is equal to:

Let \( z \) be a complex number such that the real part of \[ \frac{z - 2i}{z + 2i} \] is zero. Then, the maximum value of \( |z - (6 + 8i)| \) is equal to:

If the domain of the function \[f(x) = \frac{\sqrt{x^2 - 25}}{(4 - x^2)} + \log_{10}(x^2 + 2x - 15)\]is $(-\infty, \alpha) \cup [\beta, \infty)$, then $\alpha^2 + \beta^3$ is equal to: