If the product of two numbers is 1080 and their Highest Common Factor (HCF) is 6, what is their Least Common Multiple (LCM)?
Mathematics
Question · Easy
Factor it
Short
Solve the linear equation for x: 3x - 5 = 16.
What are the roots of the quadratic equation x² - 5x + 6 = 0?
Evaluate the trigonometric expression: sin(30°) + cos(60°).
What is the sum of the interior angles of a regular pentagon?
Stats test: find the median
An article bought for ₹400 is sold for ₹460. What is the profit percentage?
Find the distance of the point (3, 4) from the origin (0, 0).
Determine the 10th term of the Arithmetic Progression (AP): 2, 7, 12, 17, ...
What is the value of tan(45°)?
Calculate the area of a circle whose radius is 7 cm. (Take π = 22/7)
Find the sum of the roots of the quadratic equation 3x² - 7x + 2 = 0.
Question · Medium
If (x - 2) is a factor of the polynomial p(x) = x³ - 3x² + kx - 8, find the value of k.
If α and β are the roots of the quadratic equation x² + px + q = 0, which expression represents the value of α² + β²?
Simplify the trigonometric expression: (1 - tan²θ) / (1 + tan²θ).
If sinθ + cosθ = √2 cosθ, what is the value of cosθ - sinθ?
The ratio of the volumes of two spheres is 8:27. What is the ratio of their surface areas?
Find the area of the triangle whose vertices are (0, 0), (4, 0), and (0, 3).
A can complete a piece of work in 10 days, and B can complete the same work in 15 days. How many days will they take to complete the work together?
Calculate the compound interest on ₹10,000 for 2 years at 10% per annum, compounded annually.
In a right-angled triangle, the base is 5 cm and the hypotenuse is 13 cm. What is the area of the triangle?
Find the median of the following observations: 5, 9, 11, 3, 8, 15, 20.
If the sum of the first n terms of an arithmetic progression is given by S_n = 2n² + 5n, what is the common difference of the AP?
A right circular cylinder has a volume of 1540 cm³ and a height of 10 cm. Find the radius of its base. (Take π = 22/7)
What is the sum of the first 20 odd natural numbers?
Find the slope of the straight line passing through the points (2, 3) and (5, 9).
Solve for θ in the equation 2 sin²θ - 3 sinθ + 1 = 0, where 0° ≤ θ ≤ 90°.
Simplify the algebraic expression: (x² - 9) / (x - 3) for x ≠ 3.
If x + 1/x = 5, what is the value of x³ + 1/x³?
Question · Hard
Find the exact value of sin(15°).
In triangle ABC, D and E are points on AB and AC respectively such that DE || BC. If AD = x, DB = x - 2, AE = x + 2, and EC = x - 1, find the value of x.
Find the coordinates of the circumcenter of a right-angled triangle with vertices at (0, 0), (6, 0), and (0, 8).
If two fair six-sided dice are rolled simultaneously, what is the probability that the sum of the numbers shown is a prime number?
A solid metallic cylinder of radius 3 cm and height 5 cm is melted and recast into solid cones, each of radius 1 cm and height 1 cm. How many such cones can be formed?
Solve the system of equations for x and y: 2^x + 3^y = 17 and 2^(x+1) - 3^y = 7. What is the value of x + y?
Which of the following is the SI unit of force?
Physics
What is the relation between linear velocity (v), angular velocity (ω), and radius (r) of a circular path?
What is the value of absolute zero temperature on the Celsius scale?
What is the focal length of a plane mirror?
What is the SI unit of electrical resistance?
Which of Newton's laws of motion defines force quantitatively?
Which of the following devices is primarily used to measure high temperatures (such as in furnaces) without physical contact?
What type of lens is used to correct hypermetropia (farsightedness)?
What is the equivalent resistance of two 10-ohm resistors connected in parallel?
Who discovered the phenomenon of natural radioactivity?
A car starts from rest and accelerates uniformly at a rate of 2 m/s². What distance does it travel in the first 10 seconds of its motion?
Calculate the work done in lifting a 5 kg mass vertically upwards to a height of 10 meters. (Take g = 9.8 m/s²)
Loading more…