Question
The sum of the HCF and LCM of two numbers is 544, and the
LCM is 16 times the HCF. If one number is 34, find the other. (find the approximate value)Solution
ATQ,
Let HCF = x
Then LCM = 16x
x + 16x = 544
⇒ 17x = 544
⇒ x = 32
Now,
34 × y = 32 × 16 × 32 = 16384
⇒ y = 16384 ÷ 34 = 481.88 or approximate 482
1153, 1206, ?, 1326, 1393, 1464
A tangent to a circle of radius 5 cm is drawn from a point 13 cm away from the center of the circle. Find the length of the tangent.
If tan⁻¹(x) + tan⁻¹(y) + tan⁻¹(z) = π/2, then the value of cot⁻¹(x) + cot⁻¹(y) + cot⁻¹(z) = ?
A particular sum of money, when invested at a simple interest rate, yields Rs. 3,000 as interest after 2 years. The same sum, whe...
What is the primary purpose of an operating system in a computer system?
If a + b + c = 0, find the value of a³ + b³ + c³ .
A class of 50 students has an average Chemistry exam score of 65. There average of boys and girls are 3: 2 in the class. Boys have an average score of 7...
What is the remainder when 4585 is divided by 8.
Simplify the following expression:

A sphere has a volume of 288π cubic units. What is the diameter of the sphere?