Question
If total number of factors of 1,800 is 'x', then find
the value of (x - 8) (x + 4).Solution
Factors of 1,800 = 2³ × 3² × 5² So, total number of factors = (3 + 1) (2 + 1) (2 + 1) = 4 × 3 × 3 = 36 Required value = (x - 8) (x + 4) = 28 × 40 = 1120
- If '57x8y' is a five-digit number which is divisible by 72, then find the value of (5x - y).
- The nine-digit number 7x31265y2 is divisible by 88. Find the value of √(xy), given that x < 8 and y < 8.
Find the difference between minimum and maximum value of 'h' such that '1h9843' is always divisible by 3.
- Determine the largest common factor of 1764, 4410, and 8820.
- The sum of two numbers is 40 whereas the sum of their reciprocals is (10/3). Find the square of the product of the two numbers.
Find the difference between minimum and maximum value of 'k' such that '6k8194' is always divisible by 3.
The sum of two numbers is 84 and their difference is 12. Find the numbers.
What should come in place of the question mark (?) in the following question?
3/8 × 4/7 ? = 5376
- Find the median of the following observations:
42, 38, 45, 50, 48, 52, 47, 46, 44 When the sum of the squares of two positive integers is given as 1,600, and their product is given as 768. Determine the value of the smaller integer.