Question
LCM of two numbers is 12 times their HCF. The product of
the numbers is 25920. What will be the maximum possible difference between the numbers?Solution
ATQ, Let HCF of two numbers be ‘x’ So, LCM of two numbers = 12 × x = 12x Or, x × 12x = 25920 Or, 12x² = 25920 Or, x² = 2160 Or, x = √2160 = 46.48 (Approx 46) LCM of two numbers = 46 × 12 = 552 Let two numbers be ‘46a’ and ‘46b’, where ‘a’ and ‘b’ are co-prime numbers. So, 46ab = 552 Or, a × b = 12 So, when a = 1 and b = 12, then difference will be maximum Desired difference = 46 × 12 – 46 × 1 = 506
√(3x-2)+ √(3x+2) = 4+ 2√5 then value of x is.
How many numbers between 500 and 3000 are divisible by 13 as well as 17?
An article with cost price of Rs. 300 is marked (50/3)% above its cost price and sold after a discount of 20%. Find the overall profit/loss in the trans...
Two cars start from a place with a speed of 30 km/hr at an interval of 10 minutes. What is the speed of a man coming from the opposite direction towards...
What approximate value will come in place of the question mark (?) in the following question? (Note: You are not expected to calculate the exact value.)...
Ram needs to travel from point 'A' to point 'B'. If he travels at a speed of 24 km/h, he arrives 2.5 hours later than expected. However, if he travels a...
If (442 – 424 + 242) ÷ 13 + √2304 = x, then {(x/2) + 16} = ?
A shopkeeper sets the selling price of an item higher than its cost price. After offering a 4% discount, the shopkeeper earns a 20% profit. What percent...
√(2x - 3) + √(2x + 3) = 3 + √3, then value of x is.
Two years from now, the grandson's age will be 25% of the grandfather's age. Three years ago, the grandfather's age was five times the grandson's age. D...
