Surds and Indices

Practice Time and Distance – The value of (8^-25– 8^-26) is:

Practice Surds and Indices – The value of ⁷⁴P₂ is

Practice Surds and Indices – If x⁴ + 1/x⁴ = 47, then find the value of x³ + 1/x³

Practice Surds and Indices – (a+b)³-(a-b)³ can be factorized as:

Practice Surds and Indices – If x = 3 + 3^1/2, then what is the value of x² + 9/x² ?

Practice Surds and Indices – If 1³ + 2³+ 3³+ ……….+ 9³ = 2025 ,then the value of (0.11)³ + (0.22)³ + ….+ (0.99)³ is close to:

Practice Surds and Indices – If the equation x²-2(k+1)x+(9/2)k=0 has two identical roots then the values of k are:

Practice Surds and Indices – What is the least perfect square, which is divisible by 24, 30 and 60?

Practice Surds and Indices – The air conditioned bus service from Siruseri industry park runs at regular intervals throughout the day. It is now 3:12 pm and it has arrived 1 minute ago but it was 2 minutes late. The next bus is due 3:18 pm. When is the next bus due?

Practice Surds and Indices – What is the least multiple of 13 which divided by 3, 4, 5, 8 and 10 leaves remainder 2 in each case?

Practice Surds and Indices – If there are four clocks, one ticks after every 30 minutes, second one ticks after every 45 minutes, third one ticks after every 1 hour and 45 minutes and fourth one ticks after every 15 minutes. They all ticked together at exactly 12 noon. Then when will they tick together next time ?

Practice Surds and Indices – The H.C.F of two numbers is 11 and their L.C.M is 7700. If one of the numbers is 275, then the other is:

Practice Surds and Indices – Three wheels make 18, 24, 54 revolutions per minute. Each has a black mark on it. It is aligned at the start. When does it align again for the first time?

Practice Surds and Indices – Find the number between 100 to 400 which is divisible by either 2,3,5,7..

Practice Surds and Indices – The ratio of two numbers is 3:4 and their HCF is 4.Their LCM is: