Question
A train 200 metre long takes 30 sec to cross a man
running at a speed of 4 km/hr in the direction opposite to that of train. What is the speed of the train?Solution
Let the speed of the train be x Relative speed = (x + 4) km/hr ⇒ (x + 4) = (200 × 18)/(30 × 5) ⇒ (x + 4) = (3600)/(150) ⇒ x + 4 = 24 ⇒ x = 24 – 4 = 20 km/hr
Find the common factor of (x2Â - 4x - 12) and (x2Â - 14x - 32).
If (5x + 2)3 + (x – 1)3 + 8(3x – 7)3 = 6(5x + 2) × (x – 1) × (3x – 7), then the value of (5x + 3) isÂ
...What is the average of the first 20 multiples of 12?
A certain number of students from school X appeared in an examination and 30% students failed. 150% more students than those from school X, appeared in ...

48 24 24 48 ? 1536
...What is the highest common factor of (x³ - x² - x - 15) and (x³ - 3x² - 3x + 9)?
If
= 2 then find Find the remainder on dividing (5x 3  + 4x 2  – 10x + 1) by (2x – 4).