Quantitative Aptitude - Arithmetic Ability Questions

The LCM of 72 and 84 is:

What is the value of sin 5π/3?

ΔABC is an isosceles right angled triangle having ∠C = 90°. If D is any point on AB, then AD2+ BD2 is equal to

The average marks obtained by Raghav in 12 tests is 24. Zubeida has maintained an average of 23 so far but has taken only 9 of the tests. If each test is out of 30, at least how much Zubeida score in any one of the remaining three tests to still have a chance to match Raghav's performance?

Rajat sells a machine for Rs 53 lakhs at a loss. Had he sold it for Rs 64 lakh, his gain would have been 10 times the former loss. Find the cost price of the machine.

Rizvan walks at 15 km/hr and Ruchitha cycles at 20 km/hr towards each other. What was the distance between them when they started if they meet after 42 minutes?

Amal is 5 times as good a workman as Bhairav and therefore is able to finish a job in 48 days less than Bhairav. Working together, they can do it in