Quantitative Aptitude - Arithmetic Ability Questions

What is the average of all numbers between 8 and 74 which are divisible by 7?

1/3 part of a certain journey is covered with the speed of 25 km/hr, 1/2 part of the journey is covered with the speed of 45 km/hr and the remaining part covered with the speed of 37.5 km/hr. What is the average speed (in km/hr) for the whole journey?

The sum of all prime numbers between 58 and 62 is

Among three numbers, the first is twice the second and thrice the third. If the average of three numbers is 396, then what is the difference between the first and the third number?

If rsin∅ =1, rcos∅=√3, then the value of r2tan∅ is

If 2x+13x = 5, the value of 5x6x2+20x+1 is

If α and β are the roots of the equation x2+ x – 1 = 0, then what is the equation whose roots are α5 and β5?

Simplify : -21973 × -1253 ÷ 275123