Quantitative Aptitude - Arithmetic Ability Questions

If x – (1/x) = 3, then what is the value of (2x4 + 3x3 + 13x2 – 3x + 2) / (3x4 + 3)?

If (8x ­- 4) = (3x + 6), then the numerical value of (x + 1)3 is

If θ be positive acute angle and 5cosθ + 12sinθ = 13, then the value of cosθ is

Two buses are moving towards each other with speed of 20 km/hr and 34 km/hr respectively. What will be the distance (in metres) between the two buses one second before they collide?

The average of 5 members of a family is 24 years. If the youngest member is 8 years old, then what was the average age (in years) of the family at the time of the birth of the youngest member?

The average of three numbers is 40. First number is 4/3 of the third number. If third number is 20 less than second number, then what is the value of second number?

Sum of three consecutive integers is 51 . The middle one is:

Raj takes 2 1/3 hrs to complete a certain distance at a speed of 51 kmph. What time would Kiran take to complete the same distance at a speed of 68kmph?