Quantitative Aptitude - Arithmetic Ability Questions

If x2 + (1/x2) = 31/9 and x > 0, then what is the value of x3 + (1/x3)?

Five women can do a work in 36 days. If the ratio between the capacity of a man and a woman is 3:1, then find how many days it will take 5 men to complete the same woek?

A and B together do a job in 6.75 days and A could do the job in 9 days if he worked alone. How many days would B take to do the job if he worked alone?

If 5 sec θ – 3 tan θ = 5, then what is the value of 5 tan θ – 3 sec θ?

A solid copper sphere of radius 9 cm is melted and reformed into a wire of radius 1 mm. What will be the length of this wire? (Take π = 22/7)

One of the internal angle of a rhombus is 60° and length of its shorter diagonal is 8 cm. What is the area of the rhombus?

Δ DEF is right angled at E. If m∠F = 45, then what is the value of Sin F x Tan F?

Value of (cos 53° - sin 37°) is