Quantitative Aptitude - Arithmetic Ability Questions

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

If x + y + z = 22 and xy + yz + zx = 35, then what is the value of (x – y)2 + (y – z)2 + (z – x)2?

There were 35 studentsina hostel.Ifthenumber of studentsbe increased by 7, the expenditure on food increases by Rs 42 per day while the average expenditure of studentsis reduced by Rs 1. What was the initial expenditure on food per day?

If the rice is sold at Rs 56 per kg, there would be a 40% loss. To earn a profit of 20% what should be the price of rice (per kg)?

Find the Odd one out.

Raghu goes to college at a speed of 4 kmph and returns at a speed of 3 kmph. If he takes 5.95 hrs in all, then what is the distance between his home and the college?

∆PQR is right angled at Q. If cosecP = 17/15, then what is the value of sinR ?

If 2/3(6x/5 - 1/4) + 1/3 = 9x/5, then what is the value of x?