Quantitative Aptitude - Arithmetic Ability Questions

If (x - 13)2 + (y - 4)2 = 0, then the value of y + xy - x ?

If tanθ + cotθ = 5, then the value of tan2θ + cot2θ is

Rathin is now 16 years old while his cousin is 7 years. After how many years will Ratin's age be 1.5 times that of his cousin?

If the sum of squares of two real numbers is 41 and their sum is 9. Then the sum of cubes of these two numbers is

Yaman sold an item at a loss of 10%. If he had sold it for Rs.57 more, he would have made a profit of 20%. What should be the selling price of the item to make a profit of 30%?

The sum of 15 observations of a data is (434 + x). If the mean of the data is x, then the value of x is

A boy crosses a 300 metres wide road in 30 seconds. What is his speed (in km/hr)?

ΔABC is right angled at B. If m ∠A = 60°, then what is the value of 1/√3 Cosec C?