Quantitative Aptitude - Arithmetic Ability Questions

What is the value of cot 11π/6?

If a -­ b = 6 and ab =16, then a3 -­ b3 is

Out of two numbers, 65% of the smaller number is equal to 45% of the larger number. If the sum of the numbers is 2574, then what is the value of larger number?.

If x + 3y - 2z4 = 6, x + 232y + 3z = 33 and 17x + y +z + 2z =9, then what is the value of 46x+ 131y ?

On dividing a number by 47, we get 75 as quotient and 18 as remainder. What is the number?

Two donkeys are standing 400 meters apart. First donkey can run at a speed of 3 m/sec and the second can run at 2 m/sec. If two donkeys run towards each other after how much time (in sec) will they bump into each other?

ΔXYZ is right angled at Y. If cosX = 3/5, then what is the value of cosecZ ?

If x+1x = 4, then what is the value of x6+1x6 ?