Quantitative Aptitude - Arithmetic Ability Questions

If (cotA - cosecA)2 = x, then the value of x is

If √(1 + cot2A)/cotA = x, then the value of x is

The sum of three numbers is 67. If the ratio of the first number to the second number is 3 : 5 and that of the second number to the third number is 4 : 7, then what is the second number ?

If θ is acute angle and tan θ – cot θ = 0, then what is the value of tan26θ + cot100θ?

If x , y, and z are real numbers such that (x - 3)2 + (y - 4)2 + (z - 5)2 = 0 then (x+y+z) is equal to

The sum of all prime numbers between 58 and 62 is

Which of the following will yield a recurring decimal?

Five men or ten women can complete a job in 20 days. In how many days can 3 men and 4 women complete it?