Quantitative Aptitude - Arithmetic Ability Questions

A superfast Duronto express running at 90 kmph overtakes a bike running at 36 kmph in 25 seconds. What is the length of the train in meters?

A fan was sold for Rs. 3600 at a loss of 4%. What would be the gain or loss percent ifit was sold for Rs. 4200?

The sum of a fraction and 4 times its reciprocal is 13/3. What is the fraction?

A fraction is greater than its reciprocal by (72)/(77). What is the fraction?

The third proportional of two numbers 12 and 48 is

If x+y+z = 0, then what is the value of x23z+y33xz+z23x ?

Δ DEF is right angled at E. If m∠D = 45°, then what is the value of cosecF X cotD?

If sin (3x ­ 20°) = cos (3y + 20°), then find the value of (x + y).