Quantitative Aptitude - Arithmetic Ability Questions

If the time increases by 7 years, then simple interest increases by Rs 8400 on a sum of Rs 6000. What is the rate (in percentage) of interest per annum?

The ratio 1 : 5 can be expressed in decimal as

X can finish 25% of a work in a day. Y can do 12.5% of the same work in a day. In how many days, will both of them finish the work together?

Which of the following conditions is TRUE for the two line segments AB and CD to be congruent?

The value of sinθ1+cosθ + sinθ1-cosθ

If x2+y2+z2-8x+6y-4z+29 = 0, then find the value of z(x+y).

If x = (√5) + 1 and y = (√5) – 1, then what is the value of (x2/y2) + (y2/x2) + 4[(x/y) + (y/x)] + 6?

Δ DEF is right angled at E. If m ∠D = 30°. What is the length (in cm) of DE, if EF = 2√3 cm?