Quantitative Aptitude - Arithmetic Ability Questions

If a+1b= b+1c = c+1a (a , b, c are not equal) then the value of abc = 

If x = 1/(√2+1) then the value of x2 + 2x - 1 is

A loan of Rs. 305 was taken at a certain rate per annum of compound interest, for 3 years. After 3 years the amount repaid was Rs. 670, calculate the rate of compound interest.

What is the reflection of the point (-0.5, 6) in the x-axis?

What is the simplified value of [2/(cot A – tan A)]?

S, T and U started a business by investing Rs 4200, Rs 6300 and Rs 8400 respectively. S left the business after 3 months, T left 6 months after the business had started and U remained in the business till one year. At the end of one year the total profit is Rs 6000. What is the U’s share (in Rs) in the profit?

X and Y started a business investing Rs 12000 and Rs 9000 respectively. After 4 months, X left the business and Z joined the business by investing Rs. 18000. At the end of the year, there was a profit of Rs 12500. What is the share (in Rs) of Z in the profit?

Karan remembers that his sister's birthday is not after 18th August. Karan's mother remembers that Karan's sister birthday is before 20th August but after 17th August. On which date of August is Karan's sister birthday?