Quantitative Aptitude - Arithmetic Ability Questions

If x2-3x+1=0, then x+1x is (x≠0)

What is the equation of the line whose y­-intercept is ­3/4 and making an angle of 45° with the positive x-­axis?

How many numbers are there from 300 to 700 which are divisible by 2, 3 and 7?

Sum of a fraction and thrice of its reciprocal is 73/20. What is the fraction?

If [√(a2 + b2 + ab)] + [√(a2 + b2 – ab)] = 1, then what is the value of (1 – a2 )(1 – b2 )?

If a3 + b 3 = 35 and ab = 6, then what is the value of a + b?

Find the value of sin230 cos245 + 4 tan230 + 1/2sin290 - 2 cos290 + 1/24

The bus fare between two cities is increased in the ratio 1:2. Find the increase in the fare, if the original fare is Rs. 175.