In the figure ∠AMB = 130°, then what is the value (in deg) of ∠ABQ?

PQ is a diameter of a circle with centre O. RS is a chord parallel to PQ subtends an angle of 40° at the centre of the circle. If PR and QS are produced to meet at T, then what will be the measure (in degrees) of ∠PTQ?

If x - 1/x = 1 then what is the value of 1x1x-1-1x+1+1x2+1-1x2-1?

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

If x = 2+32-3, then what is the value of x2+x-9 ?

If x + y = 5, x3 + y3 = 35, then what is the positive difference between x and y?

Rohan borrowed a certain sum of money at simple interest. Rate of interest was 3% per annum for first 3 years, 4% per annum for next 5 years and 6% per annum for next 7 years. If he paid Rs 2059 as interest, then what is the sum borrowed (in Rs)?

A man makes four trips of equal distances. His speed on first trip was 60 km/hr and in each subsequent trip his speed was half of the previous trip. What is the average speed (in km/hr) of the man in these four trips?