Quantitative Aptitude - Arithmetic Ability Questions

Circum center of ΔABC is O. If ∡BAC = 75 and ∡BCA = 80 degrees,

then what is the value of ∡OAC(in deg)?

At what point does the line 3x + 2y = 12 cuts the Y-axis?

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

If x2+ y2+ z2= xy + yz + zx, then what is the value of (7x + 3y – 5z)/5x?

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

Of the 5 subjects, the average marks of Rakesh in first 3 Subjects was 79 and the average marks in the last 3 subjects was 86. If his marks in the third subject was 80, then what was his average marks in all the 5 subjects?

The mean of marks secured by 65 students in division A of class X is 54, 30 students of division B is 50 and that of 55 students of division C is 48. Find the mean of marks of the students of three divisions of Class X.

A truck moves at the speed of 90 km/hr after repairing and moves at the speed of 80 km/hr before repairing. It covers x distance in 8 hours after repairing. How much time (in hours) will it take to cover 4x distance before repairing?