Quantitative Aptitude - Arithmetic Ability Questions

Let O be the orthocentre of the triangle ABC. If ∠BOC = 150°, Then ∠BAC is

If 14/3 + (1/2)(x - 7/3) = -2x/3, then the value of x is?

Three numbers are in the ratio of 3:5:10 and their LCM is 630. Find their HCF.

If 2x + 3(5-2x) > 2 - 3x < 2x - x/3, then x can take which of the following values?

Select the odd word/letters/number/number pair from the given alternatives.

If (X/4) = (Y/5) = (Z/9), then what is X : Y : Z?

Each question contains Quantity I and Quantity II. Read the contents clearly and answer your questions accordingly.

Quantity I: 3 years ago the ratio of age of A and B is 3: 4 after 2 years the sum of their ages is 45. Then find the present age of A? 

Quantity II: 5 years ago, the ratio of age of p and Q id 3: 4 P’s age after 6 years is equal to the present age of Q. the find the present age of P?

Rameshwar goes on a trip on his motor-cycle and rides for 405 kms. If he rides for 6 hours at a speed of 45 km/hr, find at what speed he travels for the remaining 3 hours of the journey?