Quantitative Aptitude - Arithmetic Ability Questions

A boat is sailing towards a lighthouse of height 20√3 m at a certain speed. The angle of elevation of the top of the lighthouse changes from 30° to 60° in 10 seconds. What is the time taken (in seconds) by the boat to reach the lighthouse from its initial position?

Ages of Lalu and Balu are in the ratio of 1 : 2. After 7 years their ages ratio changes to 3 : 5. The elder person age is

In ΔABC, AD is the median and AD = (1/2)BC. If ∠ACD = 40°, then what is the value (in degrees) of ∠DAB?

Six years ago, the ratio of the two persons P and Q was 3 : 2. Four years hence the ratio of their ages will be 8 : 7. What is P's age?

In a bag the ratio of red balls to green balls is 4 : 9. If 6 more green balls were added to the bag, the ratio of red balls to green balls would become 1 : 3. How many red balls are there in the bag?

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

The slopes of two lines are 1 and √3. What is the angle between these two lines?

The value of x for which the expressions 15x + 4 and 13x - 2 become equal is ______