Quantitative Aptitude - Arithmetic Ability Questions

In the given figure, SX is tangent. SX = OX = OR. If QX = 3 cm and PQ = 9 cm, then what is the value (in cm) of OS?

4 years ago, the respective ratio between 1/2 of A’s age at that time and four times of B’s age at that time was 5 : 12. Eight years hence 1/2 of A’s age at that time will be less than B’s age at that time by 2 years. What is B’s present age ?

The sum of the ages of brother and sister at present is 21. Five years ago the product of their ages was 28. What is the age of the brother and the sister?

Choose the word is least like the other words in the group

If (x + 1/x) = 3, then x8+1x8 is equal to

If cot A = [sin B/(1 – cos B)], then what is the value of cot 2A?

Two bikers A and B start and ride at 75 km/hr and 60 km/hr respectively towards each other. They meet after 20 minutes. How far (in km) were they from each other when they started?

The interest earned on Rs. 1600 at the rate of 5% S>I per annum for 6 yrs would be: