Quantitative Aptitude - Arithmetic Ability Questions

If Sin θ = 20/29, then what is the value of Cos θ?

A boat goes a certain distance at 40 km/hr and comes back the same distance at 24 km/hr. What is the average speed (in km/hr) for the total journey?

If y% of y is 289, then what is the value of y?

The difference between two numbers is 1146. When we divide the larger number by smaller we get 4 as quotient and 6 as remainder. Find the larger number

In a city, 40% of the people are illiterate and 60% are poor. Among the rich, 10% are illiterate. The percentage of the illiterate poor population is

A man buys 3 type-I cakes and 6 type-II cakes for Rs. 900. He sells type-I cakes at a profit of 15% and type-II cakes at a loss of 10%. If his overall profit is Rs.30, the cost price (in Rs.) of a type-I and of a type-II cakes is

A sum of money was invested at the rate of 7.5% S.I. per annum for 4 years. If the investment was for 5 years, the interest earned would have been Rs. 375 more. What was the initial sum invested?

A card is drawn from a pack of 52 cards. What is the probability that either card is black or a king?