Quantitative Aptitude - Arithmetic Ability Questions

If 27x + 27[x–(1/3)] = 972, then what is the value of x?

There are two parallel streets each directed north to south. A person in the first street travelling from south to north wishes to take the second street which is on his right side. At some place, he makes a 150 deg turn to the right and he travels for 15 minutes at the speed of 20 km/hr. After that he takes a left turn of 60 deg and travels for 20 minutes at the speed of 30 km/hr in order to meet the second street. What is the distance between the two streets?

Price of a diamond is directly proportional to square of its weight. A man broke the diamond accidently in three pieces in the ratio of 3 : 5 : 7 and thus loses Rs 42600. What was the original price (in Rs) of the diamond?

Manik marks the price of his toys 40% above the cost price. If he allows 20% discount, then what is the profit or loss percentage?

A can do a work in 15 days and B in 9 days. If they work on it together for 5 days, then what fraction of work is left?

Average of 11 numbers is 7. If every number is doubled, then what will be the new average of the numbers?

The price of an article is cut by 3%. To restore to its original value, the new price must be increased by

If 6A = 7B = 5C; find A : B : C