Quantitative Aptitude - Arithmetic Ability Questions

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?

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

If Tan θ = 7/24, then what is the value of Sec θ?

A certain sum of money amounts to Rs 918 in 2 years and Rs 969 in 3.5 years at simple interest. What is the rate of interest (in %)?

Amit donated 20% of his income to a school and deposited 20% of the remainder in his bank. If he is having Rs 12800 now, then what is the income (in Rs) of Amit?

A number is increased by 84, it becomes 107% of itself. What is the number?

What is the value of 3.6×1.62+0.48×3.61.8×0.8+10.8×0.3-2.16 ?

Loss of 20% on selling price is equal to x% loss in cost price. What is x?