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If the sequence x+3, 2x+5, 4x+9 is an arithmetic progression (AP), find the value of x.
A can finish a work in 18 days and B can do the same work in 15 days. B worked for 10 days and left the job. In how many days, A alone can finish the remaining work?
A rhombus ABCD has diagonals AC and BD. If the slope of the diagonal BD is 2/3, and the point A is (-2,5), find the equation of the diagonal AC.
Suresh for 2 years invested Rs. 500 in SBI. He also invested Rs. 300 in ICICI for 4 years. At the end he received Rs. 220 from both banks as simple interest. What must have been rate of interest?
A stockist has 20 items in a lot. Out of these, 12 are non-defective and 8 are defective. A customer selects 3 items from the lot. What is the probability that all three items selected are non-defective?
Sameer spends 40% of his salary on food, and 1/3 of the remaining amount on transport. If he saves Rs. 450 per month, which is half of the balance after spending on food and transport, what is his monthly salary?
A man's basic pay for a 40-hour week is Rs. 20. Overtime is paid at 25% above the basic rate. In a certain week, he worked overtime and his total wage was Rs. 25. For how many hours did he work in total?
Two brother X and Y appeared for an exam. Let A be the event that X is selected and B is the event that Y is selected. The probability of A is 1/7 and that of B is 2/9. Find the probability that both of them are selected.
A started a travel agency using his Rs. 45000. B realized the profit in the business and joined after 3 months with his Rs. 60000. C came a bit late and after another 6 months invested Rs. 90000. Out of total profit of Rs. 20000 obtained after a year, what is share of C?
