For the following questions answer them individually
The smallest number which when divided by 8 and 14 leaves remainders 5 and 11. respectively, is:
A sum of ₹3,596 is divided between A, B, and C in the ratio $$\frac{1}{6} : \frac{1}{8} : \frac{1}{9}$$. What is the difference (in )₹ between the shares of A and C?
A man sold an article for ₹2,320 and made a profit of 16% in the process. What would have been his profit or loss per cent, had he sold it for ₹2,100?
The cost of levelling a circular field at ₹5 per $$m^{2}$$ is ₹19,250. What is the cost (in ₹) of putting a fence around it at ₹24 per m? (Take $$\pi = \frac{22}{7}$$)
A sum of ₹2,50,000 is invested for one and a half years at 12% per annum compound interest. What is the difference between the amounts received when the interest is compounded semi-annually and when it is compounded annually?
A shopkeeper allows successive discounts of 20% and 10% on every item. At what price is an article marked for ₹500 available to customers?
The distance between a man and a 230 m long train is 115 m. How much time (in seconds) will the train, which is
running at a speed of 60 km/h, take to pass the man who is running at a speed of 9 km/h towards the train?
The sides of a triangle are in the ratio 4 : 7 : 9. If the sum of the shortest and the longest sides is 65 cm, then what is the length of the third side? (in cm)
The average score of a group of students in a test is 58. The average score of the brightest 15% of the students is 85 and that of the poorest 20% of the students is 28. What is the average score of the remaining students?