For the following questions answer them individually
The least multiple of 13 which when divided by 4, 5, 6, 7 leaves remainder 3 in each case is
The simplest value of
$$\frac{1}{\sqrt{2} + \sqrt{3}} + \frac{1}{\sqrt{3} + \sqrt{4}} + \frac{1}{\sqrt{4} + \sqrt{5}} + \frac{1}{\sqrt{5} + \sqrt{6}}$$
A and B are partners in a business. A contributes 1/4 of the capital for 15 months and B received 2/3 of the profit. Find for how long B's money was used?
If 21 is added to a number, it becomes 7 less than thrice of the number. Then the number is
Two men A and B started a job in which A was thrice as good as B and therefore took 60 days less than B to finish the job. How many days will they take to finish the job, if they take to finish the job, if they start working together?
A rectangle garden is 100 m $$\times$$ 80 m. There is a path along the garden and just outside it. Width of the path is 10m. The area of the path is
A dealer offered a machine for sale for Rs. 27,500 but even if he had charge 10% less, the would have made a profit of 10%. The actual cost of the machine is
An employer reduces the number of employees in the ratio 8 : 5 and increases their wages in the ratio 7 : 9. As a result, the overall wages bill is
The average age of a jury of 5 is 40. If a member aged 35 resigns and man aged 25 becomes a member, then the average age of the new jury is
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