For the following questions answer them individually
What is the greatest four-digit number which on being divided by 6, 7 and 8 leaves 4, 5 and 6 as remainders, respectively?
A poster is on top of a building. A person is standing on the ground at a distance of 50 m from the building. The angles of elevation to the top of the poster and bottom of the poster are $$45^{\circ}$$ and $$30^{\circ}$$, respectively. What is 200% of the height (in m) of the poster?
The ratio of the profits of P and Q is 5: 8. What is their investment ratio, if their investment time period ratio is 3: 5?
If a nine digit number 468$$x$$5138y is divisible by 72, then the value of $$\sqrt{4x+3y}$$ is:
The given bar graph shows the sales of computers from six dealers A, B, C, D, E and F, during two consecutive years 2015 and 2016. Study the graph and answer the question that follows.
What is the ratio of the total sales from dealers A, B and C taken together for the year 2015 to the sales from dealers D, E and F taken together for die year 2016?
A river 6 m deep and 35 m wide is flowing at the rate of 2.5 km/h, the amount of water that runs into the sea per minute is:
A can complete work in 25 days and B can complete the same work in 20 days. They started the work together but B left after 4 days and A continued to work, In how many days will the entire work completed?
If $$2\sqrt{2}x^{3} - 3\sqrt{3}y^{3} = \left(\sqrt{2}x-\sqrt{3}y\right) \left(Ax^{2}-Bxy+Cy^{2}\right)$$, then the value of $$\sqrt{\left(A^{2}+B^{2}+C^{2}\right)}$$
The cost prices of two articles A and B are in the ratio 4 : 5. While selling these articles, the shopkeeper gains 10% on article A and 20% profit on article B, and the difference in their selling prices is ₹480. Find 300, of the total cost price (in ₹) of both the articles.