Sharon was asked by her teacher to subtract 4 from a number and to divide the result by 12. However, she subtracted 12 from that number and divided the result by 4 to get 26. If she had done it correctly, what answer would she have gotten?
Assume that the symbol ^@\ddagger x \ddagger^@ denotes the largest integer not exceeding ^@x^@. For example, ^@\ddagger 3 \ddagger = 3^@, and ^@\ddagger 4.9 \ddagger = 4^@.
What is the value of
^@\ddagger \sqrt{1}\ddagger + \ddagger\sqrt{2}\ddagger + \ddagger\sqrt{3}\ddagger \space + ...... + \ddagger\sqrt { 25 }\ddagger.^@
Except for one face of a given cube, identical cubes are glued through their faces to all the other faces of the given cube. If each side of the given cube measures ^@3 \space cm^@, then what is the total surface area of the solid body thus formed?
The graph below shows the temperature (in degrees Celsius) over 10 weeks in Melbourne. Calculate the maximum range of variation (the difference between highest and lowest temperature).
A brand of pineapple juice is available in shop ^@A^@ and shop ^@B^@ at an original price of ^@$4.00^@ per bottle. Shop ^@A^@ provides the ^@“^@ buy ^@3^@ get ^@1^@ free ^@”^@ promotion and shop ^@B^@ provides ^@15\%^@ discount if one buys ^@3^@ bottles or more. Find the minimum cost(in cents) if one wants to buy ^@14^@ bottles of the pineapple juice.
An item was bought at ^@$ x^@ and sold at ^@$ y^@, thereby earning a profit of ^@20\%^@. Had the value of ^@x^@ been ^@15\%^@ less and the value of ^@y^@ been ^@$57^@ less, a profit of ^@30\%^@ would have been earned. What was the value of ^@x^@?
Sandra's capital is ^@\dfrac{ 1 }{ 4 }^@ times more than Kevin's capital. Kevin invested his capital at ^@25\%^@ per annum for ^@2^@ years (compounded annually). At what rate ^@\% \space p.a.^@ simple interest should Sandra invest her capital so that after ^@2^@ years, they both have the same amount of capital?
Anthony is getting ready for his office. He has 5 pair of blue socks and 6 pair of green socks. he reaches into the cupboard and picks up a blue sock Without looking. What is the probability that the next sock he pulls out will be of same color?
Australia