Mathematics Past Questions and Answers

A student spent 1/5 of his allowance on books, 1/2 of remainder on food and kept the rest for contingencies. What fraction was kept?

If log₁₀2 = 0.3010 and log₁₀7 = 0.8451, evaluate log₁₀280

Simplify \(\frac{5+\sqrt{7}}{3+\sqrt{7}}\)

If x = {n²+1:n is a positive integer and 1 \(\leq\) n \(\leq\) 5},
Y = {5n:n is a positive integer and 1 \(\leq\) n \(\leq\) 5}, find x \(\cap\) y.

I.S∩T∩W=S II. S ∪ T ∪ W = W
III. T ∩ W = S
If S⊂‚T⊂‚W, which of the above statements are true?