Related InterviewSolutions

• Write down the numerator of each of the following rational numbers:(i) (-7/5)(ii) (14/-4)(iii) (-17/-21)(iv) (8/9)(v) 5
• Fill in the blanks:(i) (-4/13) – (-3/26) = …..(ii) (-9/14) + ….. = -1(iii) (-7/9) + ….. = 3(iv) ….. + (15/23) = 4
• Verify whether the given statement is true or false:(i) \((\frac{5}{9}\div\frac{1}{3})\) \(\div\frac{5}{2}= \frac{5}{9}\div(\frac{1}{3}\div\frac{5}{2})\)(ii) \(\{(-16)\div\frac{6}{5}\}\div\frac{-9}{10}= (-16)\div\{\frac{6}{5}\div\frac{-9}{10}\}\)(iii) \((\frac{-3}{5}\div\frac{-12}{35})\div\frac{1}{14}= \frac{-3}{5}\div(\frac{-12}{35}\div\frac{1}{14})\)
• Find the value of:(i) \((\frac{5}{8})^{-1}\)(ii) \((\frac{-4}{9})^{-1}\)(iii) \((-7)^{-1}\)(iv) \((\frac{1}{-3})^{-1}\)
• Name the property of multiplication illustrated by each of the following statements:(i) \(\frac{-15}{8}\times\frac{-12}{7}= \frac{-12}{7}\times\frac{-15}{8}\)(ii) \((\frac{-2}{3}\times\frac{7}{9})\times\frac{-9}{5}= \frac{-2}{3}\times(\frac{7}{9}\times\frac{-9}{5})\)(iii) \(\frac{-3}{4}\times(\frac{-5}{6}+\frac{7}{8})= (\frac{-3}{4}\times\frac{-5}{6})+(\frac{-3}{4}\times\frac{7}{8})\)(iv) \(\frac{-16}{9}\times1=1\times\frac{-16}{9}=\frac{-16}{9}\)(v) \(\frac{-11}{15}\times\frac{15}{-11}= \frac{15}{-11}\times\frac{-11}{15}=1\)(vi) \(\frac{-7}{5}\times0= 0\)
• Verify whether the given statement is true or false:(i) \(\frac{13}{5}\div\frac{26}{10}= \frac{26}{10}\div\frac{13}{5}\)(ii) \(-9\div\frac{3}{4}= \frac{3}{4}\div(-9)\)(iii) \(\frac{-8}{9}\div\frac{-4}{3}= \frac{-4}{3}\div\frac{-8}{9}\)(iv) \(\frac{-7}{24}\div\frac{3}{-16}= \frac{3}{-16}\div\frac{-7}{24}\)
• Verify the following:(i) \(\frac{3}{7}\times(\frac{5}{6}+\frac{12}{13})=(\frac{3}{7}\times\frac{5}{6})+(\frac{3}{7}\times\frac{12}{13})\)(ii) \(\frac{-15}{4}\times(\frac{3}{7}+\frac{-12}{5}) =(\frac{-15}{4}\times\frac{3}{7})+(\frac{-15}{4}\times\frac{-12}{5})\)(iii) \((\frac{-8}{3}+\frac{-13}{12})\times\frac{5}{6} =(\frac{-8}{3}\times\frac{5}{6})+(\frac{-13}{12}\times\frac{5}{6})\)(iv) \(\frac{-16}{7}\times(\frac{-8}{9}+\frac{-7}{6}) =(\frac{-16}{7}\times\frac{-7}{6})\)
• Verify  that - (-x) = x for.(i) x = 11/15(ii) x = 13/17
• Three numbers are in the ratio 2:3:4. The sum of their cubes is 33957. Find the numbers.
• Find the ones digit in the cubes of each of the following numbers,(i) 17(ii) 12(iii) 38(iv) 53(v) 71(vi) 84