Topics

61). What is the value of $$\Large \frac{725 \times 725 \times 725+371 \times 371 \times 371}{725 \times 725-725 \times 371+371 \times 371}=?$$
 A). 9610 B). 1960 C). 1096 D). 1016
62). If $$\Large a^{2}+b^{2}=234\ and\ ab=108$$, value of $$\Large \frac{a+b}{a-b}$$
 A). 10 B). 8 C). 5 D). 4
63). If $$\Large 0.764 y = 1.236 x$$, then what is the value of $$\Large \left(\frac{y-x}{y+x}\right)?$$
 A). 0.764 B). 0.236 C). 2 D). 0.472
64). $$\Large \frac{ \left(m-n\right)^{3}+ \left(n-r\right)^{3}+ \left(r-m\right)^{3} }{6 \left(m-n\right) \left(n-r\right) \left(r-m\right) }=?$$
 A). $$\Large \frac{1}{2}$$ B). $$\Large \frac{1}{3}$$ C). $$\Large \frac{1}{4}$$ D). $$\Large \frac{1}{6}$$
65). If $$\Large a+b+c=14\ and\ a^{2}+b^{2}+c^{2}=96$$, then $$\Large \left(ab+bc+ca\right)=?$$
 A). 51 B). 55 C). 50 D). 65

66). $$\Large \left(1-\frac{1}{2}\right) \left(1-\frac{1}{3}\right) \left(1-\frac{1}{4}\right) \left(1-\frac{1}{5}\right)...... \left(1-\frac{1}{m}\right)=?$$
 A). $$\Large \frac{1}{m}$$ B). m C). m+1 D). $$\Large \frac{1}{ \left(m-1\right) }$$
67). If $$\Large a+\frac{1}{a}=\sqrt{3}$$, then the value of $$\Large a^{6}-\frac{1}{a^{6}}+2$$ will be
 A). $$\Large 3\sqrt{3}$$ B). 5 C). 1 D). 2
68). If $$\Large x+\frac{1}{x}=2,\ then\ x- \frac{1}{x}$$is ?
 A). 0 B). 1 C). 2 D). -2
69). If $$\Large \left(x^{2}+\frac{1}{x^{2}}\right)=\frac{17}{4}$$ , then what is $$\Large \left(x^{3}-\frac{1}{x^{3}}\right)$$ equal to?
 A). $$\Large \frac{75}{16}$$ B). $$\Large \frac{63}{8}$$ C). $$\Large \frac{95}{8}$$ D). None of the above.
70). A board 80 inches long is divided into 4 equal parts. What is the length of each part?
 A). 20 inches B). 25 inches C). 15 inches D). 18 inches
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Total Pages : 85