If $\frac{p}{a} + \frac{q}{b} + \frac{r}{c} = 1$ &n...

If $\frac{p}{a} + \frac{q}{b} + \frac{r}{c} = 1$ and $\frac{a}{p} + \frac{b}{q} + \frac{c}{r} = 0$ where a, b, c, p, q, r are non-zero real numbers, then $\frac{{{p^2}}}{{{a^2}}} + \frac{{{q^2}}}{{{b^2}}} + \frac{{{r^2}}}{{{c^2}}}$ is equal to = ?

Course Name: Quantitative Aptitude

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1 Discuss	The price of 2 sarees and 4 shirts is Rs. 1600. With the same money one can buy 1 saree and 6 shirts. If one wants to buy 12 shirts, how much shall he have to pay ? 1] Rs. 1200 2] Rs. 2400 3] Rs. 4800 4] Cannot be determined 5] None of these Solution
10 Discuss	One-third of Rahul's savings in National Savings Certificate is equal to one-half of his savings in Public Provident Fund. If he has Rs. 1,50,000 as total savings, how much has he saved in Public Provident Fund ? 1] Rs. 30,000 2] Rs. 50,000 3] Rs. 60,000 4] Rs. 90,000 5] None of these Solution
2 Discuss	Simplify : $\root 3 \of { - 2197} \,\times$ $\root 3 \of { - 125} \,\,\div$ $\root 3 \of {\frac{{27}}{{512}}}$ = ? 1] $\frac{{492}}{7}$ 2] $\frac{{520}}{3}$ 3] $\frac{{554}}{7}$ 4] $\frac{{571}}{5}$ Solution
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6 Discuss	The sum of $\sqrt {0.01} + \sqrt {0.81} + \sqrt {1.21} + \sqrt {0.0009} = ?$ 1] 2.1 2] 2.13 3] 2.03 4] 2.11 Solution
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9 Discuss	If $\frac{{x + 1}}{{x - 1}}{ \text{ = }}\frac{a}{b}$ and $\frac{{1 - y}}{{1 + y}}{ \text{ = }}\frac{b}{a}{ \text{,}}$ then the value of $\frac{{x - y}}{{1 + xy}}$ = ? 1] $\frac{{2ab}}{{{a^2} - {b^2}}}$ 2] $\frac{{{a^2} - {b^2}}}{{2ab}}$ 3] $\frac{{{a^2} + {b^2}}}{{2ab}}$ 4] $\frac{{{a^2} - {b^2}}}{{ab}}$ Solution
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