Question : If A is 40% less than B and C is 40% of the sum of A and B, then by what percentage is B greater than C?
Option 1: 60
Option 2: $56 \frac{1}{4}$
Option 3: $40 \frac{1}{8}$
Option 4: 36
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Correct Answer: $56 \frac{1}{4}$
Solution : Let B = 100 So, A = 60 $\therefore$ C = 40% of (60 + 100) = 64 So, B is greater than C by $= (100 - 64) × \frac{100}{64}$ $= (\frac{225}{4})\%$ $=56\frac{1}{4}\%$ Hence, the correct answer is $56\frac{1}{4}\%$.
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Question : If the salary of Manoj is 40% less than that of Subhash, then by what percentage is the salary of Subhash more than that of Manoj?
Option 1: $60$%
Option 2: $66\frac{1}{4}$%
Option 3: $66\frac{2}{3}$%
Option 4: $65$%
Question : If $a: b: c=\frac{1}{4}: \frac{1}{3}: \frac{1}{2}$, then $\frac{a}{b}: \frac{b}{c}: \frac{c}{a}=$?
Option 1: 12 : 9 : 8
Option 2: 9 : 8 : 24
Option 3: 8 : 9 : 24
Option 4: 9 : 12 : 8
Question : The sum of three fractions A, B and C, A > B > C, is $\frac{121}{60}$. When C is divided by B, the resulting fraction is $\frac{9}{10}$, which exceeds A by $\frac{3}{20}$. What is the difference between B and C?
Option 1: $\frac{1}{15}$
Option 2: $\frac{1}{10}$
Option 3: $\frac{3}{10}$
Option 4: $\frac{7}{15}$
Question : If $\frac{a^2}{b+c}=\frac{b^2}{c+a}=\frac{c^2}{a+b}=1$, then $\frac{1}{1+a}+\frac{1}{1+b}+\frac{1}{1+c}$ is:
Option 1: 1
Option 2: 2
Option 3: 3
Option 4: 4
Question : If $a+b+c=15$ and $\frac{1}{a}+\frac{1}{b}+\frac{1}{c}=\frac{71}{abc}$, then the value of $a^{3}+b^{3}+c^{3}-3abc$ is:
Option 1: 160
Option 2: 180
Option 3: 200
Option 4: 220
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