Question : A, B and C invested capital in the ratio 5 : 7 : 4, the timing of their investments being in the ratio x : y : z. If their profits are distributed in the ratio 45 : 42 : 28, then x : y : z =?

Option 1: 9 : 6 : 7

Option 2: 7 : 9 : 4

Option 3: 9 : 4 : 7

Option 4: 6 : 7 : 9

Question : The radii of two cylinders are in the ratio 3 : 4 and their heights are in the ratio 8 : 5. The ratio of their volumes is equal to:

Option 1: 9 : 10

Option 2: 8 : 9

Option 3: 9 : 11

Option 4: 7 : 10

Question : If $a+b+c=7$ and $a^3+b^3+c^3-3abc=175$, then what is the value of $(a b+b c+c a)$?

Option 1: 8

Option 2: 9

Option 3: 7

Option 4: 6

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 : If $\frac{(a+b)}{c}=\frac{6}{5}$ and $\frac{(b+c)}{a}=\frac{9}{2}$, then what is the value of $\frac{(a+c)}{b}\; ?$

Option 1: $\frac{9}{5}$

Option 2: $\frac{11}{7}$

Option 3: $\frac{7}{11}$

Option 4: $\frac{7}{4}$