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's wealth is $\frac{4}{9}$ times of B's and C's is $\frac{7}{6}$ times of B's. What is the ratio of C's wealth to A's?

Option 1: 8:21

Option 2: 21:8

Option 3: 27:14

Option 4: 14:27

Question : Directions: After interchanging the given two numbers and two signs what will be the values of equations (I) and (II) respectively?
× and ÷, 7 and 9
I. 8 × 3 ÷ 6 + 9 – 7
II. 9 – 7 × 1 + 6 ÷ 3

Option 1: 0, 8

Option 2: 14, 16

Option 3: 6, 9

Option 4: 10, 11