Question : The students in three classes are in the ratio 4 : 6 : 9. If 12 students are increased in each class, the ratio changes to 7 : 9 : 12. Then, the total number of students in the three classes before the increase is:

Option 1: 95

Option 2: 76

Option 3: 100

Option 4: 114

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 : Which of the following is the smallest ratio?
$\frac{5}{6}, \frac{7}{9}, \frac{11}{12}, \frac{13}{18}$

Option 1: $\frac{7}{9}$

Option 2: $\frac{13}{18}$

Option 3: $\frac{5}{6}$

Option 4: $\frac{11}{12}$

Question : Directions: By Interchanging the given two numbers which of the following equations will be not correct?
7 and 4

Option 1: 8 ÷ 6 × 9 + 7 – 4 = 12

Option 2: 7 × 8 + 4 – 6 ÷ 3 = 37

Option 3: 9 – 4 × 3 + 6 × 7 ÷ 1 = 12

Option 4: 4 × 8 – 9 ÷ 3 + 7 = 57

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 : The ratio of the monthly incomes of X and Y is 5 : 4 and that of their monthly expenditures is 9 : 7. If the income of Y is equal to the expenditure of X, then what is the ratio of the savings of X and Y?

Option 1: 9 : 8

Option 2: 6 : 7

Option 3: 8 : 9

Option 4: 7 : 6