Question : In an examination, the number of students who passed and the number of students who failed were in the ratio 25 : 4. If one more student had appeared and passed and the number of failed students was 3 less than earlier, the ratio of passed students to failed students would have become 22 : 3. What is the difference between the number of students who, initially, passed the examination and the number of students who failed the examination?

Option 1: 132

Option 2: 126

Option 3: 174

Option 4: 150

Question : A, B, and C made certain investments and the ratio of their time periods is 3 : 2 : 7 respectively. The ratio of the profits of A, B, and C is 4 : 3 : 14 respectively. What is the ratio of the investments of A, B, and C?

Option 1: 1 : 3 : 4

Option 2: 7 : 9 : 11

Option 3: 8 : 9 : 12

Option 4: 2 : 3 : 11

Question : The radii of two cylinders are in the ratio 2 : 3 and their heights are in the ratio 5 : 3. The ratio of their volumes is _______.

Option 1: 27 : 20

Option 2: 20 : 27

Option 3: 4 : 9

Option 4: 9 : 4

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 : 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