Question : Raman, Rohit, and Raja are partners and invest in a business. Raman invests $\frac{1}{4}$th of the total and Rohit invests $\frac{1}{3}$rd of the total. What is the ratio of profit of Raman, Rohit, and Raja respectively?

Option 1: 4 : 3 : 1

Option 2: 3 : 4 : 4

Option 3: 3 : 4 : 5

Option 4: 4 : 3 : 5

Question : The radii of two cylinders are in the ratio of 4 : 5 and their heights are in the ratio of 5 : 2. The ratio of their volume is:

Option 1: 9 : 4

Option 2: 2 : 1

Option 3: 9 : 7

Option 4: 8 : 5

Question : The value of 7 ÷ [5 + 1 ÷ 2 - {4 + (4 of 2 ÷ 4) + (5 ÷ 5 of 2)}] is:

Option 1: $7$

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

Option 3: $-7$

Option 4: $-\frac{7}{2}$

Question : The diagonals of two squares are in the ratio of 3 : 7. What is the ratio of their areas?

Option 1: 3 : 7

Option 2: 9 : 49

Option 3: 4 : 7

Option 4: 7 : 3

Question : The ratio of two numbers is 3 : 5. If eight is added to the first, and seven to the second, then the ratio becomes 2 : 3. What will the ratio become if six is added to each?

Option 1: 9 : 14

Option 2: 5 : 7

Option 3: 5 : 9

Option 4: 7 : 9