Question : Find the fourth proportion of the numbers $\frac{1}{3}{rd}$ of 15, $\frac{4}{5}{th}$ of 25, $\frac{3}{7}{th}$ of 35:

Option 1: 65

Option 2: 55

Option 3: 60

Option 4: 50

Question : If a sum of money at simple interest becomes 45 times in 110 years, then in how many years will that sum become 23 times?

Option 1: 48

Option 2: 60

Option 3: 55

Option 4: 50

Question : Find the third proportional of 25 and 45.

Option 1: 85

Option 2: 65

Option 3: 81

Option 4: 76

Question : $\sin^2 35^{\circ}+\sin^2 55^{\circ}=$_______.

Option 1: $0$

Option 2: $1$

Option 3: $2\sin 35^\circ$

Option 4: $2\sin 55^\circ$

Question : A 40-litre mixture of milk and water contains milk and water in the ratio of 7 : 3. How many litres of water should be added to the mixture so that the resulting mixture has 60% water in it?

Option 1: 30

Option 2: 35

Option 3: 20

Option 4: 25