Question : Three tankers contain 403 litres, 434 litres and 465 litres of diesel respectively. Then the maximum capacity of a container that can measure the diesel of the three containers an exact number of times is:

Option 1: 31 litres

Option 2: 62 litres

Option 3: 41 litres

Option 4: 84 litres

Question : Three containers whose volumes are in the ratio of 2 : 3 : 4 are full of a mixture of spirit and water. In the 1st container, the ratio of spirit and water is 4 : 1, in the second container the ratio is 11 : 4 and in the 3rd container the ratio is 7 : 3. All three mixtures are mixed in a big container. The ratio of spirit and water in the resultant mixture is:

Option 1: 4 : 9

Option 2: 11 : 4

Option 3: 5 : 10

Option 4: 9 : 5

Question : $\frac{6}{7}$ part of a tank is filled with oil. After taking out 60 litres of oil, the tank is $\frac{4}{5}$ part full. What is the capacity (in litres) of the tank?

Option 1: 350

Option 2: 700

Option 3: 360

Option 4: 1050

Question : The sides $P Q$ and $P R$ of $\triangle P Q R$ are produced to points $S$ and $T$, respectively. The bisectors of $\angle S Q R$ and $\angle T R Q$ meet at $\mathrm{U}$. If $\angle \mathrm{QUR}=59^{\circ}$, then the measure of $\angle \mathrm{P}$ is:

Option 1: 31^o

Option 2: 62^o

Option 3: 41^o

Option 4: 49^o

Question : Pipe A can fill a tank of capacity 350 litres in $3 \frac{1}{2}$ minutes. Pipe B can fill a tank of capacity 780 litres in $8 \frac{2}{3}$ minutes. How long (in min) will it take to fill a tank of capacity 1615 litres, if both pipes are opened together?

Option 1: $9$

Option 2: $7 \frac{1}{2}$

Option 3: $8 \frac{1}{2}$

Option 4: $8$

Question : The measure of three angles of a quadrilateral are in the ratio 1 : 2 : 3. If the sum of these three measures is equal to the measure of the fourth angle, then find the smallest angle.

Option 1: $30^\circ$

Option 2: $40^\circ$

Option 3: $60^\circ$

Option 4: $50^\circ$