Question
In the following, find the marked unknown angle:

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A drum of kerosene is $\frac{3}{4}$ full. When 30 litres of kerosene is drawn from it, it remains $\frac{7}{12}$ full.
1. The capacity of the drum is :
(a) $120 l$$\quad$(b) $150 l$$\quad$(c) $180 l$$\quad$(d) $168 l$
2. The quantity of kerosene in the drum is:
(a) $135 l$$\quad$(b) $115 l$$\quad$(c) $125 l$$\quad$(d) $108 l$
3. If $15 l$ of kerosene is added to the drum, what fraction of the capacity would be filled?
(a) $\frac{1}{2}$$\quad$(b) $\frac{2}{3}$$\quad$(c) $\frac{5}{6}$$\quad$(d) $\frac{5}{12}$
4. If $35 l$ of kerosene is drawn from the drum, what fraction of the capacity would be filled?
(a) $\frac{5}{9}$$\quad$(b) $\frac{7}{9}$$\quad$(c) $\frac{11}{18}$$\quad$(d) $\frac{13}{18}$
Ratio of the distance of the school from A’s home to the distance of the school from B’s home is 2 : 1.
(i) Who lives nearer to the school?
(ii) Complete the following table:
A number is increased by 12 and the new number obtained is multiplied by 5. If the resulting number is 95, find the original number.
Simplify : $3 \frac{7}{8}-\left\{1 \frac{3}{8} \div\left(2 \frac{4}{5}-1 \frac{7}{10}\right)\right\}$
The measures of two complementary angles are (2x – 7)° and (x + 4)°. Find x.
Simplify : $2 \frac{2}{7}$ of $15 \frac{3}{4} \times 2 \frac{1}{4} \div \frac{4}{7}$ of $2 \frac{5}{8}$
Find the L.C.M. of the following, use common division method : 8, 10, 12, 16
Simplify : $3 \div\left[3 \times\left\{3-\left(3-\frac{1}{4}\right)\right\}\right]$
By weight, $90\%$ of tomato and $78\%$ of potato is water. Find the weight of water in $25\ kg$ of tomato.
Solve : $5 \frac{2}{3}- z =2 \frac{1}{2}$