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15 questions · self-marked practice — reveal the answer and mark yourself.

Question 14 Marks
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) $\frac{13}{18}$
Answer
1. C, 2. A, 3. C, 4. A
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Question 24 Marks
A man spends $\frac{2}{5}$ of his salary on house-rent, $\frac{3}{10}$ of his salary on food and $\frac{1}{8}$ of his salary on conveyance. He saves the remaining ₹ 10500.
1. The total salary of the man is:
(a) ₹ 52500$\quad$(b) ₹ 55000$\quad$(c) ₹ 57500$\quad$(d) ₹ 60000
2. The amount spent on house-rent is:
(a) ₹ 30000$\quad$(b) ₹ 26000$\quad$(c) ₹ 24000$\quad$(d) ₹ 28000
3. The amount spent on food is :
(a) ₹ 18000$\quad$(b) ₹ 20000$\quad$(c) ₹ 22500$\quad$(d) ₹ 24000
4. The amount spent on conveynce is:
(a) ₹ 12000$\quad$(b) ₹ 10500$\quad$(c) ₹ 7500$\quad$(d) ₹ 15000
Answer
1. D, 2. C, 3. A, 4. C
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Question 34 Marks
Simplify : $\left(\frac{14}{15} \div 1 \frac{1}{6}+\frac{7}{10}\right) \times \frac{3}{4}$
Answer
$1 \frac{1}{8}$
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Question 44 Marks
Simplify : $\left(\frac{2}{3}+\frac{4}{9}\right)$ of $\frac{3}{5} \div 1 \frac{2}{3} \times 1 \frac{1}{4}-\frac{1}{3}$
Answer
$\frac{1}{6}$
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Question 64 Marks
Simplify : $2 \frac{2}{7}$ of $15 \frac{3}{4} \times 2 \frac{1}{4} \div \frac{4}{7}$ of $2 \frac{5}{8}$
Answer
54
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Question 74 Marks
Simplify : $3 \frac{2}{3}-\frac{3}{11}$ of $2 \frac{3}{4} \div 1 \frac{1}{4} \times 1 \frac{2}{3}+\frac{1}{3}$
Answer
3
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Question 84 Marks
Simplify : $6 \frac{1}{5} \div 3 \frac{1}{10}$ of $2 \frac{1}{2} \div \frac{1}{4}$
Answer
$3 \frac{1}{5}$
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Question 114 Marks
Simplify : $5 \frac{1}{3}-\left[2 \frac{1}{3} \div\left\{\frac{3}{4}-\frac{1}{2} \times\left(\frac{7}{10}-\frac{3}{5}\right)\right\}\right]$
Answer
2
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Question 134 Marks
Simplify : $3 \frac{7}{8}-\left\{1 \frac{3}{8} \div\left(2 \frac{4}{5}-1 \frac{7}{10}\right)\right\}$
Answer
$2 \frac{5}{8}$
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Question 144 Marks
Simplify : $\left(\frac{1}{4}-\frac{1}{9}\right) \div\left(\frac{1}{2}+\frac{1}{4} \div \frac{1}{3}\right)$
Answer
$\frac{1}{9}$
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Question 154 Marks
Simplify : $\frac{1}{3}\left(2 \frac{1}{2}+3 \frac{1}{3}\right) \div \frac{2}{9}\left(3 \frac{1}{8}-1 \frac{1}{12}\right)$
Answer
$4 \frac{2}{7}$
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[4 marks sum] - MATHS STD 6 Questions - Vidyadip