Question types

Fractions question types

153 questions across 7 question groups — pick any mix to generate a MATHS paper with step-by-step answer keys.

153
Questions
7
Question groups
5
Question types
Sample Questions

Fractions questions

One sample from each question group in this chapter. Select any group above to see the full set with answer keys.

Q 15[4 marks sum]4 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) $\frac{13}{18}$
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Q 16[4 marks sum]4 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
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Q 30MCQ1 Mark
Which of the following is a proper fraction?
  • A
    $\frac{5}{5}$
  • B
    $\frac{6}{5}$
  • C
    $\frac{4}{3}$
  • $\frac{3}{4}$

Answer: D.

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Q 31MCQ1 Mark
Which of the following is an improper fraction?
  • A
    $\frac{5}{7}$
  • B
    $\frac{4}{7}$
  • $\frac{7}{7}$
  • D
    $\frac{2}{3}$

Answer: C.

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Q 32MCQ1 Mark
Which of the following are the like fractions?
  • A
    $\frac{2}{3}, \frac{2}{5}, \frac{2}{7}, \frac{2}{9}$
  • B
    $\frac{2}{3}, \frac{3}{4}, \frac{4}{5}, \frac{5}{6}$
  • $\frac{1}{5}, \frac{2}{5}, \frac{3}{5}, \frac{4}{5}$
  • D
    none of these

Answer: C.

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Q 33MCQ1 Mark
If $\frac{3}{x}$ is equivalent to $\frac{45}{60}$, then the value of $x$ is
  • 4
  • B
    5
  • C
    6
  • D
    20

Answer: A.

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