2 Marks Questions

Question 12 Marks

Rohan can paint $\frac{1}{3}$ of a painting in $6$ days. How many days will he take to complete the painting$?$

Answer

Rohan can paint $\frac{1}{3}\text{rd}$ of a painting in $6$ days.
$\therefore$ Time taken by Rohan to complete the painting $= (6 × 3)$ days $= 18$ days.

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Question 22 Marks

$8$ men can do a piece of work in $9$ days. In how many days will $6$ men do it$?$

Answer

It is given that $8$ men can complete a job in $9$ days.
$\therefore$ Time taken by $1$ man to complete the same job $= (8 \times 9) = 72$ days
$\therefore$ Time taken by $6$ men to complete the same job $=\frac{72}{6}=12$ days.

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Question 32 Marks

$6$ men can complete the electric fitting in a building in $7$ days. How many days will it take if $21$ men do the job$?$

Answer

It is given that $6$ men can complete a job in $7$ days.
$\therefore$ Time taken by $1$ man to complete the same job $= (6 × 7) = 42$ days
$\therefore$ Time taken by $21$ men to complete the same job $=\frac{42}{21}=2$ days.

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Question 42 Marks

Neha types $75$ pages in $14$ hours. How many pages will she type in $20$ hours$?$

Answer

It is given that Neha types $75$ pages in $14$ hours.
$\therefore$ Number of pages typed by her in $1$ hour $=\frac{75}{14}$
$\therefore$ Number of pages typed by her in $20$ hours
$=\Big(\frac{75}{14}\times20\Big)$ pages
$=\frac{1500}{14}$ pages
$=\frac{750}{7}$ pages
$=107\frac{1}{7}$ pages
Thus, Neha types $107\frac{1}{7}$ pages in $20$ hours.

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Question 52 Marks

Working $8$ hours a day, Ashu can copy a book in $18$ days. How many hours a day should he work so as to finish the work in $12$ days$?$

Answer

If Ashu works for $8$ hours daily,
he can finish the work in $18$ days If he works for $1$ hour daily,
he can finish the work in $(18 × 8)$ days or $144$ days.
$\therefore$ Number of hours he should work daily to finish the work in $12$ days $=\frac{144}{12}=12$

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Question 62 Marks

Reema weaves $35$ baskets in $25$ days. In how many days will she weave $55$ baskets$?$

Answer

It is given that Reema weaves $35$ baskets in $25$ days.
$\therefore$ Time taken by her to weave $1$ basket $=\frac{25}{35}$ days
$\therefore$ Time taken by her to weave $55$ baskets $=\Big(\frac{25}{35}\times55\Big)$ days.
$=\frac{1375}{35}$ days $=\frac{275}{7}$ days $=39\frac{2}{7}$ days

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Maths 2 Marks Questions

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