1 Marks Question

Question 11 Mark

Write $'T'$ for true and $'F'$ for false for the following: If $8$ men can finish a piece of work in $40$ days then $10$ men can finish it in $32$ days.

Answer

true.
$8$ men finish the work in $40$ days.
$1$ man finishes the work in $8 \times 40$ days. (Less men, more days taken) $10$ men will finish the work in $=\frac{8\times40}{10}=32\text{ days}$ (More men, less days taken)

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Question 21 Mark

Mark against the correct answer in the following: If $12$ workers finish a piece of work in $4$ hours, then $15$ workers will finish it in _____ hrs _____ min.

Answer

If $12$ workers finish a piece of work in $4$ hours, then $15$ workers will finish it in $3$ hrs $12$ min.
$12$ workers finish the work in $4$ h. $15$ workers will finish the work in $\frac{4\times12}{15}=3.2\text{h}=3\text{h }12\text{ min.}$

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Question 31 Mark

Write $'T'$ for true and $'F'$ for false for the following: tree $6m$ tall casts a shadow of length $4m$. At the same time a flag casts a shadow of length 50m. The length of the pole is $75m$.

Answer

true.
A 6m tall tree casts a shadow of length $4m$.
A $1m$ tall tree cast a shadow of length $\frac{4}{6}\text{m}$ A $75m$ tall pole will cast a shadow of length $\frac{4}{6}\times75=50\text{m}$

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Question 41 Mark

Fill in the blank: If $42$ men can dig a trench in $14$ days, then $1$ man can dig it in _____ days.

Answer

If $42$ men can dig a trench in $14$ days, then $1$ man can dig it in $588$ days days.
$42$ men can dig the trench in $14$ days.
$1$ man can dig the trench in $14 \times 42$ days $= 588$ days.

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Question 51 Mark

Mark against the correct answer in the following: If $15$ oranges cost $Rs\ 60$, then $12$ oranges cost Rs _____.

Answer

If $15$ oranges cost $Rs\ 60$, then $12$ oranges cost $Rs. 48$
$15$ oranges cost $Rs\ 60. 12$ oranges will cost $Rs.$ $\frac{60}{15}\times12=\text{Rs. }48$

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Question 61 Mark

Write $'T'$ for true and $'F'$ for false for the following: If a worker takes $\frac{2}{3}$ hour to make a toy. then he will make $12$ toys in $8$ hours.

Answer

true.
$1$ toy is made in $\frac{2}{3}\text{h}$ (Less toys, less time taken) $12$ toys can be made in $\frac{2}{3}\times12=8\text{h}$ (More toys, more time taken)

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