1 Mark 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.
Solution:
8 men finish the work in 40 days.
1 man finishes the work in 8 × 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.
Solution:
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.
Solution:
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.
Solution:
42 men can dig the trench in 14 days.
1 man can dig the trench in 14 × 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
Solution:
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.
Solution:
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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Maths 1 Mark Question

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