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Question 1:

A pipe can fill a cistern in $7.8$ hours while another pipe can empty it in $19.5 $ hours when the cistern is full. Both the pipes were opened when the cister was half empty. How long will it take to fill it?

Question 2:

The given bar graph shows the imports and exports (in crores) of steel by a country from 2013 to $2017.$

what is the ratio of the total imports in 2015 and 2017 to that total exports in 2013 and $2016 .$

Question 3:

A train travelling at $54 \mathrm{~km} /$ hr crosses a tree in 18 seconds. How much time (in seconds) will it take to cross a platform which is 390 $m$ long?

Question 4:

Rs.7,800 is divided into 7 friends ( 3 boys and 4 girls ). The share of boys is three times to the share of girls then find the share of boys and girls.

Question 5:

The effective rate of interest, which corresponds to the nominal rate of 6% p.a., paid half-yearly, will be:

Question 6:

Find the value of $\sin 45^{\circ}+\cos 60^{\circ}$ ?

Question 7:

A wire is in the form of a circle of radius $70 \mathrm{~cm}$. If it is bent in the form of a rhombus, then what is its side length? (Take $\pi=\frac{22}{7}$ )

Question 8:

How many numbers are divisible by 3 or 7 in the number range of 50 to 200 ?

Question 9:

A sells an article to B making a profit of $\frac{2}{7}$ of its cost. B sells it to C, gaining $11.11 \%$. If $\mathrm{C}$ sells it for Rs. 1819 and incurs a loss of $15 \%$, then what is the cost price for $\mathrm{A}$ ?

Question 10:

The slant height and base diameter of a conical tomb are $25 \mathrm{~m}$ and $14 \mathrm{m}$ respectively. Find the cost(in rupees) of white-washing its curved surface at the rate of Rs 210 per $100 \mathrm{~m}^{2}$.