Question 1 :
Two variables, $v$ and $w$, are inversely proportional such that when $v = 7, w = 14$. What is the value of w when $v = 2$?
Question 2 :
A stone is dropped into a well and the report of the stone striking the bottom is heard $7.7$ seconds after it is dropped. Assume that the stone falls $16t^2m$ in t seconds and that the velocity of sound is $1,120$ per second. The depth of the well is:
Question 3 :
Given two quantities x and y. If an increase in x. Cause a proportionats decrease in y (and vice-verse) such that their product remain constant then x and <span>y are said to be</span>
Question 4 :
Production of wheat is $\displaystyle 2\frac{1}{4}$ times that of rice but the cost of rice is $\displaystyle 1\frac{1}{4}$ times that of wheat. If a farmer produces wheat in place of rice, then what is his income in terms of the previous income?
Question 6 :
A supply of food lasts for a week for $25$ families. How long would it last if $5$ more families are to be supplied?
Question 7 :
In a boys hostel, there is food provision for $25\ boys$ for some days but for $10$ extra boys the food provision also decreases by $10\ days$. If there are $125\ boys$ then the number of days the food will test is
Question 8 :
My car travels $128\:km$ on $12\:litres$ of petrol. How far do I expect it to travel on a full tank of $30\:litres$?
Question 9 :
In a boys hostel, there is food provision for $25\ boys$ for some days but for $10$ extra boys the food provision also decreases by $10\ days$. If there are $125\ boys$ then the number of days the food will test is
Question 10 :
Four angles of a quadrilateral are in the ratio $3:5:7:9$. The greatest angle is _________.
Question 11 :
A man completes $\displaystyle\frac{5}{8}$ of a job in $10$ days. At this rate, how many more days will it take him to finish the job?
Question 12 :
Production of wheat is $\displaystyle 2\frac{1}{4}$ times that of rice but the cost of rice is $\displaystyle 1\frac{1}{4}$ times that of wheat. If a farmer produces wheat in place of rice, then what is his income in terms of the previous income?
Question 13 :
If $x$ and $y$ vary inversely as each other, and $x = 10$ when $y = 6$. Find $y$ when $x = 15$.
Question 14 :
If $x$ & $y$ are in inverse proportion then find proportionality constant at $x=3,\;y=2$
Question 15 :
If $x = 6$ when $y = 5$ and $x$ varies directly as $y$, calculate the value of $x$, when $y = 2$.
Question 16 :
If $y$ is inversely proportional to $x$, how does $y$ change when $x$ is doubled?
Question 17 :
$36$ men can construct a bridge in $18$ days. In how many days will $27$ men complete the construction?
Question 18 :
A van travels $210\ km$ in $3$ hours. How far can it travel in $5$ hours?
Question 20 :
A car travels $40\ kms$ in $30$ mins. If the speed of bus remains same, how far can it travel in $3$ hrs?
Question 21 :
A began a business with Rs. 45000 and B joined after wards with Rs.30000. At the end of a year the profit is divided in the ratio 2 : 1. After how many months B joined?
Question 22 :
A man takes $150 $ steps in walking $120$ meters. I<span>f he takes $3$ steps in one second, t</span><span>hen his speed in m/s is equal to</span>
Question 23 :
If a sprinter takes $40$ steps in $11$ seconds. How many steps does he take in $55$ seconds ?<br/>
Question 24 :
If $ 5 $ men can paint a wall $100$ metres long in $10$ days of a $8$ hours each. In how many days of $6$ hours each will $8 $men paint a wall $30$ metres long?
Question 25 :
The equation $\displaystyle p=\frac { 2n }{ 3 } -10$ shows the profit, $p$, from selling $n$ cups of lemonade. Which of the following best describes the relationship between $p$ and $n$?
Question 26 :
If $ 5 $ men can paint a wall $100$ metres long in $10$ days of a $8$ hours each. In how many days of $6$ hours each will $8 $men paint a wall $30$ metres long?
Question 27 :
If $ a$ is directly proportional to $b$ and $b$ is inversely proportional to $c.$ Then what is the proportionality between $a$ and $c$?
Question 28 :
<i></i>Bohr rented a minivan at A's Auto for $ $60.00$ per day with tax included, plus $ $0.25$ per mile. If he rented it for $3$ days and was charged $ $206.00$, calculate the number of miles he drove.
Question 29 :
If $y=kx$, where $k$ is a constant, and $y=24$ when $x=6$, what is the value of $y$ when $x=5$?
Question 30 :
Raj drives at $56\ km/h$ and completes a journey in $4$ hours. If he drives at $64\ km/h$, what is time taken to complete the same journey?
Question 31 :
Indicate in which of the following equations $y$ is <span>neither directly nor inversely proportional to $x$.</span>
Question 32 :
At a particular time of the day, the ratio of length of a tree and the length of its shadow is found to be $2.5$. Now the length of the shadow of a pole is $8\;m$. The length of the pole is ......... .
Question 34 :
In a fort, $600$ men had provisions for $180$ days. After $40$ days, $100$ men left the fort. For how many days does the remaining food last?
Question 35 :
A certain number of men can finish a piece of work in 100 days. If, there were 10 men less, it would take 10 days more for the work to be finished. How many men were there originally ?