Question 1 :
A wheel that has 6 cogs is meshed with a larger wheel of 14 cogs. When the smaller wheel has made 21 revolutions, then the number of rev.olutions made by the larger wheel is
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 :
A bottle contains $920$ ml of mustard oil. The total quantity of oil contained in $25$ such bottles, is _________.
Question 4 :
If $y$ is inversely proportional to $x$, how does $y$ change when $x$ is doubled?
Question 5 :
A garrison of $500$ men had provision for $27$ days. After $3$ days a reinforcement of $300$ men arrived. For how many more days will the remaining food last now?
Question 6 :
If $x = 6$ when $y = 5$ and $x$ varies directly as $y$, calculate the value of $x$, when $y = 2$.
Question 7 :
Suppose $2$ kg of sugar contains $9 \times 10^6$ crystals.<br/>How many sugar crystals are there in $5$ kg of sugar? <br/>
Question 8 :
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 :
If $32$ horses need $112\ kg$ of grains in a certain period, find the quantity of grains needed by $16$ horses during the same period.
Question 11 :
The statement "$y$ varies inversely with the square of $x$" means
Question 12 :
If the cost price of 50 identical products is $ $y $ then the cost price of $4$ such products , in $, is :<br/><br/>
Question 13 :
If $x$ and $y$ are in direct proportion, then $(x-1)$ and $(y-1)$ are also in direct proportion.
Question 14 :
The cost of diamond varies directly as the square of its weight. A diamond weight $10$ grams cost $Rs\, 8,000$. If it breaks into two pieces whose weights are in the ratio $3: 2$, then the loss incurred (in rupees)
Question 15 :
When the speed is kept is kept fixed, time and distance vary inversely with each other.
Question 16 :
The "luminous flux", or perceived brightness, of a light source is measured in lumens and is inversely proportional to the square of the distance from the light. If a light source produces $200$ lumens at a distance of $3$ meters, at what distance will the light source produce a luminous flux of $25$ lumens?
Question 17 :
In the formula $s = \dfrac{1}{2} gt^2$, where $g$ is a constant, the effect of tripling the value of $t$ is to
Question 18 :
$60$ litres of diesel is required to travel $600km$ using a $800$<span>cc</span> engine. If the volume of diesel required to cover a distance varies directly as the capacity of the engine, then how many litres of diesel is required to travel $800kms$ using $1200$<span>cc</span> engine?
Question 19 :
If $d$ varies directly as the square of $t$ and if $d = 18$, when $t = 3$, the value of $d$ when $t = 5$ is
Question 20 :
The "luminous flux", or perceived brightness, of a light source is measured in lumens and is inversely proportional to the square of the distance from the light. If a light source produces $200$ lumens at a distance of $3$ meters, at what distance will the light source produce a luminous flux of $25$ lumens?
