Question 1 :
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 2 :
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 3 :
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 4 :
If a quarter kg of green chillies cost $60$ paise, how many paise will $200$ g cost?
Question 5 :
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 :
The number of workers increased the days to complete the work decreased."is example of
Question 7 :
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 8 :
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 9 :
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 10 :
How many pieces of equal size can be cut from a rope of $30$m long, each measuring $\displaystyle 3\frac{3}{4}$m?
Question 11 :
Indicate in which of the following equations $y$ is <span>neither directly nor inversely proportional to $x$.</span>
Question 12 :
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 13 :
Working simultaneously and independently at an identical constant rate, four machines of a certain type can produce a total of x units of product P in 6 days.How many of these machines, working simultaneously and independently at this constant rate, can produce a total of 3x <span>units of product Pin 4 days?</span>
Question 14 :
The amount of time that a person spends travelling is directly proportional to the distance covered by him. If a person covers $4$ kms in $2$ hours then how much time will he take to cover $2.5$ kms?
Question 15 :
For a fixed time period and rate of interest, the simple interest is directly proportional to the principle.
Question 16 :
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 17 :
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 18 :
$y$ is inversely proportional to $x$. When $y = 3, x = 2$. Find value of $x$ when $y = 8$$
Question 19 :
If $A$ and $B$ can do a piece of work in $15$ days, $B$ and $C$ can do the same work in $20$ days and $A$ and $C$ can do ti in $30$ days, then $A$ alone can do the work in
Question 20 :
An employer reduces the number of his employees in the ratio 7 : 5 and increases their wages in the ratio 15 : 28. State his bill of total wages increase in what ratio.
Question 21 :
If $I$ varies inversely as $d^2$ and $I = 20$, when $d = 3$, what is $I$ when $d = 10$?
Question 22 :
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 23 :
If $y$ is directly proportional to $x$ and if $y=20$ when $x=6$, what is the value of $y$ when $x=9$?
Question 24 :
Pipe A can fill a cistern in $5$ hours and pipe B can fill in $20$ hours. Both Pipe are turned on but there is a leakage in bottom of the cistern. So the cistern is filled in $30$ min. more. In how many time will leakage empty the full cistern ?
Question 25 :
A painter will paint n walls with the same size and shape in a building using a specific brand of paint. The painters fee can be calculated by the expression $nKAh$, where $n$ is the number of walls, $K$ is a constant with units of dollars per square foot, A is the length of each wall in feet and $h$ is the height of each wall in feet. If the customer asks the painter to use a more expensive brand of paint, which of the factors in the expression would change?