Recent questions tagged ratio-proportion

1
What is the value of $x$ when $81\times\left (\frac{16}{25} \right )^{x+2}\div\left (\frac{3}{5} \right )^{2x+4}=144?$ $1$ $-1$ $-2$ $\text{Can not be determined}$
2
Three friends, $R, S$ and $T$ shared toffee from a bowl. $R$ took $\frac{1}{3}^{\text{rd}}$ of the toffees, but returned four to the bowl. $S$ took $\frac{1}{4}^{\text{th}}$ of what was left but returned three toffees to the bowl. $T$ took half of the ... but returned two back into the bowl. If the bowl had $17$ toffees left, how may toffees were originally there in the bowl? $38$ $31$ $48$ $41$
3
The ratio of the number of boys and girls who participated in an examination is $4:3.$ The total percentage of candidates who passed the examination is $80$ and the percentage of girls who passed the exam is $90.$ The percentage of boys who passed is _______. $55.50$ $72.50$ $80.50$ $90.00$
4
A person divided an amount of Rs. $100,000$ into two parts and invested in two different schemes. In one he got $10 \%$ profit and in the other he got $12 \%$. If the profit percentages are interchanged with these investments he would have got Rs. $120$ less. Find the ratio between his investments in the two schemes. $9:16$ $11:14$ $37:63$ $47:53$
5
Two alloys $A$ and $B$ contain gold and copper in the ratios of $2:3$ and $3:7$ by mass, respectively. Equal masses of alloys $A$ and $B$ are melted to make an alloy $C$. The ratio of gold to copper in alloy $C$ is ______. $5:10$ $7:13$ $6:11$ $9:13$
1 vote
6
In manufacturing industries, loss is usually taken to be proportional to the square of the deviation from a target. If the loss is Rs. $4900$ for a deviation of $7$ units, what would be the loss in Rupees for a deviation of $4$ units from the target? $400$ $1200$ $1600$ $2800$
1 vote
7
The price of a wire made of a super alloy material is proportional to the square of its length. The price of $10 m$ length of the wire is Rs. $1600$. What would be the total price (in Rs.) of two wires of length $4m$ and $6m$ ? $768$ $832$ $1440$ $1600$
8
In a party, $60\%$ of the invited guests are male and $40\%$ are female.If $80\%$ of the invited guests attended the party and if all the invited female guests attended, what would be the ratio of males to females among the attendees in the party? $2\colon 3$ $1\colon 1$ $3\colon 2$ $2\colon 1$
9
If $pqr \ne 0$ and $p^{-x}=\dfrac{1}{q},q^{-y}=\dfrac{1}{r},r^{-z}=\dfrac{1}{p},$ what is the value of the product $xyz$ ? $-1$ $\dfrac{1}{pqr}$ $1$ $pqr$
10
The total exports and revenues from the exports of a country are given in the two pie charts below. The pie chart for exports shows the quantity of each item as a percentage of the total quantity of exports. The pie chart for the revenues shows the percentage of the total revenue generated ... $4$ per kilogram? $1:2$ $2:1$ $1:4$ $4:1$
11
The smallest angle of a triangle is equal to two thirds of the smallest angle of a quadrilateral. The ratio between the angles of the quadrilateral is $3:4:5:6.$ The largest angle of the triangle is twice its smallest angle. What is the sum, in degrees, of the second largest angle of the triangle and the largest angle of the quadrilateral?
12
If $3 \leq X \leq 5$ and $8 \leq Y \leq 11$ then which of the following options is TRUE? $\left(\dfrac{3}{5} \leq \dfrac{X}{Y} \leq \dfrac{8}{5}\right)$ $\left(\dfrac{3}{11} \leq \dfrac{X}{Y} \leq \dfrac{5}{8}\right)$ $\left(\dfrac{3}{11} \leq \dfrac{X}{Y} \leq \dfrac{8}{5}\right)$ $\left(\dfrac{3}{5} \leq \dfrac{X}{Y} \leq \dfrac{8}{11}\right)$
13
If $m$ students require a total of $m$ pages of stationery in $m$ days, then $100$ students will require $100$ pages of stationery in $100$ days $m /100$ days $100/m$ days $m$ days
14
In a process, the number of cycles to failure decreases exponentially with an increase in load. At a load of $80$ units, it takes $100$ cycles for failure. When the load is halved, it takes $10000 \ \text{cycles}$ for failure.The load for which the failure will happen in $5000 \ \text{cycles}$ is _____________. $40.00$ $46.02$ $60.01$ $92.02$
15
A cube of side $3$ units is formed using a set of smaller cubes of side $1$ unit. Find the proportion of the number of faces of the smaller cubes visible to those which are NOT visible. $1: 4$ $1: 3$ $1: 2$ $2: 3$
16
The resistance of a wire is proportional to its length and inversely proportional to the square of its radius. Two wires of the same material have the same resistance and their radii are in the ratio $9:8$. If the length of the first wire is $162$cms, find the length of the other. $64$cm $120$cm $128$cm $132$cm
A body at a temperature of $30$ Celsius is immersed into a heat bath at $0$ Celsius at time $t = 0$. The body starts cooling at a rate proportional to the temperature difference. Assuming that the heat bath does not change in temperature throughout the process, calculate the ratio of the time taken for ... $\dfrac{\log 29}{\log 25}$. $\large e^{5}$. $1 + \log_{6} 5$. None of the above.
A large community practices birth control in the following peculiar fashion. Each set of parents continues having children until a son is born; then they stop. What is the ratio of boys to girls in the community if, in the absence of birth control, 51% of the babies are born male? $51:49$ $1:1$ $49:51$ $51:98$ $98:51$