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Ratio
Question 161 [CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER] |
If Rs. x are divided between A and B in the ratio a/b : c/d, then A gets rupees -
adx/(ad + bc) | |
adx/(ab + cd) | |
abx/(ad + bc) | |
abx/(ac + bd) |
Question 161 Explanation:
\begin{align} & {\text{A}}:{\text{B}} = \frac{a}{b}:\frac{c}{d} \cr & = \left( {\frac{a}{b} \times bd} \right):\left( {\frac{c}{d} \times bd} \right) \cr & = ad:bc. \cr & \therefore {\text{A's share}} \cr & = Rs.\left( {\frac{{adx}}{{ad + bc}}} \right). \cr\end{align}
Question 162 [CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER] |
The ratio of water and milk in a 30 liter mixture is 7:3. Find the quantity of water to be added to the mixture in order to make this ratio 6:1.
33 | |
35 | |
30 | |
32 |
Question 162 Explanation:
Here, Let water = 7x and milk = 3x.
Now,
7x +3x = 30.
x = 3.
So, water = 7x = 7*3 = 21 liter.
Milk = 3x = 3*3 = 9 liter.
Now, we keep milk constant and add water to mixture to get ratio 6:1.
Let water in this mixture = 6y and milk = y.
We have, milk = 9 liter, so y = 9 liter.
Water = 6y = 6*9 = 54 liter.
Then extra water to be added is 33 liter.
Question 163 [CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER] |
A man ordered 4 pairs of black socks and some pairs of brown socks. The price of a pair of black socks is double that of a brown pair. While preparing the bill the clerk interchanged the number of black and brown pairs by mistake which increased the bill by 50% . The ratio of the number of black and brown pairs of socks in the original order was =?
1 : 4 | |
1 : 2 | |
4 : 1 | |
2 : 1 |
Question 163 Explanation:
| Black | : | Brown | |
| Pairs | 4 | : | x |
| Price | 8 | : | x |
| 8 | : | x |
| Black | : | Brown | |
| Pairs | x | : | 4 |
| Price | 2 | : | 1 |
| 2x | : | 4 |
According to the question, \begin{align} & \therefore {\text{3}}\left( {8 + x} \right) = 2\left( {2x + 4} \right) \cr & \Rightarrow 24 + 3x = 4x + 8 \cr & \Rightarrow x = 16 \cr & \therefore {\text{ Brown pairs}} = 16 \cr & \therefore {\text{Black pairs}} = 4 \cr & \therefore {\text{Ratio}} \Rightarrow 1:4 \cr\end{align}
Question 164 [CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER] |
A and B together have Rs. 1210. If 4/15 of A's amount is equal to 2/5 of B's amount, how much amount does B have?
Rs. 460 | |
Rs. 664 | |
Rs. 484 | |
Rs. 550 |
Question 164 Explanation:
\begin{align} & \frac{4}{{15}}A = \frac{2}{5}B \cr & \Rightarrow A = \left( {\frac{2}{5} \times \frac{{15}}{4}} \right)B \cr & \Rightarrow A = \frac{3}{2}B \cr & \Rightarrow \frac{A}{B} = \frac{3}{2} \cr & \Rightarrow A:B = 3:2. \cr & \therefore {\text{B's}}\, {\text{share}} = Rs.\left( {1210 \times \frac{2}{5}} \right) \cr & \, \, \, \, \, \, \, \, \, \, \, \, \, \, \, \, \, \, \, \, \, \, \, \, \, \, \, \, \, \, = Rs.\, 484. \cr\end{align}
Question 165 [CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER] |
If x : y = 3 : 4 and a : b = 1 : 2, then the value of $\frac{{2xa + yb}}{{3yb - 4xa}}{\text{ is}}$
5/6 | |
6/7 | |
6/5 | |
7/6 |
Question 165 Explanation:
\begin{align} & = \frac{x}{y} = \frac{3}{4}{\text{ and }}\frac{a}{b} = \frac{1}{2} \cr & \Rightarrow \frac{{xa}}{{yb}} = \frac{3}{4} \times \frac{1}{2} = \frac{3}{8} \cr & \frac{{2xa + yb}}{{3yb - 4xa}} \cr & = \frac{{2\left( {\frac{{xa}}{{yb}}} \right) + 1}}{{3 - 4\left( {\frac{{xa}}{{yb}}} \right)}} \cr & = \frac{{2 \times \frac{3}{8} + 1}}{{3 - 4 \times \frac{3}{8}}} \cr & = \frac{7}{4} \times \frac{2}{3} \cr & = \frac{7}{6}. \cr\end{align}
There are 165 questions to complete.