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Ratio
Question 201 [CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER] |
Profits of a business are divided among three partners A, B and C in such a way that 4 times the amount received by A is Equal to 6 times the amount received by B and 11 times the amount received by C. The ratio in which the three received the amount is.
33 : 6 : 14 | |
33 : 22 : 12 | |
4 : 6 : 11 | |
11 : 6 : 4 |
Question 201 Explanation:
\begin{align} & = 4{\text{A}} = 6{\text{B}} = 11{\text{C}} = k(say) \cr & {\text{Then, }} \cr & {\text{A}} = \frac{k}{4}, \cr & {\text{B}} = \frac{k}{6}, \cr & {\text{C}} = \frac{k}{{11}} \cr & \Rightarrow {\text{A}}:{\text{B}}:{\text{C}} = \frac{1}{4}:\frac{1}{6}:\frac{1}{{11}} \cr & \, \, \, \, \, \, \, \, \, \, \, \, \, \, \, \, \, \, \, \, \, \, \, \, = 33:22:12. \cr\end{align}
Question 202 [CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER] |
If x varies as y then x2+y2 varies as
x2-y2 | |
None of these | |
x-y | |
x+y |
Question 202 Explanation:
Given,
x = y;
Or, x-y = 0;
Or, (x-y)2 = 0;
Or, x2+y2-2xy = 0;
Or, x2+y2 = 2xy
It means that, x2+y2 varies as xy.
Question 203 [CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER] |
The milk and water in a mixture are in the ratio 7 :5. When 15 liters of water are added to it, the ratio of milk and water in the new mixture becomes 7 :8. The total quantity of water in the new mixture is:
35 lit | |
96 lit | |
40 lit | |
60 lit |
Question 204 [CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER] |
A box has 210 coins of denominations one-rupee and fifty paise only. The ratio of their respective values is 13:11. The number of one-rupee coin is
77 | |
66 | |
65 | |
78 |
Question 204 Explanation:
Respective ratio of the number of coins;
= 13:11*2 = 13:22
Hence, Number of 1 rupee coins;
= 13*210/(13+22) = 78.
Question 205 [CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER] |
If p : q : r = 1 : 2 : 4, then $\sqrt {5{p^2} + {q^2} + {r^2}} $ is equal to =
2q | |
4r | |
5 | |
5p |
Question 205 Explanation:
\begin{align} & {\text{p}}:{\text{q}}:{\text{r}} \cr & 1:2:4 \cr & x:2x:4x \cr & \therefore \sqrt {5{p^2} + {q^2} + {r^2}} \cr & = \sqrt {5{x^2} + 4{x^2} + 16{x^2}} \cr & = \sqrt {25{x^2}} \cr & = 5x \cr & = 5p \cr\end{align}
There are 205 questions to complete.