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Ratio
Question 191 [CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER] |
A cat leaps 5 leaps for every 4 leaps of a dog, but 3 leaps of the dog are equal to 4 leaps of the cat. What is the ratio of the speed of the cat to that of the dog?
11:16 | |
15:16 | |
15:11 | |
16:15 |
Question 191 Explanation:
Given;
3dog = 4 cat;
Or, dog/cat = 4/3;
Let cat's 1 leap = 3 meter and dogs 1 leap = 4 meter.
Then, ratio of speed of cat and dog = 3*5/4*4 = 15:16.
Question 192 [CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER] |
Find the fraction which will bear the same ratio to 1/27 that 3/11 does to 5/9.
1/55 | |
40/33 | |
15/99 | |
55 |
Question 192 Explanation:
\begin{align} & = x:\frac{1}{{27}}::\frac{3}{{11}}:\frac{5}{9} \cr & \Rightarrow \frac{5}{9}x = \frac{1}{{27}} \times \frac{3}{{11}} = \frac{1}{{99}} \cr & \Rightarrow x = \frac{1}{{99}} \times \frac{9}{5} \cr & \, \, \, \, \, \, \, \, \, \, \, \, = \frac{1}{{55}}. \cr\end{align}
Question 193 [CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER] |
What will be the simplest form of the ratio 3 hours : 1 day?
1 : 25 | |
1 : 6 | |
1 : 8 | |
1 : 3 |
Question 193 Explanation:
1 day = 24 hours.
∴ Given ration = 3 : 24
= 1 : 8
Question 194 [CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER] |
The number of students in 3 classes is in the ratio 2:3:4. If 12 students are increased in each class this ratio changes to 8:11:14. The total number of students in the three classes in the beginning was
108 | |
162 | |
54 | |
96 |
Question 194 Explanation:
Let the number of students in the classes be 2x, 3x and 4x respectively;
Total students = 2x+3x+4x = 9x.
\begin{align} & {\text{According}}\, {\text{to}}\, {\text{the}}\, {\text{question}}, \cr & \frac{{\left( {2x + 12} \right)}}{{\left( {3x + 12} \right)}} = \frac{8}{{11}} \cr & 24x + 96 = 22x + 132 \cr & Or, \, 2x = 132 - 96 \cr & Or, \, x = \frac{{36}}{2} = 18 \cr & {\text{Nence, }} \cr & {\text{Original}}\, {\text{number}}\, {\text{of}}\, {\text{students}}, \cr & 9x = 9 \times 18 \cr & \, \, \, \, \, \, \, \, = 162 \cr\end{align}
Question 195 [CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER] |
The present of A, B and C are in the ratio of 8 : 14 : 22 respectively. The present ages of B, C and D are in the ratio of 21 : 33 : 44 respectively. Which of the represents the ratio of the present ages of A, B, C and D respectively?
12 : 21 : 33 : 44 | |
Cannot be determine | |
12 : 21 : 36 : 44 | |
12 : 22 : 31 : 44 |
Question 195 Explanation:
\begin{align} & {\text{A}}:{\text{B}}:{\text{C}} = 8:14:22, \cr & {\text{B}}:{\text{C}}:{\text{D}} = 21:33:44 \cr & = \left( {21 \times \frac{2}{3}} \right):\left( {33 \times \frac{2}{3}} \right):\left( {44 \times \frac{2}{3}} \right) \cr & = 14:22:\frac{{88}}{3}. \cr & \therefore A:B:C:D = 8:14:22:\frac{{88}}{3} \cr & \, \, \, \, \, \, \, \, \, \, \, \, \, \, \, \, \, \, \, \, \, \, \, \, \, \, \, \, = 24:42:66:88 \cr & \, \, \, \, \, \, \, \, \, \, \, \, \, \, \, \, \, \, \, \, \, \, \, \, \, \, \, \, = 12:21:33:44. \cr\end{align}
There are 195 questions to complete.