YOU CAN DOWNLOAD 200+ SUBJECTS PDF BOOK FOR COMPETITIVE EXAMINATIONS
Ratio
Question 166 [CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER] |
If a : b = b : c, then a4 : b4 would be equal to
b2 : ac | |
c2 : a2 | |
ac : b2 | |
a2 : c2 |
Question 166 Explanation:
\begin{align} & = \frac{a}{b} = \frac{b}{c} \cr & \Rightarrow {b^2} = ac \cr & \Rightarrow \frac{{{a^4}}}{{{b^4}}} = \frac{{{a^4}}}{{{{\left( {ac} \right)}^2}}} \cr & \, \, \, \, \, \, \, \, \, \, \, \, \, \, \, = \frac{{{a^4}}}{{{a^2}{c^2}}} \cr & \, \, \, \, \, \, \, \, \, \, \, \, \, \, \, = \frac{{{a^2}}}{{{c^2}}} \cr & \Rightarrow {a^4}:{b^4} = {a^2}:{c^2}. \cr\end{align}
Question 167 [CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER] |
The salaries of A, B and C are in the ratio 1 : 3 : 4. If the salaries are increased 5%, 10% and 15% respectively. Then the increased salaries will be in the ratio =?
19 : 66 : 92 | |
21 : 66 : 92 | |
20 : 66 : 95 | |
21 : 66 : 95 |
Question 167 Explanation:
| A | : | B | : | C | |
| 1 | : | 3 | : | 4 | |
| Let | 100x | : | 330x | : | 400x |
| ↓+5% | ↓+10% | ↓+15% | |||
| Let | 105x | : | 330x | : | 460x |
| 105 | : | 330 | : | 460 | |
| 21 | : | 66 | : | 92 |
Question 168 [CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER] |
If the ratio of the ages of Maya and Chhaya is 6:5 at present, and fifteen years from now, the ratio will get changed to 9:8, then find Maya's present age.
33 years | |
24 years | |
30 years | |
18 years |
Question 168 Explanation:
Let Maya's and Chhaya's present age is 6x and 5x respectively.
And,
(6x+15)/(5x+15) = 9/8;
Or, 48x+120 = 45x = 135;
Or, 3x = 15;
Or, x = 5;
Present age of Maya = 6x = 30.
Question 169 [CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER] |
Total number of men, women and children working in a factory is 18. They earn Rs. 4000 in a day. If the sum of the wages of all men, all women and all children is in ratio of 18: 10: 12 and if the wages of an individual man, woman and child is in ratio 6: 5: 3, then how much a woman earn in a day?
Rs. 400 | |
Rs. 120 | |
Rs. 150 | |
Rs. 250 |
Question 169 Explanation:
Ratio of number of men, women and children,
=(18/6) : (10/5) : (12/3) = 3 : 2 : 4
Total (Men +Women +Children) = 18
3X +2X +4X = 18
9X = 18
X = 2
Hence, number of women = 2X = 2*2 = 4
Share of all women = (10*4000)/40 = Rs. 1000 [18+10+12 =40]
Thus, share of each woman = 1000/4 = Rs. 250.
Question 170 [CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER] |
The bus fare and train fare of a place from kolkata were Rs. 20 and Rs. 30 respectively. Train fare has been increased by 20% and the bus fare has been increased by 10%. The ratio of new train fare to new bus fare is.
3 : 5 | |
11 : 18 | |
5 : 3 | |
18 : 11 |
Question 170 Explanation:
Required ratio
= 120% of Rs. 30 : 110% of Rs. 20
= 36 : 22
= 18 : 11
There are 170 questions to complete.