Vessels A and B contain the mixture of alcohol and water in the ratio of 4 : 5 and 3 : 2 respectively. If vessels A and B are mixed then what is the ratio of new mixture which is obtained ?
5 : 8
35 : 29
47 : 43
5 : 2
2 : 5
Option C Quantity of alcohol and water in vessel B = 3/5 and 2/5 New ratio = (4/9 + 3/5) : (5/9 + 2/5) = (20 + 27/45) : (25 + 18/45) = 47 : 43
The ratio of total students to number girl of a particular class is 8 : 5. If numbers of boys of that class is 450 , then find the total number of students.
1220
1100
1200
1345
1000
Option C Let total number of students = 8x number of girls = 5x number of boys = 8x – 5x = 3x 3x = 450 x = 150 Total students = 1200
Sipun has three types of coins 10 paisa, 50 paisa and 20 paisa of coin is 4 : 2 : 5. If total coins worth is rs.96, then find the number of 50 paisa coins.
60
75
48
80
40
Option D Let number of 10 paisa, 50 paisa and 20 paisa coins are 4x, 2x and 5x respectively. 4x * 10 + 2x * 50 + 5x * 20 = 9600 40x + 100x + 100x = 9600 x = 40 number of 50 paisa coins = 2x = 80
The ratio of monthly income of A and B is 3 : 5 and the ratio of the expenditure of A and B is 6 : 11. If the savings of A and B are rs.6000 and rs.8000 respectively. What is expenditure of B ?
48000
42000
43000
35000
30000
Option E Let income of A and B are 3x and 5x. 3x – 6000/5x – 8000 = 6/11 33x – 66000 = 30x – 48000 3x = 18000 x = 6000 income of B = 5 * 6000 = 30000
There are total of 48 employees in a company. The ratio of male employees to the female employees is 5 : 3. How many more female employees to be recruited to that the ratio becomes 1 : 1 ?
10
15
12
20
25
Option C Number of male employees = 48 * 5/8 = 30 number of female employees = 48 * 3/8 = 18 Let number female employees recruited = x 30/18 +x = 1/1 18 + x = 30 x = 12
The ratio of milk and water in a mixture is 6 : 5 and 22 liter of mixture is replaced with water, so that ratio of milk and water in new mixture is 3 : 8, then how much quality of water in the mixture initially ?
20 liters
32 liters
28 liters
35 liters
40 liters
Option A Let quality of milk and water are 6x and 5x respectively. (6x – 22 * 6/11)/(5x – 22 * 5/11+22)= 3/8 6x – 12/5x + 12 = 3/8 48x – 96 = 15x + 36 33x = 132 x = 4 quality of water initially = 5x = 5 * 4 = 20 liters.
The ratio of income to expenditure of A is 4 : 3 and that of B 5 : 3. If savings of B is double that of A, then what could be the ratio of total income of A and B together to the total expenditure of A and B together ?
2 : 3
4 : 5
3 : 2
5 : 8
6 : 9
Option C Let income and expenditure of A = 4x and 3x income and expenditure of B = 5x and 3x saving of A = 4x – 3x = x saving of B = 5x – 3x = 2x ratio = (4x + 5x) : (3x + 3x) = 9x : 6x = 3 : 2
The ratio of male employees to female employees of a bank is 5 : 4. If 10 male employees left the job and 4 more female employees joined the bank, so that ratio between male to female employees is 7 : 8, then find the total employees of the bank initially ?
85
81
92
78
48
Option B Let male and female employees are 5x and 4x respectively. 5x – 10/4x + 4 = 7/8 40x – 80 = 28x + 28 12x = 108 x = 9 total male and female employees initially = 5x + 4x = 9x = 9 * 9 = 81
The seats for commerce, science and arts in a college are in the ratio of 5 : 4 : 8. If these seats are increased by 20%, 50% and 75% respectively, what will be the ratio of the increased seats of the college ?
5 : 2 : 8
6 : 2 : 3
5 : 4 : 8
6 : 6 : 14
4 : 3 : 2
Option D Let commerce seats = 5x science seats = 4x Arts seats = 8x ratio of commerce, science and arts seats after increased = (5x * 6/5) : (4x * 3/2) : (8x * 7/4) = 6x : 6x : 14x = 6 : 6 : 14
Total income of A, B and C is rs.9400. If A’s income is 4/5th of B’s income and B’s income is 3/4th of C’s income, then find the income of C.
3400
4000
5200
3200
2800
Option B A = 4/5 B A/B = 4/5 A/B = 4 * 3/5 * 3 = 12/15 B = 3/4 *C B/C = 3/4 B/C = 3 * 5/4 * 5 B/C = 15/20 ratio of A, B and C = 12 : 15 : 20 B’s income = 9400 * 20/47 = 4000
Have you ever considered creating an ebook or guest authoring on other blogs?
I have a blog centered on the same ideas you discuss and would love to have you share
some stories/information. I know my subscribers
would enjoy your work. If you are even remotely interested, feel free to send me an email.
Have you ever considered creating an ebook or guest authoring on other blogs?
I have a blog centered on the same ideas you discuss and would love to have you share
some stories/information. I know my subscribers
would enjoy your work. If you are even remotely interested, feel free to send me an email.