type 3 addition subtraction product on ratio & proportion Section-Wise Topic Notes With Detailed Explanation And Example Questions
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The following question based on ratio & proportion topic of quantitative aptitude
(a) 10
(b) 80
(c) 8
(d) 5
The correct answers to the above question in:
Answer: (c)
x + 2x + 3x + 4x = 16
$x = 16/10$ = 1.6
Sum = 1.6 + 6.4 = 8
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Read more addition subtraction product on ratio and proportion Based Quantitative Aptitude Questions and Answers
Question : 1
Three numbers are in the ratio 5:7:12. If the sum of the first and the third numbers is greater than the second number by 50. The sum of the three numbers is
a) 95
b) 85
c) 120
d) 125
Answer »Answer: (c)
Let the numbers be 5x, 7x and 12x.
According to the question,
5x + 12x = 7x + 50
17x - 7x = 50
10x = 50
$x = 50/10$ = 5
Required sum
= 5x + 7x + 12x = 24x
= 24 × 5 = 120
Question : 2
The sum of three numbers is 68. If the ratio of the first to the second be 2 : 3 and that of the second to the third be 5 : 3, then the second number is
a) 20
b) 48
c) 58
d) 30
Answer »Answer: (d)
Let the numbers be a, b and c.
Then a : b = 2 : 3
b : c = 5 : 3
a : b : c = 2×5 : 3×5 : 3×3
= 10 : 15 : 9
Let the numbers now be 10x, 15x and 9x
10 x + 15x + 9x = 68
34x = 68
$x = 68/34 = 2$
Second number = 15 x
= 15 × 2 = 30
Question : 3
In a 45 litres mixture of milk and water, the ratio of the milk to water is 2 : 1. When some quantity of water is added to the mixture, this ratio becomes 1 : 2. The quantity of water added is
a) 35 litres
b) 45 litres
c) 21 litres
d) 10 litres
Answer »Answer: (b)
Quantity of milk in 45 litres
= $2/3$ × 45 = 30 litres.
Water = (45 - 15) = 15 litres
Let x litres of water be added.
$30/{15 + x} = 1/2$
15 + x = 60
x = 60 - 15 = 45 litres.
Question : 4
Three numbers are in the ratio 5 : 6 : 7. If the product of the numbers is 5670, then the greatest number is
a) 21
b) 28
c) 18
d) 15
Answer »Answer: (a)
Let the numbers be 5x, 6x and 7x respectively.
5x × 6x × 7x = 5670
$x^3 = 5670/{5 × 6 × 7} = 27$
x = $√^3{27}$= 3
The greatest number = 7x
= 7 × 3 = 21
Question : 5
What number should be subtracted from both terms of the ratio 15 : 19 in order to make it 3 : 4 ?
a) 5
b) 3
c) 6
d) 9
Answer »Answer: (b)
Let x be subtracted from each term of $15/19$.
${15 - x}/{19 - x} = 3/4$
57 - 3x = 60 - 4x
x = 3
Question : 6
The sum of two numbers is 40 and their difference is 4. The ratio of the numbers is :
a) 11 : 9
b) 11 : 18
c) 22 : 9
d) 21 : 19
Answer »Answer: (a)
Let the two numbers be x and y.
According to question,
x + y = 40 ...(i)
x - y = 4 …(ii)
From equation (i) and (ii), we get
x = 22 and y = 18
Required ratio
= $22/18 = 11/9$ = 11 : 9
GET ratio & proportion PRACTICE TEST EXERCISES
type 1 basic concepts of ratio & proportion
type 2 age based ratio & proportion problems
type 3 addition subtraction product on ratio & proportion
type 4 income & expenditure based ratio & proportion problems
type 5 shares & partnership based ratio & proportion problems
type 6 fractions based ratio & proportion problems
type 7 finding sum difference product based ratio & proportion problems
type 8 alligation & mixtures based ratio & proportion problems
type 9 coins & rupees based ratio & proportion problems
ratio & proportion Shortcuts and Techniques with Examples
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