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) 20
(b) 48
(c) 58
(d) 30
The correct answers to the above question in:
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
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Read more addition subtraction product on ratio and proportion Based Quantitative Aptitude Questions and Answers
Question : 1
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 : 2
The ratio between a two - digit number and the sum of the digits of that number is 4 : 1. If the digit at the unit’s place is 3 more than the digit at the ten's place, then the number is
a) 36
b) 25
c) 69
d) 47
Answer »Answer: (a)
Check through options
Number = 36
3 + 6 = 9; 6 - 3 = 3
and 36 : 9 = 4 : 1
Otherwise - 10x + y : x + y = 4 : 1
10x + (x + 3) : x + (x + 3) = 4 : 1
${11x + 3}/{2x + 3} = 4/1$
11x + 3 = 8x + 12
3x = 9
x = 3 and y = 6
Then the number is 36.
Question : 3
The ratio of two numbers is 3 : 8 and their difference is 115. The smaller of the two numbers is :
a) 69
b) 59
c) 194
d) 184
Answer »Answer: (a)
Let the numbers be 3x and 8x.
8x - 3x = 115
5x = 115
$x = 115/5$ = 23
The smaller number
= 3x = 3 × 23 = 69
Question : 4
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 : 5
Four numbers are in the ratio 1 : 2 : 3 : 4. Their sum is 16. The sum of the first and fourth number is equal to :
a) 10
b) 80
c) 8
d) 5
Answer »Answer: (c)
x + 2x + 3x + 4x = 16
$x = 16/10$ = 1.6
Sum = 1.6 + 6.4 = 8
Question : 6
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
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
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