type 3 addition subtraction product on ratio & proportion Practice Questions Answers Test with Solutions & More Shortcuts
ratio & proportion PRACTICE TEST [9 - 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
Question : 31 [SSC CGL Prelim 1999]
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 : 32 [SSC CGL Tier-I 2016]
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 : 33 [SSC CGL Prelim 2007]
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 : 34 [SSC CPO S.I.2004]
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 : 35 [SSC MTS 2013]
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.
IMPORTANT quantitative aptitude EXERCISES
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199+ Ratio Proportion Basic Concepts MCQ Questions Answers »
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Top 199+ Ratio Proportion Age Based MCQ Questions Answers »
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159+ Ratios Proportions Addition Subtraction product MCQ »
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199+ Ratio Proportion Income, Expenditure Problems MCQS »
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199+ Partnership Aptitude (Ratio) MCQ Questions Answers »
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259+ Ratio and Proportion (fractions) Aptitude MCQ Quiz »
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199+ Ratio and Proportion Aptitude Questions Answers MCQ »
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299+ Alligation and Mixture Problems Aptitude MCQ Quiz »
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249+ Ratio and Proportion Coins Based Questions Answers »
type 3 addition subtraction product on ratio & proportion Online Quiz
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