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 : 26 [SSC CPO S.I.2009]
The two numbers are in the ratio 2 : 3 and their product is 96. The sum of the numbers is
a) 101
b) 102
c) 20
d) 5
Answer »Answer: (c)
Let the numbers be 2x and 3x.
2x × 3x = 96
$x^2 = 96/6$ = 16
$x = √16$ = 4
Sum = 2x + 3x = 5x
= 5 × 4 = 20
Question : 27 [SSC CGL Tier-II 2014]
The sum of two numbers is equal to 20 and their difference is 25. The ratio of the two numbers is
a) 3 : 5
b) 2 : 7
c) 7 : 9
d) 9 : 1
Answer »Answer: (d)
Numbers are x and y
x + y = 25
x - y = 20
On adding,
2x = 45
$x = 45/2$ = 22.5
From equation (i),
22.5 + y = 25
y = 25 - 22.5 = 2.5
Required ratio
= 22.5 : 2.5 = 9 : 1
Question : 28 [SSC CGL Prelim 2000]
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
Question : 29 [SSC CGL Prelim 2000]
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 : 30 [SSC CPO S.I.2009]
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
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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