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 : 36 [SSC CGL Prelim 1999]
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 : 37 [SSC CGL Tier-II 2015]
If the product of two positive numbers is 1575 and their ratio is 7 : 9, then the greater number is
a) 135
b) 63
c) 35
d) 45
Answer »Answer: (d)
Numbers = 7x and 9x (let)
According to the question,
7x × 9x = 1575
$x^2 = 1575/{7 × 9}$ = 25
$x = √25$ = 5
Larger number = 9x
= 9 × 5 = 45
Question : 38 [SSC CGL Prelim 2005]
Three numbers are in the ratio $1/2 : 2/3 : 3/4$. The difference between the greatest and the smallest number is 36. The numbers are
a) 72, 84, 96
b) 72, 96, 108
c) 60, 72, 96
d) 72, 84, 108
Answer »Answer: (b)
Ratio of numbers
= $1/2 : 2/3 : 3/4$
= $1/2 × 12 : 2/3 × 12 : 3/4 ×12$
= 6 : 8 : 9
Let the numbers be 6x, 8x and 9x.
Now, 9x - 6x = 36
x = 12
Numbers are 72, 96 and 108.
Question : 39 [SSC FCI Ass Grade-III 2012]
The average of two numbers is 62. If 2 is added to the smallest number, the ratio between the numbers becomes 1 : 2. The difference of the numbers is
a) 84
b) 44
c) 40
d) 62
Answer »Answer: (b)
Average of two no's = 62
Sum of the numbers
= 62 × 2 = 124
Sum of the numbers = 124
If the larger number be x,
then smaller number = 124 - x
${124 - x + 2}/{x} =1/2$
252 - 2x = x
3x = 252 ⇒ x = 84
Smaller number
= 124 - 84 = 40
∴ Difference = 84 - 40 = 44
Question : 40 [SSC CPO S.I.2003]
The sum of three numbers is 98. If the ratio of the first to the second is 2 : 3 and that of the second to the third is 5 : 8, then the second number is
a) 30
b) 20
c) 48
d) 49
Answer »Answer: (a)
Let the numbers be x, y and z.
Then x : y = 2 : 3 ; y : z = 5 : 8
x : y : z = 2 × 5 : 3 × 5 : 3 × 8
= 10 : 15 : 24
Sum of the ratios
= 10 + 15 + 24 = 49
The second number
= $15/49$ × 98 = 30
IMPORTANT quantitative aptitude EXERCISES
-
199+ Ratio Proportion Basic Concepts MCQ Questions Answers »
-
Top 199+ Ratio Proportion Age Based MCQ Questions Answers »
-
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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