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 : 11 [SSC CGL Tier-I 2016]
Two numbers whose sum is 84 can not be in the ratio
a) 1 : 3
b) 3 : 2
c) 13 : 8
d) 5 : 7
Answer »Answer: (b)
According to the question,
The number 84 must be a multiple of sum of the terms of ratio.
For ratio 3 : 2,
Sum of the terms of ratio
= 3 + 2 = 5
which is not a factor of 84.
Question : 12 [SSC CHSL 2014]
The ratio of three positive numbers is 2 : 3 : 5 and the sum of their squares is 608. The three numbers are
a) 8, 12, 20
b) 4, 6, 10
c) 10, 15, 25
d) 2, 3, 5
Answer »Answer: (a)
Numbers = 2x, 3x and 5x,
According to question,
$(2x)^2 + (3x)^2 + (5x)^2$ = 608
$4x^2 + 9x^2 + 25x^2$ = 608
$38x^2$ = 608
$x^2 = 608/38$ = 16
$x = √16$ = 4
Numbers ⇒ 2x = 2 × 4 = 8
3x = 3 × 4 = 12
5x = 5 × 4 = 20
Question : 13 [SSC CGL Prelim 2002]
The product of two positive integers is 1575 and their ratio is 9 : 7. The smaller integer is
a) 45
b) 70
c) 35
d) 25
Answer »Answer: (c)
Let the integers be 9x and 7x respectively.
According to the question,
9x × 7x = 1575
$x^2 = 1575/63$
$x^2 = 25 ⇒ x = 5
[x being positive (+ve) integer]
Smaller integer
= 7x = 7 × 5 = 35
Question : 14 [SSC CGL Tier-I 2013]
The ratio of number of balls in bags x,y is 2 : 3. Five balls are taken from bag y and are dropped in bag x. Number of balls are equal in each bag now. Number of balls in each bag now is
a) 30
b) 25
c) 20
d) 45
Answer »Answer: (c)
Number of balls in bag x and y respectively
= 2a and 3a
3a - 5 = 2a + 3
a = 5 + 3 = 8
Total number of balls
= 5a = 40
Balls in each bag = 20
Question : 15 [SSC CHSL 2014]
Two numbers are in the ratio of 2 : 3. If their sum is 125, find the numbers.
a) 20, 30
b) 32, 78
c) 24, 36
d) 50, 75
Answer »Answer: (d)
Ratio of numbers = 2 : 3
Sum of ratios = 2 + 3 = 5
First number = $2/5 × 125$ = 50
Second number = $3/5 × 125$ = 75
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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