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) 3 : 5
(b) 2 : 7
(c) 7 : 9
(d) 9 : 1
The correct answers to the above question in:
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
Discuss Form
Read more addition subtraction product on ratio and proportion Based Quantitative Aptitude Questions and Answers
Question : 1
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 : 2
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 : 3
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
Question : 4
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 : 5
Three numbers are in the ratio 2 : 3 : 4. If the sum of their squares is 1856, then the numbers are
a) 12, 18 and 24
b) None of the above
c) 16, 24 and 32
d) 8, 12 and 16
Answer »Answer: (c)
Numbers = 2x, 3x and 4x
$(2x)^2 + (3x)^2 + (4x)^2$ = 1856
$4x^2 + 9x^2 + 16x^2$ = 1856
$29x^2$ = 1856
$x^2$ = 1856 ÷ 29 = 64
$x = √64$ = 8
Numbers = 16, 24 and 32
Question : 6
Two numbers are in the ratio 3 : 5. If 6 is added to each of them, the ratio becomes 2 : 3. The numbers are
a) 24 and 40
b) 18 and 30
c) 30 and 50
d) 21 and 35
Answer »Answer: (b)
Let the numbers be 3x and 5x.
According to the question,
${3x + 6}/{5x + 6}= 2/3$
10x + 12 = 9x + 18
10x - 9x = 18 - 12
x = 6
Numbers are :
3x = 3 × 6 = 18 and
5x = 5 × 6 = 30
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
ratio & proportion Shortcuts and Techniques with Examples
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