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) 101
(b) 102
(c) 20
(d) 5
The correct answers to the above question in:
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
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Read more addition subtraction product on ratio and proportion Based Quantitative Aptitude Questions and Answers
Question : 1
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 : 2
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 : 3
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 : 4
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 : 5
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
Question : 6
The ratio of two numbers is 10 : 7 and their difference is 105. The sum of these numbers is
a) 1190
b) 1610
c) 805
d) 595
Answer »Answer: (d)
Let the nos. be 10x & 7 x then,
10 x - 7x = 105
3x = 105 ⇒ x = 35
Sum = 10x + 7x = 17x
= 17 × 35 = 595
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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