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) 1190
(b) 1610
(c) 805
(d) 595
The correct answers to the above question in:
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
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Read more addition subtraction product on ratio and proportion Based Quantitative Aptitude Questions and Answers
Question : 1
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 : 2
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 : 3
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 : 4
The sum of three numbers is 116. The ratio of second to the third is 9 : 16 and the first to the third is 1 : 4. The second number is
a) 34
b) 36
c) 32
d) 30
Answer »Answer: (b)
Number | II | III | I | ||
9 | : | 16 | |||
4 | : | 1 | |||
36 | : | 64 | : | 16 | |
9 | : | 16 | : | 4 |
Therefore, second number
=$9/{9 +16+4}×116$
=$9/29×116=36$
Question : 5
If the square of the sum of two numbers is equal to 4 times of their product, then the ratio of these numbers is :
a) 1 : 1
b) 1 : 2
c) 1 : 3
d) 2 : 1
Answer »Answer: (a)
$(x + y)^2 = 4xy$
$x^2 + y^2 + 2xy - 4xy = 0$
$(x - y)^2$ = 0 ⇒ x = y
x : y = 1 : 1
Question : 6
Three numbers are in the ratio 3 : 4 : 5. The sum of the largest and the smallest equals the sum of the second and 52. The smallest number is
a) 39
b) 52
c) 27
d) 20
Answer »Answer: (a)
Let the numbers be 3x, 4x and 5x.
5x + 3x = 4x + 52
4x = 52 ⇒ x =13
The smallest number
= 3x = 3 × 13 = 39
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
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