type 3 addition subtraction product on ratio & proportion Section-Wise Topic Notes With Detailed Explanation And Example Questions
MOST IMPORTANT quantitative aptitude - 9 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 »
-
199+ Ratio Proportion Income, Expenditure Problems MCQS »
-
199+ Partnership Aptitude (Ratio) MCQ Questions Answers »
-
259+ Ratio and Proportion (fractions) Aptitude MCQ Quiz »
-
199+ Ratio and Proportion Aptitude Questions Answers MCQ »
-
299+ Alligation and Mixture Problems Aptitude MCQ Quiz »
-
249+ Ratio and Proportion Coins Based Questions Answers »
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
Discuss Form
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
ratio & proportion Shortcuts and Techniques with Examples
Verbal Reasoning
Question & Answer Quiz
Non Verbal Reasoning
Question & Answer Quiz
Quantitative Aptitude
Question & Answer Quiz
Computer MCQ
Question & Answer Quiz
General English
Question & Answer Quiz
History GK
Question & Answer Quiz
Polity GK
Question & Answer Quiz
Geography GK
Question & Answer Quiz
Economy GK
Question & Answer Quiz
General Awareness GK
Question & Answer Quiz
Recently Added Subject & Categories For All Competitive Exams
100+ Quadratic Equation Questions Answers PDF for Bank
Quadratic Equation multiple choice questions with detailed answers for IBPS RRB SO. more than 250 Attitude practice test exercises for all competitive exams
Continue Reading »
IBPS Aptitude Linear Equations MCQ Questions Answers PDF
Linear equations multiple choice questions with detailed answers for IBPS RRB SO. more than 250 Attitude practice test exercises for all competitive exams
Continue Reading »
New 100+ Compound Interest MCQ with Answers PDF for IBPS
Compound Interest verbal ability questions and answers solutions with PDF for IBPS RRB PO. Aptitude Objective MCQ Practice Exercises all competitive exams
Continue Reading »
100+ Mixture and Alligation MCQ Questions PDF for IBPS
Most importantly Mixture and Alligation multiple choice questions and answers with PDF for IBPS RRB PO. Aptitude MCQ Practice Exercises all Bank Exams
Continue Reading »