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) 14
(b) 35
(c) 21
(d) 24
The correct answers to the above question in:
Answer: (a)
Let the numbers be 3x, 2x and 5x respectively.
Now, $(3x)^2 + (2x)^2 + (5x)^2$ = 1862
$9x^2 + 4x^2 + 25x^2$ = 1862
$38x^2$ = 1862
$x^2 = 1862/38 = 49$
$x = √49 =7$
The smallest number
= 2x = 2 × 7 = 14
Discuss Form
Read more addition subtraction product on ratio and proportion Based Quantitative Aptitude Questions and Answers
Question : 1
What number should be added to each of 6, 14, 18 and 38 so that the resulting numbers make a proportion ?
a) 3
b) 4
c) 2
d) 1
Answer »Answer: (c)
${6 + x}/{14 + x} ={18 +x}/{38 + x}$
From the given alternatives
${6 + 2}/{14 + 2} = {18 + 2}/{38 + 2}$
$1/2 = 1/2$
Using Rule 32,
Here, a = 6, b = 14, c = 18, d = 38
Required number x
= ${bc - ad}/{(a+d) - (b+c)}$
= ${14 × 18 - 6 × 38}/{(6 + 38) - (14 + 18)}$
= ${252 - 228}/{44 - 32}$
= $24/12$ = 2
Question : 2
The sum of three numbers is 98. If the ratio of the first to the second is 2 : 3 and that of the second to the third is 5 : 8, then the second number is
a) 30
b) 20
c) 48
d) 49
Answer »Answer: (a)
Let the numbers be x, y and z.
Then x : y = 2 : 3 ; y : z = 5 : 8
x : y : z = 2 × 5 : 3 × 5 : 3 × 8
= 10 : 15 : 24
Sum of the ratios
= 10 + 15 + 24 = 49
The second number
= $15/49$ × 98 = 30
Question : 3
The average of two numbers is 62. If 2 is added to the smallest number, the ratio between the numbers becomes 1 : 2. The difference of the numbers is
a) 84
b) 44
c) 40
d) 62
Answer »Answer: (b)
Average of two no's = 62
Sum of the numbers
= 62 × 2 = 124
Sum of the numbers = 124
If the larger number be x,
then smaller number = 124 - x
${124 - x + 2}/{x} =1/2$
252 - 2x = x
3x = 252 ⇒ x = 84
Smaller number
= 124 - 84 = 40
∴ Difference = 84 - 40 = 44
Question : 4
Three numbers are in the ratio $1/2 : 2/3 : 3/4$. The difference between the greatest and the smallest number is 36. The numbers are
a) 72, 84, 96
b) 72, 96, 108
c) 60, 72, 96
d) 72, 84, 108
Answer »Answer: (b)
Ratio of numbers
= $1/2 : 2/3 : 3/4$
= $1/2 × 12 : 2/3 × 12 : 3/4 ×12$
= 6 : 8 : 9
Let the numbers be 6x, 8x and 9x.
Now, 9x - 6x = 36
x = 12
Numbers are 72, 96 and 108.
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
Most Important Antonyms Vocabulary - IBPS Clerk Prelims 2024
Latest Antonyms multiple choice questions and answers with free PDFfor IBPS Clerk Prelims 2024. English Vocabulary practice exercise for all bank exam
Continue Reading »
Syllogism Practice Questions Answers PDF - IBPS Clerk 2024
Practice Verbal Reasoning Syllogism multiple choice questions and answers with Fully solved explanation, PDF for the IBPS Clerk Prelims 2024 Bank Exam
Continue Reading »
IBPS Clerk Prelims 2024 Synonyms Questions Solved Answers
Most important IBPS Clerk Prelims 2024 Synonyms and Antonyms multiple choice questions and answers with detailed solutions, English vocabulary PDF Download
Continue Reading »
New Cloze Test Questions and Answers PDF - IBPS Clerk 2024
The most important Cloze Test questions with detailed answers for upcoming IBPS Clerk prelims 2024. Latest English verbal ability practice MCQs, PDF
Continue Reading »