type 7 finding sum difference product based ratio & proportion problems Practice Questions Answers Test with Solutions & More Shortcuts
ratio & proportion PRACTICE TEST [9 - 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
Question : 6 [SSC CGL Prelim 2005]
Two numbers are in the ratio 1$1/2 : 2{2}/3$. When each of these is increased by 15, they become in the ratio 1$2/3 : 2{1}/2$. The greater of the numbers is :
a) 48
b) 64
c) 36
d) 27
Answer »Answer: (a)
Let the numbers be $3/2$x and $8/3$x
According to question,
${3/2 x + 15}/{{8x}/3 + 15} = {5/3}/{5/2}$
${{3x + 30}/2}/{{8x + 45}/3} = 2/3$
${3(3x + 30)}/{2(8x + 45)} = 2/3$
${9x + 90}/{16x + 90} = 2/3$
27x + 270 = 32x + 180
32x - 27x = 270 - 180 = 90
5x = 90 ⇒ x = 18
The greater number
= $8/3 x = 8/3 × 18$ =48
Question : 7 [SSC CGL Tier-1 2011]
The ratio between two numbers is 2 : 3. If each number is increased by 4, the ratio between them becomes 5 : 7. The difference between the numbers is
a) 4
b) 2
c) 6
d) 8
Answer »Answer: (d)
Let the numbers be 2x and 3x.
${2x + 4}/{3x + 4} = 5/7$
15x + 20 = 14x + 28
x = 28 - 20 = 8
Required difference
Using Rule 34,
Here, a = 2, b = 3,c = 5
d = 7 and x = 4
1st Number = ${xa(c-d)}/{ad-bc}$
= ${4 ×2(5 - 7)}/{2 × 7 - 5 × 3}$
= ${8 × - 2}/{14 - 15}$ = 16
2nd Number= ${xb(c-d)}/{ad-bc}$
= ${4 ×3(5 - 7)}/{2 × 7 - 5 × 3}$
= ${4 × 3 (- 2)}/{14 - 15}$ = 24
Difference of numbers = 24 - 16 = 8
Question : 8 [SSC CGL Tier-II 2012]
The students in three classes are in the ratio 4 : 6 : 9. If 12 students are increased in each class, the ratio changes to 7 : 9 : 12. Then the total number of students in the three classes before the increase is
a) 100
b) 114
c) 76
d) 95
Answer »Answer: (c)
Let the original number of students be 4x , 6x and 9x.
${4x + 12}/{6x +12} = 7/9$
42x + 84 = 36x + 108
42x - 36x = 108 - 84
6x = 24 ⇒ x = 4
Required number of students
= 19x = 19 × 4 = 76
Question : 9 [SSC SO 2003]
Two numbers are in the ratio 3 : 5. If 9 is subtracted from each, then they are in the ratio 12 : 23. Find the smaller number.
a) 49
b) 55
c) 33
d) 27
Answer »Answer: (c)
Let the numbers be 3x and 5x.
${3x - 9}/{5x - 9} = 12/23$
69x - 60x = 207 - 108
$x =99/9$ 11
The smaller number = 3x = 33
Using Rule 35,
Here, a = 3, b = 5, x= 9, c = 12, d = 23
1st Number = ${xa(d-c)}/{ad-bc}$
= ${9 ×3(23 - 12)}/{3 × 23 - 5 × 12}$
= ${27 × 11}/{69 - 60}$
=${27 × 11}/9$ = 33
2nd Number= ${xb(d-c)}/{ad-bc}$
= ${9 ×5(23 - 12)}/{3 × 23 - 5 × 12}$
= ${45 × 11}/{69 - 60}$
= ${45 × 11}/9$= 55
Smallest number = 33
Question : 10 [SSC CGL Tier-I 2016]
Three numbers are in the ratio 1 : 2 : 3 and the sum of their cubes is 4500 . The smallest number is
a) 6
b) 10
c) 5
d) 4
Answer »Answer: (c)
Let the numbers be x, 2x and 3x.
According to the question,
$x^3 + (2x)^3 + (3x)^3$ = 4500
$x^3 + 8x^3 + 27x^3$ = 4500
$36x^3$ = 4500
$x^3 = 4500/36$ = 125
$x = √^3{125}$= 5 = smallest number
IMPORTANT quantitative aptitude 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 »
type 7 finding sum difference product based ratio & proportion problems Online Quiz
Click to Start..quantitative aptitude CATEGORIES
RECENT BLOGS
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 »