type 1 basic concepts of ratio & proportion 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 : 21 [SSC CGL Prelim 2000]
The fourth proportional to 0.12, 0.21, 8 is :
a) 14
b) 17
c) 56
d) 8.9
Answer »Answer: (a)
Let the fourth proportional be x
Then, ${0.12}/{0.21} = 8/x$
or $x =8 ×{0.21}/{0.12}$
or $x =8 × 21/12$
or x = 14
Using Rule 16Fourth Proportional - Let x be the fourth proportional of a, b and c, then a:b::c:x (Real condition)$a/b=c/x ⇒ ax=bc$$x={bc}/a$Fourth proportional of a, b and c =${bc}/a$
Fourth proportion = ${bc}/a$
= ${0.21 ×18}/{0.12}$= 14
Question : 22 [SSC CGL Prelim 2005]
If x : y = 3 : 2, then the ratio $2x^2 + 3y^2 : 3x^2 - 2y^2$ is equal to :
a) 30 : 19
b) 5 : 3
c) 6 : 5
d) 12 : 5
Answer »Answer: (a)
x : y = 3 : 2
$x^2 : y^2$ = 9 : 4
${2x^2 + 3y^2}/{3x^2 - 2y^2} ={2{x^2/y^2}+ 3}/{3{x^2/y^2} - 2}$
= ${2 ×{9/4} +3}/{3× 9/4- 2}={{18 + 12}/4}/{{27 - 8}/4}$
= 30 : 19
Question : 23 [SSC CGL Prelim 2007]
The ratio of A to B is 4 : 5 and that of B to C is 2 : 3. If A equals 800, C equals
a) 1500
b) 2000
c) 1200
d) 1000
Answer »Answer: (a)
A : B = 4 : 5
B : C = 2 : 3
A : B : C = 4 × 2 : 5 × 2 : 5 × 3
= 8 : 10 : 15
If A equals 800, then C equals 1500.
Question : 24 [SSC CGL Prelim 2003]
If a : b = $2/9: 1/3, b : c = 2/7 : 5/14 and d : c = 7/10 : 3/5$ then a : b : c : d is
a) 8 : 12 : 15 : 7
b) 30 : 35 : 24 : 16
c) 16 : 24 : 30 : 35
d) 4 : 6 : 7 : 9
Answer »Answer: (c)
Using Rule 19 (ii),
a : b = $2/9 : 1/3$ = 2 : 3
b : c = $2/7 :5/14$ = 4 : 5
d : c = $7/10: 3/5$ = 7 : 6
c : d = 6 : 7
Thus,
| a : b | = | 2 : 3 |
| b : c | = | 4 : 5 |
| c : d | = | 6 : 7 |
| a : b : c : d | = | 2×4×6 : 3×4×6 :3×5×6 : 3×5×7 |
= 16 : 24 : 30 : 35
Question : 25 [SSC CGL Prelim 2005]
If A : B : C = 2 : 3 : 4, then ratio $A/B : B/C : C/A$ is equal to
a) 8 : 9 : 24
b) 4 : 9 : 16
c) 8 : 9 : 12
d) 8 : 9 : 16
Answer »Answer: (a)
A : B : C = 2 : 3 : 4
$A/B = 2/3, B/C = 3/4, C/A= 4/2 = 2$
$A/B : B/C : C/A = 2/3 : 3/4 : 2/1$
= 8 : 9 : 24
IMPORTANT quantitative aptitude EXERCISES
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199+ Ratio Proportion Basic Concepts MCQ Questions Answers »
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Top 199+ Ratio Proportion Age Based MCQ Questions Answers »
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159+ Ratios Proportions Addition Subtraction product MCQ »
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199+ Ratio Proportion Income, Expenditure Problems MCQS »
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199+ Partnership Aptitude (Ratio) MCQ Questions Answers »
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259+ Ratio and Proportion (fractions) Aptitude MCQ Quiz »
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199+ Ratio and Proportion Aptitude Questions Answers MCQ »
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299+ Alligation and Mixture Problems Aptitude MCQ Quiz »
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249+ Ratio and Proportion Coins Based Questions Answers »
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