type 1 basic concepts of 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) 30 : 19
(b) 5 : 3
(c) 6 : 5
(d) 12 : 5
The correct answers to the above question in:
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
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Read more basic concepts of ratio and proportion Based Quantitative Aptitude Questions and Answers
Question : 1
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 : 2
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 : 3
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
Question : 4
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 : 5
If A : B = 3 : 4, B : C = 5 : 7 and C : D = 8 : 9 then A : D is equal to
a) 21 : 10
b) 10 : 21
c) 7 : 3
d) 3 : 7
Answer »Answer: (b)
$A : D = A/D =A/B ×B/C× C/D$
= $3/4× 5/7× 8/9 =10/21$= 10 : 21
Using Rule 19If A:B = x:y, B:C = p:q and C:D = m:n then,(i) A:D = xpm : yqn(ii) A:B:C:D = (xp:yp:yq) × m:yqn = xpm:ypm:yqm:yqn
A : D = xpm : yqn
= 3 × 5 × 8 : 4 × 7 × 9
= 10 : 21
Question : 6
If A : B = 2 : 3 and B : C = 4 : 5, then A : B : C is
a) 6 : 4 : 5
b) 8 : 12 : 15
c) 5 : 4 : 6
d) 2 : 3 : 5
Answer »Answer: (b)
Using Rule 18(ii),
A : B = 2 : 3
B : C = 4 : 5
A : B : C = 2 × 4 : 3 × 4 : 3 × 5
= 8 : 12 : 15
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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