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 : 16 [SSC CGL Prelim 1999]
If x = $1/3$y and y = $1/2$z ,then x : y : z, is equal to :
a) 1 : 3 : 6
b) 2 : 4 : 6
c) 1 : 2 : 6
d) 3 : 2 : 1
Answer »Answer: (a)
$x = 1/3y$ ⇒ x : y = 1 : 3
Again, $y = 1/2z$ ⇒ y : z
= 1 : 2 = 3 : 6
x : y : z = 1 : 3 : 6
Question : 17 [SSC CGL Prelim 2000]
If x : y = 3 : 1, then $x^3 - y^3 : x^3 + y^3$ = ?
a) 10 : 11
b) 11 : 10
c) 14 : 13
d) 13 : 14
Answer »Answer: (d)
Using Rule 13Componendo and dividendo - If there is a proportion a:b::c:d then its componendo and dividendo is(a + b):(a - b)::(c + d):(c - d) or,${a+b}/{a-b}={c+d}/{c-d}$To simplify the proportion any one method of componendo, dividendo, componendo and Dividendo can directly be used.
$x/y= 3/1 ⇒ x^3/y^3 =27/1$
${x^3 - y^3}/{x^3 + y^3} = {27- 1}/{27 + 1}$
[By componendo and dividendo]
= $26/28 = 13/14$ = 13 : 14
Question : 18 [SSC CGL Prelim 2000]
If a : b = c : d = e : f = 1 : 2, then (pa + qc + re) : (pb + qd + rf) is equal to :
a) 2 : 3
b) 1 : 2
c) (p + q) : r
d) p : (q + r)
Answer »Answer: (b)
Using Rule 33,
$a/b = c/d = e/f = 1/2$
${pa}/{pb} = {qc}/{qd} = {re}/{rf}= 1/2$
${pa +qc+ re}/{pb+ qd+ rf} = 1/2$ or 1 : 2
Question : 19 [SSC SO 2007]
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
Question : 20 [SSC CGL Prelim 2005]
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
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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