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 : 26 [SSC CPO S.I.2004]
If b is the mean proportional of a and c, then $(a - b)^3 : (b - c)^3$ equals
a) $a^2 : c^2$
b) $a^3 : b^3$
c) $b^2 : c^2$
d) $a^3 : c^3$
Answer »Answer: (b)
Since b is the mean proportional of a and c.
$a/b = b/c$= k (Suppose)
a = bk, b = ck
$(a- b)^3/(b- c)^3 = (bk - b)^3/(ck - c)^3$
= ${b^3(k-1)^3}/{c^3(k-1)^3} =b^3/c^3 = a^3/b^3$
Question : 27 [SSC SO 2007]
If two times of A is equal to three times of B and also equal to four times of C, then A : B : C is
a) 4 : 6 : 3
b) 6 : 4 : 3
c) 3 : 4 : 2
d) 2 : 3 : 4
Answer »Answer: (b)
According to the question,
2 A = 3 B ⇒ B = $2/3$A
and 2A = 4C ⇒ C = $1/2$A
A : B : C = A : $2/3$ A : $1/2$ A
= $1 : 2/3 : 1/2$ = 6 : 4 : 3
Question : 28 [SSC CGL Prelim 2000]
The ratio $2^{1.5} : 2^{0.5}$ is the same as :
a) 6 : 1
b) 3 : 2
c) 3 : 1
d) 2 : 1
Answer »Answer: (d)
Required ratio = $2^{1.5}/2^{0.5}$
= $2^{1.5 -0.5}/1$
$2/1$ = 2 : 1
Question : 29 [SSC CPO S.I.2006]
If p : q : r = 1 : 2 : 4, then $√{5p^2+q^2+r^2}$ is equal to
a) 5p
b) 4r
c) 2q
d) 5
Answer »Answer: (a)
$p/1 = q/2 = r/4$ = k (let)
p = k, q = 2k, r = 4k
$√{5p^2 + q^2 + r^2}$
= $√{5k^2 + 4k^2 + 16k^2}$
= $√{25k^2}$ =5k = 5p
Question : 30 [SSC CGL Prelim 2007]
If a : b : c = 7 : 3 : 5, then (a + b + c) : (2a + b - c) is equal to
a) 3 : 4
b) 5 : 4
c) 2 : 3
d) 1 : 2
Answer »Answer: (b)
a : b : c = 7 : 3 : 5
$a/7 =b/3 = c/5$ = k(let)
a = 7k, b = 3k, c = 5k
Now (a + b + c) : (2a + b - c)
= (7k + 3k + 5k) : (2 ×7k +3k - 5k)
= 15 k : 12 k = 5 : 4
IMPORTANT quantitative aptitude EXERCISES
-
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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