model 3 fraction of numbers Practice Questions Answers Test with Solutions & More Shortcuts
number system PRACTICE TEST [6 - EXERCISES]
model 1 basic number system
model 2 divisibility, multiples, add and subtract based number system
model 3 fraction of numbers
model 4 finding unit place of a number
model 5 smallest and largest fraction/numbers
model 6 operations of consecutive numbers (odd, even, square, etc.)
Question : 11 [SSC CPO S.I.2006]
If the difference between the reciprocal of a positive proper fraction and the fraction itself be $9/20$ , then the fraction is
a) $5/4$
b) $4/5$
c) $3/10$
d) $3/5$
Answer »Answer: (b)
The required fraction is $4/5$, because $5/4$ – $4/5$
=${25 - 16}/20 = 9/20$
Question : 12 [SSC SO 2003]
When $0.\ov{47}$ is converted as a fraction, the result is
a) $47/99$
b) $46/99$
c) $46/90$
d) $47/90$
Answer »Answer: (a)
$0.\ov{47} = 47/99$
Question : 13 [SSC CPO S.I. 2005]
$0.4\ov{23}$ is equivalent to the fraction :
a) $94/99$
b) $49/99$
c) $419/990$
d) $491/990$
Answer »Answer: (c)
$0.4\ov{23} = {423- 4}/990 = 419/990$
Question : 14 [SSC CHSL 2011]
The denominator of a fraction is 3 more than its numerator. If the numerator is increased by 7 and the denominator is decreased by 2, we obtain 2. The sum of numerator and denominator of the fraction is
a) 19
b) 17
c) 13
d) 5
Answer »Answer: (c)
Let the original fraction be $x/{x + 3}$.
${x + 7}/{x + 3 - 2} = 2$
$x + 7 = 2x + 2$
$x = 7 - 2 = 5$
Required sum =$x + x + 3 = 2x + 3 = 10 + 3 = 13$
Question : 15
The sum of the numerator and denominator of a positive fraction is 11. If 2 is added to both numerator and denominator, the fraction is increased by $1/24$. The difference of numerator and denominator of the fraction is
a) 9
b) 1
c) 3
d) 5
Answer »Answer: (b)
Let numerator be $x$, then denominator = 11 – $x$.
Fraction =$x/{11 - x}$
Again, ${x + 2}/{11 – x + 2} = x/{11 - x} + 1/24$
⇒ ${x + 2}/{13 - x} – x/{11 - x} = 1/24$
⇒ ${11x – x^2 + 22 – 2x – 13x +x^2}/{(13 - x)(11 - x)} = 1/24$
⇒ ${22 – 4x}/{(13 - x)(11 - x)} = 1/24$
⇒ $528 – 96x = 143 – 24x + x^2$
⇒ $x^2 + 72x – 385$ = 0
⇒ $x^2 + 77x – 5x – 385$ = 0
⇒ $x (x + 77) - 5 (x + 77)$ = 0
⇒ (x - 5) (x + 77) = 0 ⇒ x = 5
Denominator = 11 - 5 = 6
Difference = 6 - 5 = 1
IMPORTANT quantitative aptitude EXERCISES
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Basic Number System Aptitude Questions Practice Test with PDF »
-
Number System on Divisibility Multiple Add Subtract Live Test »
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Top 255+ Number System Fraction Aptitude Questions Answers »
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Top +299 Aptitude Number System (Find Unit Place) Mcq Quiz »
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Top Number System Aptitude (Smallest Largest Fraction) MCQ »
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199+ Aptitude Number System: Consecutive Numbers MCQ Quiz »
model 3 fraction of numbers Shortcuts »
Click to Read...model 3 fraction of numbers Online Quiz
Click to Start..number system Shortcuts and Techniques with Examples
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model 1 basic number system
Defination & Shortcuts … -
model 2 divisibility, multiples, add and subtract based number system
Defination & Shortcuts … -
model 3 fraction of numbers
Defination & Shortcuts … -
model 4 finding unit place of a number
Defination & Shortcuts … -
model 5 smallest and largest fraction/numbers
Defination & Shortcuts … -
model 6 operations of consecutive numbers (odd, even, square, etc.)
Defination & Shortcuts …
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