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
-
Basic Number System Aptitude Questions Practice Test with PDF »
-
Number System on Divisibility Multiple Add Subtract Live Test »
-
Top 255+ Number System Fraction Aptitude Questions Answers »
-
Top +299 Aptitude Number System (Find Unit Place) Mcq Quiz »
-
Top Number System Aptitude (Smallest Largest Fraction) MCQ »
-
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
-
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 …
QUANTITATIVE APTITUDE CATEGORIES
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» Number System
-
» Average
-
» LCM & HCF
-
» Percentage
-
» Profit & Loss
-
» Time & Work
-
» Pipes & Cisterns
-
» Time & Distance
-
» Trains
-
» Compound Interest
-
» Simplification
-
» Discount
-
» Power
-
» Permutations & Combination
-
» Ratio & Proportion
-
» Advance Math
-
» Algebraic Expressions
-
» Trigonometric Ratios & Identities
-
» Simple Interest
-
» Alligation & Mixtures
-
» Boats & Streams
-
» Set Theory
-
» Linear Equations
-
» Quadratic Equations
-
» Mensuration
-
» Squareroots & Cuberoots
-
» Data Sufficiency
-
» Logarithm
-
» Probability
-
» Statistics
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