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 : 21 [SSC CGL 2002]
A boy on being asked what $6/7$ of a certain fraction was, made the mistake of dividing the fraction by $6/7$ and so got an answer which exceeded the correct answer by $13/70$. Find the fraction–
a) $7/9$
b) $4/5$
c) $3/5$
d) $2/3$
Answer »Answer: (c)
Let the fraction = x
According to the question;
$6/7$ of x = $x/{6/7} - 13/70$
= $\text"6x"/7 = \text"7x"/6 - 13/70$
= $\text"7x"/6 - \text"6x"/7 = 13/70$
= $\text"49x - 36x"/42 = 13/70$
= $\text"13x"/42 = 13/70$
x = ${13×42}/{70×13} = 3/5$
Question : 22 [SSC CGL Prelim 2008]
A boy was asked to find $3/5$ of a fraction. Instead, he divided the fraction by $3/5$ and got an answer which exceeded the correct answer by $32/75$ . The correct answer is
a) $2/15$
b) $2/25$
c) $6/25$
d) $3/25$
Answer »Answer: (c)
Let the fraction be x,
According to the question,
$x/{3/5}$ - $x × 3/5 = 32/75$
${5x}/3$ - ${3x}/5 = 32/75$
${25x – 9x}/15 = 32/75$
${16x}/15 = 32/75$
$x = 32/75 × 15/16 = 2/5$
Correct answer = $2/5 × 3/5 = 6/25$
Question : 23
Two-third of a positive number and $25/216$ of its reciprocal are equal. The number is
a) $12/5$
b) $144/25$
c) $5/12$
d) $25/144$
Answer »Answer: (c)
Let the number be x.
$2/3$x = $25/\text"216x"$⇒ $x^2 = {25×3}/{2×216}$
x = $√{{25×3}/{2×216}}$ = $√{25/144}$ = $5/12$
Question : 24 [SSC CGL 2002]
$1/2$ of $3/4$ of a number is 2$1/2$ of 10. What is the number?
a) 56
b) 66$2/3$
c) 60
d) 50
Answer »Answer: (b)
Let the number is x.
According to the question
$1/2$ of $3/4$ of x = 2$1/2$ of 10
=$\text"3x"/8 = 5/2$ × 10
x = ${5×10×8}/{3×2} = 200/3 =66{2/3}$
Question : 25 [SSC FCI Assistant 2012]
A tree increases annually by $1/8$th of its height. By how much will it increase after 2 years, if it stands today 64 cm high?
a) 81 cm
b) 75 cm
c) 74 cm
d) 72 cm
Answer »Answer: (a)
Height of tree after 1 year = 64 + 64 × $1/8$= 72 cm
Height of tree after 2 years = 72 + 72 × $1/8$
= 72 + 9 = 81 cm
IMPORTANT quantitative aptitude EXERCISES
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Basic Number System Aptitude Questions Practice Test with PDF »
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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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