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 : 31 [SSC CGL 2008]
By how much does $6/\text"7/8"$ exceed $\text"6/7"/8$ ?
a) 7 $5/6$
b) 7 $3/4$
c) 6 $3/4$
d) 6 $1/8$
Answer »Answer: (c)
$6/{7/8} = {6×8}/7 = 48/7$
= ${6/7}/8 = 6/{7×8} = 3/28$
Required difference = $48/7 – 3/28$
= ${192 - 3}/28 = 189/28 = 27/4 = 6{3}/4$
Question : 32
A tin of oil was 4 5 full. When 6 bottles of oil was taken out and 4 bottles of oil was poured into it, it was $3/4$ full. How many bottles of oil can the tin contain ?
a) 40
b) 30
c) 20
d) 10
Answer »Answer: (a)
Let the tin contain x bottles of oil.
As given,
$4/5x – 6 + 4 = 3/4x$
$4/5x – 3/4 x$ = 2
$({16 – 15}/20)x$ = 2
$x/20$ = 2 ⇒ x = 2 × 20 = 40
The tin can contain 40 bottles.
Question : 33 [SSC CGL Prelim 2005]
The product of two fractions is $14/15$ and their quotient is $35/24$. The greater of the fractions is
a) $4/5$
b) $7/3$
c) $7/6$
d) $7/4$
Answer »Answer: (c)
Let the fractions be x and y, where x > y
$xy = 14/15$ and $x/y = 35/24$
$xy × x/ y$ = $14/15× 35/24$
$x^2$ = $49/36$⇒ $x = 7/6$
Question : 34 [SSC CGL Tier-I 2010]
The number 0.121212.... in the form $\text"p"/\text"q"$ is equal to
a) $2/33$
b) $4/33$
c) $2/11$
d) $4/11$
Answer »Answer: (b)
0.121212 .... = 0.$\ov{12}$ = $12/99 = 4/33$
Question : 35 [SSC FCI Assistant 2012]
The value of ${1/15 + 1/35 + 1/63 + 1/99 + 1/143}$ is
a) $7/39$
b) $2/39$
c) $4/39$
d) $5/39$
Answer »Answer: (d)
$1/15 + 1/35 + 1/63 + 1/99 + 1/143$
= $1/{3×5}+1/{5×7}+1/{7×9}+1/{9×11}+1/{11×13} $
=$1/2(1/3 - 1/5+1/5 - 1/7+1/7 - 1/9+1/9 - 1/11+1/11 - 1/13)$
=$1/2(1/3 - 1/13)$
= $1/2({13 - 3}/39) = 5/39$
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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